Pith Number

pith:TCHMGFWE

pith:2014:TCHMGFWEFS4II3PVYZI7LTWAIG

not attested not anchored not stored refs pending

A definition of thermodynamic entropy valid for non-equilibrium states and few-particle systems

Enzo Zanchini, Gian Paolo Beretta

arxiv:1411.5395 v1 · 2014-11-19 · math-ph · 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{TCHMGFWEFS4II3PVYZI7LTWAIG}

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	2026-05-18T02:33:24.748001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

988ec316c42cb8846df5c651f5cec0418e106c70a7877c803768a42a2aab9ff2

Aliases

arxiv: 1411.5395 · arxiv_version: 1411.5395v1 · doi: 10.48550/arxiv.1411.5395 · pith_short_12: TCHMGFWEFS4I · pith_short_16: TCHMGFWEFS4II3PV · pith_short_8: TCHMGFWE

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/TCHMGFWEFS4II3PVYZI7LTWAIG \
  | 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: 988ec316c42cb8846df5c651f5cec0418e106c70a7877c803768a42a2aab9ff2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51e3ed5cc5e158b4df53f2af7485b636e1fc1f4429192027d9b2e87ad136ba9d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-11-19T22:04:44Z",
    "title_canon_sha256": "586bfd791efeda63acebbf2fc31545466577bc08d7d2a9d72323f35b9f2e2f40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5395",
    "kind": "arxiv",
    "version": 1
  }
}