Pith Number

pith:WWWD7RXP

pith:2010:WWWD7RXPXBQQ4KZOH3Z7Y5AVKF

not attested not anchored not stored refs pending

Rigorous and General Definition of Thermodynamic Entropy

Enzo Zanchini, Gian Paolo Beretta

arxiv:1010.0813 v1 · 2010-10-05 · quant-ph · 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{WWWD7RXPXBQQ4KZOH3Z7Y5AVKF}

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	2026-05-18T02:55:50.180571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5ac3fc6efb8610e2b2e3ef3fc7415516ed15cc65e860b8c38419eba54c8a362

Aliases

arxiv: 1010.0813 · arxiv_version: 1010.0813v1 · doi: 10.48550/arxiv.1010.0813 · pith_short_12: WWWD7RXPXBQQ · pith_short_16: WWWD7RXPXBQQ4KZO · pith_short_8: WWWD7RXP

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/WWWD7RXPXBQQ4KZOH3Z7Y5AVKF \
  | 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: b5ac3fc6efb8610e2b2e3ef3fc7415516ed15cc65e860b8c38419eba54c8a362

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3534963ddec21e7694c4865fc5689c50095470fb4bf0c6bd0e39fbcbb39c000a",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-10-05T09:28:47Z",
    "title_canon_sha256": "349afe4ddd7278d9078ff68f551026fa72be6f58ea11aff78cae1b2378b46361"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0813",
    "kind": "arxiv",
    "version": 1
  }
}