Pith Number

pith:QO3XZ6JQ

pith:1999:QO3XZ6JQF42QY7G36FFBOBPG7C

not attested not anchored not stored refs pending

Analytic Solutions of Teukolsky Equation in Kerr-de Sitter and Kerr-Newman-de Sitter Geometries

Eiichi Takasugi, Hiroshi Umetsu, Hisao Suzuki

arxiv:gr-qc/9905040 v1 · 1999-05-13 · 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{QO3XZ6JQF42QY7G36FFBOBPG7C}

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

Quasinormal modes of black holes: from astrophysics to string theory

Receipt and verification

First computed	2026-07-04T16:13:51.068509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83b77cf9302f350c7cdbf14a1705e6f888695fbba7366d8e5d9853866090b9df

Aliases

arxiv: gr-qc/9905040 · arxiv_version: gr-qc/9905040v1 · doi: 10.48550/arxiv.gr-qc/9905040 · pith_short_12: QO3XZ6JQF42Q · pith_short_16: QO3XZ6JQF42QY7G3 · pith_short_8: QO3XZ6JQ

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/QO3XZ6JQF42QY7G36FFBOBPG7C \
  | 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: 83b77cf9302f350c7cdbf14a1705e6f888695fbba7366d8e5d9853866090b9df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03d4354b5574258d6e390cd18d95f5223af8089a5b323ce94a22eb01ef5bdbc8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-05-13T07:19:18Z",
    "title_canon_sha256": "1d5661a4347a7977ee5681704f6143881485afc00553a43e837237bd1d122048"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9905040",
    "kind": "arxiv",
    "version": 1
  }
}