Pith Number

pith:73O3XI2W

pith:2009:73O3XI2WFVRTUFXM4CQKZSDIG4

not attested not anchored not stored refs pending

A complete gauge-invariant formalism for arbitrary second-order perturbations of a Schwarzschild black hole

David Brizuela, Jose M. Martin-Garcia, Manuel Tiglio

arxiv:0903.1134 v1 · 2009-03-06 · gr-qc

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{73O3XI2WFVRTUFXM4CQKZSDIG4}

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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

4 papers in Pith

Black Hole Ringdown Nonlinearities in the Large-D Limit

Greybody factors, reflectionless scattering modes, and echoes of ultracompact horizonless objects

Excitation factors for horizonless compact objects: long-lived modes, echoes, and greybody factors

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

Receipt and verification

First computed	2026-07-04T15:48:45.283277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

feddbba3562d633a16ece0a0acc8683734afa5a7b61786dadc7470785f107e45

Aliases

arxiv: 0903.1134 · arxiv_version: 0903.1134v1 · doi: 10.48550/arxiv.0903.1134 · pith_short_12: 73O3XI2WFVRT · pith_short_16: 73O3XI2WFVRTUFXM · pith_short_8: 73O3XI2W

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/73O3XI2WFVRTUFXM4CQKZSDIG4 \
  | 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: feddbba3562d633a16ece0a0acc8683734afa5a7b61786dadc7470785f107e45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4060ab61ef4853658448f16ca1e64aafd4fa022181c7f8b7d42f8584971083cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-03-06T11:40:30Z",
    "title_canon_sha256": "98cd3019bbdc120819db98c55071bb223f0df9ba0fec4be684d46eaf666996b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1134",
    "kind": "arxiv",
    "version": 1
  }
}