Pith Number

pith:QCUF2DOK

pith:2023:QCUF2DOK4LOLR7RUSKBDU7OJCB

not attested not anchored not stored refs pending

On Learning Necessary and Sufficient Causal Graphs

Hengrui Cai, Michael Jordan, Rui Song, Yixin Wang

arxiv:2301.12389 v2 · 2023-01-29 · cs.LG · cs.AI · stat.AP · stat.ME · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QCUF2DOK4LOLR7RUSKBDU7OJCB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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.

Cited by

1 paper in Pith

Time-Varying Home Field Advantage in Football: Learning from a Non-Stationary Causal Process

Receipt and verification

First computed	2026-07-05T07:07:36.470107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80a85d0dcae2dcb8fe3492823a7dc91075a3a1c91d74ee8885e812a66c5fd613

Aliases

arxiv: 2301.12389 · arxiv_version: 2301.12389v2 · doi: 10.48550/arxiv.2301.12389 · pith_short_12: QCUF2DOK4LOL · pith_short_16: QCUF2DOK4LOLR7RU · pith_short_8: QCUF2DOK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QCUF2DOK4LOLR7RUSKBDU7OJCB \
  | 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: 80a85d0dcae2dcb8fe3492823a7dc91075a3a1c91d74ee8885e812a66c5fd613

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "269192459d313983bd365db5ec30e3d7657cd7362906c903157c012ffe0f97e2",
    "cross_cats_sorted": [
      "cs.AI",
      "stat.AP",
      "stat.ME",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-01-29T08:19:15Z",
    "title_canon_sha256": "73f299cfb63b983f8ab87ca5b1195128a4bb2eee7553329b0ebc4e0bc48a77de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.12389",
    "kind": "arxiv",
    "version": 2
  }
}