Pith Number

pith:P2JDHH2W

pith:2005:P2JDHH2WZGCJHKANDJILMV525G

not attested not anchored not stored refs pending

Birkhoff's theorem in Lovelock gravity

Robin Zegers

arxiv:gr-qc/0505016 v1 · 2005-05-03 · 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{P2JDHH2WZGCJHKANDJILMV525G}

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	2026-07-04T15:17:32.242645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e92339f56c98493a80d1a50b657bae982cd49eae9ccbd74906690fe8d9a3f21

Aliases

arxiv: gr-qc/0505016 · arxiv_version: gr-qc/0505016v1 · doi: 10.48550/arxiv.gr-qc/0505016 · pith_short_12: P2JDHH2WZGCJ · pith_short_16: P2JDHH2WZGCJHKAN · pith_short_8: P2JDHH2W

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/P2JDHH2WZGCJHKANDJILMV525G \
  | 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: 7e92339f56c98493a80d1a50b657bae982cd49eae9ccbd74906690fe8d9a3f21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b21040e911a313f295060d7f0b053b702b1a98b3fb58ab8075bb38d6d1b59722",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-05-03T08:59:14Z",
    "title_canon_sha256": "401d0658c1163b7634ae03e4f0fa7681f0fe30480aea294fa504fe465ef4af11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0505016",
    "kind": "arxiv",
    "version": 1
  }
}