Pith Number

pith:5PLB3OUM

pith:2010:5PLB3OUMBW7F434VBX3KPELKYG

not attested not anchored not stored refs pending

Similarity between quantum mechanics and thermodynamics: Entropy, temperature, and Carnot cycle

2, (2) ISMANS, 3), (3) Inspire Institute Inc., France, Japan, Le Mans, Shinji Okuyama (1) ((1) Mie University, Sumiyoshi Abe (1, USA), Virginia

arxiv:1012.5581 v2 · 2010-12-27 · cond-mat.stat-mech · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PLB3OUMBW7F434VBX3KPELKYG}

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	2026-05-18T02:04:17.512618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebd61dba8c0dbe5e6f950df6a7916ac1aa93c4ffed4f0dcf28743def65c0e9bb

Aliases

arxiv: 1012.5581 · arxiv_version: 1012.5581v2 · doi: 10.48550/arxiv.1012.5581 · pith_short_12: 5PLB3OUMBW7F · pith_short_16: 5PLB3OUMBW7F434V · pith_short_8: 5PLB3OUM

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/5PLB3OUMBW7F434VBX3KPELKYG \
  | 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: ebd61dba8c0dbe5e6f950df6a7916ac1aa93c4ffed4f0dcf28743def65c0e9bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8167262911d074adfd12d5dc7739810d7cd1cbcf986610a895d3391e28619343",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-12-27T09:41:46Z",
    "title_canon_sha256": "6aa993104aa417354d3d65a695ca1128999b42227b58fc95b24f1abd7ccbfd46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5581",
    "kind": "arxiv",
    "version": 2
  }
}