Pith Number

pith:FH7LFAWS

pith:1997:FH7LFAWSZSOYTL6XYCRZVPSO2I

not attested not anchored not stored refs pending

An Operational Approach To Black Hole Entropy

D. Vollick, F. Pretorius, W. Israel

arxiv:gr-qc/9712085 v1 · 1997-12-22 · 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{FH7LFAWSZSOYTL6XYCRZVPSO2I}

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

Black Hole Thermodynamics via Tsallis Statistical Mechanics

Receipt and verification

First computed	2026-07-04T16:04:42.069960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29feb282d2cc9d89afd7c0a39abe4ed21d49a8b10a17128bb7eaed3d88409cf8

Aliases

arxiv: gr-qc/9712085 · arxiv_version: gr-qc/9712085v1 · doi: 10.48550/arxiv.gr-qc/9712085 · pith_short_12: FH7LFAWSZSOY · pith_short_16: FH7LFAWSZSOYTL6X · pith_short_8: FH7LFAWS

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/FH7LFAWSZSOYTL6XYCRZVPSO2I \
  | 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: 29feb282d2cc9d89afd7c0a39abe4ed21d49a8b10a17128bb7eaed3d88409cf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e193a5d10780fa93ca010ecae665d5bd7ec0dec2b12b78d15c5eb6cf13c0856",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-12-22T09:03:17Z",
    "title_canon_sha256": "aeafb2ad8f919a76e38d09d88926c1bbdd98972c07e70532e63c49a310fdf3b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9712085",
    "kind": "arxiv",
    "version": 1
  }
}