Pith Number

pith:JJ3ZRZRS

pith:2025:JJ3ZRZRSDCK7JGDI4SHY6NB3LI

not attested not anchored not stored refs pending

A Multi-Body Dobrushin-Sokal Criterion -- Part I

Jan Philipp Neumann

arxiv:2508.12078 v1 · 2025-08-16 · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJ3ZRZRSDCK7JGDI4SHY6NB3LI}

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

A Multi-Body Dobrushin-Sokal Criterion -- Part II

Receipt and verification

First computed	2026-07-05T11:54:59.833035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a7798e6321895f49868e48f8f343b5a21aac9849bdf833c0cd70bf99862a46c

Aliases

arxiv: 2508.12078 · arxiv_version: 2508.12078v1 · doi: 10.48550/arxiv.2508.12078 · pith_short_12: JJ3ZRZRSDCK7 · pith_short_16: JJ3ZRZRSDCK7JGDI · pith_short_8: JJ3ZRZRS

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/JJ3ZRZRSDCK7JGDI4SHY6NB3LI \
  | 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: 4a7798e6321895f49868e48f8f343b5a21aac9849bdf833c0cd70bf99862a46c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a96759dba784e368b5503dc1367095b392b31798058df519b6c37c4909263f5b",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-08-16T15:28:09Z",
    "title_canon_sha256": "8fdcbfaa93ddac3b5e66b409e560e0bca2ee45f7a5ad2b14eed351225e13c73f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.12078",
    "kind": "arxiv",
    "version": 1
  }
}