pith. sign in
Pith Number

pith:YTIIJYYL

pith:2011:YTIIJYYLWX7POASBEVG6O4HHRX
not attested not anchored not stored refs pending

Joint probability distributions and fluctuation theorems

A. B. Kolton, D. Dom\'inguez, Reinaldo Garc\'ia-Garc\'ia, Vivien Lecomte

arxiv:1111.5369 v3 · 2011-11-22 · cond-mat.stat-mech · math-ph · math.MP · nlin.CD

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YTIIJYYLWX7POASBEVG6O4HHRX}

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 2026-05-18T04:02:39.263305Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c4d084e30bb5fef70241254de770e78de23c11fd43a3ff44185d67621b12e993

Aliases

arxiv: 1111.5369 · arxiv_version: 1111.5369v3 · doi: 10.48550/arxiv.1111.5369 · pith_short_12: YTIIJYYLWX7P · pith_short_16: YTIIJYYLWX7POASB · pith_short_8: YTIIJYYL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YTIIJYYLWX7POASBEVG6O4HHRX \
  | 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: c4d084e30bb5fef70241254de770e78de23c11fd43a3ff44185d67621b12e993
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4dba6d39a088ed2b99d7427458faba9c2987af8687137638fd5c5ef8384fcf74",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-11-22T23:33:05Z",
    "title_canon_sha256": "e222b38da93a1617912146bd16ddc4acb0f2bde83dbdfff41f766d086ccf767e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5369",
    "kind": "arxiv",
    "version": 3
  }
}