Pith Number

pith:GM7FJ5R7

pith:2004:GM7FJ5R7Q7RKAAY763IHYQ4UTU

not attested not anchored not stored refs pending

Generalized Smarr relation for Kerr AdS black holes from improved surface integrals

G. Barnich, G.Compere

arxiv:gr-qc/0412029 v2 · 2004-12-07 · 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{GM7FJ5R7Q7RKAAY763IHYQ4UTU}

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.

Receipt and verification

First computed	2026-05-18T02:37:27.724373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

333e54f63f87e2a0031ff6d07c43949d049e10e0849cc72b7b0aa97b7ed821b7

Aliases

arxiv: gr-qc/0412029 · arxiv_version: gr-qc/0412029v2 · doi: 10.48550/arxiv.gr-qc/0412029 · pith_short_12: GM7FJ5R7Q7RK · pith_short_16: GM7FJ5R7Q7RKAAY7 · pith_short_8: GM7FJ5R7

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/GM7FJ5R7Q7RKAAY763IHYQ4UTU \
  | 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: 333e54f63f87e2a0031ff6d07c43949d049e10e0849cc72b7b0aa97b7ed821b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7301defcd706c823325a1a66e4e3bb3d7505bc26faffa5fe8910a30d6e859ad9",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-12-07T12:39:11Z",
    "title_canon_sha256": "2524f41c23232bfa02807f002738953ce88f751df0256296d45bfd70d2c75db5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0412029",
    "kind": "arxiv",
    "version": 2
  }
}