{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:UPEJEAV3TM4YYPUOBBAV57VKZZ","short_pith_number":"pith:UPEJEAV3","schema_version":"1.0","canonical_sha256":"a3c89202bb9b398c3e8e08415efeaace57c424f85748fc47f43908f25e31ec4f","source":{"kind":"arxiv","id":"1911.09130","version":2},"attestation_state":"computed","paper":{"title":"From Boundary Data to Bound States II: Scattering Angle to Dynamical Invariants (with Twist)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Gregor K\\\"alin, Rafael A. Porto","submitted_at":"2019-11-20T19:01:26Z","abstract_excerpt":"We recently introduced in [1910.03008] a \"boundary-to-bound\" dictionary between gravitational scattering data and observables for bound states of non-spinning bodies. In this paper, we elaborate further on this (holographic) map. We start by deriving the following -- remarkably simple -- formula relating the periastron advance to the scattering angle: $\\Delta \\Phi(J,{\\cal E}) =\\chi(J,{\\cal E}) + \\chi (-J,{\\cal E})$, via analytic continuation in angular momentum and binding energy. Using explicit expressions from [1910.03008], we confirm its validity to all orders in the Post-Minkowskian (PM) e"},"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":"1911.09130","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-11-20T19:01:26Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"4c189a721a8903557dd6ff321e502633da7179723b3888a82f75db5c5ac020b5","abstract_canon_sha256":"0556472dca5ef22d0173e5e85d6d9066e832f6eaea81685dabee0b69381a0f3b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:07:11.995386Z","signature_b64":"Ge6RMLOAQC6hcRhLQdx0YYWrIYrrmP6Xm9fbrhvoflOUupk/LAqe3bPmhbJ3h4v8waHjCE8z8v8iC9x3GppVAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a3c89202bb9b398c3e8e08415efeaace57c424f85748fc47f43908f25e31ec4f","last_reissued_at":"2026-07-05T01:07:11.994845Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:07:11.994845Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"From Boundary Data to Bound States II: Scattering Angle to Dynamical Invariants (with Twist)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Gregor K\\\"alin, Rafael A. Porto","submitted_at":"2019-11-20T19:01:26Z","abstract_excerpt":"We recently introduced in [1910.03008] a \"boundary-to-bound\" dictionary between gravitational scattering data and observables for bound states of non-spinning bodies. In this paper, we elaborate further on this (holographic) map. We start by deriving the following -- remarkably simple -- formula relating the periastron advance to the scattering angle: $\\Delta \\Phi(J,{\\cal E}) =\\chi(J,{\\cal E}) + \\chi (-J,{\\cal E})$, via analytic continuation in angular momentum and binding energy. Using explicit expressions from [1910.03008], we confirm its validity to all orders in the Post-Minkowskian (PM) e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.09130","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/1911.09130/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":"1911.09130","created_at":"2026-07-05T01:07:11.994921+00:00"},{"alias_kind":"arxiv_version","alias_value":"1911.09130v2","created_at":"2026-07-05T01:07:11.994921+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.09130","created_at":"2026-07-05T01:07:11.994921+00:00"},{"alias_kind":"pith_short_12","alias_value":"UPEJEAV3TM4Y","created_at":"2026-07-05T01:07:11.994921+00:00"},{"alias_kind":"pith_short_16","alias_value":"UPEJEAV3TM4YYPUO","created_at":"2026-07-05T01:07:11.994921+00:00"},{"alias_kind":"pith_short_8","alias_value":"UPEJEAV3","created_at":"2026-07-05T01:07:11.994921+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":11,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.24432","citing_title":"Binary black hole scattering with generic spins","ref_index":91,"is_internal_anchor":false},{"citing_arxiv_id":"2606.26339","citing_title":"Time-domain framework for the Teukolsky equation with a particle source using comoving hyperboloidal coordinates","ref_index":7,"is_internal_anchor":false},{"citing_arxiv_id":"2606.23450","citing_title":"NLO Angular Impulse and Leading Singularities to all orders in spin for Kerr Black Holes","ref_index":111,"is_internal_anchor":false},{"citing_arxiv_id":"2606.11423","citing_title":"Weak-field waveforms for generic relativistic orbits","ref_index":95,"is_internal_anchor":false},{"citing_arxiv_id":"2606.05978","citing_title":"Lecture notes: Introduction to the Off-shell Double Copy Program","ref_index":33,"is_internal_anchor":false},{"citing_arxiv_id":"2508.10761","citing_title":"Unexpected Symmetries of Kerr Black Hole Scattering","ref_index":113,"is_internal_anchor":false},{"citing_arxiv_id":"2512.02274","citing_title":"Gravitational radiation from hyperbolic orbits: comparison between self-force, post-Minkowskian, post-Newtonian, and numerical relativity results","ref_index":51,"is_internal_anchor":false},{"citing_arxiv_id":"2602.06947","citing_title":"The gravitational Compton amplitude at third post-Minkowskian order","ref_index":61,"is_internal_anchor":false},{"citing_arxiv_id":"2604.25916","citing_title":"Nonlocal-in-time tail effects in gravitational scattering to fifth Post-Minkowskian and tenth self-force orders","ref_index":37,"is_internal_anchor":false},{"citing_arxiv_id":"2604.09545","citing_title":"Black Hole Dynamics at Fifth Post-Newtonian Order","ref_index":42,"is_internal_anchor":false},{"citing_arxiv_id":"2503.12263","citing_title":"The Science of the Einstein Telescope","ref_index":250,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UPEJEAV3TM4YYPUOBBAV57VKZZ","json":"https://pith.science/pith/UPEJEAV3TM4YYPUOBBAV57VKZZ.json","graph_json":"https://pith.science/api/pith-number/UPEJEAV3TM4YYPUOBBAV57VKZZ/graph.json","events_json":"https://pith.science/api/pith-number/UPEJEAV3TM4YYPUOBBAV57VKZZ/events.json","paper":"https://pith.science/paper/UPEJEAV3"},"agent_actions":{"view_html":"https://pith.science/pith/UPEJEAV3TM4YYPUOBBAV57VKZZ","download_json":"https://pith.science/pith/UPEJEAV3TM4YYPUOBBAV57VKZZ.json","view_paper":"https://pith.science/paper/UPEJEAV3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1911.09130&json=true","fetch_graph":"https://pith.science/api/pith-number/UPEJEAV3TM4YYPUOBBAV57VKZZ/graph.json","fetch_events":"https://pith.science/api/pith-number/UPEJEAV3TM4YYPUOBBAV57VKZZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UPEJEAV3TM4YYPUOBBAV57VKZZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UPEJEAV3TM4YYPUOBBAV57VKZZ/action/storage_attestation","attest_author":"https://pith.science/pith/UPEJEAV3TM4YYPUOBBAV57VKZZ/action/author_attestation","sign_citation":"https://pith.science/pith/UPEJEAV3TM4YYPUOBBAV57VKZZ/action/citation_signature","submit_replication":"https://pith.science/pith/UPEJEAV3TM4YYPUOBBAV57VKZZ/action/replication_record"}},"created_at":"2026-07-05T01:07:11.994921+00:00","updated_at":"2026-07-05T01:07:11.994921+00:00"}