{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:W4GR73CDMBLWEI43FCRCB5RII3","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":"702f2cf850ec83e69f6485c75c3ed6bc44ef94f790e6925c3a4d1de768afb4d0","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-10-19T18:00:00Z","title_canon_sha256":"ba866fb5cc7bac1d8f0f992350f5e610f03fdfd65c412f98c7592f017955f0a4"},"schema_version":"1.0","source":{"id":"2210.10788","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.10788","created_at":"2026-07-05T06:56:30Z"},{"alias_kind":"arxiv_version","alias_value":"2210.10788v2","created_at":"2026-07-05T06:56:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.10788","created_at":"2026-07-05T06:56:30Z"},{"alias_kind":"pith_short_12","alias_value":"W4GR73CDMBLW","created_at":"2026-07-05T06:56:30Z"},{"alias_kind":"pith_short_16","alias_value":"W4GR73CDMBLWEI43","created_at":"2026-07-05T06:56:30Z"},{"alias_kind":"pith_short_8","alias_value":"W4GR73CD","created_at":"2026-07-05T06:56:30Z"}],"graph_snapshots":[{"event_id":"sha256:8faf3b1241516df456df13471024a376d1523a4c0a2e227753c3e576c766fb2a","target":"graph","created_at":"2026-07-05T06:56:30Z","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/2210.10788/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quasinormal modes describe the ringdown of compact objects deformed by small perturbations. In generic theories of gravity that extend General Relativity, the linearized dynamics of these perturbations is described by a system of coupled linear differential equations of second order. We first show, under general assumptions, that such a system can be brought to a Schr\\\"odinger-like form. We then devise an analytic approximation scheme to compute the spectrum of quasinormal modes. We validate our approach using a toy model with a controllable mixing parameter $\\varepsilon$ and showing that the ","authors_text":"Alessandro Podo, Enrico Trincherini, Lam Hui, Luca Santoni","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-10-19T18:00:00Z","title":"An analytic approach to quasinormal modes for coupled linear systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.10788","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":"sha256:0e468edbe2dba54392b997e1002fde77b0911ec82636aa84d89ec03b7fc573b6","target":"record","created_at":"2026-07-05T06:56:30Z","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":"702f2cf850ec83e69f6485c75c3ed6bc44ef94f790e6925c3a4d1de768afb4d0","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-10-19T18:00:00Z","title_canon_sha256":"ba866fb5cc7bac1d8f0f992350f5e610f03fdfd65c412f98c7592f017955f0a4"},"schema_version":"1.0","source":{"id":"2210.10788","kind":"arxiv","version":2}},"canonical_sha256":"b70d1fec43605762239b28a220f62846f3a1be430dbef605d4a2ea5bc1aac4a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b70d1fec43605762239b28a220f62846f3a1be430dbef605d4a2ea5bc1aac4a5","first_computed_at":"2026-07-05T06:56:30.334383Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:56:30.334383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/C1gM76yjAXpd8HT8nVQiO1jAdQ5IueqU3kanTpqb2ZCZsvbIHndjHZEk/XBmn6TDt11jYS7jxW/m2wDk6J2Cw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:56:30.334836Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.10788","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e468edbe2dba54392b997e1002fde77b0911ec82636aa84d89ec03b7fc573b6","sha256:8faf3b1241516df456df13471024a376d1523a4c0a2e227753c3e576c766fb2a"],"state_sha256":"d2a2c162019b4119d57c5e1957937fcbd4ad0e8a92702815aeb00bd0f4b9c26d"}