Pith Number

pith:REGJ5HG2

pith:2015:REGJ5HG2JAONWNSAU62XU2Y4LH

not attested not anchored not stored refs pending

The Equivalence of Dissipation from Gibbs' Entropy Production with Phase-Volume Loss in Ergodic Heat-Conducting Oscillators

Carol Griswold Hoover, Julien Clinton Sprott, Puneet Kumar Patra, William Graham Hoover

arxiv:1511.03201 v3 · 2015-11-10 · cond-mat.stat-mech · nlin.CD · physics.class-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{REGJ5HG2JAONWNSAU62XU2Y4LH}

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	2026-05-18T01:12:07.528274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

890c9e9cda481cdb3640a7b57a6b1c59ec978265b5f6b77a2bc2d06a7da12dc4

Aliases

arxiv: 1511.03201 · arxiv_version: 1511.03201v3 · doi: 10.48550/arxiv.1511.03201 · pith_short_12: REGJ5HG2JAON · pith_short_16: REGJ5HG2JAONWNSA · pith_short_8: REGJ5HG2

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/REGJ5HG2JAONWNSAU62XU2Y4LH \
  | 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: 890c9e9cda481cdb3640a7b57a6b1c59ec978265b5f6b77a2bc2d06a7da12dc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4d6437aa3ffc1503023bf35a38d8e54f0a15078eb2fd31e7a61ad8d3409aaa4",
    "cross_cats_sorted": [
      "nlin.CD",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-11-10T17:55:11Z",
    "title_canon_sha256": "3d8b71f5f8a6b74764ae6f1591b784cf9f0eacb5b13a5a73d976c83db72891b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03201",
    "kind": "arxiv",
    "version": 3
  }
}