{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:6U5S6V7QXGDX5FXMQEWMRUCHLY","short_pith_number":"pith:6U5S6V7Q","canonical_record":{"source":{"id":"gr-qc/0404085","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2004-04-20T11:31:36Z","cross_cats_sorted":[],"title_canon_sha256":"9cd82a4ebe970f2bbf0e01490246a2db7cbb75ce09fab33ba587a6fa71a1adc0","abstract_canon_sha256":"412c36869ce08a9777af442b24ee71f899f133e0b3351c7e855c6aa23a96767c"},"schema_version":"1.0"},"canonical_sha256":"f53b2f57f0b9877e96ec812cc8d0475e138dd297c3c120e835d208a8d3a71c61","source":{"kind":"arxiv","id":"gr-qc/0404085","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0404085","created_at":"2026-05-18T02:37:30Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0404085v4","created_at":"2026-05-18T02:37:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0404085","created_at":"2026-05-18T02:37:30Z"},{"alias_kind":"pith_short_12","alias_value":"6U5S6V7QXGDX","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"6U5S6V7QXGDX5FXM","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"6U5S6V7Q","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:6U5S6V7QXGDX5FXMQEWMRUCHLY","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0404085","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2004-04-20T11:31:36Z","cross_cats_sorted":[],"title_canon_sha256":"9cd82a4ebe970f2bbf0e01490246a2db7cbb75ce09fab33ba587a6fa71a1adc0","abstract_canon_sha256":"412c36869ce08a9777af442b24ee71f899f133e0b3351c7e855c6aa23a96767c"},"schema_version":"1.0"},"canonical_sha256":"f53b2f57f0b9877e96ec812cc8d0475e138dd297c3c120e835d208a8d3a71c61","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:37:30.116096Z","signature_b64":"f+2ftXx2ru/Wv7JqKf8gOztTaigcobjmXhDYidXpBr8o72bu5qNgHkPi0B4XBUCdaD0Qmc8sh29sbA896uPvAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f53b2f57f0b9877e96ec812cc8d0475e138dd297c3c120e835d208a8d3a71c61","last_reissued_at":"2026-05-18T02:37:30.115650Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:37:30.115650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0404085","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:37:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s+n6WYU824mEt6X+W4Q2LzmHS0mCEef04o5Akbw6uv4NnPhV3tU/Ghm/Lli00nhLuxlia83ceI5816euh8peDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:19:01.061080Z"},"content_sha256":"19ebb959e554dc58a1eeec77c311f99a36abc721d2a768997c8a687b00856d93","schema_version":"1.0","event_id":"sha256:19ebb959e554dc58a1eeec77c311f99a36abc721d2a768997c8a687b00856d93"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:6U5S6V7QXGDX5FXMQEWMRUCHLY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The 2.5PN gravitational wave polarisations from inspiralling compact binaries in circular orbits","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Bala R Iyer, K G Arun, Luc Blanchet, Moh'd S S Qusailah","submitted_at":"2004-04-20T11:31:36Z","abstract_excerpt":"Using the multipolar post-Minkowskian and matching formalism we compute the gravitational waveform of inspiralling compact binaries moving in quasi-circular orbits at the second and a half post-Newtonian (2.5PN) approximation to general relativity. The inputs we use include notably the mass-type quadrupole at the 2.5PN order, the mass octupole and current quadrupole at the 2PN order, the mass $2^5$-pole and current $2^4$-pole at 1PN. The non-linear hereditary terms come from the monopole-quadrupole multipole interactions or tails, present at the 1.5PN, 2PN and 2.5PN orders, and the quadrupole-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0404085","kind":"arxiv","version":4},"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":"2026-05-18T02:37:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G43lplFJ1fMOvtkjgo6KOb4Hu7bvmJxoA5pcAi6KlBiWb7yyjFlaMom9tcffK1xLGKyxcCNymVVF/0mgYijqBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:19:01.061432Z"},"content_sha256":"93ed4b16daea32940dcbc59a2cf59b5e4930ce8bcb1a8f986ee19bc104fa7f21","schema_version":"1.0","event_id":"sha256:93ed4b16daea32940dcbc59a2cf59b5e4930ce8bcb1a8f986ee19bc104fa7f21"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6U5S6V7QXGDX5FXMQEWMRUCHLY/bundle.json","state_url":"https://pith.science/pith/6U5S6V7QXGDX5FXMQEWMRUCHLY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6U5S6V7QXGDX5FXMQEWMRUCHLY/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":"2026-06-08T23:19:01Z","links":{"resolver":"https://pith.science/pith/6U5S6V7QXGDX5FXMQEWMRUCHLY","bundle":"https://pith.science/pith/6U5S6V7QXGDX5FXMQEWMRUCHLY/bundle.json","state":"https://pith.science/pith/6U5S6V7QXGDX5FXMQEWMRUCHLY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6U5S6V7QXGDX5FXMQEWMRUCHLY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:6U5S6V7QXGDX5FXMQEWMRUCHLY","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":"412c36869ce08a9777af442b24ee71f899f133e0b3351c7e855c6aa23a96767c","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2004-04-20T11:31:36Z","title_canon_sha256":"9cd82a4ebe970f2bbf0e01490246a2db7cbb75ce09fab33ba587a6fa71a1adc0"},"schema_version":"1.0","source":{"id":"gr-qc/0404085","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0404085","created_at":"2026-05-18T02:37:30Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0404085v4","created_at":"2026-05-18T02:37:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0404085","created_at":"2026-05-18T02:37:30Z"},{"alias_kind":"pith_short_12","alias_value":"6U5S6V7QXGDX","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"6U5S6V7QXGDX5FXM","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"6U5S6V7Q","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:93ed4b16daea32940dcbc59a2cf59b5e4930ce8bcb1a8f986ee19bc104fa7f21","target":"graph","created_at":"2026-05-18T02:37:30Z","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"},"paper":{"abstract_excerpt":"Using the multipolar post-Minkowskian and matching formalism we compute the gravitational waveform of inspiralling compact binaries moving in quasi-circular orbits at the second and a half post-Newtonian (2.5PN) approximation to general relativity. The inputs we use include notably the mass-type quadrupole at the 2.5PN order, the mass octupole and current quadrupole at the 2PN order, the mass $2^5$-pole and current $2^4$-pole at 1PN. The non-linear hereditary terms come from the monopole-quadrupole multipole interactions or tails, present at the 1.5PN, 2PN and 2.5PN orders, and the quadrupole-","authors_text":"Bala R Iyer, K G Arun, Luc Blanchet, Moh'd S S Qusailah","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2004-04-20T11:31:36Z","title":"The 2.5PN gravitational wave polarisations from inspiralling compact binaries in circular orbits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0404085","kind":"arxiv","version":4},"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":"sha256:19ebb959e554dc58a1eeec77c311f99a36abc721d2a768997c8a687b00856d93","target":"record","created_at":"2026-05-18T02:37:30Z","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":"412c36869ce08a9777af442b24ee71f899f133e0b3351c7e855c6aa23a96767c","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2004-04-20T11:31:36Z","title_canon_sha256":"9cd82a4ebe970f2bbf0e01490246a2db7cbb75ce09fab33ba587a6fa71a1adc0"},"schema_version":"1.0","source":{"id":"gr-qc/0404085","kind":"arxiv","version":4}},"canonical_sha256":"f53b2f57f0b9877e96ec812cc8d0475e138dd297c3c120e835d208a8d3a71c61","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f53b2f57f0b9877e96ec812cc8d0475e138dd297c3c120e835d208a8d3a71c61","first_computed_at":"2026-05-18T02:37:30.115650Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:37:30.115650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f+2ftXx2ru/Wv7JqKf8gOztTaigcobjmXhDYidXpBr8o72bu5qNgHkPi0B4XBUCdaD0Qmc8sh29sbA896uPvAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:37:30.116096Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0404085","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:19ebb959e554dc58a1eeec77c311f99a36abc721d2a768997c8a687b00856d93","sha256:93ed4b16daea32940dcbc59a2cf59b5e4930ce8bcb1a8f986ee19bc104fa7f21"],"state_sha256":"ac135c3d90b13e229bd9051d7cfc22d21830015f51f071326b0e06b6aa27f4dd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xjI1OeXPzwPQlxDlCclLP/PUKoU4FpUn16PZcjCBSBOC21eOwbaac++qEb2kzMKLDw/8mTYbhZnSCr782z9lCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T23:19:01.063409Z","bundle_sha256":"c05b2eb600112f99ab129e781bc078326fe66ddf19203b114d940e6e1a67137a"}}