Pith Number

pith:WKAWR55O

pith:2002:WKAWR55O3QIFRQA7TPXIM6HZDI

not attested not anchored not stored refs pending

Teukolsky Master Equation: De Rham wave equation for the gravitational and electromagnetic fields in vacuum

Christian Cherubini, Donato Bini, Remo J. Ruffini, Robert T Jantzen

arxiv:gr-qc/0203069 v1 · 2002-03-21 · 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{WKAWR55O3QIFRQA7TPXIM6HZDI}

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

3 papers in Pith

Gravitational electric-magnetic duality at the light ring and quasinormal mode isospectrality in effective field theories

Love numbers of black holes and compact objects

Unifying the Regge-Wheeler-Zerilli and Bardeen-Press-Teukolsky formalisms on spherical backgrounds

Receipt and verification

First computed	2026-07-04T16:33:42.616885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b28168f7aedc1058c01f9bee8678f91a2cb46e72eae0dfeab639cee7fdf6d6e5

Aliases

arxiv: gr-qc/0203069 · arxiv_version: gr-qc/0203069v1 · doi: 10.48550/arxiv.gr-qc/0203069 · pith_short_12: WKAWR55O3QIF · pith_short_16: WKAWR55O3QIFRQA7 · pith_short_8: WKAWR55O

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/WKAWR55O3QIFRQA7TPXIM6HZDI \
  | 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: b28168f7aedc1058c01f9bee8678f91a2cb46e72eae0dfeab639cee7fdf6d6e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34a312e74cd967d2c541e4f5d053ac09c4c9784090f4c7c8960194d0a6cd94e9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-03-21T11:54:53Z",
    "title_canon_sha256": "75fc0c939809b75507a694440ba37e120c3d9cc83984abc5a5d94b8fd552e950"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0203069",
    "kind": "arxiv",
    "version": 1
  }
}