Pith Number

pith:XJ3RAD4R

pith:2015:XJ3RAD4RRPFM3ZV5FGORP7ZSOU

not attested not anchored not stored refs pending

Never Judge a Black Hole by Its Area

Yen Chin Ong

arxiv:1503.01092 v4 · 2015-03-03 · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XJ3RAD4RRPFM3ZV5FGORP7ZSOU}

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 chemistry: thermodynamics with Lambda

Receipt and verification

First computed	2026-05-18T01:36:18.265094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba77100f918bcacde6bd299d17ff32753782debc58b841b734daf9932a891d23

Aliases

arxiv: 1503.01092 · arxiv_version: 1503.01092v4 · doi: 10.48550/arxiv.1503.01092 · pith_short_12: XJ3RAD4RRPFM · pith_short_16: XJ3RAD4RRPFM3ZV5 · pith_short_8: XJ3RAD4R

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/XJ3RAD4RRPFM3ZV5FGORP7ZSOU \
  | 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: ba77100f918bcacde6bd299d17ff32753782debc58b841b734daf9932a891d23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3786be7613e57b30666d57edfbce6150483d356c49032bdc73da43e0ac326e8f",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-03-03T20:37:34Z",
    "title_canon_sha256": "aabc987823921fe6cbff4c506133809bad0e2868284df5a074cc088685972265"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01092",
    "kind": "arxiv",
    "version": 4
  }
}