{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:H2VL53XFPLV2PCLLEYZ5U5BTM6","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":"7c7bcb43ab4d218c49aa30373f4975bca48cf4608751cd1389007efa59a6d958","cross_cats_sorted":["astro-ph.EP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.SR","submitted_at":"2025-04-24T15:28:18Z","title_canon_sha256":"55286e403f8283aab7bbf47134e58a329d54cceb9290715aba9514ce5dd782ae"},"schema_version":"1.0","source":{"id":"2504.17658","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.17658","created_at":"2026-05-25T02:01:03Z"},{"alias_kind":"arxiv_version","alias_value":"2504.17658v1","created_at":"2026-05-25T02:01:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.17658","created_at":"2026-05-25T02:01:03Z"},{"alias_kind":"pith_short_12","alias_value":"H2VL53XFPLV2","created_at":"2026-05-25T02:01:03Z"},{"alias_kind":"pith_short_16","alias_value":"H2VL53XFPLV2PCLL","created_at":"2026-05-25T02:01:03Z"},{"alias_kind":"pith_short_8","alias_value":"H2VL53XF","created_at":"2026-05-25T02:01:03Z"}],"graph_snapshots":[{"event_id":"sha256:45662537b0791e6d1b4e1a3092084cd4499055194c05edbf7770135d10ba8447","target":"graph","created_at":"2026-05-25T02:01:03Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2504.17658/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Eccentric cavities in circumbinary disks precess on timescales much longer than the binary orbital period. These long-lived steady states can be understood as trapped modes in an effective potential primarily determined by the binary quadrupole and the inner-disk pressure support, with associated frequencies $\\omega_Q$ and $\\omega_P$. Within this framework, we show that the ratio $\\omega_P/\\omega_Q$ is the main parameter determining the mode spectrum, and obtain a thorough understanding of it by systematically solving this problem with various degrees of sophistication. We first find analytica","authors_text":"Daniel J. D'Orazio, Marcela Grcic, Martin E. Pessah","cross_cats":["astro-ph.EP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.SR","submitted_at":"2025-04-24T15:28:18Z","title":"Insights from Analytical Theory of Eccentric Circumbinary Disks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.17658","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":"sha256:6ebbf4cdffdc41a1a87772cf00b90032e5e5b5fddc340848e035fdc583d1a553","target":"record","created_at":"2026-05-25T02:01:03Z","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":"7c7bcb43ab4d218c49aa30373f4975bca48cf4608751cd1389007efa59a6d958","cross_cats_sorted":["astro-ph.EP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.SR","submitted_at":"2025-04-24T15:28:18Z","title_canon_sha256":"55286e403f8283aab7bbf47134e58a329d54cceb9290715aba9514ce5dd782ae"},"schema_version":"1.0","source":{"id":"2504.17658","kind":"arxiv","version":1}},"canonical_sha256":"3eaabeeee57aeba7896b2633da74336782ab0ee577e5f4cf829bf0ebb29b636d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3eaabeeee57aeba7896b2633da74336782ab0ee577e5f4cf829bf0ebb29b636d","first_computed_at":"2026-05-25T02:01:03.708521Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-25T02:01:03.708521Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LbCCykGgXc8+oVq1S2WScYsgwdT01kvWn7fsimQNdNogfASXBWiZ3io9Ejelaae7YGJJfwYHNYXhYOppoPuuDA==","signature_status":"signed_v1","signed_at":"2026-05-25T02:01:03.709056Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.17658","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ebbf4cdffdc41a1a87772cf00b90032e5e5b5fddc340848e035fdc583d1a553","sha256:45662537b0791e6d1b4e1a3092084cd4499055194c05edbf7770135d10ba8447"],"state_sha256":"702226366b7c8c6eab20622da97b591fe8e942f20e6fef530c5628b6d030fa3d"}