Pith Number

pith:VHIZ2YB2

pith:2026:VHIZ2YB2COIGVYJCMR7RTCCTEA

not attested not anchored not stored refs pending

Solving the Gibbs Paradox by Local Free Space and Collision Potential

Chuang Li

arxiv:2608.08457 v1 · 2026-08-09 · 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{VHIZ2YB2COIGVYJCMR7RTCCTEA}

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	2026-08-11T01:22:40.907691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9d19d603a13906ae122647f198853200a802e1ca57b01398d5298650e2656d7

Aliases

arxiv: 2608.08457 · arxiv_version: 2608.08457v1 · doi: 10.48550/arxiv.2608.08457 · pith_short_12: VHIZ2YB2COIG · pith_short_16: VHIZ2YB2COIGVYJC · pith_short_8: VHIZ2YB2

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/VHIZ2YB2COIGVYJCMR7RTCCTEA \
  | 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: a9d19d603a13906ae122647f198853200a802e1ca57b01398d5298650e2656d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0540985b4af65673ebadf5b5d0637ff43d2f47c8b22ea2ee33276b806d3a455",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-08-09T03:56:49Z",
    "title_canon_sha256": "3e0d07536993c5a25ef14053611d373962e36ed9bf4abb43d22c82c9de73263d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08457",
    "kind": "arxiv",
    "version": 1
  }
}