Pith Number

pith:SEZG5CNP

pith:2025:SEZG5CNPF5OQYX2FGGZ4LXRPOQ

not attested not anchored not stored refs pending

Structural Causal Models for Extremes: an Approach Based on Exponent Measures

Fei Fang, Shuyang Bai, Tiandong Wang

Extremal structural causal models based on exponent measures identify causal directions via inherent asymmetry.

arxiv:2508.00223 v4 · 2025-08-01 · math.ST · stat.ME · stat.TH

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\pithnumber{SEZG5CNPF5OQYX2FGGZ4LXRPOQ}

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Record completeness

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3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

This formulation encompasses all possible laws of directed graphical models under the recently introduced notion of extremal conditional independence. We also identify an inherent asymmetry in eSCMs under natural assumptions, enabling the identifiability of causal directions.

C2weakest assumption

The paper assumes natural conditions under which eSCMs exhibit an inherent asymmetry that permits identifiability of causal directions (abstract, final paragraph).

C3one line summary

Introduces eSCMs based on exponent measures that encompass all directed graphical models under extremal conditional independence and use inherent asymmetry for causal direction identifiability.

Formal links

2 machine-checked theorem links

Cited by

2 papers in Pith

Extrapolation in Statistical Learning with Extreme Value Theory

Causal Discovery in Multivariate Extremes via Tail Asymmetry

Receipt and verification

First computed	2026-05-27T01:04:49.635349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91326e89af2f5d0c5f4531b3c5de2f743a5c0bbd380ab11df1baef04fc7e25c9

Aliases

arxiv: 2508.00223 · arxiv_version: 2508.00223v4 · doi: 10.48550/arxiv.2508.00223 · pith_short_12: SEZG5CNPF5OQ · pith_short_16: SEZG5CNPF5OQYX2F · pith_short_8: SEZG5CNP

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SEZG5CNPF5OQYX2FGGZ4LXRPOQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 91326e89af2f5d0c5f4531b3c5de2f743a5c0bbd380ab11df1baef04fc7e25c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20c9d08fe8331e4fed24c340473fbb7a55e6ba4737c685cde8a57a80778ef2c6",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-08-01T00:01:23Z",
    "title_canon_sha256": "06d807101fbf40c0b948793cf645c117d625276ec2b1060682af57f54e2decd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.00223",
    "kind": "arxiv",
    "version": 4
  }
}