Pith Number

pith:MJUNZGLF

pith:2025:MJUNZGLFMNBFYTIH7JD22DUEZH

not attested not anchored not stored refs pending

Nonlinear Tails of Gravitational Waves in Schwarzschild Black Hole Ringdown

Alex Kehagias, Antonio Riotto

arxiv:2504.06224 v1 · 2025-04-08 · gr-qc · astro-ph.CO · hep-ph · 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{MJUNZGLFMNBFYTIH7JD22DUEZH}

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

On the universality of late-time ringdown tail

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

Nonlinear tails of massive scalar fields around a black hole

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

Receipt and verification

First computed	2026-07-05T10:46:17.459784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6268dc996563425c4d07fa47ad0e84c9eb7e82fe9c51e1bdf91bdde35067326b

Aliases

arxiv: 2504.06224 · arxiv_version: 2504.06224v1 · doi: 10.48550/arxiv.2504.06224 · pith_short_12: MJUNZGLFMNBF · pith_short_16: MJUNZGLFMNBFYTIH · pith_short_8: MJUNZGLF

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/MJUNZGLFMNBFYTIH7JD22DUEZH \
  | 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: 6268dc996563425c4d07fa47ad0e84c9eb7e82fe9c51e1bdf91bdde35067326b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1417eb14e5fa17b72bb0f6175d651c479595793337eeaa57277acfbd98c7574",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-04-08T17:12:28Z",
    "title_canon_sha256": "74b6b1c4d1ed3625f5b23c34b9f64f646f1b4c1fc5b9630faa71c550243f1873"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.06224",
    "kind": "arxiv",
    "version": 1
  }
}