Pith Number

pith:NFWJTJAI

pith:1997:NFWJTJAI26J2IWNAGEA4VID5ZC

not attested not anchored not stored refs pending

Large-q series expansion for the ground state degeneracy of the q-state Potts antiferromagnet on the (3.12^2) lattice

Shan-Ho Tsai (Institute for Theoretical Physics, State University of New York at Stony Brook)

arxiv:cond-mat/9712253 v1 · 1997-12-20 · cond-mat.stat-mech · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NFWJTJAI26J2IWNAGEA4VID5ZC}

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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.

Receipt and verification

First computed	2026-07-04T16:04:34.456864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

696c99a408d793a459a03101caa07dc88bfc2944c444a0e87558ddf4d338cdca

Aliases

arxiv: cond-mat/9712253 · arxiv_version: cond-mat/9712253v1 · doi: 10.48550/arxiv.cond-mat/9712253 · pith_short_12: NFWJTJAI26J2 · pith_short_16: NFWJTJAI26J2IWNA · pith_short_8: NFWJTJAI

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/NFWJTJAI26J2IWNAGEA4VID5ZC \
  | 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: 696c99a408d793a459a03101caa07dc88bfc2944c444a0e87558ddf4d338cdca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fb7f99e98b4e3042a178bc8bebe35891a165270f2b3e6b0007ae13dd035a9cf",
    "cross_cats_sorted": [
      "hep-lat"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1997-12-20T02:22:28Z",
    "title_canon_sha256": "1a0b30ae2a0eccc0ebaa4d0dd30316de89b7f2cfbee4bdc84ea06917252b0e13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9712253",
    "kind": "arxiv",
    "version": 1
  }
}