Pith Number

pith:VL2TPKED

pith:2026:VL2TPKEDRQWDB4KDB7GL4R5YEJ

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(Super-)renormalizable hairy meronic black holes

Borja Diez, Luis Avil\'es

Analytical black hole solutions generalize the charged MTZ black hole to include self-gravitating non-Abelian gauge fields in Einstein-Maxwell-Yang-Mills theory with conformal scalars.

arxiv:2604.25844 v2 · 2026-04-28 · hep-th · gr-qc

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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

We construct an analytical black hole solution in the Einstein-Maxwell-Yang-Mills theory with a conformally coupled scalar field in four dimensions, which generalizes the charged Martínez-Troncoso-Zanelli (MTZ) black hole in the presence of self-gravitating non-Abelian gauge fields.

C2weakest assumption

The assumption that the internal gauge group is fixed by the sign of the horizon curvature (SU(N) for positive, SU(N-1,1) for negative) and that the conformal coupling plus Yang-Mills terms admit closed-form analytical solutions satisfying the full field equations.

C3one line summary

Analytical black hole solutions are constructed in Einstein-Maxwell-Yang-Mills theory with conformally coupled scalars, generalizing MTZ and AC solutions by including non-Abelian gauge fields determined by horizon curvature.

Receipt and verification

First computed	2026-06-11T02:09:29.693013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaf537a8838c2c30f1430fccbe47b8226c9a826f562fb04acd87e7cc02c93da0

Aliases

arxiv: 2604.25844 · arxiv_version: 2604.25844v2 · doi: 10.48550/arxiv.2604.25844 · pith_short_12: VL2TPKEDRQWD · pith_short_16: VL2TPKEDRQWDB4KD · pith_short_8: VL2TPKED

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VL2TPKEDRQWDB4KDB7GL4R5YEJ \
  | 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: aaf537a8838c2c30f1430fccbe47b8226c9a826f562fb04acd87e7cc02c93da0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb73e09fb13cd16f63b5f94e2f11521223c54f1ca34f9d3415a9e6a136273d0f",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-04-28T16:51:49Z",
    "title_canon_sha256": "44b196fb487895df0ebd5672b35a74e03b6d24026211fad6581012c128b0d9a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.25844",
    "kind": "arxiv",
    "version": 2
  }
}