{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:YELD3LLOUTD7DIQTYDX2DNFAQ4","short_pith_number":"pith:YELD3LLO","schema_version":"1.0","canonical_sha256":"c1163dad6ea4c7f1a213c0efa1b4a0873a789a8ee3c614560a344c38d66c2680","source":{"kind":"arxiv","id":"2605.13965","version":1},"attestation_state":"computed","paper":{"title":"Multipolar Proca stars: electric, magnetic and hybrid solitons","license":"http://creativecommons.org/licenses/by/4.0/","headline":"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.","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Carlos Herdeiro, Etevaldo dos Santos Costa Filho, Eugen Radu, Nicolas Sanchis-Gual","submitted_at":"2026-05-13T18:00:03Z","abstract_excerpt":"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. First we consider static and axially symmetric solutions, organized by a multipole number $\\ell$. Two distinct classes arise: electric-type configurations, which include the spherical Proca stars as the $\\ell=0$ case, and magnetic-type configurations, which have no spherical counterpart and start at $\\ell=1$. Then we construct hybrid solutions as nonlinear superpositions of electric and magnetic mul"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":true,"formal_links_present":true},"canonical_record":{"source":{"id":"2605.13965","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-05-13T18:00:03Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"bbf86b94d891ea767afa284d7db7c6ff67d974ff21171a3b501820d63538a0f5","abstract_canon_sha256":"8cced0cb0729cbeb2c1245b623ed888acfbc0061034532b90903faa80604658b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:13.562778Z","signature_b64":"IpFSSxk0FvRu7Bix/sNyoTjKHF6yZuNAc/hIUnIL0YsikUtv1r4YHVhbNW+cLxkC/ddfQ4Kb/sQeytSNcvxiCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c1163dad6ea4c7f1a213c0efa1b4a0873a789a8ee3c614560a344c38d66c2680","last_reissued_at":"2026-05-17T23:39:13.562175Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:13.562175Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multipolar Proca stars: electric, magnetic and hybrid solitons","license":"http://creativecommons.org/licenses/by/4.0/","headline":"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.","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Carlos Herdeiro, Etevaldo dos Santos Costa Filho, Eugen Radu, Nicolas Sanchis-Gual","submitted_at":"2026-05-13T18:00:03Z","abstract_excerpt":"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. First we consider static and axially symmetric solutions, organized by a multipole number $\\ell$. Two distinct classes arise: electric-type configurations, which include the spherical Proca stars as the $\\ell=0$ case, and magnetic-type configurations, which have no spherical counterpart and start at $\\ell=1$. Then we construct hybrid solutions as nonlinear superpositions of electric and magnetic mul"},"claims":{"count":3,"items":[{"kind":"strongest_claim","text":"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.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"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.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"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.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"}],"snapshot_sha256":"9708d3209a66a618519595e797c3189a0474e391f0435ca8a4fd01cccb56a9fc"},"source":{"id":"2605.13965","kind":"arxiv","version":1},"verdict":{"id":"5479b81c-8274-4f4b-862c-5648eda8fd16","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T02:35:47.374414Z","strongest_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.","one_line_summary":"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.","pipeline_version":"pith-pipeline@v0.9.0","weakest_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.","pith_extraction_headline":""},"references":{"count":83,"sample":[{"doi":"","year":1955,"title":"J. A. Wheeler, “Geons,”Phys. Rev., vol. 97, pp. 511–536, 1955","work_id":"71ee4039-82ff-40bd-9103-532fe1bd62f1","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1992,"title":"P. Jetzer, “Boson stars,”Phys. Rept., vol. 220, pp. 163–227, 1992","work_id":"da7dbf9c-45f0-4476-8ff2-7cd42f1aaebd","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2003,"title":"General relativistic boson stars,","work_id":"27c6774d-db1a-41c2-8f10-904dfb5695cd","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2023,"title":"S. L. Liebling and C. Palenzuela, “Dynamical boson stars,”Living Rev. Rel., vol. 26, no. 1, p. 1, 2023","work_id":"440242df-01c6-4654-9fc5-bbf5b3317815","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2016,"title":"Proca stars: Gravitating Bose–Einstein condensates of massive spin 1 particles,","work_id":"307a2743-bff4-4d30-a121-0b9eaf46809b","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":83,"snapshot_sha256":"49e1f36d373316d12a8af7e0ef2d4f50fa310aaaf22bc36ad1ea8a2a0cca4e10","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"891372aae8543301f035ed5a6592f1da3ad37ce81492b32d0613670fbf729f07"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2605.13965","created_at":"2026-05-17T23:39:13.562267+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.13965v1","created_at":"2026-05-17T23:39:13.562267+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.13965","created_at":"2026-05-17T23:39:13.562267+00:00"},{"alias_kind":"pith_short_12","alias_value":"YELD3LLOUTD7","created_at":"2026-05-18T12:33:37.589309+00:00"},{"alias_kind":"pith_short_16","alias_value":"YELD3LLOUTD7DIQT","created_at":"2026-05-18T12:33:37.589309+00:00"},{"alias_kind":"pith_short_8","alias_value":"YELD3LLO","created_at":"2026-05-18T12:33:37.589309+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":2,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YELD3LLOUTD7DIQTYDX2DNFAQ4","json":"https://pith.science/pith/YELD3LLOUTD7DIQTYDX2DNFAQ4.json","graph_json":"https://pith.science/api/pith-number/YELD3LLOUTD7DIQTYDX2DNFAQ4/graph.json","events_json":"https://pith.science/api/pith-number/YELD3LLOUTD7DIQTYDX2DNFAQ4/events.json","paper":"https://pith.science/paper/YELD3LLO"},"agent_actions":{"view_html":"https://pith.science/pith/YELD3LLOUTD7DIQTYDX2DNFAQ4","download_json":"https://pith.science/pith/YELD3LLOUTD7DIQTYDX2DNFAQ4.json","view_paper":"https://pith.science/paper/YELD3LLO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.13965&json=true","fetch_graph":"https://pith.science/api/pith-number/YELD3LLOUTD7DIQTYDX2DNFAQ4/graph.json","fetch_events":"https://pith.science/api/pith-number/YELD3LLOUTD7DIQTYDX2DNFAQ4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YELD3LLOUTD7DIQTYDX2DNFAQ4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YELD3LLOUTD7DIQTYDX2DNFAQ4/action/storage_attestation","attest_author":"https://pith.science/pith/YELD3LLOUTD7DIQTYDX2DNFAQ4/action/author_attestation","sign_citation":"https://pith.science/pith/YELD3LLOUTD7DIQTYDX2DNFAQ4/action/citation_signature","submit_replication":"https://pith.science/pith/YELD3LLOUTD7DIQTYDX2DNFAQ4/action/replication_record"}},"created_at":"2026-05-17T23:39:13.562267+00:00","updated_at":"2026-05-17T23:39:13.562267+00:00"}