{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:OJWHO5HUQNJYBT7DATYCDFPWOX","short_pith_number":"pith:OJWHO5HU","schema_version":"1.0","canonical_sha256":"726c7774f4835380cfe304f02195f675fdf42bef46c142d3489495b5a694ec05","source":{"kind":"arxiv","id":"2409.15577","version":1},"attestation_state":"computed","paper":{"title":"Partial-wave projection of relativistic three-body amplitudes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-lat","hep-th","nucl-th"],"primary_cat":"hep-ph","authors_text":"Andrew W. Jackura, Caroline S. R. Costa, Ra\\'ul A. Brice\\~no","submitted_at":"2024-09-23T22:25:05Z","abstract_excerpt":"We derive the integral equations for partial-wave projected three-body scattering amplitudes, starting from the integral equations for three-body amplitudes developed for lattice QCD analyses. The results, which hold for generic three-body systems of spinless particles, build upon the recently derived partial-wave projected one-particle exchange, a primary component of the relativistic framework proven to satisfy S matrix unitarity. We derive simplified expressions for factorizable short-distance interactions, $\\mathcal{K}_{3}$, in two equivalent formalisms - one symmetric under particle inter"},"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":"2409.15577","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-09-23T22:25:05Z","cross_cats_sorted":["hep-lat","hep-th","nucl-th"],"title_canon_sha256":"32b6a93b3e86b13564d595fa18e8be4ba3854fe8abe76775a4e1eb589a3a86a5","abstract_canon_sha256":"583758d9eab95a53b768f090b2d4b09fd789cc1b592868ed5cc2ab2547b9359c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:10:56.893344Z","signature_b64":"vU0UwxUT/TTwa8LQ1jQGYscFcIXf45Ohn/jHcH4vnRWj0YIYKc2lxMVRZuebkjv4Kb0qy/tGQCErMKpTngXdAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"726c7774f4835380cfe304f02195f675fdf42bef46c142d3489495b5a694ec05","last_reissued_at":"2026-07-05T09:10:56.892955Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:10:56.892955Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Partial-wave projection of relativistic three-body amplitudes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-lat","hep-th","nucl-th"],"primary_cat":"hep-ph","authors_text":"Andrew W. Jackura, Caroline S. R. Costa, Ra\\'ul A. Brice\\~no","submitted_at":"2024-09-23T22:25:05Z","abstract_excerpt":"We derive the integral equations for partial-wave projected three-body scattering amplitudes, starting from the integral equations for three-body amplitudes developed for lattice QCD analyses. The results, which hold for generic three-body systems of spinless particles, build upon the recently derived partial-wave projected one-particle exchange, a primary component of the relativistic framework proven to satisfy S matrix unitarity. We derive simplified expressions for factorizable short-distance interactions, $\\mathcal{K}_{3}$, in two equivalent formalisms - one symmetric under particle inter"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.15577","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/2409.15577/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":"2409.15577","created_at":"2026-07-05T09:10:56.893012+00:00"},{"alias_kind":"arxiv_version","alias_value":"2409.15577v1","created_at":"2026-07-05T09:10:56.893012+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.15577","created_at":"2026-07-05T09:10:56.893012+00:00"},{"alias_kind":"pith_short_12","alias_value":"OJWHO5HUQNJY","created_at":"2026-07-05T09:10:56.893012+00:00"},{"alias_kind":"pith_short_16","alias_value":"OJWHO5HUQNJYBT7D","created_at":"2026-07-05T09:10:56.893012+00:00"},{"alias_kind":"pith_short_8","alias_value":"OJWHO5HU","created_at":"2026-07-05T09:10:56.893012+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2502.04232","citing_title":"$D_1$ and $D_2$ resonances in coupled-channel scattering amplitudes from lattice QCD","ref_index":71,"is_internal_anchor":false},{"citing_arxiv_id":"2605.22805","citing_title":"Two bodies left behind","ref_index":39,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OJWHO5HUQNJYBT7DATYCDFPWOX","json":"https://pith.science/pith/OJWHO5HUQNJYBT7DATYCDFPWOX.json","graph_json":"https://pith.science/api/pith-number/OJWHO5HUQNJYBT7DATYCDFPWOX/graph.json","events_json":"https://pith.science/api/pith-number/OJWHO5HUQNJYBT7DATYCDFPWOX/events.json","paper":"https://pith.science/paper/OJWHO5HU"},"agent_actions":{"view_html":"https://pith.science/pith/OJWHO5HUQNJYBT7DATYCDFPWOX","download_json":"https://pith.science/pith/OJWHO5HUQNJYBT7DATYCDFPWOX.json","view_paper":"https://pith.science/paper/OJWHO5HU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2409.15577&json=true","fetch_graph":"https://pith.science/api/pith-number/OJWHO5HUQNJYBT7DATYCDFPWOX/graph.json","fetch_events":"https://pith.science/api/pith-number/OJWHO5HUQNJYBT7DATYCDFPWOX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OJWHO5HUQNJYBT7DATYCDFPWOX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OJWHO5HUQNJYBT7DATYCDFPWOX/action/storage_attestation","attest_author":"https://pith.science/pith/OJWHO5HUQNJYBT7DATYCDFPWOX/action/author_attestation","sign_citation":"https://pith.science/pith/OJWHO5HUQNJYBT7DATYCDFPWOX/action/citation_signature","submit_replication":"https://pith.science/pith/OJWHO5HUQNJYBT7DATYCDFPWOX/action/replication_record"}},"created_at":"2026-07-05T09:10:56.893012+00:00","updated_at":"2026-07-05T09:10:56.893012+00:00"}