Pith Number

pith:D23RMVG7

pith:2010:D23RMVG7YIGJHX4NGIBEVJRGOU

not attested not anchored not stored refs pending

Microscopic expression of the second law of thermodynamics

Takaaki Monnai

arxiv:1005.3464 v4 · 2010-05-19 · physics.class-ph · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D23RMVG7YIGJHX4NGIBEVJRGOU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:09:35.154044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1eb71654dfc20c93df8d32024aa626752cb44b73edef6111cdf6383fea300464

Aliases

arxiv: 1005.3464 · arxiv_version: 1005.3464v4 · doi: 10.48550/arxiv.1005.3464 · pith_short_12: D23RMVG7YIGJ · pith_short_16: D23RMVG7YIGJHX4N · pith_short_8: D23RMVG7

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/D23RMVG7YIGJHX4NGIBEVJRGOU \
  | 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: 1eb71654dfc20c93df8d32024aa626752cb44b73edef6111cdf6383fea300464

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7692ff700505995c09d8d2f1082e5b6350914b3f94225cba457543db71360a9",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2010-05-19T15:00:34Z",
    "title_canon_sha256": "4844794f31ffe4c09051281d1bebb48ccc294c915bb2325c79dae915a23c9579"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3464",
    "kind": "arxiv",
    "version": 4
  }
}