{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:3Y7OIXD2VJTNGFV2XMOX7H46GZ","short_pith_number":"pith:3Y7OIXD2","schema_version":"1.0","canonical_sha256":"de3ee45c7aaa66d316babb1d7f9f9e36634dc3d8067e0bea3d62810699cd423c","source":{"kind":"arxiv","id":"1910.09366","version":2},"attestation_state":"computed","paper":{"title":"Post-Minkowskian Scattering Angle in Einstein Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Andrea Cristofoli, N. E. J. Bjerrum-Bohr, Poul H. Damgaard","submitted_at":"2019-10-21T13:36:08Z","abstract_excerpt":"Using the implicit function theorem we demonstrate that solutions to the classical part of the relativistic Lippmann-Schwinger equation are in one-to-one correspondence with those of the energy equation of a relativistic two-body system. A corollary is that the scattering angle can be computed from the amplitude itself, without having to introduce a potential. All results are universal and provide for the case of general relativity a very simple formula for the scattering angle in terms of the classical part of the amplitude, to any order in the post-Minkowskian expansion."},"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":"1910.09366","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-10-21T13:36:08Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"56ca2810156a244982b66fca8e3920aed2fbd9752f68164b7bf5c1e3eb92dced","abstract_canon_sha256":"b230bc647bbab4e6799c656db7f7f38a98e0462c547f14fd8d230b4ec9f685ab"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:29:42.827755Z","signature_b64":"L+DTaqbDYgt9FtZwAH1ei7c3qq875IDiI8nK8/9SKXlXaHlmxgcU0vWw1pDW9nFy7wCYMP6EDgtnhWJUvGXYBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de3ee45c7aaa66d316babb1d7f9f9e36634dc3d8067e0bea3d62810699cd423c","last_reissued_at":"2026-07-05T01:29:42.827356Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:29:42.827356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Post-Minkowskian Scattering Angle in Einstein Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Andrea Cristofoli, N. E. J. Bjerrum-Bohr, Poul H. Damgaard","submitted_at":"2019-10-21T13:36:08Z","abstract_excerpt":"Using the implicit function theorem we demonstrate that solutions to the classical part of the relativistic Lippmann-Schwinger equation are in one-to-one correspondence with those of the energy equation of a relativistic two-body system. A corollary is that the scattering angle can be computed from the amplitude itself, without having to introduce a potential. All results are universal and provide for the case of general relativity a very simple formula for the scattering angle in terms of the classical part of the amplitude, to any order in the post-Minkowskian expansion."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.09366","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1910.09366/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":"1910.09366","created_at":"2026-07-05T01:29:42.827417+00:00"},{"alias_kind":"arxiv_version","alias_value":"1910.09366v2","created_at":"2026-07-05T01:29:42.827417+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.09366","created_at":"2026-07-05T01:29:42.827417+00:00"},{"alias_kind":"pith_short_12","alias_value":"3Y7OIXD2VJTN","created_at":"2026-07-05T01:29:42.827417+00:00"},{"alias_kind":"pith_short_16","alias_value":"3Y7OIXD2VJTNGFV2","created_at":"2026-07-05T01:29:42.827417+00:00"},{"alias_kind":"pith_short_8","alias_value":"3Y7OIXD2","created_at":"2026-07-05T01:29:42.827417+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"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":116,"is_internal_anchor":false},{"citing_arxiv_id":"2508.10761","citing_title":"Unexpected Symmetries of Kerr Black Hole Scattering","ref_index":18,"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":102,"is_internal_anchor":false},{"citing_arxiv_id":"2601.08252","citing_title":"Resumming Scattering Amplitudes for Waveforms","ref_index":79,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3Y7OIXD2VJTNGFV2XMOX7H46GZ","json":"https://pith.science/pith/3Y7OIXD2VJTNGFV2XMOX7H46GZ.json","graph_json":"https://pith.science/api/pith-number/3Y7OIXD2VJTNGFV2XMOX7H46GZ/graph.json","events_json":"https://pith.science/api/pith-number/3Y7OIXD2VJTNGFV2XMOX7H46GZ/events.json","paper":"https://pith.science/paper/3Y7OIXD2"},"agent_actions":{"view_html":"https://pith.science/pith/3Y7OIXD2VJTNGFV2XMOX7H46GZ","download_json":"https://pith.science/pith/3Y7OIXD2VJTNGFV2XMOX7H46GZ.json","view_paper":"https://pith.science/paper/3Y7OIXD2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1910.09366&json=true","fetch_graph":"https://pith.science/api/pith-number/3Y7OIXD2VJTNGFV2XMOX7H46GZ/graph.json","fetch_events":"https://pith.science/api/pith-number/3Y7OIXD2VJTNGFV2XMOX7H46GZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3Y7OIXD2VJTNGFV2XMOX7H46GZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3Y7OIXD2VJTNGFV2XMOX7H46GZ/action/storage_attestation","attest_author":"https://pith.science/pith/3Y7OIXD2VJTNGFV2XMOX7H46GZ/action/author_attestation","sign_citation":"https://pith.science/pith/3Y7OIXD2VJTNGFV2XMOX7H46GZ/action/citation_signature","submit_replication":"https://pith.science/pith/3Y7OIXD2VJTNGFV2XMOX7H46GZ/action/replication_record"}},"created_at":"2026-07-05T01:29:42.827417+00:00","updated_at":"2026-07-05T01:29:42.827417+00:00"}