{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:SSJ5GEMGBVXYTSJ7A5NCHJX5V4","short_pith_number":"pith:SSJ5GEMG","canonical_record":{"source":{"id":"gr-qc/0407091","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2004-07-25T18:22:14Z","cross_cats_sorted":[],"title_canon_sha256":"4ab6ada513d3f726b368156cb8e4bbec9a51b00b6e4cd7e4408c0321ac187aa5","abstract_canon_sha256":"0f03f8be4e4a7fc24d4ee0db7271cee7e4a16af27b539dd4a62205316f87e436"},"schema_version":"1.0"},"canonical_sha256":"9493d311860d6f89c93f075a23a6fdaf3ef63bcb4f5695ef46dff6673c976919","source":{"kind":"arxiv","id":"gr-qc/0407091","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0407091","created_at":"2026-05-18T04:17:52Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0407091v2","created_at":"2026-05-18T04:17:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0407091","created_at":"2026-05-18T04:17:52Z"},{"alias_kind":"pith_short_12","alias_value":"SSJ5GEMGBVXY","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"SSJ5GEMGBVXYTSJ7","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"SSJ5GEMG","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:SSJ5GEMGBVXYTSJ7A5NCHJX5V4","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0407091","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2004-07-25T18:22:14Z","cross_cats_sorted":[],"title_canon_sha256":"4ab6ada513d3f726b368156cb8e4bbec9a51b00b6e4cd7e4408c0321ac187aa5","abstract_canon_sha256":"0f03f8be4e4a7fc24d4ee0db7271cee7e4a16af27b539dd4a62205316f87e436"},"schema_version":"1.0"},"canonical_sha256":"9493d311860d6f89c93f075a23a6fdaf3ef63bcb4f5695ef46dff6673c976919","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:17:52.798118Z","signature_b64":"V1S1u/QfmrEuOrM0YH81Q2eMU3Ins/4Tje6HCcu5DvBgrTnv05BgCiSr0XqxEfsdbt3CD2LcIQBsW6DCVaVxDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9493d311860d6f89c93f075a23a6fdaf3ef63bcb4f5695ef46dff6673c976919","last_reissued_at":"2026-05-18T04:17:52.797600Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:17:52.797600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0407091","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":"2026-05-18T04:17:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mrHQrCevYUFc5vAY7d2mhM8amAZJx1Hd+DCAXPR0KrWaj080rpkKrdjp4CT9ztSFlgu3bcjAedrLL1dMOpL2Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T06:07:12.263578Z"},"content_sha256":"8b76333d7b2e265f04484ee81c57679226d3dbe30368d5d70c44791c7e1180b8","schema_version":"1.0","event_id":"sha256:8b76333d7b2e265f04484ee81c57679226d3dbe30368d5d70c44791c7e1180b8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:SSJ5GEMGBVXYTSJ7A5NCHJX5V4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The dynamics of precessing binary black holes using the post-Newtonian approximation","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Alessandra Buonanno, Michael D. Hartl","submitted_at":"2004-07-25T18:22:14Z","abstract_excerpt":"We investigate the (conservative) dynamics of binary black holes using the Hamiltonian formulation of the post-Newtonian (PN) equations of motion. The Hamiltonian we use includes spin-orbit coupling, spin-spin coupling, and mass monopole/spin-induced quadrupole interaction terms. In the case of both quasi-circular and eccentric orbits, we search for the presence of chaos (using the method of Lyapunov exponents) for a large variety of initial conditions. For quasi-circular orbits, we find no chaotic behavior for black holes with total mass 10 - 40 solar masses when initially at a separation cor"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0407091","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":"2026-05-18T04:17:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HIA3zAG1k+d6sFmW3kavVOjnJIWb4tVLEQeI2fD3CjYdGxxohNXaqpHd335NV34W6wccOcEFum48hIA3u0raDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T06:07:12.264330Z"},"content_sha256":"08386f43a1f8fb3bd572599d77072bea5dd146cf2e74f87550961e38e7b87258","schema_version":"1.0","event_id":"sha256:08386f43a1f8fb3bd572599d77072bea5dd146cf2e74f87550961e38e7b87258"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SSJ5GEMGBVXYTSJ7A5NCHJX5V4/bundle.json","state_url":"https://pith.science/pith/SSJ5GEMGBVXYTSJ7A5NCHJX5V4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SSJ5GEMGBVXYTSJ7A5NCHJX5V4/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":"2026-06-06T06:07:12Z","links":{"resolver":"https://pith.science/pith/SSJ5GEMGBVXYTSJ7A5NCHJX5V4","bundle":"https://pith.science/pith/SSJ5GEMGBVXYTSJ7A5NCHJX5V4/bundle.json","state":"https://pith.science/pith/SSJ5GEMGBVXYTSJ7A5NCHJX5V4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SSJ5GEMGBVXYTSJ7A5NCHJX5V4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:SSJ5GEMGBVXYTSJ7A5NCHJX5V4","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":"0f03f8be4e4a7fc24d4ee0db7271cee7e4a16af27b539dd4a62205316f87e436","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2004-07-25T18:22:14Z","title_canon_sha256":"4ab6ada513d3f726b368156cb8e4bbec9a51b00b6e4cd7e4408c0321ac187aa5"},"schema_version":"1.0","source":{"id":"gr-qc/0407091","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0407091","created_at":"2026-05-18T04:17:52Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0407091v2","created_at":"2026-05-18T04:17:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0407091","created_at":"2026-05-18T04:17:52Z"},{"alias_kind":"pith_short_12","alias_value":"SSJ5GEMGBVXY","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"SSJ5GEMGBVXYTSJ7","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"SSJ5GEMG","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:08386f43a1f8fb3bd572599d77072bea5dd146cf2e74f87550961e38e7b87258","target":"graph","created_at":"2026-05-18T04:17:52Z","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 investigate the (conservative) dynamics of binary black holes using the Hamiltonian formulation of the post-Newtonian (PN) equations of motion. The Hamiltonian we use includes spin-orbit coupling, spin-spin coupling, and mass monopole/spin-induced quadrupole interaction terms. In the case of both quasi-circular and eccentric orbits, we search for the presence of chaos (using the method of Lyapunov exponents) for a large variety of initial conditions. For quasi-circular orbits, we find no chaotic behavior for black holes with total mass 10 - 40 solar masses when initially at a separation cor","authors_text":"Alessandra Buonanno, Michael D. Hartl","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2004-07-25T18:22:14Z","title":"The dynamics of precessing binary black holes using the post-Newtonian approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0407091","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":"sha256:8b76333d7b2e265f04484ee81c57679226d3dbe30368d5d70c44791c7e1180b8","target":"record","created_at":"2026-05-18T04:17:52Z","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":"0f03f8be4e4a7fc24d4ee0db7271cee7e4a16af27b539dd4a62205316f87e436","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2004-07-25T18:22:14Z","title_canon_sha256":"4ab6ada513d3f726b368156cb8e4bbec9a51b00b6e4cd7e4408c0321ac187aa5"},"schema_version":"1.0","source":{"id":"gr-qc/0407091","kind":"arxiv","version":2}},"canonical_sha256":"9493d311860d6f89c93f075a23a6fdaf3ef63bcb4f5695ef46dff6673c976919","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9493d311860d6f89c93f075a23a6fdaf3ef63bcb4f5695ef46dff6673c976919","first_computed_at":"2026-05-18T04:17:52.797600Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:17:52.797600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V1S1u/QfmrEuOrM0YH81Q2eMU3Ins/4Tje6HCcu5DvBgrTnv05BgCiSr0XqxEfsdbt3CD2LcIQBsW6DCVaVxDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:17:52.798118Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0407091","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b76333d7b2e265f04484ee81c57679226d3dbe30368d5d70c44791c7e1180b8","sha256:08386f43a1f8fb3bd572599d77072bea5dd146cf2e74f87550961e38e7b87258"],"state_sha256":"d786fec98f9dbde6b6e7b17247046f4b72ffe8c80a9a21288d130ad917598ac8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u+cr9OXSL0t/aTJg3xL+tbRiZyxkd0Ch1mXhB3EsL1fYAtw93rDkaQMs+uLRZeD+gWXdq3O7dF6GIslR9V5YCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T06:07:12.270334Z","bundle_sha256":"44013c19867505a47a80307c8be2861f163367725818601801f7894932ade05c"}}