Pith Number

pith:Z4UKD23Q

pith:2015:Z4UKD23QHMSX7J6ARK4AVQJZKI

not attested not anchored not stored refs pending

Generalized Mass Action Law and Thermodynamics of Nonlinear Markov Processes

A.N. Gorban, V.N. Kolokoltsov

arxiv:1504.08317 v1 · 2015-04-30 · physics.chem-ph · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4UKD23QHMSX7J6ARK4AVQJZKI}

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	2026-05-18T01:32:08.038263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf28a1eb703b257fa7c08ab80ac1395223ee0a55507b181b9f0777399d905095

Aliases

arxiv: 1504.08317 · arxiv_version: 1504.08317v1 · doi: 10.48550/arxiv.1504.08317 · pith_short_12: Z4UKD23QHMSX · pith_short_16: Z4UKD23QHMSX7J6A · pith_short_8: Z4UKD23Q

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/Z4UKD23QHMSX7J6ARK4AVQJZKI \
  | 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: cf28a1eb703b257fa7c08ab80ac1395223ee0a55507b181b9f0777399d905095

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c79848dc0f496ec7d04ba716a95dcd9723ec90a2d98125778f9dbe655617a8d8",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2015-04-30T17:49:28Z",
    "title_canon_sha256": "2d64211b56f8cf34e524096f24ccf37b1693aab94fb7fe25805bfa5e1a3996ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08317",
    "kind": "arxiv",
    "version": 1
  }
}