Pith Number

pith:YPSJIGD2

pith:1998:YPSJIGD2XN33WB65P72S5OSROF

not attested not anchored not stored refs pending

Perturbations of Kerr-de Sitter Black Hole and Heun's Equations

Eiichi Takasugi, Hiroshi Umetsu, Hisao Suzuki

arxiv:gr-qc/9805064 v1 · 1998-05-18 · 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{YPSJIGD2XN33WB65P72S5OSROF}

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

Exact Solution of the Non-minimally Coupled Klein-Gordon Equation in the Schwarzschild Star

Quasinormal modes of black holes: from astrophysics to string theory

Receipt and verification

First computed	2026-07-04T16:08:48.877341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3e494187abb77bb07dd7ff52eba51715e26eb6ed27ab4a34f58f0cc858d3670

Aliases

arxiv: gr-qc/9805064 · arxiv_version: gr-qc/9805064v1 · doi: 10.48550/arxiv.gr-qc/9805064 · pith_short_12: YPSJIGD2XN33 · pith_short_16: YPSJIGD2XN33WB65 · pith_short_8: YPSJIGD2

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/YPSJIGD2XN33WB65P72S5OSROF \
  | 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: c3e494187abb77bb07dd7ff52eba51715e26eb6ed27ab4a34f58f0cc858d3670

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eb53aa4a28db7e0ed2f41e6f7d842ecbaa061d77ff59f6473b5684dd5646fa2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-05-18T08:45:42Z",
    "title_canon_sha256": "1fe57946dc752ba30bca81b818b3dd8037b6045c75d8bc458d270ce6361e8680"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9805064",
    "kind": "arxiv",
    "version": 1
  }
}