Pith Number

pith:33ZITGXD

pith:2025:33ZITGXDGENBS4FGRLHPMK7A7Q

not attested not anchored not stored refs pending

Statistical Mechanics and Categorical Entropy

Haiqi Wu, Kai Xu

arxiv:2505.18751 v1 · 2025-05-24 · cond-mat.stat-mech · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33ZITGXDGENBS4FGRLHPMK7A7Q}

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	2026-07-05T11:09:19.081604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

def2899ae3311a1970a68acef62be0fc11c11a6a79c9591458e8d06ec768a4c5

Aliases

arxiv: 2505.18751 · arxiv_version: 2505.18751v1 · doi: 10.48550/arxiv.2505.18751 · pith_short_12: 33ZITGXDGENB · pith_short_16: 33ZITGXDGENBS4FG · pith_short_8: 33ZITGXD

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/33ZITGXDGENBS4FGRLHPMK7A7Q \
  | 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: def2899ae3311a1970a68acef62be0fc11c11a6a79c9591458e8d06ec768a4c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "656d5ba101ca5ac9b641a7c07488edddffc910c3bf4e4a8c97ad2c129430d132",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2025-05-24T15:36:08Z",
    "title_canon_sha256": "6afe0720dd99c397855b2b866112087989f4ede71771723ec3e487d43d63cd5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.18751",
    "kind": "arxiv",
    "version": 1
  }
}