{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:YGL5D7QWUNOOPBL7KQ52NH4KC5","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":"7f5a3e74e5860ddd9a39893ca7248a41ca91f8fc4ed85134e6e0cb0896cc14f0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-03-23T17:33:11Z","title_canon_sha256":"ababe2695a964bf209901d94e27b5efadc45aedfd1bdfe49d4e5d0a3b51daac2"},"schema_version":"1.0","source":{"id":"1703.08156","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.08156","created_at":"2026-05-18T00:48:03Z"},{"alias_kind":"arxiv_version","alias_value":"1703.08156v1","created_at":"2026-05-18T00:48:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.08156","created_at":"2026-05-18T00:48:03Z"},{"alias_kind":"pith_short_12","alias_value":"YGL5D7QWUNOO","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"YGL5D7QWUNOOPBL7","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"YGL5D7QW","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:6739f4ba41c47a075ff789f9111c262677ea065acd6ef38d5f2880abc8ef8522","target":"graph","created_at":"2026-05-18T00:48:03Z","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":"Compact object perturbations, at linear order, often lead in solving one or more coupled wave equations. The study of these equations was typically done by numerical or semi-analytical methods. The WKB method and the associated Bohr-Sommerfeld rule have been proved extremely useful tools in the study of black-hole perturbations and the estimation of the related quasi-normal modes. Here we present an extension of the aforementioned semi-analytic methods in the study of perturbations of ultra-compact stars and gravastars.","authors_text":"Kostas D. Kokkotas, Sebastian H. V\\\"olkel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-03-23T17:33:11Z","title":"A Semi-analytic Study of Axial Perturbations of Ultra Compact Stars"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.08156","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:cfaf3ab601d7bd06c69b5cdd494ceabd4da44463ae318c5f3bd85442d73526ac","target":"record","created_at":"2026-05-18T00:48:03Z","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":"7f5a3e74e5860ddd9a39893ca7248a41ca91f8fc4ed85134e6e0cb0896cc14f0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-03-23T17:33:11Z","title_canon_sha256":"ababe2695a964bf209901d94e27b5efadc45aedfd1bdfe49d4e5d0a3b51daac2"},"schema_version":"1.0","source":{"id":"1703.08156","kind":"arxiv","version":1}},"canonical_sha256":"c197d1fe16a35ce7857f543ba69f8a176027878dfa8f50a4e543e23829e6bbf6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c197d1fe16a35ce7857f543ba69f8a176027878dfa8f50a4e543e23829e6bbf6","first_computed_at":"2026-05-18T00:48:03.730950Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:03.730950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0aN7E0A3CkcMSa+0uj3nIE8i2Q2qZdDC6Sw+LXYF4/i5SpsNS3CFEwOGTeu39lQXJIspstIg1oE42tOKEzSZBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:03.731757Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.08156","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cfaf3ab601d7bd06c69b5cdd494ceabd4da44463ae318c5f3bd85442d73526ac","sha256:6739f4ba41c47a075ff789f9111c262677ea065acd6ef38d5f2880abc8ef8522"],"state_sha256":"a34cc96f2e4cd3bd0e7df02310fbff0d7b43c24dbaec37238b2e070c4e380ace"}