Pith Number

pith:WGTLWJ6Q

pith:2003:WGTLWJ6QITAAXVSOAQEPB7ARYW

not attested not anchored not stored refs pending

Geometry of black hole thermodynamics

Ingemar Bengtsson, Jan Aman, Narit Pidokrajt

arxiv:gr-qc/0304015 v1 · 2003-04-02 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WGTLWJ6QITAAXVSOAQEPB7ARYW}

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

Information-Theoretic Black Hole Entropy I: Beyond the Area Law

Receipt and verification

First computed	2026-07-04T15:36:06.642274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1a6bb27d044c00bd64e0408f0fc11c598d16f44e9f63bd01b486618b80a6492

Aliases

arxiv: gr-qc/0304015 · arxiv_version: gr-qc/0304015v1 · doi: 10.48550/arxiv.gr-qc/0304015 · pith_short_12: WGTLWJ6QITAA · pith_short_16: WGTLWJ6QITAAXVSO · pith_short_8: WGTLWJ6Q

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/WGTLWJ6QITAAXVSOAQEPB7ARYW \
  | 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: b1a6bb27d044c00bd64e0408f0fc11c598d16f44e9f63bd01b486618b80a6492

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d976068766845f9265ab4d1205d27067b71a69ed73e376016288bb9a5728bb5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-04-02T18:16:05Z",
    "title_canon_sha256": "646cfeec6d04ebb9f9a29006920c5bbd28ad9b4971abc4d2c1898762b9e2b15e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0304015",
    "kind": "arxiv",
    "version": 1
  }
}