Pith Number

pith:PQF2HE2Z

pith:2012:PQF2HE2ZHJ35TVGLXMB74GFWEK

not attested not anchored not stored refs pending

Thermodynamic Tree: The Space of Admissible Paths

A. N. Gorban

arxiv:1201.6315 v3 · 2012-01-30 · cond-mat.stat-mech · physics.chem-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQF2HE2ZHJ35TVGLXMB74GFWEK}

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	2026-05-18T03:33:59.838466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c0ba393593a77d9d4cbbb03fe18b6229229035e44a07dcd532413baec14c5ad

Aliases

arxiv: 1201.6315 · arxiv_version: 1201.6315v3 · doi: 10.48550/arxiv.1201.6315 · pith_short_12: PQF2HE2ZHJ35 · pith_short_16: PQF2HE2ZHJ35TVGL · pith_short_8: PQF2HE2Z

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/PQF2HE2ZHJ35TVGLXMB74GFWEK \
  | 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: 7c0ba393593a77d9d4cbbb03fe18b6229229035e44a07dcd532413baec14c5ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b47d4d1f2d123cf25e7820da6cd09351417f74197947da55a62ebac119345f55",
    "cross_cats_sorted": [
      "physics.chem-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-01-30T18:30:03Z",
    "title_canon_sha256": "86451e3c64f3b707ae8278480ba22a7a9b8c80e8ea4298bbd1e72eb64b4c645d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6315",
    "kind": "arxiv",
    "version": 3
  }
}