{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:MD5GZLNJBOVV67KPSTZZR73SWH","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":"9108cdb5c1e22b0070ede1370258772c931e0e38bf37772f177e133b5a4c7b18","cross_cats_sorted":["astro-ph.HE"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-11-06T19:00:03Z","title_canon_sha256":"4a42d4f7e04cb6a557027efa526698708f50d3b26b141686c0249247d0ea051e"},"schema_version":"1.0","source":{"id":"2411.04187","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.04187","created_at":"2026-07-05T09:32:15Z"},{"alias_kind":"arxiv_version","alias_value":"2411.04187v1","created_at":"2026-07-05T09:32:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.04187","created_at":"2026-07-05T09:32:15Z"},{"alias_kind":"pith_short_12","alias_value":"MD5GZLNJBOVV","created_at":"2026-07-05T09:32:15Z"},{"alias_kind":"pith_short_16","alias_value":"MD5GZLNJBOVV67KP","created_at":"2026-07-05T09:32:15Z"},{"alias_kind":"pith_short_8","alias_value":"MD5GZLNJ","created_at":"2026-07-05T09:32:15Z"}],"graph_snapshots":[{"event_id":"sha256:61ec632ecf174a4645192343770343e601c77944e143df1acb12977ea2647c50","target":"graph","created_at":"2026-07-05T09:32:15Z","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/2411.04187/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that the gravitational waveform emitted by a binary on an eccentric orbit can be naturally decomposed into a series of harmonics. The frequencies of these harmonics depend upon the radial frequency, $f_{\\mathrm{r}}$, determined by the time to return to apoapsis, and the azimuthal frequency, $f_{\\phi}$, determined by the time to complete one orbit relative to a fixed axis. These frequencies differ due to periapsis advance. Restricting to the (2, 2) multipole, we find that the frequencies can be expressed as $f = 2 f_{\\phi} + k f_{\\mathrm{r}}$. We introduce a straightforward method of ge","authors_text":"Ben G. Patterson, Sharon Mary Tomson, Stephen Fairhurst","cross_cats":["astro-ph.HE"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-11-06T19:00:03Z","title":"Identifying Eccentricity in Binary Black Hole mergers using a Harmonic Decomposition of the Gravitational Waveform"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.04187","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:d700a3f19d86aaa59337b0a2377459f9c1fc932e38de5d61ed1379631b13502f","target":"record","created_at":"2026-07-05T09:32:15Z","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":"9108cdb5c1e22b0070ede1370258772c931e0e38bf37772f177e133b5a4c7b18","cross_cats_sorted":["astro-ph.HE"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-11-06T19:00:03Z","title_canon_sha256":"4a42d4f7e04cb6a557027efa526698708f50d3b26b141686c0249247d0ea051e"},"schema_version":"1.0","source":{"id":"2411.04187","kind":"arxiv","version":1}},"canonical_sha256":"60fa6cada90bab5f7d4f94f398ff72b1df3020deee71fe65dbc5d5cbc3db4c82","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"60fa6cada90bab5f7d4f94f398ff72b1df3020deee71fe65dbc5d5cbc3db4c82","first_computed_at":"2026-07-05T09:32:15.609278Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:32:15.609278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z2PgWyBediRlo7ZAMwRfkc99A8t5qipyoEt97i0Lx3+iwx0xwMSKejOPEUC0uvcX9cg/lgGz/Bvfp1jEFUWIDA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:32:15.609743Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.04187","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d700a3f19d86aaa59337b0a2377459f9c1fc932e38de5d61ed1379631b13502f","sha256:61ec632ecf174a4645192343770343e601c77944e143df1acb12977ea2647c50"],"state_sha256":"95e8818f3363ed4c8674621894ac13e36523754cbc0f91d954a859b4fe0ab51f"}