Pith Number

pith:Y3GK7QPW

pith:2025:Y3GK7QPW54KWVPBEX4P2GX73XV

not attested not anchored not stored refs pending

Finite Curvature Construction of Regular Black Holes and Quasinormal Mode Analysis

Chen Lan, Hao Yang, Zhen-Xiao Zhang

Prescribing finite curvature scalars produces regular black holes whose perturbation stability depends on the shape of the effective potential.

arxiv:2506.01035 v2 · 2025-06-01 · gr-qc · hep-th

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\pithnumber{Y3GK7QPW54KWVPBEX4P2GX73XV}

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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.

Claims

C1strongest claim

We show that the shape of the effective potential, particularly its width and the presence of potential valleys, plays a critical role in determining the QNMs. Models with a large peak-to-valley ratio in the potential barrier exhibit stable, exponentially decaying waveforms, while a small ratio may induce late-time instabilities.

C2weakest assumption

The assumption that the chosen analytic profiles for the curvature functions (Gaussian, hyperbolic secant, rational) can be consistently integrated to produce metrics that are regular, asymptotically flat, and satisfy the dominant energy condition without introducing additional singularities or violations.

C3one line summary

Regular black holes are built by prescribing finite Ricci or Weyl scalars with Gaussian, sech, and rational profiles to ensure regularity and energy conditions, with stability shown to depend on the peak-to-valley ratio of the perturbation potential.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-21T01:04:14.293414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6ccafc1f6ef156abc24bf1fa35ffbbd6effada96c4cb0e168718051f75b70a3

Aliases

arxiv: 2506.01035 · arxiv_version: 2506.01035v2 · doi: 10.48550/arxiv.2506.01035 · pith_short_12: Y3GK7QPW54KW · pith_short_16: Y3GK7QPW54KWVPBE · pith_short_8: Y3GK7QPW

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/Y3GK7QPW54KWVPBEX4P2GX73XV \
  | 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: c6ccafc1f6ef156abc24bf1fa35ffbbd6effada96c4cb0e168718051f75b70a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f2d4694032f9a83bc38d78e15d3e06a2b91991269737d9b6615b2dccde11ec1",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-06-01T14:33:43Z",
    "title_canon_sha256": "03fde0f2cacb84b578cff426e190291fe753b6a5235d66f7ab7626daf512b789"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01035",
    "kind": "arxiv",
    "version": 2
  }
}