Pith Number

pith:WRDZE2F7

pith:2026:WRDZE2F7GWI646FSY3SXDEW3RQ

not attested not anchored not stored refs pending

Exceptional Lines and Excitation of (Nearly) Double-Pole Quasinormal Modes: A Semi-Analytic Study in the Nariai Black Hole

Nao Nakamoto, Naritaka Oshita

arxiv:2601.00704 v2 · 2026-01-02 · gr-qc · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WRDZE2F7GWI646FSY3SXDEW3RQ}

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

1 paper in Pith

Detectability of avoided crossings in black hole ringdowns

Receipt and verification

First computed	2026-06-03T01:05:08.759519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4479268bf3591ee78b2c6e57192db8c24ef3aa81aa67c5196d5d91bd5577d8a

Aliases

arxiv: 2601.00704 · arxiv_version: 2601.00704v2 · doi: 10.48550/arxiv.2601.00704 · pith_short_12: WRDZE2F7GWI6 · pith_short_16: WRDZE2F7GWI646FS · pith_short_8: WRDZE2F7

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/WRDZE2F7GWI646FSY3SXDEW3RQ \
  | 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: b4479268bf3591ee78b2c6e57192db8c24ef3aa81aa67c5196d5d91bd5577d8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e76c31a654c169b1af13bb474a40c3f17b66baca0ceb4d92441efceaee3c54cd",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-01-02T14:55:59Z",
    "title_canon_sha256": "2ae0ea001e79634f2402e64c4ec2ffa8b4b4b80903daa402c62ef9e0f8d2f08b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.00704",
    "kind": "arxiv",
    "version": 2
  }
}