Pith Number

pith:TFJUWHWM

pith:2023:TFJUWHWMHAIKOAVIN6JAKG33YC

not attested not anchored not stored refs pending

The Gibbs paradox in classical thermodynamics is a consequence of the erroneous attribution of the entropy of an ideal gas to additive quantities

Volodymyr Ihnatovych

arxiv:2304.11132 v2 · 2023-04-19 · physics.hist-ph · cond-mat.stat-mech · 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{TFJUWHWMHAIKOAVIN6JAKG33YC}

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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

Work and entropy of mixing in isolated quantum systems

Receipt and verification

First computed	2026-07-05T06:29:20.837283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99534b1ecc3810a702a86f92051b7bc0be42ef3c9fc36ca78b7c6338af386106

Aliases

arxiv: 2304.11132 · arxiv_version: 2304.11132v2 · doi: 10.48550/arxiv.2304.11132 · pith_short_12: TFJUWHWMHAIK · pith_short_16: TFJUWHWMHAIKOAVI · pith_short_8: TFJUWHWM

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/TFJUWHWMHAIKOAVIN6JAKG33YC \
  | 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: 99534b1ecc3810a702a86f92051b7bc0be42ef3c9fc36ca78b7c6338af386106

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a51dfda59bed0101818184584a09d3e424fa88c118f12016c1569043e1050261",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.hist-ph",
    "submitted_at": "2023-04-19T18:11:18Z",
    "title_canon_sha256": "a48c429b8445fac909c01ec740aad514fc457999091e72c696aed11cf15e2f93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.11132",
    "kind": "arxiv",
    "version": 2
  }
}