Pith Number

pith:KNR2BCU3

pith:2000:KNR2BCU3IIHS5BECFSQCBIWH6H

not attested not anchored not stored refs pending

Quasi-spherical approximation for rotating black holes

Hisa-aki Shinkai, Sean A. Hayward

arxiv:gr-qc/0008075 v2 · 2000-08-30 · 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{KNR2BCU3IIHS5BECFSQCBIWH6H}

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	2026-05-18T02:37:36.400897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5363a08a9b420f2e84822ca020a2c7f1fc7c3830e18bf2e7dbd571276143f8c4

Aliases

arxiv: gr-qc/0008075 · arxiv_version: gr-qc/0008075v2 · doi: 10.48550/arxiv.gr-qc/0008075 · pith_short_12: KNR2BCU3IIHS · pith_short_16: KNR2BCU3IIHS5BEC · pith_short_8: KNR2BCU3

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/KNR2BCU3IIHS5BECFSQCBIWH6H \
  | 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: 5363a08a9b420f2e84822ca020a2c7f1fc7c3830e18bf2e7dbd571276143f8c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "860cb89badf30c2da0fa4ad7cea5d4605118fd6762b0813f3ae55b4e9c99c9c5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-08-30T21:24:34Z",
    "title_canon_sha256": "a7ff3646d410ca6c69cc38e5090d4f017d69cf0d47b0cb54aa63c4067bb32c2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0008075",
    "kind": "arxiv",
    "version": 2
  }
}