Pith Number

pith:LU4S6TGT

pith:2018:LU4S6TGTTR5MGX37X3WLZZA2ZQ

not attested not anchored not stored refs pending

The Gibbs Paradox

Simon Saunders

arxiv:1808.01953 v1 · 2018-08-06 · physics.hist-ph · physics.atm-clus · 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{LU4S6TGTTR5MGX37X3WLZZA2ZQ}

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	2026-05-18T00:08:49.090118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d392f4cd39c7ac35f7fbeecbce41acc007aec0e574294d8dc3d2c950d316d45

Aliases

arxiv: 1808.01953 · arxiv_version: 1808.01953v1 · doi: 10.48550/arxiv.1808.01953 · pith_short_12: LU4S6TGTTR5M · pith_short_16: LU4S6TGTTR5MGX37 · pith_short_8: LU4S6TGT

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/LU4S6TGTTR5MGX37X3WLZZA2ZQ \
  | 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: 5d392f4cd39c7ac35f7fbeecbce41acc007aec0e574294d8dc3d2c950d316d45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0b1441dabe686f04795753085c84176843f7921d22c8cc3deea2943c870ee34",
    "cross_cats_sorted": [
      "physics.atm-clus",
      "physics.class-ph"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "physics.hist-ph",
    "submitted_at": "2018-08-06T15:01:51Z",
    "title_canon_sha256": "055d3f6033408b684225ced5aaee4eb0db38d8ad7538d1b05554715e61750289"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01953",
    "kind": "arxiv",
    "version": 1
  }
}