Pith Number

pith:VVSA2DAY

pith:2026:VVSA2DAYFXD5RYD3YXYFST47NU

not attested not anchored not stored refs pending

Renormalization-group improved Schwarzschild black hole: shadow, ringdown, and strong cosmic censorship

Ahmad Al-Badawi, Faizuddin Ahmed, \.Izzet Sakall{\i}

An RG-improved Schwarzschild black hole keeps its shadow radius within 1 percent of classical Schwarzschild while making the SCC ratio multipole-independent at the 6 percent level.

arxiv:2604.24798 v4 · 2026-04-26 · gr-qc · hep-th

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

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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

The ratio β = |Im ω| / κ_- is multipole-independent at the 6% level, following β ≃ λ_L / κ_-, and the present solution is the most Schwarzschild-like member of the regular-black-hole family at matched perturbation scale while remaining shadow-degenerate with Hayward and Bonanno-Reuter geometries at the 1% level.

C2weakest assumption

The specific functional form chosen for the lapse function that interpolates between the classical Schwarzschild exterior and the quantum-smoothed interior is assumed to correctly capture the renormalization-group flow effects without additional justification from a full quantum gravity calculation.

C3one line summary

An RG-improved Schwarzschild-like black hole yields a multipole-independent SCC ratio at the 6% level, a bell-shaped Hawking temperature, and remains the most Schwarzschild-like among regular black hole models while shadow-degenerate with Hayward and Bonanno-Reuter at the 1% level.

Receipt and verification

First computed	2026-06-09T01:05:18.127092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad640d0c182dc7d8e07bc5f0594f9f6d2f8e55b941cd745080d34e240f4244d6

Aliases

arxiv: 2604.24798 · arxiv_version: 2604.24798v4 · doi: 10.48550/arxiv.2604.24798 · pith_short_12: VVSA2DAYFXD5 · pith_short_16: VVSA2DAYFXD5RYD3 · pith_short_8: VVSA2DAY

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/VVSA2DAYFXD5RYD3YXYFST47NU \
  | 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: ad640d0c182dc7d8e07bc5f0594f9f6d2f8e55b941cd745080d34e240f4244d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44f3089075d1ecc21c853a6173c8eb70ac695bb87e5ef4d07009576813fe436a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-04-26T19:52:55Z",
    "title_canon_sha256": "b354910f9ac664c0b595b44ce6d824e5b1826be1ed2bf3e074d08b2ad329a47d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.24798",
    "kind": "arxiv",
    "version": 4
  }
}