Pith Number
pith:YTIIJYYL
pith:2011:YTIIJYYLWX7POASBEVG6O4HHRX
not attested
not anchored
not stored
refs pending
Joint probability distributions and fluctuation theorems
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
· sign in to
claim
4
Citations
5
Replications
✓
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
· · · · ·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
}
}