Pith Number

pith:J2FNXAXB

pith:1993:J2FNXAXBHURVVTDEP5LD66Z27I

not attested not anchored not stored refs pending

The free energy of the Potts model: from the continuous to the first-order transition region

A. Morel, R. Lacaze, T. Bhattacharya

arxiv:hep-th/9303075 v1 · 1993-03-12 · hep-th · cond-mat · 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{J2FNXAXBHURVVTDEP5LD66Z27I}

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	2026-05-18T04:33:04.855943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e8adb82e13d235acc647f563f7b3afa22ad6404c7ae8105601be74aa8a93f5e

Aliases

arxiv: hep-th/9303075 · arxiv_version: hep-th/9303075v1 · doi: 10.48550/arxiv.hep-th/9303075 · pith_short_12: J2FNXAXBHURV · pith_short_16: J2FNXAXBHURVVTDE · pith_short_8: J2FNXAXB

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/J2FNXAXBHURVVTDEP5LD66Z27I \
  | 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: 4e8adb82e13d235acc647f563f7b3afa22ad6404c7ae8105601be74aa8a93f5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96824c804d65b44ba48b0194d00fbf43de5497e2fd009749a3b0d8e673eabe9f",
    "cross_cats_sorted": [
      "cond-mat",
      "hep-lat"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-03-12T08:52:10Z",
    "title_canon_sha256": "9cc1db4b8ea2958b93383be39d0c94c558c9335e2bf2d5901beebc2b5806956e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9303075",
    "kind": "arxiv",
    "version": 1
  }
}