{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:2SWVXIRL37A2K4PTYKOVKBQ74W","short_pith_number":"pith:2SWVXIRL","schema_version":"1.0","canonical_sha256":"d4ad5ba22bdfc1a571f3c29d55061fe5894fef8d939b027a11455f80c1285f68","source":{"kind":"arxiv","id":"2203.06202","version":3},"attestation_state":"computed","paper":{"title":"Binary Dynamics Through the Fifth Power of Spin at $\\mathcal{O}(G^2)$","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Andr\\'es Luna, Dimitrios Kosmopoulos, Fei Teng, Radu Roiban, Zvi Bern","submitted_at":"2022-03-11T19:00:10Z","abstract_excerpt":"We use a previously developed scattering-amplitudes-based framework for determining two-body Hamiltonians for generic binary systems with arbitrary spin $S$. By construction this formalism bypasses difficulties with unphysical singularities or higher-time derivatives. This framework has been previously used to obtain the exact velocity dependence of the $\\mathcal O(G^2)$ quadratic-in-spin two-body Hamiltonian. We first evaluate the $S^3$ scattering angle and two-body Hamiltonian at this order in $G$, including not only all operators corresponding to the usual worldline operators, but also an a"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2203.06202","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-03-11T19:00:10Z","cross_cats_sorted":[],"title_canon_sha256":"834f308c7d8dd422eb8fc29984efb5f1348626f7aa8e735fb6ecdfd7c479d022","abstract_canon_sha256":"f8e3c97d069c4f09533c209ff908b1dea27c5164a00a3be39d03124186360a87"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:15:12.325106Z","signature_b64":"+tr9AOoUmeCvqR1nPY79iXokqqSPew4MQeAKib/JE5smcB9EsQufbLMiZqvSrXdasPOiYEca18jGHQ8t/0hyBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d4ad5ba22bdfc1a571f3c29d55061fe5894fef8d939b027a11455f80c1285f68","last_reissued_at":"2026-07-05T06:15:12.324513Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:15:12.324513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Binary Dynamics Through the Fifth Power of Spin at $\\mathcal{O}(G^2)$","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Andr\\'es Luna, Dimitrios Kosmopoulos, Fei Teng, Radu Roiban, Zvi Bern","submitted_at":"2022-03-11T19:00:10Z","abstract_excerpt":"We use a previously developed scattering-amplitudes-based framework for determining two-body Hamiltonians for generic binary systems with arbitrary spin $S$. By construction this formalism bypasses difficulties with unphysical singularities or higher-time derivatives. This framework has been previously used to obtain the exact velocity dependence of the $\\mathcal O(G^2)$ quadratic-in-spin two-body Hamiltonian. We first evaluate the $S^3$ scattering angle and two-body Hamiltonian at this order in $G$, including not only all operators corresponding to the usual worldline operators, but also an a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.06202","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2203.06202/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2203.06202","created_at":"2026-07-05T06:15:12.324589+00:00"},{"alias_kind":"arxiv_version","alias_value":"2203.06202v3","created_at":"2026-07-05T06:15:12.324589+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.06202","created_at":"2026-07-05T06:15:12.324589+00:00"},{"alias_kind":"pith_short_12","alias_value":"2SWVXIRL37A2","created_at":"2026-07-05T06:15:12.324589+00:00"},{"alias_kind":"pith_short_16","alias_value":"2SWVXIRL37A2K4PT","created_at":"2026-07-05T06:15:12.324589+00:00"},{"alias_kind":"pith_short_8","alias_value":"2SWVXIRL","created_at":"2026-07-05T06:15:12.324589+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":10,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.23450","citing_title":"NLO Angular Impulse and Leading Singularities to all orders in spin for Kerr Black Holes","ref_index":55,"is_internal_anchor":false},{"citing_arxiv_id":"2606.27544","citing_title":"Gravitational wave scattering at $\\mathcal{O}(G^4)$: Murua construction and elliptics","ref_index":19,"is_internal_anchor":false},{"citing_arxiv_id":"2508.10761","citing_title":"Unexpected Symmetries of Kerr Black Hole Scattering","ref_index":53,"is_internal_anchor":false},{"citing_arxiv_id":"2509.04425","citing_title":"Hidden simplicity in the scattering for neutron stars and black holes","ref_index":69,"is_internal_anchor":false},{"citing_arxiv_id":"2510.07390","citing_title":"Heterotic Footprints in Classical Gravity: PM dynamics from On-Shell soft amplitudes at one loop","ref_index":91,"is_internal_anchor":false},{"citing_arxiv_id":"2602.06947","citing_title":"The gravitational Compton amplitude at third post-Minkowskian order","ref_index":42,"is_internal_anchor":false},{"citing_arxiv_id":"2602.18790","citing_title":"Generalized Carter & R\\\"udiger Constants of $\\sqrt{\\text{Kerr}}$","ref_index":92,"is_internal_anchor":false},{"citing_arxiv_id":"2605.05067","citing_title":"Gravitational multipoles from scattering amplitudes in higher dimensions","ref_index":27,"is_internal_anchor":false},{"citing_arxiv_id":"2604.22009","citing_title":"Black Hole Response Theory and its Exact Shockwave Limit","ref_index":72,"is_internal_anchor":false},{"citing_arxiv_id":"2604.14134","citing_title":"All-order structure of static gravitational interactions and the seventh post-Newtonian potential","ref_index":44,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2SWVXIRL37A2K4PTYKOVKBQ74W","json":"https://pith.science/pith/2SWVXIRL37A2K4PTYKOVKBQ74W.json","graph_json":"https://pith.science/api/pith-number/2SWVXIRL37A2K4PTYKOVKBQ74W/graph.json","events_json":"https://pith.science/api/pith-number/2SWVXIRL37A2K4PTYKOVKBQ74W/events.json","paper":"https://pith.science/paper/2SWVXIRL"},"agent_actions":{"view_html":"https://pith.science/pith/2SWVXIRL37A2K4PTYKOVKBQ74W","download_json":"https://pith.science/pith/2SWVXIRL37A2K4PTYKOVKBQ74W.json","view_paper":"https://pith.science/paper/2SWVXIRL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2203.06202&json=true","fetch_graph":"https://pith.science/api/pith-number/2SWVXIRL37A2K4PTYKOVKBQ74W/graph.json","fetch_events":"https://pith.science/api/pith-number/2SWVXIRL37A2K4PTYKOVKBQ74W/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2SWVXIRL37A2K4PTYKOVKBQ74W/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2SWVXIRL37A2K4PTYKOVKBQ74W/action/storage_attestation","attest_author":"https://pith.science/pith/2SWVXIRL37A2K4PTYKOVKBQ74W/action/author_attestation","sign_citation":"https://pith.science/pith/2SWVXIRL37A2K4PTYKOVKBQ74W/action/citation_signature","submit_replication":"https://pith.science/pith/2SWVXIRL37A2K4PTYKOVKBQ74W/action/replication_record"}},"created_at":"2026-07-05T06:15:12.324589+00:00","updated_at":"2026-07-05T06:15:12.324589+00:00"}