Pith Number

pith:OBIPRGZD

pith:1997:OBIPRGZD5OULA2DACU3J6QF6NK

not attested not anchored not stored refs pending

Black Holes

P.K. Townsend

arxiv:gr-qc/9707012 v1 · 1997-07-04 · 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{OBIPRGZD5OULA2DACU3J6QF6NK}

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

8 papers in Pith

Modular quantization and black holes

Bekenstein-Hawking temperature from the Schwarzian

Derivation of the Smarr formula from the Komar charge in Einstein-nonlinear electrodynamics theories and applications to regular black holes

The Smarr Formula is Gauss's Law: A Kerr-Schild Single-Copy Perspective

The physics of gravitational waves

Receipt and verification

First computed	2026-07-04T15:50:43.990790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7050f89b23eba8b0686015369f40be6ab0d8d911d010090a9a5a2eea9b15ce05

Aliases

arxiv: gr-qc/9707012 · arxiv_version: gr-qc/9707012v1 · doi: 10.48550/arxiv.gr-qc/9707012 · pith_short_12: OBIPRGZD5OUL · pith_short_16: OBIPRGZD5OULA2DA · pith_short_8: OBIPRGZD

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/OBIPRGZD5OULA2DACU3J6QF6NK \
  | 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: 7050f89b23eba8b0686015369f40be6ab0d8d911d010090a9a5a2eea9b15ce05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "134adfded3405acb4bd1e210aa45c38ffef8a2e036a4e2c7d81f036941271e63",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-07-04T15:13:06Z",
    "title_canon_sha256": "1c23c27ca76efd98b11ca6b9d293c0e9f25330d26e49563ee4e71e0822194789"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9707012",
    "kind": "arxiv",
    "version": 1
  }
}