Pith Number

pith:NPEN2W22

pith:2005:NPEN2W22GVBKAZ6UCGJLMM3K5L

not attested not anchored not stored refs pending

Birkhoff for Lovelock Redux

J. Franklin, S. Deser

arxiv:gr-qc/0506014 v1 · 2005-06-02 · 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{NPEN2W22GVBKAZ6UCGJLMM3K5L}

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

Thermodynamics of Chern-Simons AdS$_5$ black holes coupled to $\mathrm{SU}(2)$ solitons

Receipt and verification

First computed	2026-05-18T04:37:00.903695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bc8dd5b5a3542a067d41192b6336aeae8c6481ce894b6a54a1ca05c157452fa

Aliases

arxiv: gr-qc/0506014 · arxiv_version: gr-qc/0506014v1 · doi: 10.48550/arxiv.gr-qc/0506014 · pith_short_12: NPEN2W22GVBK · pith_short_16: NPEN2W22GVBKAZ6U · pith_short_8: NPEN2W22

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/NPEN2W22GVBKAZ6UCGJLMM3K5L \
  | 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: 6bc8dd5b5a3542a067d41192b6336aeae8c6481ce894b6a54a1ca05c157452fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "812cf416555787a67c5f1b822f44924cf82c978717c19c98b034d839f204ed3e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-06-02T19:54:32Z",
    "title_canon_sha256": "9519be60b9bf909196317b726735b85c3730b876cb3ece0676e5675c1efe8ed9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0506014",
    "kind": "arxiv",
    "version": 1
  }
}