Pith Number

pith:6O2FK5DE

pith:2026:6O2FK5DEVYOEIDBZJ4ZA7V3LO7

not attested not anchored not stored refs pending

Shadow dependent phenomenology framework for rotating black hole metric

Emmanuel T. Rodulfo, Nikko John Leo S. Lobos

A diffeomorphic inversion re-parameterizes rotating black hole mass using the observable shadow radius to compute deflection, temperature, and luminosity without the bare mass.

arxiv:2604.22181 v2 · 2026-04-24 · gr-qc

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\pithnumber{6O2FK5DEVYOEIDBZJ4ZA7V3LO7}

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Record completeness

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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

By employing a diffeomorphic inversion, we re-parameterize the intrinsic black hole mass entirely in terms of the observable shadow radius R_sh. This mapping allows the formulation of the classical weak deflection angle, Hawking temperature, and integrated semiclassical luminosity, bypassing the unobservable bare mass. ... drives up to a ~52% deviation in Hawking emission under current EHT limits.

C2weakest assumption

The diffeomorphic inversion that re-expresses all thermodynamic and optical quantities solely in terms of R_sh is assumed to be valid and to preserve the physical content for the Kerr-MOG and rotating Horndeski spacetimes without additional model-dependent corrections to the shadow boundary.

C3one line summary

A thermodynamic-optical duality reparameterizes black hole mass via observable shadow radius to derive lensing angles, Hawking temperature, and luminosity for Kerr, Kerr-MOG, and rotating Horndeski metrics, yielding model-specific signatures under EHT constraints including up to 52% deviation in Hor

Receipt and verification

First computed	2026-06-19T16:11:23.809755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3b4557464ae1c440c394f320fd76b77ffae5483953c91897965be219bc693e6

Aliases

arxiv: 2604.22181 · arxiv_version: 2604.22181v2 · doi: 10.48550/arxiv.2604.22181 · pith_short_12: 6O2FK5DEVYOE · pith_short_16: 6O2FK5DEVYOEIDBZ · pith_short_8: 6O2FK5DE

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6O2FK5DEVYOEIDBZJ4ZA7V3LO7 \
  | 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: f3b4557464ae1c440c394f320fd76b77ffae5483953c91897965be219bc693e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f4fdad649e25c4fe25df21d28b8726b6340f6fd6762f9d7d0e23a5b0d223bc4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-04-24T03:14:59Z",
    "title_canon_sha256": "6c3c7d944db2a0d1a66ee2fc3530a5fbf1895371ea7d08b85d5201589dd7c507"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.22181",
    "kind": "arxiv",
    "version": 2
  }
}