Pith Number

pith:UNYJCRCS

pith:2012:UNYJCRCS2YDJFYS32COLI3NBOI

not attested not anchored not stored refs pending

Time reversibility and nonequilibrium thermodynamics of second-order stochastic processes

Hao Ge

arxiv:1209.3081 v3 · 2012-09-14 · 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{UNYJCRCS2YDJFYS32COLI3NBOI}

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	2026-05-18T01:29:13.607289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a370914452d60692e25bd09cb46da17210a7b836b096128c88765419341bcb7e

Aliases

arxiv: 1209.3081 · arxiv_version: 1209.3081v3 · doi: 10.48550/arxiv.1209.3081 · pith_short_12: UNYJCRCS2YDJ · pith_short_16: UNYJCRCS2YDJFYS3 · pith_short_8: UNYJCRCS

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/UNYJCRCS2YDJFYS32COLI3NBOI \
  | 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: a370914452d60692e25bd09cb46da17210a7b836b096128c88765419341bcb7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1160a3bab336e0abd2ccb97709611b01cbb5be6198fc9ab02085d5661bbffe21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-09-14T03:03:06Z",
    "title_canon_sha256": "3b0d06583a9a2ad2838ec1b28ff232d3155c4e1d7ab6afc621583e340839da0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3081",
    "kind": "arxiv",
    "version": 3
  }
}