{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:7TMNHTY6ONTQZTHDZDKNBVITQO","short_pith_number":"pith:7TMNHTY6","canonical_record":{"source":{"id":"gr-qc/9703075","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1997-03-26T04:47:03Z","cross_cats_sorted":[],"title_canon_sha256":"969650c34abe3652ade76e2b287d8d8c0858aace2024afa0e3357227214ba976","abstract_canon_sha256":"453f9ed6b06161466bd02321bebf38a922bdd24eab0ecb572e616f8c54a4feae"},"schema_version":"1.0"},"canonical_sha256":"fcd8d3cf1e73670ccce3c8d4d0d51383949d1fce17b7185497f5d7578ea469db","source":{"kind":"arxiv","id":"gr-qc/9703075","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9703075","created_at":"2026-05-18T02:37:29Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9703075v1","created_at":"2026-05-18T02:37:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9703075","created_at":"2026-05-18T02:37:29Z"},{"alias_kind":"pith_short_12","alias_value":"7TMNHTY6ONTQ","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"7TMNHTY6ONTQZTHD","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"7TMNHTY6","created_at":"2026-05-18T12:25:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:7TMNHTY6ONTQZTHDZDKNBVITQO","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/9703075","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1997-03-26T04:47:03Z","cross_cats_sorted":[],"title_canon_sha256":"969650c34abe3652ade76e2b287d8d8c0858aace2024afa0e3357227214ba976","abstract_canon_sha256":"453f9ed6b06161466bd02321bebf38a922bdd24eab0ecb572e616f8c54a4feae"},"schema_version":"1.0"},"canonical_sha256":"fcd8d3cf1e73670ccce3c8d4d0d51383949d1fce17b7185497f5d7578ea469db","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:37:29.487296Z","signature_b64":"Vbl9zH1ZSIkGTJTElkCcRZCtehvgfu3nzDhgXMMhieygxwaK+Uz0RmtowJTI9R9dbNP+dKdr3NrkWNlSnZvOCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fcd8d3cf1e73670ccce3c8d4d0d51383949d1fce17b7185497f5d7578ea469db","last_reissued_at":"2026-05-18T02:37:29.486835Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:37:29.486835Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/9703075","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:37:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cMhcS2W/4w/HpFYP7TAHZtAwUVwBIofgg3iACaq6/N03oG6ENBcpy7UBC/enPzYmZcEAxL6TyC2P4bf+2mCNAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:22:24.525309Z"},"content_sha256":"00699ce25a36c686e5a3fb5571d81a1049197de24b2bf103612eb886db3a861e","schema_version":"1.0","event_id":"sha256:00699ce25a36c686e5a3fb5571d81a1049197de24b2bf103612eb886db3a861e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:7TMNHTY6ONTQZTHDZDKNBVITQO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Second post-Newtonian gravitational radiation reaction for two-body systems: Nonspinning bodies","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"A. Gopakumar, Bala R. Iyer, Sai Iyer","submitted_at":"1997-03-26T04:47:03Z","abstract_excerpt":"Starting from the recently obtained 2PN accurate forms of the energy and angular momentum fluxes from inspiralling compact binaries, we deduce the gravitational radiation reaction to 2PN order beyond the quadrupole approximation - 4.5PN terms in the equation of motion - using the refined balance method proposed by Iyer and Will. We explore critically the features of their construction and illustrate them by contrast to other possible variants. The equations of motion are valid for general binary orbits and for a class of coordinate gauges. The limiting cases of circular orbits and radial infal"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9703075","kind":"arxiv","version":1},"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":"2026-05-18T02:37:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9nehTpC1mUb67v4Nd1lpO3Gko3/ROBGOhPrH8rqPoVgveJMZgn6UjmoV0Xi694P9P+x3QgL6Qh/gpgZnzQNlAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:22:24.525994Z"},"content_sha256":"31a711caefd6870a4eb2c49a8161c7880698c1073348c34c47ae58c2ac7f1610","schema_version":"1.0","event_id":"sha256:31a711caefd6870a4eb2c49a8161c7880698c1073348c34c47ae58c2ac7f1610"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7TMNHTY6ONTQZTHDZDKNBVITQO/bundle.json","state_url":"https://pith.science/pith/7TMNHTY6ONTQZTHDZDKNBVITQO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7TMNHTY6ONTQZTHDZDKNBVITQO/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":"2026-05-25T19:22:24Z","links":{"resolver":"https://pith.science/pith/7TMNHTY6ONTQZTHDZDKNBVITQO","bundle":"https://pith.science/pith/7TMNHTY6ONTQZTHDZDKNBVITQO/bundle.json","state":"https://pith.science/pith/7TMNHTY6ONTQZTHDZDKNBVITQO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7TMNHTY6ONTQZTHDZDKNBVITQO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:7TMNHTY6ONTQZTHDZDKNBVITQO","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":"453f9ed6b06161466bd02321bebf38a922bdd24eab0ecb572e616f8c54a4feae","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1997-03-26T04:47:03Z","title_canon_sha256":"969650c34abe3652ade76e2b287d8d8c0858aace2024afa0e3357227214ba976"},"schema_version":"1.0","source":{"id":"gr-qc/9703075","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9703075","created_at":"2026-05-18T02:37:29Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9703075v1","created_at":"2026-05-18T02:37:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9703075","created_at":"2026-05-18T02:37:29Z"},{"alias_kind":"pith_short_12","alias_value":"7TMNHTY6ONTQ","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"7TMNHTY6ONTQZTHD","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"7TMNHTY6","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:31a711caefd6870a4eb2c49a8161c7880698c1073348c34c47ae58c2ac7f1610","target":"graph","created_at":"2026-05-18T02:37:29Z","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":"Starting from the recently obtained 2PN accurate forms of the energy and angular momentum fluxes from inspiralling compact binaries, we deduce the gravitational radiation reaction to 2PN order beyond the quadrupole approximation - 4.5PN terms in the equation of motion - using the refined balance method proposed by Iyer and Will. We explore critically the features of their construction and illustrate them by contrast to other possible variants. The equations of motion are valid for general binary orbits and for a class of coordinate gauges. The limiting cases of circular orbits and radial infal","authors_text":"A. Gopakumar, Bala R. Iyer, Sai Iyer","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1997-03-26T04:47:03Z","title":"Second post-Newtonian gravitational radiation reaction for two-body systems: Nonspinning bodies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9703075","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":"sha256:00699ce25a36c686e5a3fb5571d81a1049197de24b2bf103612eb886db3a861e","target":"record","created_at":"2026-05-18T02:37:29Z","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":"453f9ed6b06161466bd02321bebf38a922bdd24eab0ecb572e616f8c54a4feae","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1997-03-26T04:47:03Z","title_canon_sha256":"969650c34abe3652ade76e2b287d8d8c0858aace2024afa0e3357227214ba976"},"schema_version":"1.0","source":{"id":"gr-qc/9703075","kind":"arxiv","version":1}},"canonical_sha256":"fcd8d3cf1e73670ccce3c8d4d0d51383949d1fce17b7185497f5d7578ea469db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fcd8d3cf1e73670ccce3c8d4d0d51383949d1fce17b7185497f5d7578ea469db","first_computed_at":"2026-05-18T02:37:29.486835Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:37:29.486835Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Vbl9zH1ZSIkGTJTElkCcRZCtehvgfu3nzDhgXMMhieygxwaK+Uz0RmtowJTI9R9dbNP+dKdr3NrkWNlSnZvOCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:37:29.487296Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9703075","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:00699ce25a36c686e5a3fb5571d81a1049197de24b2bf103612eb886db3a861e","sha256:31a711caefd6870a4eb2c49a8161c7880698c1073348c34c47ae58c2ac7f1610"],"state_sha256":"a3ccb7602cf694a1b63885d3b4fbcb9fd222f2584ce3f0bffe78316aace02b87"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G4mdG/ZnpuRnCAkGdZCVpmMtSUoOoJiedMTWMKAOcZSwFCb/K4TFAVdYt4yobtKyca9+2EXAgmCcqanpkdFoBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T19:22:24.529747Z","bundle_sha256":"7ad2b7dd0626826d266b160ca0750fdca9480a8704fe92b09a00797ba0e7b53a"}}