Pith Number

pith:AHBPZLLL

pith:2018:AHBPZLLL35IK5FDNWXJFOOBEHO

not attested not anchored not stored refs pending

On Boltzmann vs. Gibbs and the Equilibrium in Statistical Mechanics

Dustin Lazarovici

arxiv:1809.04643 v2 · 2018-09-12 · physics.hist-ph · physics.data-an

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AHBPZLLL35IK5FDNWXJFOOBEHO}

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	2026-05-18T00:01:16.364915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01c2fcad6bdf50ae946db5d25738243ba2a989e179332340459fccdddea2b541

Aliases

arxiv: 1809.04643 · arxiv_version: 1809.04643v2 · doi: 10.48550/arxiv.1809.04643 · pith_short_12: AHBPZLLL35IK · pith_short_16: AHBPZLLL35IK5FDN · pith_short_8: AHBPZLLL

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/AHBPZLLL35IK5FDNWXJFOOBEHO \
  | 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: 01c2fcad6bdf50ae946db5d25738243ba2a989e179332340459fccdddea2b541

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a8866263593f220877ebe0e7a3294b65eace61812577b413e39d2acdd3895d9",
    "cross_cats_sorted": [
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.hist-ph",
    "submitted_at": "2018-09-12T19:34:28Z",
    "title_canon_sha256": "090183e9abed3602e2d052934d5826cd51faab34039b6c0ad09d429827718585"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04643",
    "kind": "arxiv",
    "version": 2
  }
}