Pith Number

pith:VN3MWK5F

pith:2011:VN3MWK5FH2USSBASFRSAMTGZBT

not attested not anchored not stored refs pending

Renyi Entropy and Free Energy

John C. Baez

arxiv:1102.2098 v4 · 2011-02-10 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VN3MWK5FH2USSBASFRSAMTGZBT}

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.

Cited by

1 paper in Pith

Extended Thermodynamics and Renyi Entropy Beyond Fixed Central Charge

Receipt and verification

First computed	2026-07-05T04:23:32.794099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab76cb2ba53ea92904122c64064cd90cfd16d06cf9716c025daf7e2f798469c4

Aliases

arxiv: 1102.2098 · arxiv_version: 1102.2098v4 · doi: 10.48550/arxiv.1102.2098 · pith_short_12: VN3MWK5FH2US · pith_short_16: VN3MWK5FH2USSBAS · pith_short_8: VN3MWK5F

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/VN3MWK5FH2USSBASFRSAMTGZBT \
  | 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: ab76cb2ba53ea92904122c64064cd90cfd16d06cf9716c025daf7e2f798469c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "992e960bffe7a699f1cc4603a77238b56c7727b46bdfefc0cdd40b0cbca622e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-02-10T12:33:53Z",
    "title_canon_sha256": "f915419b0e05007e15ac34e133d380ddf11adc35e23206994abd143c12c2dc6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2098",
    "kind": "arxiv",
    "version": 4
  }
}