Pith Number

pith:JRHATL2J

pith:1997:JRHATL2J2S5JUVIJDKHE2DZHIH

not attested not anchored not stored refs pending

Unified first law of black-hole dynamics and relativistic thermodynamics

Sean A. Hayward

arxiv:gr-qc/9710089 v2 · 1997-10-20 · 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{JRHATL2J2S5JUVIJDKHE2DZHIH}

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

8 papers in Pith

Modified Cosmology from Mass-to-Horizon Relation: Background Evolution

The Role of the Volume in Black Hole Thermodynamics

Modified Entropy from Action Principle

Unified Entropic Dynamics Framework for Classical, and Quantum Wave Equations

Slow-roll inflation in (dual) Kaniadakis cosmology

Receipt and verification

First computed	2026-07-04T15:27:12.171341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c4e09af49d4ba9a55091a8e4d0f2741c675888e0ee105784a05c99591b66840

Aliases

arxiv: gr-qc/9710089 · arxiv_version: gr-qc/9710089v2 · doi: 10.48550/arxiv.gr-qc/9710089 · pith_short_12: JRHATL2J2S5J · pith_short_16: JRHATL2J2S5JUVIJ · pith_short_8: JRHATL2J

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/JRHATL2J2S5JUVIJDKHE2DZHIH \
  | 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: 4c4e09af49d4ba9a55091a8e4d0f2741c675888e0ee105784a05c99591b66840

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd8d808f37806464b18026a8cfc0da625ead304979d233ffbd5fa2acda1b3793",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-10-20T06:55:06Z",
    "title_canon_sha256": "6c5d94f44e7c56ee1ec6ba1a813916a6d8598202af1374e67ee37efa5d926d91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9710089",
    "kind": "arxiv",
    "version": 2
  }
}