{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:5GHNJJQNWN5CSME4O4YUDXP2VL","short_pith_number":"pith:5GHNJJQN","schema_version":"1.0","canonical_sha256":"e98ed4a60db37a29309c773141ddfaaafad3b45bfb04eb36dfbaecf74404f37f","source":{"kind":"arxiv","id":"2005.03071","version":1},"attestation_state":"computed","paper":{"title":"Spinning Black Hole Binary Dynamics, Scattering Amplitudes and Effective Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Andres Luna, Chia-Hsien Shen, Mao Zeng, Radu Roiban, Zvi Bern","submitted_at":"2020-05-06T18:54:42Z","abstract_excerpt":"We describe a systematic framework for finding the conservative potential of compact binary systems with spin based on scattering amplitudes of particles of arbitrary spin and effective field theory. An arbitrary-spin formalism is generally required in the classical limit. By matching the tree and one-loop amplitudes of four spinning particles with those of a suitably-chosen effective field theory, we obtain the spin1-spin2 terms of a two-body effective Hamiltonian through O(G^2) and valid to all orders in velocity. Solving Hamilton's equations yields the impulse and spin changes of the indivi"},"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":"2005.03071","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-05-06T18:54:42Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"a43fe925946ad1b85a9f08a98f8c19015482f08233dbb3f68fd4acfb3bab9898","abstract_canon_sha256":"d619fdb23803e4274da0f974d0fc185a59d5944c674f623c8347065725e55d8e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:16:04.375981Z","signature_b64":"FEjWbjBR2ilKaMm18Rt+v/TwBEcecEgcLw4UCADPAdDsPXvZV5mSiZNdEULQIowGtVaUTV6OnF7n1P8or3WcDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e98ed4a60db37a29309c773141ddfaaafad3b45bfb04eb36dfbaecf74404f37f","last_reissued_at":"2026-07-05T03:16:04.375494Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:16:04.375494Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spinning Black Hole Binary Dynamics, Scattering Amplitudes and Effective Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Andres Luna, Chia-Hsien Shen, Mao Zeng, Radu Roiban, Zvi Bern","submitted_at":"2020-05-06T18:54:42Z","abstract_excerpt":"We describe a systematic framework for finding the conservative potential of compact binary systems with spin based on scattering amplitudes of particles of arbitrary spin and effective field theory. An arbitrary-spin formalism is generally required in the classical limit. By matching the tree and one-loop amplitudes of four spinning particles with those of a suitably-chosen effective field theory, we obtain the spin1-spin2 terms of a two-body effective Hamiltonian through O(G^2) and valid to all orders in velocity. Solving Hamilton's equations yields the impulse and spin changes of the indivi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.03071","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2005.03071/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":"2005.03071","created_at":"2026-07-05T03:16:04.375569+00:00"},{"alias_kind":"arxiv_version","alias_value":"2005.03071v1","created_at":"2026-07-05T03:16:04.375569+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.03071","created_at":"2026-07-05T03:16:04.375569+00:00"},{"alias_kind":"pith_short_12","alias_value":"5GHNJJQNWN5C","created_at":"2026-07-05T03:16:04.375569+00:00"},{"alias_kind":"pith_short_16","alias_value":"5GHNJJQNWN5CSME4","created_at":"2026-07-05T03:16:04.375569+00:00"},{"alias_kind":"pith_short_8","alias_value":"5GHNJJQN","created_at":"2026-07-05T03:16:04.375569+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":10,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.24432","citing_title":"Binary black hole scattering with generic spins","ref_index":42,"is_internal_anchor":false},{"citing_arxiv_id":"2606.05978","citing_title":"Lecture notes: Introduction to the Off-shell Double Copy Program","ref_index":22,"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":10,"is_internal_anchor":false},{"citing_arxiv_id":"2504.07862","citing_title":"Resummation of Universal Tails in Gravitational Waveforms","ref_index":28,"is_internal_anchor":false},{"citing_arxiv_id":"2508.10761","citing_title":"Unexpected Symmetries of Kerr Black Hole Scattering","ref_index":48,"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":88,"is_internal_anchor":false},{"citing_arxiv_id":"2602.06947","citing_title":"The gravitational Compton amplitude at third post-Minkowskian order","ref_index":21,"is_internal_anchor":false},{"citing_arxiv_id":"2602.18790","citing_title":"Generalized Carter & R\\\"udiger Constants of $\\sqrt{\\text{Kerr}}$","ref_index":77,"is_internal_anchor":false},{"citing_arxiv_id":"2605.05067","citing_title":"Gravitational multipoles from scattering amplitudes in higher dimensions","ref_index":20,"is_internal_anchor":false},{"citing_arxiv_id":"2604.06062","citing_title":"$\\xi R\\phi^2$ non-minimal coupling, and the long range gravitational potential for different spin fields from 2-2 scattering amplitudes","ref_index":59,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5GHNJJQNWN5CSME4O4YUDXP2VL","json":"https://pith.science/pith/5GHNJJQNWN5CSME4O4YUDXP2VL.json","graph_json":"https://pith.science/api/pith-number/5GHNJJQNWN5CSME4O4YUDXP2VL/graph.json","events_json":"https://pith.science/api/pith-number/5GHNJJQNWN5CSME4O4YUDXP2VL/events.json","paper":"https://pith.science/paper/5GHNJJQN"},"agent_actions":{"view_html":"https://pith.science/pith/5GHNJJQNWN5CSME4O4YUDXP2VL","download_json":"https://pith.science/pith/5GHNJJQNWN5CSME4O4YUDXP2VL.json","view_paper":"https://pith.science/paper/5GHNJJQN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2005.03071&json=true","fetch_graph":"https://pith.science/api/pith-number/5GHNJJQNWN5CSME4O4YUDXP2VL/graph.json","fetch_events":"https://pith.science/api/pith-number/5GHNJJQNWN5CSME4O4YUDXP2VL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5GHNJJQNWN5CSME4O4YUDXP2VL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5GHNJJQNWN5CSME4O4YUDXP2VL/action/storage_attestation","attest_author":"https://pith.science/pith/5GHNJJQNWN5CSME4O4YUDXP2VL/action/author_attestation","sign_citation":"https://pith.science/pith/5GHNJJQNWN5CSME4O4YUDXP2VL/action/citation_signature","submit_replication":"https://pith.science/pith/5GHNJJQNWN5CSME4O4YUDXP2VL/action/replication_record"}},"created_at":"2026-07-05T03:16:04.375569+00:00","updated_at":"2026-07-05T03:16:04.375569+00:00"}