Pith Number

pith:VPOCCC7O

pith:2000:VPOCCC7O2W2TJEANWSEFFBRAD7

not attested not anchored not stored refs pending

High Temperature Expansion for a Chain Model

M. T. Thomaz, Onofre Rojas, S. M. de Souza

arxiv:hep-ph/0012368 v2 · 2000-12-29 · hep-ph · cond-mat.stat-mech · hep-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{VPOCCC7O2W2TJEANWSEFFBRAD7}

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	2026-05-18T01:06:15.154848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abdc210beed5b534900db4885286201ff5b17a3d9d43bdeaacaf1d851da35de8

Aliases

arxiv: hep-ph/0012368 · arxiv_version: hep-ph/0012368v2 · doi: 10.48550/arxiv.hep-ph/0012368 · pith_short_12: VPOCCC7O2W2T · pith_short_16: VPOCCC7O2W2TJEAN · pith_short_8: VPOCCC7O

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/VPOCCC7O2W2TJEANWSEFFBRAD7 \
  | 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: abdc210beed5b534900db4885286201ff5b17a3d9d43bdeaacaf1d851da35de8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "924c22f7a969111a54cd5aee8b538dc2ea33ea6814da1552e22e9db093a633a9",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-12-29T00:15:55Z",
    "title_canon_sha256": "93adc3d1f7afe50a3ef3a485b9174db8af58c1afd78c2a0056fe957016ea1c80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0012368",
    "kind": "arxiv",
    "version": 2
  }
}