{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:UP55IZ2O4HCTSOAKCHY2QNIVWZ","short_pith_number":"pith:UP55IZ2O","schema_version":"1.0","canonical_sha256":"a3fbd4674ee1c539380a11f1a83515b670622e4e90266c50cfdba194a030fdb9","source":{"kind":"arxiv","id":"2105.12094","version":2},"attestation_state":"computed","paper":{"title":"Three-particle finite-volume formalism for $\\pi^+\\pi^+ K^+$ and related systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nucl-th"],"primary_cat":"hep-lat","authors_text":"Stephen R. Sharpe, Tyler D. Blanton","submitted_at":"2021-05-25T17:23:36Z","abstract_excerpt":"We consider three-particle systems consisting of two identical particles and a third that is different, with all being spinless. Examples include $\\pi^+\\pi^+ K^+$ and $K^+K^+\\pi^+$. We derive the formalism necessary to extract two- and three-particle infinite-volume scattering amplitudes from the spectrum of such systems in finite volume. We use a relativistic formalism based on an all-orders diagrammatic analysis in generic effective field theory, adopting the methodology used recently to study the case of three nondegenerate particles. We present both a direct derivation, and also a cross-ch"},"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":"2105.12094","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2021-05-25T17:23:36Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"86d894b61d659860ce2992126e04d8c41fee4a9f92155b8d2250e05c25e4ccbf","abstract_canon_sha256":"d99320188db88e36ae403bd7b919e91f59fb1f13630c9de1aaa0bb5f2f38d993"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:12:05.864519Z","signature_b64":"MzpSFChPbUl46oR1ceHTTfO5+LBTZgb7FrZ7cu2vyHm0tRyAgRXUMt2qwLxcPS9CwP0F4J3gawLK0qeFoJyCBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a3fbd4674ee1c539380a11f1a83515b670622e4e90266c50cfdba194a030fdb9","last_reissued_at":"2026-07-05T03:12:05.864061Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:12:05.864061Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Three-particle finite-volume formalism for $\\pi^+\\pi^+ K^+$ and related systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nucl-th"],"primary_cat":"hep-lat","authors_text":"Stephen R. Sharpe, Tyler D. Blanton","submitted_at":"2021-05-25T17:23:36Z","abstract_excerpt":"We consider three-particle systems consisting of two identical particles and a third that is different, with all being spinless. Examples include $\\pi^+\\pi^+ K^+$ and $K^+K^+\\pi^+$. We derive the formalism necessary to extract two- and three-particle infinite-volume scattering amplitudes from the spectrum of such systems in finite volume. We use a relativistic formalism based on an all-orders diagrammatic analysis in generic effective field theory, adopting the methodology used recently to study the case of three nondegenerate particles. We present both a direct derivation, and also a cross-ch"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.12094","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/2105.12094/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":"2105.12094","created_at":"2026-07-05T03:12:05.864117+00:00"},{"alias_kind":"arxiv_version","alias_value":"2105.12094v2","created_at":"2026-07-05T03:12:05.864117+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.12094","created_at":"2026-07-05T03:12:05.864117+00:00"},{"alias_kind":"pith_short_12","alias_value":"UP55IZ2O4HCT","created_at":"2026-07-05T03:12:05.864117+00:00"},{"alias_kind":"pith_short_16","alias_value":"UP55IZ2O4HCTSOAK","created_at":"2026-07-05T03:12:05.864117+00:00"},{"alias_kind":"pith_short_8","alias_value":"UP55IZ2O","created_at":"2026-07-05T03:12:05.864117+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.19553","citing_title":"Exotic $T^*_{csJ}$ and $T^*_{c\\bar{s}J}$ states and coupled-channel scattering at the $SU(3)$ flavour symmetric point from lattice QCD","ref_index":59,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UP55IZ2O4HCTSOAKCHY2QNIVWZ","json":"https://pith.science/pith/UP55IZ2O4HCTSOAKCHY2QNIVWZ.json","graph_json":"https://pith.science/api/pith-number/UP55IZ2O4HCTSOAKCHY2QNIVWZ/graph.json","events_json":"https://pith.science/api/pith-number/UP55IZ2O4HCTSOAKCHY2QNIVWZ/events.json","paper":"https://pith.science/paper/UP55IZ2O"},"agent_actions":{"view_html":"https://pith.science/pith/UP55IZ2O4HCTSOAKCHY2QNIVWZ","download_json":"https://pith.science/pith/UP55IZ2O4HCTSOAKCHY2QNIVWZ.json","view_paper":"https://pith.science/paper/UP55IZ2O","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2105.12094&json=true","fetch_graph":"https://pith.science/api/pith-number/UP55IZ2O4HCTSOAKCHY2QNIVWZ/graph.json","fetch_events":"https://pith.science/api/pith-number/UP55IZ2O4HCTSOAKCHY2QNIVWZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UP55IZ2O4HCTSOAKCHY2QNIVWZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UP55IZ2O4HCTSOAKCHY2QNIVWZ/action/storage_attestation","attest_author":"https://pith.science/pith/UP55IZ2O4HCTSOAKCHY2QNIVWZ/action/author_attestation","sign_citation":"https://pith.science/pith/UP55IZ2O4HCTSOAKCHY2QNIVWZ/action/citation_signature","submit_replication":"https://pith.science/pith/UP55IZ2O4HCTSOAKCHY2QNIVWZ/action/replication_record"}},"created_at":"2026-07-05T03:12:05.864117+00:00","updated_at":"2026-07-05T03:12:05.864117+00:00"}