{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:JAQIQTSHPW4HPJN2DQA7JY3MJY","short_pith_number":"pith:JAQIQTSH","canonical_record":{"source":{"id":"1210.4143","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-10-15T19:27:42Z","cross_cats_sorted":[],"title_canon_sha256":"a4c6bb86cd90743d486cc0403ecfd617e7756fde892f515393af8a8f4f3e8318","abstract_canon_sha256":"e64ae17269b33e75c95dcb4e25cdcac7875148368d7977217e84808f691ca0cb"},"schema_version":"1.0"},"canonical_sha256":"4820884e477db877a5ba1c01f4e36c4e3a553e215280c40a17ca8993a7008f64","source":{"kind":"arxiv","id":"1210.4143","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.4143","created_at":"2026-05-18T01:53:54Z"},{"alias_kind":"arxiv_version","alias_value":"1210.4143v2","created_at":"2026-05-18T01:53:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.4143","created_at":"2026-05-18T01:53:54Z"},{"alias_kind":"pith_short_12","alias_value":"JAQIQTSHPW4H","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JAQIQTSHPW4HPJN2","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JAQIQTSH","created_at":"2026-05-18T12:27:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:JAQIQTSHPW4HPJN2DQA7JY3MJY","target":"record","payload":{"canonical_record":{"source":{"id":"1210.4143","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-10-15T19:27:42Z","cross_cats_sorted":[],"title_canon_sha256":"a4c6bb86cd90743d486cc0403ecfd617e7756fde892f515393af8a8f4f3e8318","abstract_canon_sha256":"e64ae17269b33e75c95dcb4e25cdcac7875148368d7977217e84808f691ca0cb"},"schema_version":"1.0"},"canonical_sha256":"4820884e477db877a5ba1c01f4e36c4e3a553e215280c40a17ca8993a7008f64","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:53:54.975231Z","signature_b64":"wFmXRcStWHUQlkblBBYJ6VXJviadmjlNIP0s4f3mKctdXTl54nJenTAoRTPWYIbQ1siuo/DNSd/cAbIyRLisDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4820884e477db877a5ba1c01f4e36c4e3a553e215280c40a17ca8993a7008f64","last_reissued_at":"2026-05-18T01:53:54.974504Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:53:54.974504Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.4143","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":"2026-05-18T01:53:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rArZzh2AR6qcrdmFbkFOy8P91LlAmOT38ZnZmVfSTWVINdNNJcGCSyjLHx89XmCQlzO3o1hewcMaaLPGUMUwCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:47:59.811148Z"},"content_sha256":"f25f6401fb42f77755112f33cb3030463e9115169f1e4b201f85d2e27f6a9a78","schema_version":"1.0","event_id":"sha256:f25f6401fb42f77755112f33cb3030463e9115169f1e4b201f85d2e27f6a9a78"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:JAQIQTSHPW4HPJN2DQA7JY3MJY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Next-to-next-to-leading order spin-orbit effects in the equations of motion of compact binary systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Alejandro Bohe, Guillaume Faye, Luc Blanchet, Sylvain Marsat","submitted_at":"2012-10-15T19:27:42Z","abstract_excerpt":"We compute next-to-next-to-leading order spin contributions to the post-Newtonian equations of motion for binaries of compact objects, such as black holes or neutron stars. For maximally spinning black holes, those contributions are of third-and-a-half post-Newtonian (3.5PN) order, improving our knowledge of the equations of motion, already known for non-spinning objects up to this order. Building on previous work, we represent the rotation of the two bodies using a pole-dipole matter stress-energy tensor, and iterate Einstein's field equations for a set of potentials parametrizing the metric "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.4143","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":"2026-05-18T01:53:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Os3lFnPmSy9SKupDszm0UnRw3Q7+qdhu0utHx5FoWqGh16cWLKXJUf3LRvueKTlpmxlTuX/BxDIsLgGRpQyLBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:47:59.811835Z"},"content_sha256":"f61be4c9857a16bc074b3c686fc887b3fbbc691656b22e02649940563211db5f","schema_version":"1.0","event_id":"sha256:f61be4c9857a16bc074b3c686fc887b3fbbc691656b22e02649940563211db5f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JAQIQTSHPW4HPJN2DQA7JY3MJY/bundle.json","state_url":"https://pith.science/pith/JAQIQTSHPW4HPJN2DQA7JY3MJY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JAQIQTSHPW4HPJN2DQA7JY3MJY/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":"2026-05-25T23:47:59Z","links":{"resolver":"https://pith.science/pith/JAQIQTSHPW4HPJN2DQA7JY3MJY","bundle":"https://pith.science/pith/JAQIQTSHPW4HPJN2DQA7JY3MJY/bundle.json","state":"https://pith.science/pith/JAQIQTSHPW4HPJN2DQA7JY3MJY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JAQIQTSHPW4HPJN2DQA7JY3MJY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JAQIQTSHPW4HPJN2DQA7JY3MJY","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":"e64ae17269b33e75c95dcb4e25cdcac7875148368d7977217e84808f691ca0cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-10-15T19:27:42Z","title_canon_sha256":"a4c6bb86cd90743d486cc0403ecfd617e7756fde892f515393af8a8f4f3e8318"},"schema_version":"1.0","source":{"id":"1210.4143","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.4143","created_at":"2026-05-18T01:53:54Z"},{"alias_kind":"arxiv_version","alias_value":"1210.4143v2","created_at":"2026-05-18T01:53:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.4143","created_at":"2026-05-18T01:53:54Z"},{"alias_kind":"pith_short_12","alias_value":"JAQIQTSHPW4H","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JAQIQTSHPW4HPJN2","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JAQIQTSH","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:f61be4c9857a16bc074b3c686fc887b3fbbc691656b22e02649940563211db5f","target":"graph","created_at":"2026-05-18T01:53:54Z","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 compute next-to-next-to-leading order spin contributions to the post-Newtonian equations of motion for binaries of compact objects, such as black holes or neutron stars. For maximally spinning black holes, those contributions are of third-and-a-half post-Newtonian (3.5PN) order, improving our knowledge of the equations of motion, already known for non-spinning objects up to this order. Building on previous work, we represent the rotation of the two bodies using a pole-dipole matter stress-energy tensor, and iterate Einstein's field equations for a set of potentials parametrizing the metric ","authors_text":"Alejandro Bohe, Guillaume Faye, Luc Blanchet, Sylvain Marsat","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-10-15T19:27:42Z","title":"Next-to-next-to-leading order spin-orbit effects in the equations of motion of compact binary systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.4143","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:f25f6401fb42f77755112f33cb3030463e9115169f1e4b201f85d2e27f6a9a78","target":"record","created_at":"2026-05-18T01:53:54Z","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":"e64ae17269b33e75c95dcb4e25cdcac7875148368d7977217e84808f691ca0cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-10-15T19:27:42Z","title_canon_sha256":"a4c6bb86cd90743d486cc0403ecfd617e7756fde892f515393af8a8f4f3e8318"},"schema_version":"1.0","source":{"id":"1210.4143","kind":"arxiv","version":2}},"canonical_sha256":"4820884e477db877a5ba1c01f4e36c4e3a553e215280c40a17ca8993a7008f64","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4820884e477db877a5ba1c01f4e36c4e3a553e215280c40a17ca8993a7008f64","first_computed_at":"2026-05-18T01:53:54.974504Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:53:54.974504Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wFmXRcStWHUQlkblBBYJ6VXJviadmjlNIP0s4f3mKctdXTl54nJenTAoRTPWYIbQ1siuo/DNSd/cAbIyRLisDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:53:54.975231Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.4143","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f25f6401fb42f77755112f33cb3030463e9115169f1e4b201f85d2e27f6a9a78","sha256:f61be4c9857a16bc074b3c686fc887b3fbbc691656b22e02649940563211db5f"],"state_sha256":"1bf9d764766be0023c6744af18235bbff1d6f4007c4b00f87112a6cb90050989"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H9u4qxIqEugWsiCfAnkCrS/p7lLxhc9BknEiMnRUDxtJQQ71OdIpt2CZeJfR5jm9bhYSqaIGXqgWjpRLEmyuAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T23:47:59.815695Z","bundle_sha256":"3758b5550646dcf548fb6b7604f18cfd482a4b4593aa02bb6a5966d8e06be8f0"}}