{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:6BDNAILTCXHE2X4EWWF5QYK33B","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"76b88b42640f8f7f105f602864901996ebea5c0f761f1434b2034217d301f8e1","cross_cats_sorted":["astro-ph.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-09-08T14:16:28Z","title_canon_sha256":"e25f3fcef06d20ab6f16ad61a21e8a80a6e7181b1335c76e91c8b615d30d8ec6"},"schema_version":"1.0","source":{"id":"2309.04345","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.04345","created_at":"2026-07-05T06:48:58Z"},{"alias_kind":"arxiv_version","alias_value":"2309.04345v1","created_at":"2026-07-05T06:48:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.04345","created_at":"2026-07-05T06:48:58Z"},{"alias_kind":"pith_short_12","alias_value":"6BDNAILTCXHE","created_at":"2026-07-05T06:48:58Z"},{"alias_kind":"pith_short_16","alias_value":"6BDNAILTCXHE2X4E","created_at":"2026-07-05T06:48:58Z"},{"alias_kind":"pith_short_8","alias_value":"6BDNAILT","created_at":"2026-07-05T06:48:58Z"}],"graph_snapshots":[{"event_id":"sha256:b87fea0c1505c48b8ccad2ff7122cf586d132d32f278c3df0ca288388937ce0c","target":"graph","created_at":"2026-07-05T06:48:58Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2309.04345/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Massive vector fields can form spatially localized, non-relativistic, stationary field configurations supported by gravitational interactions. The ground state configurations (p-solitons/vector solitons/dark photon stars/polarized Proca stars) have a time-dependent vector field pointing in the same spatial direction throughout the configuration at any instant of time, can carry macroscopic amounts of spin angular momentum, and are spherically symmetric and monotonic in the energy density. In this paper, we include general relativistic effects, and numerically investigate the stability of compa","authors_text":"Mustafa A. Amin, Thomas Helfer, Zipeng Wang","cross_cats":["astro-ph.CO"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-09-08T14:16:28Z","title":"General Relativistic Polarized Proca Stars"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.04345","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:97f81d53feff42d8325a7cb960e39ca57b570b2acf7e658382efb5d3a2f9b00f","target":"record","created_at":"2026-07-05T06:48:58Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"76b88b42640f8f7f105f602864901996ebea5c0f761f1434b2034217d301f8e1","cross_cats_sorted":["astro-ph.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-09-08T14:16:28Z","title_canon_sha256":"e25f3fcef06d20ab6f16ad61a21e8a80a6e7181b1335c76e91c8b615d30d8ec6"},"schema_version":"1.0","source":{"id":"2309.04345","kind":"arxiv","version":1}},"canonical_sha256":"f046d0217315ce4d5f84b58bd8615bd841787eb7ec23abc96282ac1fe94e0647","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f046d0217315ce4d5f84b58bd8615bd841787eb7ec23abc96282ac1fe94e0647","first_computed_at":"2026-07-05T06:48:58.550109Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:48:58.550109Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iJg7UCWVFW0aw3xoGftZrxF8Fm9Em1LBmFdxUsTgGh0Dy5wY/Quv+1bfs+krSNoUl3ElEnB7uOZ5WADVjy1zBA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:48:58.550601Z","signed_message":"canonical_sha256_bytes"},"source_id":"2309.04345","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:97f81d53feff42d8325a7cb960e39ca57b570b2acf7e658382efb5d3a2f9b00f","sha256:b87fea0c1505c48b8ccad2ff7122cf586d132d32f278c3df0ca288388937ce0c"],"state_sha256":"549b78541f16452071584fcaadb757b74bd9356925a9ba4caf1a16fa3e865e2a"}