Pith Number

pith:HZHNCEBA

pith:2023:HZHNCEBAXACHLLI2UFOJCAHTW6

not attested not anchored not stored refs pending

Completions to Discrete Probability Distributions in Log-linear Models

Cecilie Olesen Recke, May Cai, Thomas Yahl

arxiv:2312.15154 v2 · 2023-12-23 · math.ST · 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{HZHNCEBAXACHLLI2UFOJCAHTW6}

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.

Receipt and verification

First computed	2026-07-05T09:43:58.944883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e4ed11020b80475ad1aa15c9100f3b7a48e8644c35c5e59c04ee522fd812193

Aliases

arxiv: 2312.15154 · arxiv_version: 2312.15154v2 · doi: 10.48550/arxiv.2312.15154 · pith_short_12: HZHNCEBAXACH · pith_short_16: HZHNCEBAXACHLLI2 · pith_short_8: HZHNCEBA

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/HZHNCEBAXACHLLI2UFOJCAHTW6 \
  | 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: 3e4ed11020b80475ad1aa15c9100f3b7a48e8644c35c5e59c04ee522fd812193

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d07229e6104bed585ee03a5eedbe68319cb42edfc81842526faa581d3fbb676",
    "cross_cats_sorted": [
      "math.AG",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2023-12-23T03:47:09Z",
    "title_canon_sha256": "1f91f9ea86f67dd01a37e7ffafc664b01c924a4f9f8bf9d265cee3f7c82d9bc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.15154",
    "kind": "arxiv",
    "version": 2
  }
}