Pith Number

pith:OQDEBW2E

pith:2014:OQDEBW2EQZ4JMKQNJVN2QGAC5I

not attested not anchored not stored refs pending

Recent Progress in the Definition of Thermodynamic Entropy

Enzo Zanchini, Gian Paolo Beretta

arxiv:1403.5772 v1 · 2014-03-23 · math-ph · cond-mat.stat-mech · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OQDEBW2EQZ4JMKQNJVN2QGAC5I}

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	2026-05-18T02:55:48.905286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

740640db448678962a0d4d5ba81802ea04f9271623e1b5a605169f0b01d8a2a6

Aliases

arxiv: 1403.5772 · arxiv_version: 1403.5772v1 · doi: 10.48550/arxiv.1403.5772 · pith_short_12: OQDEBW2EQZ4J · pith_short_16: OQDEBW2EQZ4JMKQN · pith_short_8: OQDEBW2E

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/OQDEBW2EQZ4JMKQNJVN2QGAC5I \
  | 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: 740640db448678962a0d4d5ba81802ea04f9271623e1b5a605169f0b01d8a2a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0db234277c1e7b2cb34f818b952b6c0e337e2d4aed45cfb358201cfcb592315",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-03-23T16:36:01Z",
    "title_canon_sha256": "e40d7992b0e0ec8fb36895dcc166e03e8ced6631f468871f5bf359064c2a45e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5772",
    "kind": "arxiv",
    "version": 1
  }
}