Pith Number

pith:2Z7JK2AE

pith:2025:2Z7JK2AEQKZXIIHHAVZBJKZD5J

not attested not anchored not stored refs pending

Evolution of black hole echo modes and the causality dilemma

Guan-Ru Li, Ramin G. Daghigh, Stefan J. Randow, Wei-Liang Qian

arxiv:2502.05354 v1 · 2025-02-07 · gr-qc · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2Z7JK2AEQKZXIIHHAVZBJKZD5J}

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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

5 papers in Pith

Sensitivity of black hole spectral instability to ultraviolet perturbations

Ringdown Signatures of Dehnen Dark Matter Halos: Fluid Modes and Detectability with Space-Based Detectors

A metric solution for rotating black holes embedded in dark matter halos with central spikes

Reflectionless and echo modes in asymmetric Damour-Solodukhin wormholes

Sensitivity of black hole spectral instability to ultraviolet perturbations

Receipt and verification

First computed	2026-07-05T10:11:36.808822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d67e95680482b37420e7057214ab23ea55046007defefa6e472153a1b6cce697

Aliases

arxiv: 2502.05354 · arxiv_version: 2502.05354v1 · doi: 10.48550/arxiv.2502.05354 · pith_short_12: 2Z7JK2AEQKZX · pith_short_16: 2Z7JK2AEQKZXIIHH · pith_short_8: 2Z7JK2AE

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/2Z7JK2AEQKZXIIHHAVZBJKZD5J \
  | 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: d67e95680482b37420e7057214ab23ea55046007defefa6e472153a1b6cce697

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efab7342a99d4c235972a4c788f970be047f16c4c854c6b0d77665ede6ffa82a",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-02-07T21:54:28Z",
    "title_canon_sha256": "89ab42fc8e6c795438a38b6691f8c3fb2e62bdbf48a9595a5693770b4808bc3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.05354",
    "kind": "arxiv",
    "version": 1
  }
}