Pith Number

pith:PZGQJWSP

pith:2012:PZGQJWSPKZ2SG5E26SL3HYCXBA

not attested not anchored not stored refs pending

Universal properties and the first law of black hole inner mechanics

Alejandra Castro, Maria J. Rodriguez

arxiv:1204.1284 v3 · 2012-04-05 · 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{PZGQJWSPKZ2SG5E26SL3HYCXBA}

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	2026-05-18T03:22:42.363747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e4d04da4f567523749af497b3e057080fd602c5f0bdab3254f21562263fd9bc

Aliases

arxiv: 1204.1284 · arxiv_version: 1204.1284v3 · doi: 10.48550/arxiv.1204.1284 · pith_short_12: PZGQJWSPKZ2S · pith_short_16: PZGQJWSPKZ2SG5E2 · pith_short_8: PZGQJWSP

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/PZGQJWSPKZ2SG5E26SL3HYCXBA \
  | 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: 7e4d04da4f567523749af497b3e057080fd602c5f0bdab3254f21562263fd9bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b26861e0189adb7930c77b85309b633c572a2f2e2e3c0c839325859973a3608",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-04-05T17:37:38Z",
    "title_canon_sha256": "16ddeefc255aa27b216ec12409469106d32f12101ebcb4a9cb0a55ef9888ce09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1284",
    "kind": "arxiv",
    "version": 3
  }
}