Pith Number

pith:XPOL7367

pith:2024:XPOL7367Q7BQJCG4KKDAJGT67J

not attested not anchored not stored refs pending

Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach

J\'er\'emy Besson, Jos\'e Luis Jaramillo

arxiv:2412.02793 v2 · 2024-12-03 · gr-qc · physics.optics

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPOL7367Q7BQJCG4KKDAJGT67J}

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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

2 papers in Pith

Properties of natural polynomials for Schwarzschild and Kerr black holes

Bilinear products and the orthogonality of quasinormal modes on hyperboloidal foliations

Receipt and verification

First computed	2026-07-05T11:37:12.737232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbdcbfefdf87c30488dc5286049a7efa7e2ab76fb4b0a89f4963a362c30765ec

Aliases

arxiv: 2412.02793 · arxiv_version: 2412.02793v2 · doi: 10.48550/arxiv.2412.02793 · pith_short_12: XPOL7367Q7BQ · pith_short_16: XPOL7367Q7BQJCG4 · pith_short_8: XPOL7367

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/XPOL7367Q7BQJCG4KKDAJGT67J \
  | 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: bbdcbfefdf87c30488dc5286049a7efa7e2ab76fb4b0a89f4963a362c30765ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d819f278c1c204a985d71e74d9bb3d7a226e3d03db3f7f2305175eb7cf29680e",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-12-03T19:43:58Z",
    "title_canon_sha256": "e4c8710db0f18b657a39e5fe713d505ca6923df68d7f4723b0aeb461d0294397"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.02793",
    "kind": "arxiv",
    "version": 2
  }
}