Pith Number

pith:PAFSQ2JD

pith:1993:PAFSQ2JDEHJNT63LLY7FS5QQNP

not attested not anchored not stored refs pending

Black Hole Entropy and the Dimensional Continuation of the Gauss-Bonnet Theorem

Claudio Teitelboim, Jorge Zanelli, M\'aximo Ba\~nados

arxiv:gr-qc/9309026 v1 · 1993-09-25 · 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{PAFSQ2JDEHJNT63LLY7FS5QQNP}

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	2026-07-04T15:36:40.870201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

780b28692321d2d9fb6b5e3e5976106be7de9be6eb4e3d04259eaced38af5a0e

Aliases

arxiv: gr-qc/9309026 · arxiv_version: gr-qc/9309026v1 · doi: 10.48550/arxiv.gr-qc/9309026 · pith_short_12: PAFSQ2JDEHJN · pith_short_16: PAFSQ2JDEHJNT63L · pith_short_8: PAFSQ2JD

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/PAFSQ2JDEHJNT63LLY7FS5QQNP \
  | 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: 780b28692321d2d9fb6b5e3e5976106be7de9be6eb4e3d04259eaced38af5a0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cd74709dd63d8ea942d4da90732b84803244ad2ef9498fbaeeae2a31d455716",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1993-09-25T00:57:53Z",
    "title_canon_sha256": "7a593ce6233b35e95cf32123b8d25c568f9fa3f40890cfbfa0dbe5631a657134"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9309026",
    "kind": "arxiv",
    "version": 1
  }
}