Pith Number

pith:SA6PVSZB

pith:2007:SA6PVSZB6XBCY74JBFDM63M2AZ

not attested not anchored not stored refs pending

The Tasaki-Crooks quantum fluctuation theorem

Peter Hanggi, Peter Talkner

arxiv:0705.1252 v1 · 2007-05-09 · 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{SA6PVSZB6XBCY74JBFDM63M2AZ}

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	2026-07-04T15:02:20.228237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

903cfacb21f5c22c7f890946cf6d9a064f751628adf83f57c37c8fe2b4bd176e

Aliases

arxiv: 0705.1252 · arxiv_version: 0705.1252v1 · doi: 10.48550/arxiv.0705.1252 · pith_short_12: SA6PVSZB6XBC · pith_short_16: SA6PVSZB6XBCY74J · pith_short_8: SA6PVSZB

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/SA6PVSZB6XBCY74JBFDM63M2AZ \
  | 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: 903cfacb21f5c22c7f890946cf6d9a064f751628adf83f57c37c8fe2b4bd176e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3349d61ad543b1f315da2b88b2e459360aa5c3933d661844961c02cf653c3f3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2007-05-09T10:30:51Z",
    "title_canon_sha256": "97a83e68355f03b94a792ec7bdf5a05ad1b4db1759b70be4d2ff8fbe783a4487"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.1252",
    "kind": "arxiv",
    "version": 1
  }
}