{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:IH4N3NAI5DYTXSYA5EHQKAITRK","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":"400186ba4dea0668723cb2f7eb067e70566bd46bdc8561a87ab3823d57f771c7","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-05-01T04:34:03Z","title_canon_sha256":"8ecd0f9b10b9badd94bedb40e95416a1211f541375b9908c23c2530755afcfbe"},"schema_version":"1.0","source":{"id":"2505.00294","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.00294","created_at":"2026-06-23T01:11:55Z"},{"alias_kind":"arxiv_version","alias_value":"2505.00294v2","created_at":"2026-06-23T01:11:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.00294","created_at":"2026-06-23T01:11:55Z"},{"alias_kind":"pith_short_12","alias_value":"IH4N3NAI5DYT","created_at":"2026-06-23T01:11:55Z"},{"alias_kind":"pith_short_16","alias_value":"IH4N3NAI5DYTXSYA","created_at":"2026-06-23T01:11:55Z"},{"alias_kind":"pith_short_8","alias_value":"IH4N3NAI","created_at":"2026-06-23T01:11:55Z"}],"graph_snapshots":[{"event_id":"sha256:4e0a86104a74643b484861a52560b8f29cf06c994d298f568f2dd6d68f9cc197","target":"graph","created_at":"2026-06-23T01:11:55Z","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/2505.00294/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we investigate the gravitational wave emission from the periodic orbital motion of a test particle around two specific types of black holes in Einstein-\\AE{}ther theory, a modified gravity that locally breaks Lorentz symmetry while remaining consistent with theoretical and observational constraints through a careful selection of its four coupling constants $c_i$. Focusing on the impact of the \\ae{}ther field, we examine the properties of periodic orbits, which are characterized by a set of three topological integers $(z, w, v)$ that uniquely classify their trajectories. We then c","authors_text":"Shuo Lu, Tao Zhu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-05-01T04:34:03Z","title":"Gravitational radiations from periodic orbits around Einstein-\\AE{}ther black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.00294","kind":"arxiv","version":2},"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":"sha256:454f4e9c68ebefa5f1b610dadb949010a520f4050f52c92483f4623a7631186c","target":"record","created_at":"2026-06-23T01:11:55Z","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":"400186ba4dea0668723cb2f7eb067e70566bd46bdc8561a87ab3823d57f771c7","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-05-01T04:34:03Z","title_canon_sha256":"8ecd0f9b10b9badd94bedb40e95416a1211f541375b9908c23c2530755afcfbe"},"schema_version":"1.0","source":{"id":"2505.00294","kind":"arxiv","version":2}},"canonical_sha256":"41f8ddb408e8f13bcb00e90f0501138ab04b01b5dee42e929bcb6243a021fdb6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"41f8ddb408e8f13bcb00e90f0501138ab04b01b5dee42e929bcb6243a021fdb6","first_computed_at":"2026-06-23T01:11:55.251812Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T01:11:55.251812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PP4s/8KbNQ0gjzGlLHliMFmKQiUCvq1MdY5RLZyZdmCBoJEJ3Maz5PtSsT+UHFwr4or8vzMaA9NEcQe8HJPJBg==","signature_status":"signed_v1","signed_at":"2026-06-23T01:11:55.252434Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.00294","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:454f4e9c68ebefa5f1b610dadb949010a520f4050f52c92483f4623a7631186c","sha256:4e0a86104a74643b484861a52560b8f29cf06c994d298f568f2dd6d68f9cc197"],"state_sha256":"4d0b8fb070be2f0ac7a4ee59703bbf103ae9b0c6ab381684697cbb29a658b807"}