Pith Number

pith:SNB55ORG

pith:2013:SNB55ORGF7S6SXY6DV3CI547UT

not attested not anchored not stored refs pending

Convergence to Gibbs equilibrium - unveiling the mystery

A. A. Lykov, V. A. Malyshev

arxiv:1302.4832 v2 · 2013-02-20 · 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{SNB55ORGF7S6SXY6DV3CI547UT}

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	2026-05-18T01:00:40.906777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9343deba262fe5e95f1e1d7624779fa4eb00b99af129aaf8c63af4c006b3a71a

Aliases

arxiv: 1302.4832 · arxiv_version: 1302.4832v2 · doi: 10.48550/arxiv.1302.4832 · pith_short_12: SNB55ORGF7S6 · pith_short_16: SNB55ORGF7S6SXY6 · pith_short_8: SNB55ORG

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/SNB55ORGF7S6SXY6DV3CI547UT \
  | 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: 9343deba262fe5e95f1e1d7624779fa4eb00b99af129aaf8c63af4c006b3a71a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7754b8387b17acafb081acdee10bf7e10659601b729b57cf1d056b665c2d56ff",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-02-20T08:31:51Z",
    "title_canon_sha256": "57f84e48c62ba3207c770d20c78659927c3a270cf78542251e408532358648b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4832",
    "kind": "arxiv",
    "version": 2
  }
}