Pith Number

pith:YELD3LLO

pith:2026:YELD3LLOUTD7DIQTYDX2DNFAQ4

not attested not anchored not stored refs resolved

Multipolar Proca stars: electric, magnetic and hybrid solitons

Carlos Herdeiro, Etevaldo dos Santos Costa Filho, Eugen Radu, Nicolas Sanchis-Gual

New multipolar electric, magnetic, and hybrid Proca stars are constructed as self-gravitating solutions in Einstein-Proca gravity, with dynamical evolutions showing instabilities in the magnetic and hybrid sectors that lead to decay into stable electric configurations or black hole collapse.

arxiv:2605.13965 v1 · 2026-05-13 · gr-qc · hep-th

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\usepackage{pith}
\pithnumber{YELD3LLOUTD7DIQTYDX2DNFAQ4}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications 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

We construct new families of everywhere regular, asymptotically flat solitons in the Einstein--Proca model, obtained as self-gravitating continuations of flat-spacetime (singular) Proca multipoles.

C2weakest assumption

The numerical constructions accurately solve the nonlinear Einstein-Proca equations for the chosen multipole boundary conditions and that the dynamical evolutions are free of significant numerical artifacts or resolution-dependent outcomes.

C3one line summary

References

83 extracted · 83 resolved · 0 Pith anchors

[1] J. A. Wheeler, “Geons,”Phys. Rev., vol. 97, pp. 511–536, 1955 1955

[2] P. Jetzer, “Boson stars,”Phys. Rept., vol. 220, pp. 163–227, 1992 1992

[3] General relativistic boson stars, 2003

[4] S. L. Liebling and C. Palenzuela, “Dynamical boson stars,”Living Rev. Rel., vol. 26, no. 1, p. 1, 2023 2023

[5] Proca stars: Gravitating Bose–Einstein condensates of massive spin 1 particles, 2016

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:13.562175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1163dad6ea4c7f1a213c0efa1b4a0873a789a8ee3c614560a344c38d66c2680

Aliases

arxiv: 2605.13965 · arxiv_version: 2605.13965v1 · doi: 10.48550/arxiv.2605.13965 · pith_short_12: YELD3LLOUTD7 · pith_short_16: YELD3LLOUTD7DIQT · pith_short_8: YELD3LLO

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/YELD3LLOUTD7DIQTYDX2DNFAQ4 \
  | 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: c1163dad6ea4c7f1a213c0efa1b4a0873a789a8ee3c614560a344c38d66c2680

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cced0cb0729cbeb2c1245b623ed888acfbc0061034532b90903faa80604658b",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-13T18:00:03Z",
    "title_canon_sha256": "bbf86b94d891ea767afa284d7db7c6ff67d974ff21171a3b501820d63538a0f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13965",
    "kind": "arxiv",
    "version": 1
  }
}