{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:Y2BYVYY4DCCOMKVYC4AJBLQTZ7","short_pith_number":"pith:Y2BYVYY4","schema_version":"1.0","canonical_sha256":"c6838ae31c1884e62ab8170090ae13cff9394e7be7202d7d02942fa64cca1a24","source":{"kind":"arxiv","id":"2403.04853","version":2},"attestation_state":"computed","paper":{"title":"Local-in-time Conservative Binary Dynamics at Fourth Post-Minkowskian Order","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Christoph Dlapa, Gregor K\\\"alin, Rafael A. Porto, Zhengwen Liu","submitted_at":"2024-03-07T19:07:49Z","abstract_excerpt":"Leveraging scattering information to describe binary systems in generic orbits requires identifying local- and nonlocal-in-time tail effects. We report here the derivation of the universal (non-spinning) local-in-time conservative dynamics at fourth Post-Minkowskian order, i.e. ${\\cal O}(G^4)$. This is achieved by computing the nonlocal-in-time contribution to the deflection angle, and removing it from the full conservative value in [2112.11296,2210.05541]. Unlike the total result, the integration problem involves two scales, velocity and mass ratio, and features multiple polylogarithms, compl"},"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":"2403.04853","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-03-07T19:07:49Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"7cc9448a502aecffa85bc96743a437d8d04b2b1bbf54d90edc5dbaa237f351c9","abstract_canon_sha256":"441f347c3e4db06798a33818d0796d697dc497108a3a76f70f68a7243edcb755"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:15:46.122232Z","signature_b64":"THzyUYJoy8tljrr/Uv01PD+MN5/fYsgdt2tapl/U/zly57GD2PPN6lsFJgh1jYIvwqiz4GA4s1/CvtRthfOSCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6838ae31c1884e62ab8170090ae13cff9394e7be7202d7d02942fa64cca1a24","last_reissued_at":"2026-07-05T08:15:46.121814Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:15:46.121814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Local-in-time Conservative Binary Dynamics at Fourth Post-Minkowskian Order","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Christoph Dlapa, Gregor K\\\"alin, Rafael A. Porto, Zhengwen Liu","submitted_at":"2024-03-07T19:07:49Z","abstract_excerpt":"Leveraging scattering information to describe binary systems in generic orbits requires identifying local- and nonlocal-in-time tail effects. We report here the derivation of the universal (non-spinning) local-in-time conservative dynamics at fourth Post-Minkowskian order, i.e. ${\\cal O}(G^4)$. This is achieved by computing the nonlocal-in-time contribution to the deflection angle, and removing it from the full conservative value in [2112.11296,2210.05541]. Unlike the total result, the integration problem involves two scales, velocity and mass ratio, and features multiple polylogarithms, compl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.04853","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/2403.04853/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":"2403.04853","created_at":"2026-07-05T08:15:46.121868+00:00"},{"alias_kind":"arxiv_version","alias_value":"2403.04853v2","created_at":"2026-07-05T08:15:46.121868+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.04853","created_at":"2026-07-05T08:15:46.121868+00:00"},{"alias_kind":"pith_short_12","alias_value":"Y2BYVYY4DCCO","created_at":"2026-07-05T08:15:46.121868+00:00"},{"alias_kind":"pith_short_16","alias_value":"Y2BYVYY4DCCOMKVY","created_at":"2026-07-05T08:15:46.121868+00:00"},{"alias_kind":"pith_short_8","alias_value":"Y2BYVYY4","created_at":"2026-07-05T08:15:46.121868+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":6,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2509.04425","citing_title":"Hidden simplicity in the scattering for neutron stars and black holes","ref_index":31,"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":122,"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":62,"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":63,"is_internal_anchor":false},{"citing_arxiv_id":"2604.09545","citing_title":"Black Hole Dynamics at Fifth Post-Newtonian Order","ref_index":44,"is_internal_anchor":false},{"citing_arxiv_id":"2503.12263","citing_title":"The Science of the Einstein Telescope","ref_index":235,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Y2BYVYY4DCCOMKVYC4AJBLQTZ7","json":"https://pith.science/pith/Y2BYVYY4DCCOMKVYC4AJBLQTZ7.json","graph_json":"https://pith.science/api/pith-number/Y2BYVYY4DCCOMKVYC4AJBLQTZ7/graph.json","events_json":"https://pith.science/api/pith-number/Y2BYVYY4DCCOMKVYC4AJBLQTZ7/events.json","paper":"https://pith.science/paper/Y2BYVYY4"},"agent_actions":{"view_html":"https://pith.science/pith/Y2BYVYY4DCCOMKVYC4AJBLQTZ7","download_json":"https://pith.science/pith/Y2BYVYY4DCCOMKVYC4AJBLQTZ7.json","view_paper":"https://pith.science/paper/Y2BYVYY4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2403.04853&json=true","fetch_graph":"https://pith.science/api/pith-number/Y2BYVYY4DCCOMKVYC4AJBLQTZ7/graph.json","fetch_events":"https://pith.science/api/pith-number/Y2BYVYY4DCCOMKVYC4AJBLQTZ7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Y2BYVYY4DCCOMKVYC4AJBLQTZ7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Y2BYVYY4DCCOMKVYC4AJBLQTZ7/action/storage_attestation","attest_author":"https://pith.science/pith/Y2BYVYY4DCCOMKVYC4AJBLQTZ7/action/author_attestation","sign_citation":"https://pith.science/pith/Y2BYVYY4DCCOMKVYC4AJBLQTZ7/action/citation_signature","submit_replication":"https://pith.science/pith/Y2BYVYY4DCCOMKVYC4AJBLQTZ7/action/replication_record"}},"created_at":"2026-07-05T08:15:46.121868+00:00","updated_at":"2026-07-05T08:15:46.121868+00:00"}