Pith Number

pith:BWHYO5RL

pith:2012:BWHYO5RLKDKQ33EPCO3JKDJEKL

not attested not anchored not stored refs pending

Fluctuation relations for equilibrium states with broken discrete symmetries

Pierre Gaspard

arxiv:1207.4409 v1 · 2012-07-18 · 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{BWHYO5RLKDKQ33EPCO3JKDJEKL}

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	2026-05-18T01:56:16.783635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d8f87762b50d50dec8f13b6950d2452e43704e17517dcb67941aa2a3abb1365

Aliases

arxiv: 1207.4409 · arxiv_version: 1207.4409v1 · doi: 10.48550/arxiv.1207.4409 · pith_short_12: BWHYO5RLKDKQ · pith_short_16: BWHYO5RLKDKQ33EP · pith_short_8: BWHYO5RL

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/BWHYO5RLKDKQ33EPCO3JKDJEKL \
  | 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: 0d8f87762b50d50dec8f13b6950d2452e43704e17517dcb67941aa2a3abb1365

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53a98002f388f21075496ca7049a0bab39cadb53d1ee4489eccd3188ff25d710",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-07-18T16:22:04Z",
    "title_canon_sha256": "6880bff8c652fa4671aef338f31ce9e5d5d55d8f5a38ac0f98ba201ff98749e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4409",
    "kind": "arxiv",
    "version": 1
  }
}