Pith Number

pith:QMUMK4W4

pith:2025:QMUMK4W4PZGAQJQ2HFWHOBUNDR

not attested not anchored not stored refs pending

Proca theory of four-dimensional regularized Gauss-Bonnet gravity and black holes with primary hair

Christos Charmousis, Mokhtar Hassaine, Pedro G. S. Fernandes

arxiv:2504.13084 v2 · 2025-04-17 · gr-qc · hep-th

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QMUMK4W4PZGAQJQ2HFWHOBUNDR}

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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

6 papers in Pith

Neutron stars with primary scalar hair

Grey-Body Factors and Thermodynamics of Asymptotically de Sitter Black Holes in Generalized Proca Theory

Black Hole Entropy Beyond the Wald Term in Nonminimally Coupled Gravity: A Covariant Phase Space Decomposition

Long-lived quasinormal modes of Asymptotically de Sitter Black Holes in Generalized Proca Theory

Rotating black holes with primary hair in five-dimensional generalized Proca theory

Receipt and verification

First computed	2026-07-05T11:55:18.714071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8328c572dc7e4c08261a396c77068d1c60359d14ae8419c716c7d8b6b460cd98

Aliases

arxiv: 2504.13084 · arxiv_version: 2504.13084v2 · doi: 10.48550/arxiv.2504.13084 · pith_short_12: QMUMK4W4PZGA · pith_short_16: QMUMK4W4PZGAQJQ2 · pith_short_8: QMUMK4W4

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/QMUMK4W4PZGAQJQ2HFWHOBUNDR \
  | 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: 8328c572dc7e4c08261a396c77068d1c60359d14ae8419c716c7d8b6b460cd98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f65f86c3776cfe23b7a2e807316d817ef8a3648f9cbd89e15f82be100795d4d",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-04-17T16:51:57Z",
    "title_canon_sha256": "47b0c3986fc8398b6521db9cba0402599ba710861e119250cbda9272725fdb76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.13084",
    "kind": "arxiv",
    "version": 2
  }
}