Pith Number

pith:7OYRJZ7D

pith:2012:7OYRJZ7DEW5GGOPCPBGIZC5B7C

not attested not anchored not stored refs pending

Duration of local violations of the second law of thermodynamics along single trajectories in phase space

Daniel Dom\'inguez, Reinaldo Garc\'ia-Garc\'ia

arxiv:1212.0844 v5 · 2012-12-04 · 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{7OYRJZ7DEW5GGOPCPBGIZC5B7C}

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	2026-05-18T02:55:36.546771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbb114e7e325ba6339e2784c8c8ba1f882dac0d40266adf7eae5fd00df3db879

Aliases

arxiv: 1212.0844 · arxiv_version: 1212.0844v5 · doi: 10.48550/arxiv.1212.0844 · pith_short_12: 7OYRJZ7DEW5G · pith_short_16: 7OYRJZ7DEW5GGOPC · pith_short_8: 7OYRJZ7D

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/7OYRJZ7DEW5GGOPCPBGIZC5B7C \
  | 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: fbb114e7e325ba6339e2784c8c8ba1f882dac0d40266adf7eae5fd00df3db879

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da6a04979ee6e7a770221ba73b2bb22e58ee15b69beee503f149b2a5d26d6dae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-12-04T20:12:36Z",
    "title_canon_sha256": "93f6d27187c011a0017b2e704c94a5a1f3a5b7bdd8e8a4b9fef83b34a30e0b76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0844",
    "kind": "arxiv",
    "version": 5
  }
}