Thu, Mar 26, 2026

Propagation anomalies - 2026-03-26

Detection of blocks that propagated slower than expected, attempting to find correlations with blob count.

Show code
display_sql("block_production_timeline", target_date)
View query
WITH
-- Base slots using proposer duty as the source of truth
slots AS (
    SELECT DISTINCT
        slot,
        slot_start_date_time,
        proposer_validator_index
    FROM canonical_beacon_proposer_duty
    WHERE meta_network_name = 'mainnet'
      AND slot_start_date_time >= '2026-03-26' AND slot_start_date_time < '2026-03-26'::date + INTERVAL 1 DAY
),

-- Proposer entity mapping
proposer_entity AS (
    SELECT
        index,
        entity
    FROM ethseer_validator_entity
    WHERE meta_network_name = 'mainnet'
),

-- Blob count per slot
blob_count AS (
    SELECT
        slot,
        uniq(blob_index) AS blob_count
    FROM canonical_beacon_blob_sidecar
    WHERE meta_network_name = 'mainnet'
      AND slot_start_date_time >= '2026-03-26' AND slot_start_date_time < '2026-03-26'::date + INTERVAL 1 DAY
    GROUP BY slot
),

-- Canonical block hash (to verify MEV payload was actually used)
canonical_block AS (
    SELECT DISTINCT
        slot,
        execution_payload_block_hash
    FROM canonical_beacon_block
    WHERE meta_network_name = 'mainnet'
      AND slot_start_date_time >= '2026-03-26' AND slot_start_date_time < '2026-03-26'::date + INTERVAL 1 DAY
),

-- MEV bid timing using timestamp_ms
mev_bids AS (
    SELECT
        slot,
        slot_start_date_time,
        min(timestamp_ms) AS first_bid_timestamp_ms,
        max(timestamp_ms) AS last_bid_timestamp_ms
    FROM mev_relay_bid_trace
    WHERE meta_network_name = 'mainnet'
      AND slot_start_date_time >= '2026-03-26' AND slot_start_date_time < '2026-03-26'::date + INTERVAL 1 DAY
    GROUP BY slot, slot_start_date_time
),

-- MEV payload delivery - join canonical block with delivered payloads
-- Note: Use is_mev flag because ClickHouse LEFT JOIN returns 0 (not NULL) for non-matching rows
-- Get value from proposer_payload_delivered (not bid_trace, which may not have the winning block)
mev_payload AS (
    SELECT
        cb.slot,
        cb.execution_payload_block_hash AS winning_block_hash,
        1 AS is_mev,
        max(pd.value) AS winning_bid_value,
        groupArray(DISTINCT pd.relay_name) AS relay_names,
        any(pd.builder_pubkey) AS winning_builder
    FROM canonical_block cb
    GLOBAL INNER JOIN mev_relay_proposer_payload_delivered pd
        ON cb.slot = pd.slot AND cb.execution_payload_block_hash = pd.block_hash
    WHERE pd.meta_network_name = 'mainnet'
      AND slot_start_date_time >= '2026-03-26' AND slot_start_date_time < '2026-03-26'::date + INTERVAL 1 DAY
    GROUP BY cb.slot, cb.execution_payload_block_hash
),

-- Winning bid timing from bid_trace (may not exist for all MEV blocks)
winning_bid AS (
    SELECT
        bt.slot,
        bt.slot_start_date_time,
        argMin(bt.timestamp_ms, bt.event_date_time) AS winning_bid_timestamp_ms
    FROM mev_relay_bid_trace bt
    GLOBAL INNER JOIN mev_payload mp ON bt.slot = mp.slot AND bt.block_hash = mp.winning_block_hash
    WHERE bt.meta_network_name = 'mainnet'
      AND slot_start_date_time >= '2026-03-26' AND slot_start_date_time < '2026-03-26'::date + INTERVAL 1 DAY
    GROUP BY bt.slot, bt.slot_start_date_time
),

-- Block gossip timing with spread
block_gossip AS (
    SELECT
        slot,
        min(event_date_time) AS block_first_seen,
        max(event_date_time) AS block_last_seen
    FROM libp2p_gossipsub_beacon_block
    WHERE meta_network_name = 'mainnet'
      AND slot_start_date_time >= '2026-03-26' AND slot_start_date_time < '2026-03-26'::date + INTERVAL 1 DAY
    GROUP BY slot
),

-- Column arrival timing: first arrival per column, then min/max of those
column_gossip AS (
    SELECT
        slot,
        min(first_seen) AS first_column_first_seen,
        max(first_seen) AS last_column_first_seen
    FROM (
        SELECT
            slot,
            column_index,
            min(event_date_time) AS first_seen
        FROM libp2p_gossipsub_data_column_sidecar
        WHERE meta_network_name = 'mainnet'
          AND slot_start_date_time >= '2026-03-26' AND slot_start_date_time < '2026-03-26'::date + INTERVAL 1 DAY
          AND event_date_time > '1970-01-01 00:00:01'
        GROUP BY slot, column_index
    )
    GROUP BY slot
)

SELECT
    s.slot AS slot,
    s.slot_start_date_time AS slot_start_date_time,
    pe.entity AS proposer_entity,

    -- Blob count
    coalesce(bc.blob_count, 0) AS blob_count,

    -- MEV bid timing (absolute and relative to slot start)
    fromUnixTimestamp64Milli(mb.first_bid_timestamp_ms) AS first_bid_at,
    mb.first_bid_timestamp_ms - toInt64(toUnixTimestamp(mb.slot_start_date_time)) * 1000 AS first_bid_ms,
    fromUnixTimestamp64Milli(mb.last_bid_timestamp_ms) AS last_bid_at,
    mb.last_bid_timestamp_ms - toInt64(toUnixTimestamp(mb.slot_start_date_time)) * 1000 AS last_bid_ms,

    -- Winning bid timing (from bid_trace, may be NULL if block hash not in bid_trace)
    if(wb.slot != 0, fromUnixTimestamp64Milli(wb.winning_bid_timestamp_ms), NULL) AS winning_bid_at,
    if(wb.slot != 0, wb.winning_bid_timestamp_ms - toInt64(toUnixTimestamp(s.slot_start_date_time)) * 1000, NULL) AS winning_bid_ms,

    -- MEV payload info (from proposer_payload_delivered, always present for MEV blocks)
    if(mp.is_mev = 1, mp.winning_bid_value, NULL) AS winning_bid_value,
    if(mp.is_mev = 1, mp.relay_names, []) AS winning_relays,
    if(mp.is_mev = 1, mp.winning_builder, NULL) AS winning_builder,

    -- Block gossip timing with spread
    bg.block_first_seen,
    dateDiff('millisecond', s.slot_start_date_time, bg.block_first_seen) AS block_first_seen_ms,
    bg.block_last_seen,
    dateDiff('millisecond', s.slot_start_date_time, bg.block_last_seen) AS block_last_seen_ms,
    dateDiff('millisecond', bg.block_first_seen, bg.block_last_seen) AS block_spread_ms,

    -- Column arrival timing (NULL when no blobs)
    if(coalesce(bc.blob_count, 0) = 0, NULL, cg.first_column_first_seen) AS first_column_first_seen,
    if(coalesce(bc.blob_count, 0) = 0, NULL, dateDiff('millisecond', s.slot_start_date_time, cg.first_column_first_seen)) AS first_column_first_seen_ms,
    if(coalesce(bc.blob_count, 0) = 0, NULL, cg.last_column_first_seen) AS last_column_first_seen,
    if(coalesce(bc.blob_count, 0) = 0, NULL, dateDiff('millisecond', s.slot_start_date_time, cg.last_column_first_seen)) AS last_column_first_seen_ms,
    if(coalesce(bc.blob_count, 0) = 0, NULL, dateDiff('millisecond', cg.first_column_first_seen, cg.last_column_first_seen)) AS column_spread_ms

FROM slots s
GLOBAL LEFT JOIN proposer_entity pe ON s.proposer_validator_index = pe.index
GLOBAL LEFT JOIN blob_count bc ON s.slot = bc.slot
GLOBAL LEFT JOIN mev_bids mb ON s.slot = mb.slot
GLOBAL LEFT JOIN mev_payload mp ON s.slot = mp.slot
GLOBAL LEFT JOIN winning_bid wb ON s.slot = wb.slot
GLOBAL LEFT JOIN block_gossip bg ON s.slot = bg.slot
GLOBAL LEFT JOIN column_gossip cg ON s.slot = cg.slot

ORDER BY s.slot DESC
Show code
df = load_parquet("block_production_timeline", target_date)

# Filter to valid blocks (exclude missed slots)
df = df[df["block_first_seen_ms"].notna()]
df = df[(df["block_first_seen_ms"] >= 0) & (df["block_first_seen_ms"] < 60000)]

# Flag MEV vs local blocks
df["has_mev"] = df["winning_bid_value"].notna()
df["block_type"] = df["has_mev"].map({True: "MEV", False: "Local"})

# Get max blob count for charts
max_blobs = df["blob_count"].max()

print(f"Total valid blocks: {len(df):,}")
print(f"MEV blocks: {df['has_mev'].sum():,} ({df['has_mev'].mean()*100:.1f}%)")
print(f"Local blocks: {(~df['has_mev']).sum():,} ({(~df['has_mev']).mean()*100:.1f}%)")
Total valid blocks: 7,178
MEV blocks: 6,593 (91.9%)
Local blocks: 585 (8.1%)

Anomaly detection method

The method:

  1. Fit linear regression: block_first_seen_ms ~ blob_count
  2. Calculate residuals (actual - expected)
  3. Flag blocks with residuals > 2σ as anomalies

Points above the ±2σ band propagated slower than expected given their blob count.

Show code
# Conditional outliers: blocks slow relative to their blob count
df_anomaly = df.copy()

# Fit regression: block_first_seen_ms ~ blob_count
slope, intercept, r_value, p_value, std_err = stats.linregress(
    df_anomaly["blob_count"].astype(float), df_anomaly["block_first_seen_ms"]
)

# Calculate expected value and residual
df_anomaly["expected_ms"] = intercept + slope * df_anomaly["blob_count"].astype(float)
df_anomaly["residual_ms"] = df_anomaly["block_first_seen_ms"] - df_anomaly["expected_ms"]

# Calculate residual standard deviation
residual_std = df_anomaly["residual_ms"].std()

# Flag anomalies: residual > 2σ (unexpectedly slow)
df_anomaly["is_anomaly"] = df_anomaly["residual_ms"] > 2 * residual_std

n_anomalies = df_anomaly["is_anomaly"].sum()
pct_anomalies = n_anomalies / len(df_anomaly) * 100

# Prepare outliers dataframe
df_outliers = df_anomaly[df_anomaly["is_anomaly"]].copy()
df_outliers["relay"] = df_outliers["winning_relays"].apply(lambda x: x[0] if len(x) > 0 else "Local")
df_outliers["proposer"] = df_outliers["proposer_entity"].fillna("Unknown")
df_outliers["builder"] = df_outliers["winning_builder"].apply(
    lambda x: f"{x[:10]}..." if pd.notna(x) and x else "Local"
)

print(f"Regression: block_ms = {intercept:.1f} + {slope:.2f} × blob_count (R² = {r_value**2:.3f})")
print(f"Residual σ = {residual_std:.1f}ms")
print(f"Anomalies (>2σ slow): {n_anomalies:,} ({pct_anomalies:.1f}%)")
Regression: block_ms = 1742.9 + 15.06 × blob_count (R² = 0.008)
Residual σ = 637.8ms
Anomalies (>2σ slow): 324 (4.5%)
Show code
# Create scatter plot with regression band
x_range = np.array([0, int(max_blobs)])
y_pred = intercept + slope * x_range
y_upper = y_pred + 2 * residual_std
y_lower = y_pred - 2 * residual_std

fig = go.Figure()

# Add ±2σ band
fig.add_trace(go.Scatter(
    x=np.concatenate([x_range, x_range[::-1]]),
    y=np.concatenate([y_upper, y_lower[::-1]]),
    fill="toself",
    fillcolor="rgba(100,100,100,0.2)",
    line=dict(width=0),
    name="±2σ band",
    hoverinfo="skip",
))

# Add regression line
fig.add_trace(go.Scatter(
    x=x_range,
    y=y_pred,
    mode="lines",
    line=dict(color="white", width=2, dash="dash"),
    name="Expected",
))

# Normal points (sample to avoid overplotting)
df_normal = df_anomaly[~df_anomaly["is_anomaly"]]
if len(df_normal) > 2000:
    df_normal = df_normal.sample(2000, random_state=42)

fig.add_trace(go.Scatter(
    x=df_normal["blob_count"],
    y=df_normal["block_first_seen_ms"],
    mode="markers",
    marker=dict(size=4, color="rgba(100,150,200,0.4)"),
    name=f"Normal ({len(df_anomaly) - n_anomalies:,})",
    hoverinfo="skip",
))

# Anomaly points
fig.add_trace(go.Scatter(
    x=df_outliers["blob_count"],
    y=df_outliers["block_first_seen_ms"],
    mode="markers",
    marker=dict(
        size=7,
        color="#e74c3c",
        line=dict(width=1, color="white"),
    ),
    name=f"Anomalies ({n_anomalies:,})",
    customdata=np.column_stack([
        df_outliers["slot"],
        df_outliers["residual_ms"].round(0),
        df_outliers["relay"],
    ]),
    hovertemplate="<b>Slot %{customdata[0]}</b><br>Blobs: %{x}<br>Actual: %{y:.0f}ms<br>+%{customdata[1]}ms vs expected<br>Relay: %{customdata[2]}<extra></extra>",
))

fig.update_layout(
    margin=dict(l=60, r=30, t=30, b=60),
    xaxis=dict(title="Blob count", range=[-0.5, int(max_blobs) + 0.5]),
    yaxis=dict(title="Block first seen (ms from slot start)"),
    legend=dict(orientation="h", yanchor="bottom", y=1.02, xanchor="right", x=1),
    height=500,
)
fig.show(config={"responsive": True})

All propagation anomalies

Blocks that propagated much slower than expected given their blob count, sorted by residual (worst first).

Show code
# All anomalies table with selectable text and Lab links
if n_anomalies > 0:
    df_table = df_outliers.sort_values("residual_ms", ascending=False)[
        ["slot", "blob_count", "block_first_seen_ms", "expected_ms", "residual_ms", "proposer", "builder", "relay"]
    ].copy()
    df_table["block_first_seen_ms"] = df_table["block_first_seen_ms"].round(0).astype(int)
    df_table["expected_ms"] = df_table["expected_ms"].round(0).astype(int)
    df_table["residual_ms"] = df_table["residual_ms"].round(0).astype(int)
    
    # Build HTML table
    html = '''
    <style>
    .anomaly-table { border-collapse: collapse; width: 100%; font-family: monospace; font-size: 13px; }
    .anomaly-table th { background: #2c3e50; color: white; padding: 8px 12px; text-align: left; position: sticky; top: 0; }
    .anomaly-table td { padding: 6px 12px; border-bottom: 1px solid #eee; }
    .anomaly-table tr:hover { background: #f5f5f5; }
    .anomaly-table .num { text-align: right; }
    .anomaly-table .delta { background: #ffebee; color: #c62828; font-weight: bold; }
    .anomaly-table a { color: #1976d2; text-decoration: none; }
    .anomaly-table a:hover { text-decoration: underline; }
    .table-container { max-height: 600px; overflow-y: auto; }
    </style>
    <div class="table-container">
    <table class="anomaly-table">
    <thead>
    <tr><th>Slot</th><th class="num">Blobs</th><th class="num">Actual (ms)</th><th class="num">Expected (ms)</th><th class="num">Δ (ms)</th><th>Proposer</th><th>Builder</th><th>Relay</th></tr>
    </thead>
    <tbody>
    '''
    
    for _, row in df_table.iterrows():
        slot_link = f'<a href="https://lab.ethpandaops.io/ethereum/slots/{row["slot"]}" target="_blank">{row["slot"]}</a>'
        html += f'''<tr>
            <td>{slot_link}</td>
            <td class="num">{row["blob_count"]}</td>
            <td class="num">{row["block_first_seen_ms"]}</td>
            <td class="num">{row["expected_ms"]}</td>
            <td class="num delta">+{row["residual_ms"]}</td>
            <td>{row["proposer"]}</td>
            <td>{row["builder"]}</td>
            <td>{row["relay"]}</td>
        </tr>'''
    
    html += '</tbody></table></div>'
    display(HTML(html))
    print(f"\nTotal anomalies: {len(df_table):,}")
else:
    print("No anomalies detected.")
SlotBlobsActual (ms)Expected (ms)Δ (ms)ProposerBuilderRelay
13976960 0 11188 1743 +9445 abyss_finance Local Local
13975168 0 8166 1743 +6423 rocklogicgmbh_lido Local Local
13975552 7 8107 1848 +6259 upbit Local Local
13976224 6 6476 1833 +4643 piertwo Local Local
13977897 0 6340 1743 +4597 solo_stakers Local Local
13972972 0 6212 1743 +4469 ether.fi Local Local
13976781 0 5527 1743 +3784 whale_0x7513 Local Local
13976568 0 5275 1743 +3532 solo_stakers Local Local
13973951 3 5088 1788 +3300 lido Local Local
13972320 0 4856 1743 +3113 upbit Local Local
13978051 5 4796 1818 +2978 whale_0xe3f7 Local Local
13973827 0 4684 1743 +2941 develpgmbh_lido Local Local
13974144 0 4660 1743 +2917 upbit Local Local
13975551 0 4562 1743 +2819 upbit Local Local
13971936 0 4213 1743 +2470 blockdaemon_lido Local Local
13974792 9 4316 1878 +2438 coinbase 0x856b0004... Ultra Sound
13976734 0 3863 1743 +2120 ether.fi Local Local
13974784 0 3763 1743 +2020 blockdaemon_lido Local Local
13978306 1 3751 1758 +1993 ether.fi 0x853b0078... Agnostic Gnosis
13978251 4 3796 1803 +1993 coinbase 0x8db2a99d... Aestus
13976773 0 3682 1743 +1939 whale_0x8ebd 0x823e0146... Ultra Sound
13976320 0 3678 1743 +1935 blockdaemon_lido 0x851b00b1... BloXroute Max Profit
13978180 6 3713 1833 +1880 nethermind_lido 0x88857150... Ultra Sound
13977261 0 3622 1743 +1879 whale_0x8ebd 0xb67eaa5e... Aestus
13972761 3 3647 1788 +1859 blockdaemon_lido 0xb26f9666... Titan Relay
13976019 2 3599 1773 +1826 coinbase 0x8db2a99d... Aestus
13977619 8 3676 1863 +1813 whale_0x8ebd 0x823e0146... Aestus
13974454 0 3546 1743 +1803 ether.fi 0xb67eaa5e... BloXroute Regulated
13976943 2 3551 1773 +1778 ether.fi 0xb67eaa5e... Titan Relay
13972448 0 3519 1743 +1776 whale_0x8ebd 0xb26f9666... Titan Relay
13972101 11 3670 1908 +1762 blockdaemon 0xb4ce6162... Ultra Sound
13971790 5 3575 1818 +1757 blockdaemon 0x88857150... Ultra Sound
13975724 0 3480 1743 +1737 nethermind_lido 0x99dbe3e8... Agnostic Gnosis
13976736 1 3493 1758 +1735 stakingfacilities_lido 0x856b0004... BloXroute Max Profit
13971973 5 3548 1818 +1730 coinbase 0x823e0146... Aestus
13974240 3 3506 1788 +1718 stakefish Local Local
13977156 5 3530 1818 +1712 blockdaemon_lido 0x853b0078... BloXroute Max Profit
13975825 6 3544 1833 +1711 everstake 0xaceaea9f... Aestus
13974860 0 3440 1743 +1697 blockdaemon_lido 0x851b00b1... Ultra Sound
13973521 1 3455 1758 +1697 nethermind_lido 0x88857150... Ultra Sound
13977227 3 3483 1788 +1695 blockdaemon 0x8a850621... Titan Relay
13974540 5 3511 1818 +1693 stakefish 0x88a53ec4... BloXroute Max Profit
13975495 1 3449 1758 +1691 kraken 0x82c466b9... EthGas
13972160 5 3509 1818 +1691 everstake 0x823e0146... BloXroute Max Profit
13978295 0 3433 1743 +1690 nethermind_lido 0x851b00b1... Flashbots
13975350 5 3508 1818 +1690 ether.fi 0xb26f9666... Titan Relay
13976095 0 3428 1743 +1685 everstake 0x8db2a99d... Ultra Sound
13973830 6 3517 1833 +1684 figment 0xb26f9666... Titan Relay
13972117 5 3492 1818 +1674 blockdaemon_lido 0xb4ce6162... Ultra Sound
13971876 0 3412 1743 +1669 nethermind_lido 0x8db2a99d... Flashbots
13978369 1 3421 1758 +1663 p2porg 0x88857150... Ultra Sound
13971648 8 3524 1863 +1661 blockdaemon_lido 0x88a53ec4... BloXroute Max Profit
13978296 7 3501 1848 +1653 figment 0x8527d16c... Ultra Sound
13975200 0 3388 1743 +1645 0x855b00e6... BloXroute Max Profit
13973568 4 3448 1803 +1645 develpgmbh_lido 0x823e0146... BloXroute Max Profit
13978537 0 3387 1743 +1644 0x850b00e0... BloXroute Regulated
13975123 5 3461 1818 +1643 ether.fi 0x88a53ec4... BloXroute Regulated
13976992 0 3384 1743 +1641 bitstamp 0xb67eaa5e... BloXroute Regulated
13974912 0 3381 1743 +1638 bitstamp 0xb67eaa5e... BloXroute Regulated
13973696 3 3426 1788 +1638 gateway.fmas_lido 0x88a53ec4... BloXroute Regulated
13973876 3 3425 1788 +1637 nethermind_lido 0x856b0004... Agnostic Gnosis
13972444 2 3409 1773 +1636 whale_0x8ebd 0x8db2a99d... Ultra Sound
13972120 5 3453 1818 +1635 blockdaemon 0x88857150... Ultra Sound
13975099 0 3370 1743 +1627 nethermind_lido 0x853b0078... Agnostic Gnosis
13978361 4 3428 1803 +1625 whale_0xdc8d 0x850b00e0... BloXroute Regulated
13975488 6 3457 1833 +1624 bridgetower_lido 0x850b00e0... BloXroute Max Profit
13971755 3 3408 1788 +1620 whale_0xdc8d 0x850b00e0... BloXroute Regulated
13973445 0 3361 1743 +1618 nethermind_lido 0x8527d16c... Ultra Sound
13976409 3 3405 1788 +1617 whale_0x8ebd 0xb4ce6162... Ultra Sound
13975784 0 3352 1743 +1609 whale_0xdc8d 0xb67eaa5e... BloXroute Max Profit
13975915 1 3367 1758 +1609 blockdaemon 0x855b00e6... BloXroute Max Profit
13978486 1 3355 1758 +1597 everstake 0xb4ce6162... Ultra Sound
13973913 2 3370 1773 +1597 nethermind_lido 0x853b0078... Agnostic Gnosis
13976484 6 3428 1833 +1595 blockdaemon_lido 0x8db2a99d... Ultra Sound
13975469 1 3351 1758 +1593 everstake 0x8527d16c... Ultra Sound
13973763 1 3349 1758 +1591 blockdaemon_lido 0x853b0078... BloXroute Regulated
13972579 0 3331 1743 +1588 everstake 0xb26f9666... Titan Relay
13974452 0 3330 1743 +1587 blockdaemon_lido 0x855b00e6... BloXroute Max Profit
13977814 1 3345 1758 +1587 blockdaemon_lido 0xb67eaa5e... BloXroute Max Profit
13975169 6 3419 1833 +1586 whale_0x4289 Local Local
13972255 0 3328 1743 +1585 nethermind_lido 0x88857150... Ultra Sound
13974866 0 3326 1743 +1583 0xb26f9666... Titan Relay
13976795 5 3399 1818 +1581 whale_0xdc8d 0xb26f9666... Titan Relay
13974790 3 3367 1788 +1579 blockdaemon 0x8a850621... BloXroute Max Profit
13974679 13 3515 1939 +1576 blockdaemon 0x88a53ec4... BloXroute Max Profit
13974875 3 3364 1788 +1576 nethermind_lido 0x853b0078... Agnostic Gnosis
13975198 5 3392 1818 +1574 blockdaemon_lido 0x850b00e0... BloXroute Max Profit
13978556 0 3316 1743 +1573 blockdaemon 0x88a53ec4... BloXroute Regulated
13973721 1 3330 1758 +1572 blockdaemon_lido 0xb26f9666... Titan Relay
13972995 5 3386 1818 +1568 nethermind_lido 0x8527d16c... Ultra Sound
13977418 0 3309 1743 +1566 blockdaemon_lido 0x88a53ec4... BloXroute Regulated
13975868 3 3354 1788 +1566 0x8527d16c... Ultra Sound
13978502 5 3383 1818 +1565 blockdaemon 0x8a850621... Titan Relay
13978755 4 3363 1803 +1560 luno 0x8db2a99d... Ultra Sound
13972772 0 3296 1743 +1553 blockdaemon 0xb26f9666... Titan Relay
13973580 13 3488 1939 +1549 nethermind_lido 0x8527d16c... Ultra Sound
13976402 6 3382 1833 +1549 blockdaemon 0xb67eaa5e... BloXroute Regulated
13974391 3 3335 1788 +1547 blockdaemon 0x823e0146... Ultra Sound
13975221 9 3424 1878 +1546 coinbase 0xac23f8cc... Aestus
13972093 5 3362 1818 +1544 ether.fi Local Local
13972967 6 3374 1833 +1541 p2porg 0xb67eaa5e... BloXroute Regulated
13975227 4 3342 1803 +1539 revolut 0xb26f9666... Titan Relay
13975493 5 3356 1818 +1538 everstake 0x8527d16c... Ultra Sound
13972360 12 3460 1924 +1536 nethermind_lido 0x853b0078... Ultra Sound
13975444 6 3367 1833 +1534 luno 0x853b0078... Ultra Sound
13975280 5 3350 1818 +1532 ether.fi 0xb26f9666... Titan Relay
13973376 12 3453 1924 +1529 bitstamp 0x8527d16c... Ultra Sound
13972778 4 3332 1803 +1529 whale_0xdc8d 0x853b0078... BloXroute Regulated
13976711 1 3286 1758 +1528 whale_0x8ebd 0xac23f8cc... Ultra Sound
13976827 10 3421 1893 +1528 whale_0xdc8d 0x88a53ec4... BloXroute Max Profit
13975171 1 3282 1758 +1524 whale_0xdc8d 0xac23f8cc... Ultra Sound
13972781 5 3342 1818 +1524 coinbase 0xb67eaa5e... BloXroute Regulated
13974293 0 3256 1743 +1513 blockdaemon_lido 0x8527d16c... Ultra Sound
13972067 8 3376 1863 +1513 blockdaemon 0x88857150... Ultra Sound
13974953 11 3416 1908 +1508 blockdaemon 0x88a53ec4... BloXroute Regulated
13974693 1 3264 1758 +1506 blockdaemon_lido 0x823e0146... Ultra Sound
13971989 5 3324 1818 +1506 blockdaemon_lido 0xb67eaa5e... Titan Relay
13974508 5 3324 1818 +1506 0x88857150... Ultra Sound
13975903 9 3384 1878 +1506 p2porg 0xb67eaa5e... Aestus
13976525 1 3263 1758 +1505 p2porg 0x88857150... Ultra Sound
13972723 11 3413 1908 +1505 blockdaemon_lido 0x88857150... Ultra Sound
13974576 8 3367 1863 +1504 revolut 0xb67eaa5e... BloXroute Regulated
13976188 6 3336 1833 +1503 gateway.fmas_lido 0x850b00e0... BloXroute Max Profit
13977878 6 3336 1833 +1503 whale_0x8ebd 0x8db2a99d... BloXroute Max Profit
13977130 1 3254 1758 +1496 blockdaemon_lido 0xb26f9666... Titan Relay
13978558 3 3283 1788 +1495 blockdaemon_lido 0x88857150... Ultra Sound
13975042 7 3343 1848 +1495 whale_0x23be 0x855b00e6... Flashbots
13973979 5 3312 1818 +1494 gateway.fmas_lido 0x88a53ec4... BloXroute Max Profit
13972083 1 3246 1758 +1488 blockdaemon 0xb4ce6162... Ultra Sound
13971889 12 3407 1924 +1483 nethermind_lido 0x853b0078... Agnostic Gnosis
13973493 2 3255 1773 +1482 blockdaemon 0xb26f9666... Titan Relay
13973288 5 3299 1818 +1481 bitstamp 0xb67eaa5e... BloXroute Max Profit
13971787 8 3344 1863 +1481 blockdaemon 0x856b0004... Ultra Sound
13973719 8 3344 1863 +1481 blockdaemon_lido 0x88857150... Ultra Sound
13972890 0 3222 1743 +1479 blockdaemon_lido 0x850b00e0... BloXroute Max Profit
13975340 0 3222 1743 +1479 gateway.fmas_lido 0x855b00e6... BloXroute Max Profit
13978331 5 3297 1818 +1479 kraken 0x82c466b9... EthGas
13973934 6 3311 1833 +1478 blockdaemon 0x8527d16c... Ultra Sound
13975698 0 3213 1743 +1470 blockdaemon_lido 0x88857150... Ultra Sound
13973649 10 3361 1893 +1468 ether.fi 0xb26f9666... Titan Relay
13972856 8 3329 1863 +1466 blockdaemon 0x88a53ec4... BloXroute Regulated
13976361 9 3344 1878 +1466 whale_0x8ebd 0xb26f9666... Titan Relay
13973620 5 3283 1818 +1465 stakingfacilities_lido 0x88a53ec4... BloXroute Regulated
13977999 1 3220 1758 +1462 solo_stakers Local Local
13977438 13 3395 1939 +1456 blockdaemon_lido 0x8527d16c... Ultra Sound
13978265 6 3287 1833 +1454 luno 0xb26f9666... Titan Relay
13975727 20 3495 2044 +1451 coinbase 0xb7c5e609... BloXroute Max Profit
13976340 6 3284 1833 +1451 gateway.fmas_lido 0x855b00e6... Flashbots
13974706 6 3281 1833 +1448 p2porg 0xac23f8cc... BloXroute Regulated
13975665 0 3190 1743 +1447 whale_0x8ebd 0x88a53ec4... BloXroute Regulated
13976581 1 3205 1758 +1447 p2porg 0x855b00e6... BloXroute Max Profit
13976242 0 3189 1743 +1446 revolut 0x853b0078... Ultra Sound
13972279 8 3309 1863 +1446 whale_0x8ebd 0x8db2a99d... BloXroute Max Profit
13975437 9 3322 1878 +1444 p2porg 0xb26f9666... Titan Relay
13978720 5 3261 1818 +1443 nethermind_lido 0xb67eaa5e... BloXroute Regulated
13978155 6 3272 1833 +1439 kiln 0xb67eaa5e... BloXroute Max Profit
13977714 0 3181 1743 +1438 bitstamp 0xb67eaa5e... BloXroute Regulated
13973732 7 3286 1848 +1438 blockdaemon 0xb26f9666... Titan Relay
13975410 14 3391 1954 +1437 gateway.fmas_lido 0x88a53ec4... BloXroute Max Profit
13974184 6 3265 1833 +1432 bitstamp 0xb67eaa5e... BloXroute Max Profit
13971704 5 3249 1818 +1431 p2porg 0xb67eaa5e... Aestus
13973892 6 3264 1833 +1431 blockdaemon_lido 0x850b00e0... BloXroute Max Profit
13974585 2 3203 1773 +1430 whale_0x8ebd 0xb67eaa5e... BloXroute Regulated
13978374 0 3169 1743 +1426 gateway.fmas_lido 0x8527d16c... Ultra Sound
13975414 0 3168 1743 +1425 gateway.fmas_lido 0x88857150... Ultra Sound
13975896 0 3165 1743 +1422 p2porg 0xb26f9666... Titan Relay
13971979 1 3180 1758 +1422 coinbase 0x88a53ec4... BloXroute Regulated
13974474 2 3194 1773 +1421 blockdaemon_lido 0x855b00e6... BloXroute Max Profit
13974877 7 3269 1848 +1421 revolut 0xb26f9666... Titan Relay
13974195 1 3178 1758 +1420 kiln 0x8db2a99d... Flashbots
13975973 0 3162 1743 +1419 blockdaemon_lido 0x88a53ec4... BloXroute Max Profit
13971767 4 3221 1803 +1418 p2porg 0x850b00e0... BloXroute Regulated
13978480 0 3160 1743 +1417 blockdaemon_lido 0x855b00e6... BloXroute Max Profit
13977466 2 3184 1773 +1411 revolut 0x853b0078... BloXroute Regulated
13975384 3 3199 1788 +1411 kiln 0x88857150... Ultra Sound
13975301 0 3152 1743 +1409 blockdaemon 0x88a53ec4... BloXroute Max Profit
13974013 1 3167 1758 +1409 p2porg 0xb67eaa5e... BloXroute Regulated
13972807 6 3242 1833 +1409 gateway.fmas_lido 0xb67eaa5e... BloXroute Regulated
13975625 3 3195 1788 +1407 coinbase 0xb26f9666... Titan Relay
13975403 5 3223 1818 +1405 stakingfacilities_lido 0xb67eaa5e... BloXroute Max Profit
13976065 3 3192 1788 +1404 coinbase 0x8527d16c... Ultra Sound
13976108 0 3144 1743 +1401 p2porg 0xb26f9666... Titan Relay
13978377 5 3218 1818 +1400 p2porg 0x855b00e6... BloXroute Max Profit
13976892 6 3233 1833 +1400 revolut 0x8527d16c... Ultra Sound
13974467 0 3142 1743 +1399 p2porg 0xb26f9666... Titan Relay
13973933 1 3157 1758 +1399 gateway.fmas_lido 0xb67eaa5e... BloXroute Max Profit
13974379 1 3157 1758 +1399 gateway.fmas_lido 0x88a53ec4... BloXroute Max Profit
13975376 5 3217 1818 +1399 kiln 0x88a53ec4... BloXroute Regulated
13973628 3 3184 1788 +1396 revolut 0x8527d16c... Ultra Sound
13974483 5 3214 1818 +1396 gateway.fmas_lido 0xb67eaa5e... BloXroute Regulated
13973781 2 3165 1773 +1392 blockdaemon_lido 0xac23f8cc... Ultra Sound
13975867 6 3224 1833 +1391 everstake 0xaceaea9f... Aestus
13977644 2 3162 1773 +1389 gateway.fmas_lido 0x853b0078... Aestus
13972460 2 3162 1773 +1389 bitstamp 0xb67eaa5e... BloXroute Regulated
13975363 6 3222 1833 +1389 blockdaemon_lido 0xb26f9666... Titan Relay
13978715 0 3130 1743 +1387 everstake 0x855b00e6... BloXroute Max Profit
13972806 0 3129 1743 +1386 coinbase 0x88857150... Ultra Sound
13973330 7 3234 1848 +1386 whale_0x8ebd 0xb4ce6162... Ultra Sound
13975968 10 3279 1893 +1386 kraken 0x8db2a99d... Ultra Sound
13975449 2 3158 1773 +1385 gateway.fmas_lido 0x8527d16c... Ultra Sound
13971817 8 3248 1863 +1385 blockdaemon 0xb26f9666... Titan Relay
13973844 0 3125 1743 +1382 p2porg 0x850b00e0... BloXroute Regulated
13976463 1 3138 1758 +1380 p2porg 0x850b00e0... BloXroute Regulated
13972621 6 3213 1833 +1380 stakingfacilities_lido 0x88a53ec4... BloXroute Max Profit
13974314 0 3122 1743 +1379 p2porg 0x83d6a6ab... BloXroute Max Profit
13973378 1 3137 1758 +1379 p2porg 0x855b00e6... BloXroute Max Profit
13975366 6 3212 1833 +1379 coinbase 0xb26f9666... Titan Relay
13974366 14 3329 1954 +1375 blockdaemon 0x823e0146... Ultra Sound
13974514 0 3118 1743 +1375 whale_0x8ebd 0x8527d16c... Ultra Sound
13976774 6 3207 1833 +1374 coinbase 0x853b0078... Aestus
13976529 9 3252 1878 +1374 p2porg 0x823e0146... BloXroute Regulated
13977302 1 3130 1758 +1372 gateway.fmas_lido 0x8527d16c... Ultra Sound
13978194 0 3114 1743 +1371 kiln 0xb26f9666... Aestus
13974378 1 3129 1758 +1371 figment 0x853b0078... Ultra Sound
13977534 0 3113 1743 +1370 p2porg 0xb67eaa5e... BloXroute Max Profit
13975932 6 3201 1833 +1368 abyss_finance 0x856b0004... Aestus
13976287 0 3110 1743 +1367 whale_0x8ebd 0x88857150... Ultra Sound
13972139 5 3185 1818 +1367 gateway.fmas_lido 0xb67eaa5e... BloXroute Max Profit
13976712 0 3108 1743 +1365 stader 0x823e0146... Flashbots
13975824 1 3121 1758 +1363 p2porg 0x853b0078... Ultra Sound
13978395 0 3102 1743 +1359 p2porg 0xb67eaa5e... BloXroute Regulated
13974929 0 3101 1743 +1358 everstake 0x88a53ec4... Aestus
13972260 7 3205 1848 +1357 everstake 0x855b00e6... BloXroute Max Profit
13976132 14 3310 1954 +1356 p2porg 0x850b00e0... BloXroute Regulated
13971726 1 3114 1758 +1356 kiln 0x850b00e0... BloXroute Max Profit
13975405 1 3114 1758 +1356 0x853b0078... Aestus
13977383 6 3188 1833 +1355 p2porg 0xb26f9666... Titan Relay
13973619 5 3171 1818 +1353 whale_0x8ebd 0x8a850621... Titan Relay
13972275 0 3095 1743 +1352 whale_0x8ebd 0x8527d16c... Ultra Sound
13977805 6 3185 1833 +1352 everstake 0xb67eaa5e... Aestus
13971600 0 3094 1743 +1351 gateway.fmas_lido 0x88857150... Ultra Sound
13975918 0 3094 1743 +1351 p2porg 0x850b00e0... BloXroute Regulated
13975499 0 3094 1743 +1351 whale_0x8ebd 0xb26f9666... BloXroute Max Profit
13973831 1 3109 1758 +1351 stakingfacilities_lido 0x823e0146... Ultra Sound
13973930 3 3139 1788 +1351 p2porg 0x850b00e0... BloXroute Regulated
13972527 0 3093 1743 +1350 stader 0xb3a6dc1f... Flashbots
13973544 6 3181 1833 +1348 coinbase 0xb67eaa5e... BloXroute Max Profit
13972534 6 3181 1833 +1348 stakingfacilities_lido 0xb67eaa5e... BloXroute Max Profit
13978240 5 3165 1818 +1347 stakingfacilities_lido 0x8527d16c... Ultra Sound
13976335 0 3089 1743 +1346 whale_0xd7f8 0x856b0004... Agnostic Gnosis
13976452 0 3089 1743 +1346 p2porg 0x88a53ec4... BloXroute Max Profit
13977259 2 3119 1773 +1346 whale_0x8ebd 0xb26f9666... Titan Relay
13973678 1 3103 1758 +1345 whale_0x8ebd 0xb67eaa5e... BloXroute Regulated
13976255 3 3133 1788 +1345 p2porg 0x8db2a99d... Ultra Sound
13972456 4 3148 1803 +1345 kiln 0x823e0146... Flashbots
13971992 6 3175 1833 +1342 p2porg 0x853b0078... Aestus
13978578 0 3084 1743 +1341 p2porg 0x850b00e0... BloXroute Regulated
13972599 0 3082 1743 +1339 kiln 0x8db2a99d... Aestus
13974830 0 3081 1743 +1338 whale_0x8ebd 0x99dbe3e8... Agnostic Gnosis
13977772 0 3079 1743 +1336 whale_0x8ebd 0x8527d16c... Ultra Sound
13976388 0 3078 1743 +1335 figment 0x8527d16c... Ultra Sound
13975826 0 3077 1743 +1334 everstake 0x8db2a99d... Aestus
13973811 7 3182 1848 +1334 p2porg 0x850b00e0... BloXroute Regulated
13972910 5 3151 1818 +1333 blockdaemon 0x853b0078... BloXroute Regulated
13975758 5 3151 1818 +1333 p2porg 0x8db2a99d... Ultra Sound
13975976 0 3074 1743 +1331 p2porg 0x88a53ec4... BloXroute Regulated
13973548 5 3149 1818 +1331 everstake 0xb26f9666... Aestus
13973828 0 3072 1743 +1329 kiln 0x99cba505... BloXroute Regulated
13973650 5 3147 1818 +1329 p2porg 0x855b00e6... Ultra Sound
13978433 5 3146 1818 +1328 figment 0x855b00e6... BloXroute Max Profit
13976833 0 3069 1743 +1326 bitstamp 0x88a53ec4... BloXroute Regulated
13978000 9 3203 1878 +1325 whale_0x8ebd 0x8a850621... Titan Relay
13973710 1 3082 1758 +1324 p2porg 0x856b0004... Agnostic Gnosis
13976373 0 3066 1743 +1323 everstake 0xac23f8cc... Aestus
13975111 0 3066 1743 +1323 coinbase 0xb26f9666... Titan Relay
13974551 0 3065 1743 +1322 whale_0x8ebd 0x8527d16c... Ultra Sound
13977042 6 3155 1833 +1322 whale_0x8ebd 0x88a53ec4... BloXroute Regulated
13978103 0 3064 1743 +1321 blockdaemon_lido 0x8527d16c... Ultra Sound
13978706 6 3154 1833 +1321 p2porg 0xb26f9666... Titan Relay
13974361 5 3138 1818 +1320 whale_0x8ebd 0xac23f8cc... Ultra Sound
13975729 16 3303 1984 +1319 coinbase 0x853b0078... Aestus
13975615 6 3152 1833 +1319 whale_0x8ebd 0x8a850621... Titan Relay
13977314 3 3105 1788 +1317 p2porg 0x853b0078... Ultra Sound
13975804 5 3135 1818 +1317 kiln 0xb67eaa5e... BloXroute Max Profit
13976961 6 3150 1833 +1317 binance 0xaf40d0ff... Flashbots
13975068 12 3240 1924 +1316 whale_0x8ebd 0x8db2a99d... BloXroute Max Profit
13974926 0 3059 1743 +1316 coinbase 0x88a53ec4... BloXroute Regulated
13974942 0 3059 1743 +1316 swell 0x805e28e6... Flashbots
13972339 0 3058 1743 +1315 p2porg 0xac23f8cc... Flashbots
13977831 1 3073 1758 +1315 p2porg 0x8db2a99d... Ultra Sound
13971666 5 3132 1818 +1314 coinbase 0x8527d16c... Ultra Sound
13977337 2 3085 1773 +1312 0x856b0004... Aestus
13972196 5 3129 1818 +1311 p2porg 0x88857150... Ultra Sound
13975321 0 3052 1743 +1309 coinbase 0xb26f9666... Aestus
13977804 3 3097 1788 +1309 whale_0x8ebd 0x8527d16c... Ultra Sound
13976502 10 3200 1893 +1307 whale_0x8ebd 0xb67eaa5e... BloXroute Max Profit
13976826 0 3049 1743 +1306 p2porg 0x856b0004... Agnostic Gnosis
13975083 3 3094 1788 +1306 kiln 0xb67eaa5e... BloXroute Max Profit
13978169 1 3063 1758 +1305 p2porg 0x8db2a99d... Ultra Sound
13978429 0 3047 1743 +1304 coinbase 0x823e0146... BloXroute Max Profit
13973857 0 3047 1743 +1304 whale_0x8ebd 0xb67eaa5e... BloXroute Max Profit
13976378 5 3121 1818 +1303 p2porg 0x823e0146... Ultra Sound
13973779 9 3180 1878 +1302 p2porg 0xb26f9666... BloXroute Regulated
13977403 0 3041 1743 +1298 coinbase 0xb67eaa5e... BloXroute Regulated
13975853 6 3131 1833 +1298 whale_0x8ebd 0x853b0078... Aestus
13972287 6 3129 1833 +1296 whale_0x8ebd 0x88a53ec4... BloXroute Regulated
13975265 3 3083 1788 +1295 whale_0x8ebd 0xb26f9666... Titan Relay
13975509 5 3113 1818 +1295 whale_0x8ebd 0x8db2a99d... Ultra Sound
13974979 3 3082 1788 +1294 everstake 0xb67eaa5e... BloXroute Max Profit
13977242 0 3036 1743 +1293 whale_0x8ebd 0xb67eaa5e... BloXroute Regulated
13972987 0 3034 1743 +1291 0xa412c4b8... Ultra Sound
13972152 0 3034 1743 +1291 0xb67eaa5e... BloXroute Regulated
13975006 1 3049 1758 +1291 p2porg 0xb26f9666... BloXroute Max Profit
13975954 0 3033 1743 +1290 abyss_finance 0xb67eaa5e... BloXroute Max Profit
13973588 1 3048 1758 +1290 coinbase 0xb67eaa5e... BloXroute Regulated
13973658 0 3032 1743 +1289 kiln 0x88a53ec4... BloXroute Regulated
13975620 1 3047 1758 +1289 p2porg 0xb26f9666... BloXroute Max Profit
13973585 0 3031 1743 +1288 p2porg 0xb67eaa5e... BloXroute Regulated
13974029 2 3061 1773 +1288 kiln 0x823e0146... Ultra Sound
13977835 8 3151 1863 +1288 figment 0x8db2a99d... Ultra Sound
13973914 0 3029 1743 +1286 coinbase 0x88a53ec4... BloXroute Max Profit
13978074 0 3029 1743 +1286 coinbase 0x88857150... Ultra Sound
13973773 0 3029 1743 +1286 solo_stakers 0xba003e46... Flashbots
13974370 1 3044 1758 +1286 p2porg 0x855b00e6... BloXroute Max Profit
13973665 0 3028 1743 +1285 stader 0xb26f9666... Titan Relay
13972979 1 3041 1758 +1283 coinbase 0x8db2a99d... Flashbots
13977680 0 3025 1743 +1282 p2porg 0xb26f9666... BloXroute Max Profit
13975117 10 3174 1893 +1281 figment 0xb26f9666... Titan Relay
13973151 1 3036 1758 +1278 whale_0x8ebd Local Local
13976690 8 3140 1863 +1277 whale_0x8ebd 0x853b0078... Aestus
13974420 0 3019 1743 +1276 whale_0x8ebd 0xb26f9666... BloXroute Max Profit
13976868 1 3034 1758 +1276 figment 0x8527d16c... Ultra Sound
13972259 5 3094 1818 +1276 bitstamp 0x8527d16c... Ultra Sound
13974719 6 3109 1833 +1276 kiln 0xb67eaa5e... BloXroute Regulated
Total anomalies: 324

Anomalies by relay

Which relays produce the most propagation anomalies?

Show code
if n_anomalies > 0:
    # Count anomalies by relay
    relay_counts = df_outliers["relay"].value_counts().reset_index()
    relay_counts.columns = ["relay", "anomaly_count"]
    
    # Get total blocks per relay for context
    df_anomaly["relay"] = df_anomaly["winning_relays"].apply(lambda x: x[0] if len(x) > 0 else "Local")
    total_by_relay = df_anomaly.groupby("relay").size().reset_index(name="total_blocks")
    
    relay_counts = relay_counts.merge(total_by_relay, on="relay")
    relay_counts["anomaly_rate"] = relay_counts["anomaly_count"] / relay_counts["total_blocks"] * 100
    relay_counts = relay_counts.sort_values("anomaly_rate", ascending=True)
    
    fig = go.Figure()
    
    fig.add_trace(go.Bar(
        y=relay_counts["relay"],
        x=relay_counts["anomaly_count"],
        orientation="h",
        marker_color="#e74c3c",
        text=relay_counts.apply(lambda r: f"{r['anomaly_count']}/{r['total_blocks']} ({r['anomaly_rate']:.1f}%)", axis=1),
        textposition="outside",
        hovertemplate="<b>%{y}</b><br>Anomalies: %{x}<br>Total blocks: %{customdata[0]:,}<br>Rate: %{customdata[1]:.1f}%<extra></extra>",
        customdata=np.column_stack([relay_counts["total_blocks"], relay_counts["anomaly_rate"]]),
    ))
    
    fig.update_layout(
        margin=dict(l=150, r=80, t=30, b=60),
        xaxis=dict(title="Number of anomalies"),
        yaxis=dict(title=""),
        height=350,
    )
    fig.show(config={"responsive": True})

Anomalies by proposer entity

Which proposer entities produce the most propagation anomalies?

Show code
if n_anomalies > 0:
    # Count anomalies by proposer entity
    proposer_counts = df_outliers["proposer"].value_counts().reset_index()
    proposer_counts.columns = ["proposer", "anomaly_count"]
    
    # Get total blocks per proposer for context
    df_anomaly["proposer"] = df_anomaly["proposer_entity"].fillna("Unknown")
    total_by_proposer = df_anomaly.groupby("proposer").size().reset_index(name="total_blocks")
    
    proposer_counts = proposer_counts.merge(total_by_proposer, on="proposer")
    proposer_counts["anomaly_rate"] = proposer_counts["anomaly_count"] / proposer_counts["total_blocks"] * 100
    
    # Show top 15 by anomaly count
    proposer_counts = proposer_counts.nlargest(15, "anomaly_rate").sort_values("anomaly_rate", ascending=True)
    
    fig = go.Figure()
    
    fig.add_trace(go.Bar(
        y=proposer_counts["proposer"],
        x=proposer_counts["anomaly_count"],
        orientation="h",
        marker_color="#e74c3c",
        text=proposer_counts.apply(lambda r: f"{r['anomaly_count']}/{r['total_blocks']} ({r['anomaly_rate']:.1f}%)", axis=1),
        textposition="outside",
        hovertemplate="<b>%{y}</b><br>Anomalies: %{x}<br>Total blocks: %{customdata[0]:,}<br>Rate: %{customdata[1]:.1f}%<extra></extra>",
        customdata=np.column_stack([proposer_counts["total_blocks"], proposer_counts["anomaly_rate"]]),
    ))
    
    fig.update_layout(
        margin=dict(l=150, r=80, t=30, b=60),
        xaxis=dict(title="Number of anomalies"),
        yaxis=dict(title=""),
        height=450,
    )
    fig.show(config={"responsive": True})

Anomalies by builder

Which builders produce the most propagation anomalies? (Truncated pubkeys shown for MEV blocks)

Show code
if n_anomalies > 0:
    # Count anomalies by builder
    builder_counts = df_outliers["builder"].value_counts().reset_index()
    builder_counts.columns = ["builder", "anomaly_count"]
    
    # Get total blocks per builder for context
    df_anomaly["builder"] = df_anomaly["winning_builder"].apply(
        lambda x: f"{x[:10]}..." if pd.notna(x) and x else "Local"
    )
    total_by_builder = df_anomaly.groupby("builder").size().reset_index(name="total_blocks")
    
    builder_counts = builder_counts.merge(total_by_builder, on="builder")
    builder_counts["anomaly_rate"] = builder_counts["anomaly_count"] / builder_counts["total_blocks"] * 100
    
    # Show top 15 by anomaly count
    builder_counts = builder_counts.nlargest(15, "anomaly_rate").sort_values("anomaly_rate", ascending=True)
    
    fig = go.Figure()
    
    fig.add_trace(go.Bar(
        y=builder_counts["builder"],
        x=builder_counts["anomaly_count"],
        orientation="h",
        marker_color="#e74c3c",
        text=builder_counts.apply(lambda r: f"{r['anomaly_count']}/{r['total_blocks']} ({r['anomaly_rate']:.1f}%)", axis=1),
        textposition="outside",
        hovertemplate="<b>%{y}</b><br>Anomalies: %{x}<br>Total blocks: %{customdata[0]:,}<br>Rate: %{customdata[1]:.1f}%<extra></extra>",
        customdata=np.column_stack([builder_counts["total_blocks"], builder_counts["anomaly_rate"]]),
    ))
    
    fig.update_layout(
        margin=dict(l=150, r=80, t=30, b=60),
        xaxis=dict(title="Number of anomalies"),
        yaxis=dict(title=""),
        height=450,
    )
    fig.show(config={"responsive": True})

Anomalies by blob count

Are anomalies more common at certain blob counts?

Show code
if n_anomalies > 0:
    # Count anomalies by blob count
    blob_anomalies = df_outliers.groupby("blob_count").size().reset_index(name="anomaly_count")
    blob_total = df_anomaly.groupby("blob_count").size().reset_index(name="total_blocks")
    
    blob_stats = blob_total.merge(blob_anomalies, on="blob_count", how="left").fillna(0)
    blob_stats["anomaly_count"] = blob_stats["anomaly_count"].astype(int)
    blob_stats["anomaly_rate"] = blob_stats["anomaly_count"] / blob_stats["total_blocks"] * 100
    
    fig = go.Figure()
    
    fig.add_trace(go.Bar(
        x=blob_stats["blob_count"],
        y=blob_stats["anomaly_count"],
        marker_color="#e74c3c",
        hovertemplate="<b>%{x} blobs</b><br>Anomalies: %{y}<br>Total: %{customdata[0]:,}<br>Rate: %{customdata[1]:.1f}%<extra></extra>",
        customdata=np.column_stack([blob_stats["total_blocks"], blob_stats["anomaly_rate"]]),
    ))
    
    fig.update_layout(
        margin=dict(l=60, r=30, t=30, b=60),
        xaxis=dict(title="Blob count", dtick=1),
        yaxis=dict(title="Number of anomalies"),
        height=350,
    )
    fig.show(config={"responsive": True})