Pith Number

pith:Q3JILBMF

pith:1993:Q3JILBMFGSK7N2KHH6TUN2H6JY

not attested not anchored not stored refs pending

Proof of the Generalized Second Law for Quasistationary Semiclassical Black Holes

Don N. Page, Valery P. Frolov

arxiv:gr-qc/9302017 v4 · 1993-02-15 · 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{Q3JILBMFGSK7N2KHH6TUN2H6JY}

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	2026-05-18T04:37:57.606297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86d28585853495f6e9473fa746e8fe4e193f13d22454cd5656277804503e021f

Aliases

arxiv: gr-qc/9302017 · arxiv_version: gr-qc/9302017v4 · doi: 10.48550/arxiv.gr-qc/9302017 · pith_short_12: Q3JILBMFGSK7 · pith_short_16: Q3JILBMFGSK7N2KH · pith_short_8: Q3JILBMF

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/Q3JILBMFGSK7N2KHH6TUN2H6JY \
  | 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: 86d28585853495f6e9473fa746e8fe4e193f13d22454cd5656277804503e021f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "876d32114fc2d5af5556e077b49a8cf44cacb2f1b6f1222c56f682872084136d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1993-02-15T22:25:17Z",
    "title_canon_sha256": "0b0324c1ed318cb0414fd521c62e2d1fa003176389d7de644766038f04a3894d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9302017",
    "kind": "arxiv",
    "version": 4
  }
}