Pith Number

pith:2ZVN3SNB

pith:2006:2ZVN3SNBSMPDJ7E5ZF4JNQVI5J

not attested not anchored not stored refs pending

A Higher Dimensional Stationary Rotating Black Hole Must be Axisymmetric

Akihiro Ishibashi, Robert M. Wald, Stefan Hollands

arxiv:gr-qc/0605106 v3 · 2006-05-19 · 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{2ZVN3SNBSMPDJ7E5ZF4JNQVI5J}

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

2 papers in Pith

Axions Create Singularities on Extremal Horizons

Superradiance -- the 2020 Edition

Receipt and verification

First computed	2026-07-04T15:17:00.706611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d66addc9a1931e34fc9dc97896c2a8ea7d896c14835d4ba51d82cac2c32f3a37

Aliases

arxiv: gr-qc/0605106 · arxiv_version: gr-qc/0605106v3 · doi: 10.48550/arxiv.gr-qc/0605106 · pith_short_12: 2ZVN3SNBSMPD · pith_short_16: 2ZVN3SNBSMPDJ7E5 · pith_short_8: 2ZVN3SNB

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/2ZVN3SNBSMPDJ7E5ZF4JNQVI5J \
  | 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: d66addc9a1931e34fc9dc97896c2a8ea7d896c14835d4ba51d82cac2c32f3a37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "222947457d62ae4d153b5e6fc31a4d5f3ee9e63eadbb3e1ce3203afcafebb121",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-05-19T19:43:21Z",
    "title_canon_sha256": "261ca5f8ac1bff86e1847b0ecddcd1d6ad93cbeb60ec7dc1e9b4a0b53cbbf5dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0605106",
    "kind": "arxiv",
    "version": 3
  }
}