Pith Number

pith:4DMW2QIP

pith:2002:4DMW2QIPDXTP5RKVNBVIVNY5T3

not attested not anchored not stored refs pending

Geometric Foundation of Thermo-Statistics, Phase Transitions, Second Law of Thermodynamics, but without Thermodynamic Limit

D.H.E.Gross

arxiv:cond-mat/0201235 v1 · 2002-01-15 · cond-mat.stat-mech · math-ph · math.MP · nucl-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{4DMW2QIPDXTP5RKVNBVIVNY5T3}

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	2026-05-18T00:37:17.196415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0d96d410f1de6fec555686a8ab71d9ed81768154ef398298bc0dc74fc4359d2

Aliases

arxiv: cond-mat/0201235 · arxiv_version: cond-mat/0201235v1 · doi: 10.48550/arxiv.cond-mat/0201235 · pith_short_12: 4DMW2QIPDXTP · pith_short_16: 4DMW2QIPDXTP5RKV · pith_short_8: 4DMW2QIP

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/4DMW2QIPDXTP5RKVNBVIVNY5T3 \
  | 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: e0d96d410f1de6fec555686a8ab71d9ed81768154ef398298bc0dc74fc4359d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "504e57503f6e283f3736901538e9824f78a245700b6cd2a3d5721bb93368eff2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nucl-th"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2002-01-15T10:09:49Z",
    "title_canon_sha256": "b68a3d27980326a21f335c6f10dff2d8a2645a0bb2a51e6792c298e65b410eaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0201235",
    "kind": "arxiv",
    "version": 1
  }
}