Pith Number

pith:CQBAYLFU

pith:2008:CQBAYLFUYWQ4JOO4WY33TI6QMZ

not attested not anchored not stored refs pending

Gibbs Paradox and the Concepts of Information, Symmetry, Similarity and Their Relationship

Shu-Kun Lin

arxiv:0803.2571 v1 · 2008-03-18 · physics.chem-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{CQBAYLFUYWQ4JOO4WY33TI6QMZ}

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.

Cited by

1 paper in Pith

Solving the Gibbs Paradox by Local Free Space and Collision Potential

Receipt and verification

First computed	2026-07-04T15:10:17.974226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14020c2cb4c5a1c4b9dcb637b9a3d066774fa9149404ff106df2f8f4e999c76a

Aliases

arxiv: 0803.2571 · arxiv_version: 0803.2571v1 · doi: 10.48550/arxiv.0803.2571 · pith_short_12: CQBAYLFUYWQ4 · pith_short_16: CQBAYLFUYWQ4JOO4 · pith_short_8: CQBAYLFU

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/CQBAYLFUYWQ4JOO4WY33TI6QMZ \
  | 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: 14020c2cb4c5a1c4b9dcb637b9a3d066774fa9149404ff106df2f8f4e999c76a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83672ea4fc478ba5bef5de0cb023858953e6a9c270b4626208f2dc50a7a51be8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2008-03-18T06:32:19Z",
    "title_canon_sha256": "e87c92a2b84e3dda647c6214beac0c132e1a84d14bfac22c16408949ebd62b55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.2571",
    "kind": "arxiv",
    "version": 1
  }
}