{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:YMBOSSTIOYPFSTFPRTKPGTDOO3","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":"4ddfeca6486c765ef3e0e1d1f6ebc43b8587208c21e1b65e1518a97ffef6282a","cross_cats_sorted":["astro-ph.CO","astro-ph.GA","astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-06-01T16:56:25Z","title_canon_sha256":"3cac688089bfe78cb2df012788f26bfbfb7c7507d9aa7f9a97db99a75ed9c737"},"schema_version":"1.0","source":{"id":"0906.0313","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.0313","created_at":"2026-05-18T02:51:57Z"},{"alias_kind":"arxiv_version","alias_value":"0906.0313v3","created_at":"2026-05-18T02:51:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.0313","created_at":"2026-05-18T02:51:57Z"},{"alias_kind":"pith_short_12","alias_value":"YMBOSSTIOYPF","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"YMBOSSTIOYPFSTFP","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"YMBOSSTI","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:9dc14c34b55e1f5d4cdd1114b206144162ca13ae289b918148c14e23b51ee89c","target":"graph","created_at":"2026-05-18T02:51:57Z","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":"We lay the foundations for the construction of analytic expressions for Fourier-domain gravitational waveforms produced by eccentric, inspiraling compact binaries in a post-circular or small-eccentricity approximation. The time-dependent, \"plus\" and \"cross\" polarizations are expanded in Bessel functions, which are then self-consistently re-expanded in a power series about zero initial eccentricity to eighth order. The stationary phase approximation is then employed to obtain explicit analytic expressions for the Fourier transform of the post-circular expanded, time-domain signal. We exemplify ","authors_text":"Clifford M. Will, Emanuele Berti, K. G. Arun, Nicolas Yunes","cross_cats":["astro-ph.CO","astro-ph.GA","astro-ph.HE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-06-01T16:56:25Z","title":"Post-Circular Expansion of Eccentric Binary Inspirals: Fourier-Domain Waveforms in the Stationary Phase Approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.0313","kind":"arxiv","version":3},"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:cb649496955fb189700d69cb472a2c15331da5e74a3d6c8ae0118b0b5aa715c9","target":"record","created_at":"2026-05-18T02:51:57Z","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":"4ddfeca6486c765ef3e0e1d1f6ebc43b8587208c21e1b65e1518a97ffef6282a","cross_cats_sorted":["astro-ph.CO","astro-ph.GA","astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-06-01T16:56:25Z","title_canon_sha256":"3cac688089bfe78cb2df012788f26bfbfb7c7507d9aa7f9a97db99a75ed9c737"},"schema_version":"1.0","source":{"id":"0906.0313","kind":"arxiv","version":3}},"canonical_sha256":"c302e94a68761e594caf8cd4f34c6e76c235c8ad0196717f693fcad5aef91f63","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c302e94a68761e594caf8cd4f34c6e76c235c8ad0196717f693fcad5aef91f63","first_computed_at":"2026-05-18T02:51:57.371184Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:57.371184Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q22KGc2PBbkhDzU6u91i3g5hX412BZPxr+qpy/6EOdcdeVwNzkznpRfBvxlwGf84txZSmxtfyBPMQ95TjhHIAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:57.371723Z","signed_message":"canonical_sha256_bytes"},"source_id":"0906.0313","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb649496955fb189700d69cb472a2c15331da5e74a3d6c8ae0118b0b5aa715c9","sha256:9dc14c34b55e1f5d4cdd1114b206144162ca13ae289b918148c14e23b51ee89c"],"state_sha256":"194d52404fb1df2b6ae70ee0e4e4e06791577072ba62cf435463edb8697ce3b2"}