{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:4FXSF6AUYRLSX4JBO4JJ32KGI6","short_pith_number":"pith:4FXSF6AU","canonical_record":{"source":{"id":"1801.08542","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-01-25T19:00:02Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"3e923a673c0bc4cb54b113c6e538de4beb53c6072f82fe1bd85f0275d050df1d","abstract_canon_sha256":"1e3713fa85fd64a2560b07360fde5f8122e3ec370cccfe063e4587eca549ba37"},"schema_version":"1.0"},"canonical_sha256":"e16f22f814c4572bf12177129de9464782cf2b217b19810e898ee552e23e36f7","source":{"kind":"arxiv","id":"1801.08542","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.08542","created_at":"2026-05-17T23:59:43Z"},{"alias_kind":"arxiv_version","alias_value":"1801.08542v2","created_at":"2026-05-17T23:59:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.08542","created_at":"2026-05-17T23:59:43Z"},{"alias_kind":"pith_short_12","alias_value":"4FXSF6AUYRLS","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4FXSF6AUYRLSX4JB","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4FXSF6AU","created_at":"2026-05-18T12:32:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:4FXSF6AUYRLSX4JBO4JJ32KGI6","target":"record","payload":{"canonical_record":{"source":{"id":"1801.08542","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-01-25T19:00:02Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"3e923a673c0bc4cb54b113c6e538de4beb53c6072f82fe1bd85f0275d050df1d","abstract_canon_sha256":"1e3713fa85fd64a2560b07360fde5f8122e3ec370cccfe063e4587eca549ba37"},"schema_version":"1.0"},"canonical_sha256":"e16f22f814c4572bf12177129de9464782cf2b217b19810e898ee552e23e36f7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:43.856967Z","signature_b64":"tQTj7gV+qTvM8Q9Nah2XQaZq1PoG5MNib7WL4ClIFDaT0g4HkrUCDnyQGRh8Od11nMdLAFz4QlxXKu6zf/VeDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e16f22f814c4572bf12177129de9464782cf2b217b19810e898ee552e23e36f7","last_reissued_at":"2026-05-17T23:59:43.856500Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:43.856500Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.08542","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:59:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F/l2tEiyWQR3CPF92AMbV/y0Q5OuEXMzAYTc2u6DuA9BcV0UnItMDKB+1ZzlQ5HFVzBLkfwOpVEIIFVXlvyoCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T21:15:34.799339Z"},"content_sha256":"fd71c29c0078469945aa8c55e6caf53e43971f54aadcd3a978545b09905c8aca","schema_version":"1.0","event_id":"sha256:fd71c29c0078469945aa8c55e6caf53e43971f54aadcd3a978545b09905c8aca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:4FXSF6AUYRLSX4JBO4JJ32KGI6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fourier domain gravitational waveforms for precessing eccentric binaries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Achamveedu Gopakumar, Antoine Klein, Lorenzo De Vittori, Philippe Jetzer, Yannick Boetzel","submitted_at":"2018-01-25T19:00:02Z","abstract_excerpt":"We build two families of inspiral waveforms for precessing binaries on eccentric orbits in the Fourier domain. To achieve this, we use a small eccentricity expansion of the waveform amplitudes in order to separate the periastron precession timescale from the orbital timescale, and use a shifted uniform asymptotics transformation to compute the Fourier transform in the presence of spin-induced precession. We show that the resulting waveforms can yield a median faithfulness above 0.993 when compared to an equivalent time domain waveform with an initial eccentricity of $e_0 \\approx 0.3$. We also "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.08542","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:59:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NbXBp60b9XVaqKqnAFFSqKNezw/tU/Q/kDkUUSDooeJN5gKmZvSF8Il2gIp0BvBqZfTYuKmfTQQyy2GCbWXNCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T21:15:34.800015Z"},"content_sha256":"8c4a4886999eb7fcc7873e47561dbb3bb38539912e50db45e2955d8c53340b98","schema_version":"1.0","event_id":"sha256:8c4a4886999eb7fcc7873e47561dbb3bb38539912e50db45e2955d8c53340b98"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4FXSF6AUYRLSX4JBO4JJ32KGI6/bundle.json","state_url":"https://pith.science/pith/4FXSF6AUYRLSX4JBO4JJ32KGI6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4FXSF6AUYRLSX4JBO4JJ32KGI6/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-25T21:15:34Z","links":{"resolver":"https://pith.science/pith/4FXSF6AUYRLSX4JBO4JJ32KGI6","bundle":"https://pith.science/pith/4FXSF6AUYRLSX4JBO4JJ32KGI6/bundle.json","state":"https://pith.science/pith/4FXSF6AUYRLSX4JBO4JJ32KGI6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4FXSF6AUYRLSX4JBO4JJ32KGI6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:4FXSF6AUYRLSX4JBO4JJ32KGI6","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":"1e3713fa85fd64a2560b07360fde5f8122e3ec370cccfe063e4587eca549ba37","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-01-25T19:00:02Z","title_canon_sha256":"3e923a673c0bc4cb54b113c6e538de4beb53c6072f82fe1bd85f0275d050df1d"},"schema_version":"1.0","source":{"id":"1801.08542","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.08542","created_at":"2026-05-17T23:59:43Z"},{"alias_kind":"arxiv_version","alias_value":"1801.08542v2","created_at":"2026-05-17T23:59:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.08542","created_at":"2026-05-17T23:59:43Z"},{"alias_kind":"pith_short_12","alias_value":"4FXSF6AUYRLS","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4FXSF6AUYRLSX4JB","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4FXSF6AU","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:8c4a4886999eb7fcc7873e47561dbb3bb38539912e50db45e2955d8c53340b98","target":"graph","created_at":"2026-05-17T23:59:43Z","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 build two families of inspiral waveforms for precessing binaries on eccentric orbits in the Fourier domain. To achieve this, we use a small eccentricity expansion of the waveform amplitudes in order to separate the periastron precession timescale from the orbital timescale, and use a shifted uniform asymptotics transformation to compute the Fourier transform in the presence of spin-induced precession. We show that the resulting waveforms can yield a median faithfulness above 0.993 when compared to an equivalent time domain waveform with an initial eccentricity of $e_0 \\approx 0.3$. We also ","authors_text":"Achamveedu Gopakumar, Antoine Klein, Lorenzo De Vittori, Philippe Jetzer, Yannick Boetzel","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-01-25T19:00:02Z","title":"Fourier domain gravitational waveforms for precessing eccentric binaries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.08542","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:fd71c29c0078469945aa8c55e6caf53e43971f54aadcd3a978545b09905c8aca","target":"record","created_at":"2026-05-17T23:59:43Z","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":"1e3713fa85fd64a2560b07360fde5f8122e3ec370cccfe063e4587eca549ba37","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-01-25T19:00:02Z","title_canon_sha256":"3e923a673c0bc4cb54b113c6e538de4beb53c6072f82fe1bd85f0275d050df1d"},"schema_version":"1.0","source":{"id":"1801.08542","kind":"arxiv","version":2}},"canonical_sha256":"e16f22f814c4572bf12177129de9464782cf2b217b19810e898ee552e23e36f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e16f22f814c4572bf12177129de9464782cf2b217b19810e898ee552e23e36f7","first_computed_at":"2026-05-17T23:59:43.856500Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:43.856500Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tQTj7gV+qTvM8Q9Nah2XQaZq1PoG5MNib7WL4ClIFDaT0g4HkrUCDnyQGRh8Od11nMdLAFz4QlxXKu6zf/VeDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:43.856967Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.08542","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fd71c29c0078469945aa8c55e6caf53e43971f54aadcd3a978545b09905c8aca","sha256:8c4a4886999eb7fcc7873e47561dbb3bb38539912e50db45e2955d8c53340b98"],"state_sha256":"c805cf905bec181aa8ffb191bf8ad0135d836a7f387f3114905413f7bb7d8283"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UkekY2v54/nD43sUm0QOj/9WGwnhqpJeSSWXc2+VS75vWtk49I/nKgEta3fbcqOvH9fHbbR5Kxc9/G/JH0yeDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T21:15:34.803653Z","bundle_sha256":"205d43fa8b3b0e872aac8bd4bcb5197d57e7afdab2967bf93cb3a2d1481ac704"}}