Pith Number

pith:QO3GQETY

pith:1998:QO3GQETYTA6ZXSHEGJJRGS4DEP

not attested not anchored not stored refs pending

Gravitational Entropy and Global Structure

C.J. Hunter, S.W. Hawking

arxiv:hep-th/9808085 v2 · 1998-08-14 · hep-th · 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{QO3GQETYTA6ZXSHEGJJRGS4DEP}

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

Kerr-NUT Thermodynamics: Misner Strings and Nut Charges

Receipt and verification

First computed	2026-07-04T16:09:52.991476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83b6681278983d9bc8e43253134b8323d16ac297a1b3bc38cf5165f0d7f05326

Aliases

arxiv: hep-th/9808085 · arxiv_version: hep-th/9808085v2 · doi: 10.48550/arxiv.hep-th/9808085 · pith_short_12: QO3GQETYTA6Z · pith_short_16: QO3GQETYTA6ZXSHE · pith_short_8: QO3GQETY

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/QO3GQETYTA6ZXSHEGJJRGS4DEP \
  | 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: 83b6681278983d9bc8e43253134b8323d16ac297a1b3bc38cf5165f0d7f05326

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8142d3089c11877d9760bde7ab3c08c459878659639cf0205a3b69da99583cff",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1998-08-14T15:49:40Z",
    "title_canon_sha256": "152a8bb0c38bb932dd39b736e36a67ae1121dc914f0398cdd6a37f7c61f358b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9808085",
    "kind": "arxiv",
    "version": 2
  }
}