Pith Number

pith:5TTAK4KC

pith:2023:5TTAK4KCHKPCVKPELDKP24H6HO

not attested not anchored not stored refs pending

Likelihood Correspondence of Toric Statistical Models

David Barnhill, John Cobb, Matthew Faust

arxiv:2312.08501 v3 · 2023-12-13 · math.ST · math.AC · math.AG · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5TTAK4KCHKPCVKPELDKP24H6HO}

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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

On the Jacobian syzygies for generic toric models

Receipt and verification

First computed	2026-07-05T09:36:08.851999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ece60571423a9e2aa9e458d4fd70fe3b94c09950d6d542cf39a251cff4a08859

Aliases

arxiv: 2312.08501 · arxiv_version: 2312.08501v3 · doi: 10.48550/arxiv.2312.08501 · pith_short_12: 5TTAK4KCHKPC · pith_short_16: 5TTAK4KCHKPCVKPE · pith_short_8: 5TTAK4KC

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/5TTAK4KCHKPCVKPELDKP24H6HO \
  | 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: ece60571423a9e2aa9e458d4fd70fe3b94c09950d6d542cf39a251cff4a08859

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4aab342318c8225cfb00882792b71f43b5ad04cdaa763f569b7ec75ef1545256",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2023-12-13T20:27:40Z",
    "title_canon_sha256": "8585a36c89d74c98b615dbddc93c4e9ac9392ea142efaa5dc18b924b6a60ddb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.08501",
    "kind": "arxiv",
    "version": 3
  }
}