Pith Number

pith:YJPBFXIY

pith:2010:YJPBFXIYCAYQL2RA77GLA6GLTW

not attested not anchored not stored refs pending

Realm of Validity of the Crooks Relation

Daniel ben-Avraham, Michel Pleimling, Sven Dorosz

arxiv:1012.5308 v2 · 2010-12-23 · 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{YJPBFXIYCAYQL2RA77GLA6GLTW}

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	2026-05-18T02:04:17.885877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c25e12dd18103105ea20ffccb078cb9dadfef232569dc7eb3c02ce54b0f8bcef

Aliases

arxiv: 1012.5308 · arxiv_version: 1012.5308v2 · doi: 10.48550/arxiv.1012.5308 · pith_short_12: YJPBFXIYCAYQ · pith_short_16: YJPBFXIYCAYQL2RA · pith_short_8: YJPBFXIY

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/YJPBFXIYCAYQL2RA77GLA6GLTW \
  | 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: c25e12dd18103105ea20ffccb078cb9dadfef232569dc7eb3c02ce54b0f8bcef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "472de17d62bdebea8b99e46c1afc6e743a06e39c5b7f3ebeb9a90399da671fc0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-12-23T21:37:09Z",
    "title_canon_sha256": "4bb8d521137b38c00996507dcec1ffa9e1a16aeb7f1760cd82bdec402199591e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5308",
    "kind": "arxiv",
    "version": 2
  }
}