Pith Number

pith:FJ55KOMB

pith:2003:FJ55KOMB6D7UBRNCIDXDPAVUHI

not attested not anchored not stored refs pending

First law of black hole mechanics in Einstein-Maxwell and Einstein-Yang-Mills theories

Sijie Gao

arxiv:gr-qc/0304094 v2 · 2003-04-24 · 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{FJ55KOMB6D7UBRNCIDXDPAVUHI}

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

3 papers in Pith

Black holes and neutron stars in massive Hellings-Nordtvedt theory

Holographic pressure and volume for black holes

Revisiting black holes and their thermodynamics in Einstein-Kalb-Ramond gravity

Receipt and verification

First computed	2026-07-04T16:40:11.936164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a7bd53981f0ff40c5a240ee3782b43a3e0d70968e97063ee4fafe9e3201a109

Aliases

arxiv: gr-qc/0304094 · arxiv_version: gr-qc/0304094v2 · doi: 10.48550/arxiv.gr-qc/0304094 · pith_short_12: FJ55KOMB6D7U · pith_short_16: FJ55KOMB6D7UBRNC · pith_short_8: FJ55KOMB

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/FJ55KOMB6D7UBRNCIDXDPAVUHI \
  | 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: 2a7bd53981f0ff40c5a240ee3782b43a3e0d70968e97063ee4fafe9e3201a109

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64a38144a9cfbaefb146b1ea23879f8f44b7c5e1b1ae2d825f4e32ad89852a10",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-04-24T09:53:46Z",
    "title_canon_sha256": "688c3bc47bcf287a1cf53a701f145e142a3bcffd45f56ed3c681130be58ae942"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0304094",
    "kind": "arxiv",
    "version": 2
  }
}