Pith Number

pith:Z7XPWHZP

pith:2012:Z7XPWHZPSI6NROGTWWALV5WBEB

not attested not anchored not stored refs pending

Entropic anomaly and maximal efficiency of microscopic heat engines

Antonio Celani, Stefano Bo

arxiv:1212.1608 v1 · 2012-12-07 · 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{Z7XPWHZPSI6NROGTWWALV5WBEB}

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	2026-05-18T01:52:46.510085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfeefb1f2f923cd8b8d3b580baf6c120425a74fe3694ae055eb989bc954d13f0

Aliases

arxiv: 1212.1608 · arxiv_version: 1212.1608v1 · doi: 10.48550/arxiv.1212.1608 · pith_short_12: Z7XPWHZPSI6N · pith_short_16: Z7XPWHZPSI6NROGT · pith_short_8: Z7XPWHZP

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/Z7XPWHZPSI6NROGTWWALV5WBEB \
  | 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: cfeefb1f2f923cd8b8d3b580baf6c120425a74fe3694ae055eb989bc954d13f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfd35b3b466d415b5171878b946330d05c28cddf683894436303fee7b710c1ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-12-07T13:48:06Z",
    "title_canon_sha256": "874bb851f0a82830ec14dfbdb37571448159b20be03387df491b41ed0f3d98e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1608",
    "kind": "arxiv",
    "version": 1
  }
}