Pith Number

pith:GAKDXGM5

pith:2017:GAKDXGM5247ZUH4T2OO6R42QOZ

not attested not anchored not stored refs pending

The Darboux transformation in black hole perturbation theory

Aaron D. Johnson, Daniel Kennefick, Kostas Glampedakis

arxiv:1702.06459 v3 · 2017-02-21 · 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{GAKDXGM5247ZUH4T2OO6R42QOZ}

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

4 papers in Pith

Quasinormal modes and their excitation beyond general relativity. II: isospectrality loss in gravitational waveforms

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

Gravitational-Bumblebee perturbations: Exact decoupling and isospectrality

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

Receipt and verification

First computed	2026-05-18T00:38:57.423415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30143b999dd73f9a1f93d39de8f3507679ae0d70a69ec92118e3ea91dcf3abfd

Aliases

arxiv: 1702.06459 · arxiv_version: 1702.06459v3 · doi: 10.48550/arxiv.1702.06459 · pith_short_12: GAKDXGM5247Z · pith_short_16: GAKDXGM5247ZUH4T · pith_short_8: GAKDXGM5

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/GAKDXGM5247ZUH4T2OO6R42QOZ \
  | 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: 30143b999dd73f9a1f93d39de8f3507679ae0d70a69ec92118e3ea91dcf3abfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2812b0ab575a105663f19f2816b292f01627508c0eb990e58947a918a0994d40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-02-21T16:10:58Z",
    "title_canon_sha256": "1e41de8deb8f07153be84f9acb139fed78c22efa862dc7ce4d11c40c3a20e1b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.06459",
    "kind": "arxiv",
    "version": 3
  }
}