Pith Number

pith:JBTA5VFZ

pith:2011:JBTA5VFZGQKEUDB75IUMECRADH

not attested not anchored not stored refs pending

The second law, maximum entropy production and Liouville's theorem

Amos Maritan, Roderick C Dewar

arxiv:1107.1088 v1 · 2011-07-06 · 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{JBTA5VFZGQKEUDB75IUMECRADH}

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.

Cited by

1 paper in Pith

Combinatorial Approach to the Second Law

Receipt and verification

First computed	2026-05-18T04:18:45.640174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48660ed4b934144a0c3fea28c20a2019d87370d89d8174e286b005aa6afdf9b5

Aliases

arxiv: 1107.1088 · arxiv_version: 1107.1088v1 · doi: 10.48550/arxiv.1107.1088 · pith_short_12: JBTA5VFZGQKE · pith_short_16: JBTA5VFZGQKEUDB7 · pith_short_8: JBTA5VFZ

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/JBTA5VFZGQKEUDB75IUMECRADH \
  | 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: 48660ed4b934144a0c3fea28c20a2019d87370d89d8174e286b005aa6afdf9b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef2e9734842d413e7db343321142101f9115d61ef99aaaf0b45661447c240c29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-07-06T10:46:24Z",
    "title_canon_sha256": "bf46fa7e39460302806b8b9aa6c66d9c39c6dc0df10d2c4e6210efd0ff102a49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1088",
    "kind": "arxiv",
    "version": 1
  }
}