Pith Number

pith:GRT3IJOB

pith:2000:GRT3IJOBJC56S56X6WV3RMBPHB

not attested not anchored not stored refs pending

Statistical Entropy of a Stationary Dilaton Black Hole from Cardy Formula

Jiliang Jing, Mu-Lin Yan

arxiv:gr-qc/0005105 v2 · 2000-05-24 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRT3IJOBJC56S56X6WV3RMBPHB}

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	2026-05-18T01:06:48.060154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3467b425c148bbe977d7f5abb8b02f3866b4f77ae2b017fb2c475ac490e073ef

Aliases

arxiv: gr-qc/0005105 · arxiv_version: gr-qc/0005105v2 · doi: 10.48550/arxiv.gr-qc/0005105 · pith_short_12: GRT3IJOBJC56 · pith_short_16: GRT3IJOBJC56S56X · pith_short_8: GRT3IJOB

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/GRT3IJOBJC56S56X6WV3RMBPHB \
  | 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: 3467b425c148bbe977d7f5abb8b02f3866b4f77ae2b017fb2c475ac490e073ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43c93609ca15ce2cd6ca5a8bd3dfa9e8e8829687ef0c8ce644c2883cceb8856a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-05-24T09:03:29Z",
    "title_canon_sha256": "8c5effb4bc871e3fb080e3acee8ea73bc7ca9ef3581a91b29c18c19c79467a87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0005105",
    "kind": "arxiv",
    "version": 2
  }
}