{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2LGYIL2JU3SY3LTQ44LS65EL2I","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":"7b4fa805a16f6fa9cb78872bf2a096cb36c6ab95f03c7643d7b929f0962b3696","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-04-05T20:41:07Z","title_canon_sha256":"0ddd5999f477ff95275dc497cff42696585e8bce0967684dddc5d777f575adbb"},"schema_version":"1.0","source":{"id":"1704.01648","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.01648","created_at":"2026-05-18T00:38:27Z"},{"alias_kind":"arxiv_version","alias_value":"1704.01648v3","created_at":"2026-05-18T00:38:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.01648","created_at":"2026-05-18T00:38:27Z"},{"alias_kind":"pith_short_12","alias_value":"2LGYIL2JU3SY","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2LGYIL2JU3SY3LTQ","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2LGYIL2J","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:6e93058b8db17b79d573feeff8914778139735cc0c8fbe115e48a34d32c86ba3","target":"graph","created_at":"2026-05-18T00:38:27Z","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"},"paper":{"abstract_excerpt":"Extending the Proca Lagrangian of a massive complex-valued vector field by self-interaction potential, we construct a large class of spherically symmetric solutions in flat Minkowski background as well as in the self-gravitating case. Our solutions encompass Proca Q-balls and Proca stars known in the literature, but present new features and go beyond the limited region of parameter space charted so far. A special emphasis is set to the domain of existence of the solutions in relation with the coupling constants of the potential and to the critical phenomena limiting this domain.","authors_text":"Th. Delplace, Y. Brihaye, Y. Verbin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-04-05T20:41:07Z","title":"Proca Q Balls and their Coupling to Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.01648","kind":"arxiv","version":3},"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":"sha256:962bd63b63c7b3482f761d4ff1d532d067e77e9e009fcd926d4db21cea31c719","target":"record","created_at":"2026-05-18T00:38:27Z","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":"7b4fa805a16f6fa9cb78872bf2a096cb36c6ab95f03c7643d7b929f0962b3696","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-04-05T20:41:07Z","title_canon_sha256":"0ddd5999f477ff95275dc497cff42696585e8bce0967684dddc5d777f575adbb"},"schema_version":"1.0","source":{"id":"1704.01648","kind":"arxiv","version":3}},"canonical_sha256":"d2cd842f49a6e58dae70e7172f748bd237f3dd6ed47680c6979f765d1ef30233","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2cd842f49a6e58dae70e7172f748bd237f3dd6ed47680c6979f765d1ef30233","first_computed_at":"2026-05-18T00:38:27.820436Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:27.820436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yt9o3Ejs2ZS2tmPmZQschFN5tNNAGi9wA7O1glExMpwr/9yr6uiX6h0gjP+wkpOjPTNX0mmZ2eQ4DoWdAAOUDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:27.821239Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.01648","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:962bd63b63c7b3482f761d4ff1d532d067e77e9e009fcd926d4db21cea31c719","sha256:6e93058b8db17b79d573feeff8914778139735cc0c8fbe115e48a34d32c86ba3"],"state_sha256":"455fb3a2b7278d0c41cb825226a6d22a6ca11a408e33b0eb2a561ff37a36f2d7"}