Pith Number

pith:6H3YVT22

pith:2016:6H3YVT22YTO7PP2OMVM2FKRS4W

not attested not anchored not stored refs pending

On the dispute between Boltzmann and Gibbs entropy

Augusto Smerzi (QSTAR, CNR - Istituto Nazionale di Ottica), Pierfrancesco Buonsante, Roberto Franzosi

arxiv:1601.01509 v2 · 2016-01-07 · 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{6H3YVT22YTO7PP2OMVM2FKRS4W}

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	2026-05-18T00:54:41.059212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1f78acf5ac4ddf7bf4e6559a2aa32e59a0574c5ee7c9ec49914e237e1be25d7

Aliases

arxiv: 1601.01509 · arxiv_version: 1601.01509v2 · doi: 10.48550/arxiv.1601.01509 · pith_short_12: 6H3YVT22YTO7 · pith_short_16: 6H3YVT22YTO7PP2O · pith_short_8: 6H3YVT22

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/6H3YVT22YTO7PP2OMVM2FKRS4W \
  | 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: f1f78acf5ac4ddf7bf4e6559a2aa32e59a0574c5ee7c9ec49914e237e1be25d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4f28aa8962973a26dbe5418071f52c6873aa3c6303d650fbd25c6137ed9a1cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-01-07T12:28:18Z",
    "title_canon_sha256": "0cd9fb8a4bd801ad63372f579abbad7ca0388d35a07c159222fec312e353ec12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01509",
    "kind": "arxiv",
    "version": 2
  }
}