Pith Number

pith:JVAFZKD7

pith:2007:JVAFZKD7CGU6WTZ6H6GO4BSLF3

not attested not anchored not stored refs pending

Second Order Quasi-Normal Mode of the Schwarzschild Black Hole

Hiroyuki Nakano, Kunihito Ioka

arxiv:0708.0450 v1 · 2007-08-03 · gr-qc · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JVAFZKD7CGU6WTZ6H6GO4BSLF3}

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

7 papers in Pith

The Bondi--Sachs gauge, BMS frames, and memory in black hole perturbation theory

Black Hole Ringdown Nonlinearities in the Large-D Limit

Early-Time Nonlinear Growth in an Unstable Q-Ball Hairy Black Hole

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

Can Oscillatory and Persistent Nonlinearities Be Bridged in Black Hole Ringdown?

Receipt and verification

First computed	2026-07-04T15:21:23.271142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d405ca87f11a9eb4f3e3f8cee064b2ec962bc2522eeda4786bffe8da5ee9c9e

Aliases

arxiv: 0708.0450 · arxiv_version: 0708.0450v1 · doi: 10.48550/arxiv.0708.0450 · pith_short_12: JVAFZKD7CGU6 · pith_short_16: JVAFZKD7CGU6WTZ6 · pith_short_8: JVAFZKD7

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/JVAFZKD7CGU6WTZ6H6GO4BSLF3 \
  | 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: 4d405ca87f11a9eb4f3e3f8cee064b2ec962bc2522eeda4786bffe8da5ee9c9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "027310c42015daaa2d20ac8eedf76aa6a2cc9cc0256a4e171abbee679861eae5",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-08-03T03:13:51Z",
    "title_canon_sha256": "51b8e47e1dba44f262e245b47602b49c7585727ff60297b2edec7a6ffb7ff896"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.0450",
    "kind": "arxiv",
    "version": 1
  }
}