Pith Number

pith:XGTFT2NG

pith:2019:XGTFT2NG2WHBMSVAZDY4HPFDBP

not attested not anchored not stored refs pending

Quasi-normal modes of black holes and naked singularities: revisiting the WKB method

Edison C. Santos, Jos\'e A. de Freitas Pacheco, J\'ulio C. Fabris

arxiv:1903.04874 v3 · 2019-03-12 · 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{XGTFT2NG2WHBMSVAZDY4HPFDBP}

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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

1 paper in Pith

Quasinormal modes of the generalized JMN naked singularity using exact WKB analysis

Receipt and verification

First computed	2026-05-17T23:47:43.725632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9a659e9a6d58e164aa0c8f1c3bca30bfac2f589d757515da63709936ae55118

Aliases

arxiv: 1903.04874 · arxiv_version: 1903.04874v3 · doi: 10.48550/arxiv.1903.04874 · pith_short_12: XGTFT2NG2WHB · pith_short_16: XGTFT2NG2WHBMSVA · pith_short_8: XGTFT2NG

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/XGTFT2NG2WHBMSVAZDY4HPFDBP \
  | 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: b9a659e9a6d58e164aa0c8f1c3bca30bfac2f589d757515da63709936ae55118

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec0c04dd5ed03a494d175f444d42d92d68087249c7eeb954ad4181ab96a08774",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-03-12T12:47:24Z",
    "title_canon_sha256": "dd92d7f8a1a369a938f29071cc14416d59a6d7947cc3f23fd30a898a37b752f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.04874",
    "kind": "arxiv",
    "version": 3
  }
}