{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:477BGQ2T4XZ4XC2PRKTOACKYCB","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"96c992c67f32a7c92957797ed86c2bd61002331424faea4ae3e8e46dc4bad435","cross_cats_sorted":["nucl-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2025-01-17T07:32:32Z","title_canon_sha256":"eee59e9d3a6873809e6c1e68de48272118d7dd9fc5191ea2afc8aad9f248a98e"},"schema_version":"1.0","source":{"id":"2501.10000","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.10000","created_at":"2026-07-05T10:02:14Z"},{"alias_kind":"arxiv_version","alias_value":"2501.10000v1","created_at":"2026-07-05T10:02:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.10000","created_at":"2026-07-05T10:02:14Z"},{"alias_kind":"pith_short_12","alias_value":"477BGQ2T4XZ4","created_at":"2026-07-05T10:02:14Z"},{"alias_kind":"pith_short_16","alias_value":"477BGQ2T4XZ4XC2P","created_at":"2026-07-05T10:02:14Z"},{"alias_kind":"pith_short_8","alias_value":"477BGQ2T","created_at":"2026-07-05T10:02:14Z"}],"graph_snapshots":[{"event_id":"sha256:49416fcc0fb3cea6d9950aba72ca9654e44e9b9da36b7416b3acc2f5e7217e45","target":"graph","created_at":"2026-07-05T10:02:14Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2501.10000/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This article provides a pedagogical exploration of coupled-channel scattering in hadronic physics, focusing on theoretical methodologies, and practical applications. It covers key concepts such as the $N/D$ method, Castillejo-Dalitz-Dyson poles, and the generalization of these techniques to coupled channels. The article also presents a parameterization for partial wave amplitudes, ensuring unitarity and analyticity, and addresses scattering near the threshold of dominant channels, with use also of the Lippmann-Schwinger equation. Additionally, it explores final-state interactions, Omn\\`es and ","authors_text":"Jos\\'e Antonio Oller","cross_cats":["nucl-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2025-01-17T07:32:32Z","title":"Coupled-channel formalism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.10000","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ef81f99758c3aa5bb4beb8bc4a58ef7ac46ed59e399aca87b0aa1b9e118c4407","target":"record","created_at":"2026-07-05T10:02:14Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"96c992c67f32a7c92957797ed86c2bd61002331424faea4ae3e8e46dc4bad435","cross_cats_sorted":["nucl-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2025-01-17T07:32:32Z","title_canon_sha256":"eee59e9d3a6873809e6c1e68de48272118d7dd9fc5191ea2afc8aad9f248a98e"},"schema_version":"1.0","source":{"id":"2501.10000","kind":"arxiv","version":1}},"canonical_sha256":"e7fe134353e5f3cb8b4f8aa6e0095810406eb21a80ed37be4d4e95741da224ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e7fe134353e5f3cb8b4f8aa6e0095810406eb21a80ed37be4d4e95741da224ec","first_computed_at":"2026-07-05T10:02:14.790189Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:02:14.790189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kQk5Sw3Ag20NYmA467Fgnxh7XyDds82wwpJwOVr4QFiuuduS66qGCw14yh8wYlWEERYZnF4/pJ73i30/WmIFCw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:02:14.790712Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.10000","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef81f99758c3aa5bb4beb8bc4a58ef7ac46ed59e399aca87b0aa1b9e118c4407","sha256:49416fcc0fb3cea6d9950aba72ca9654e44e9b9da36b7416b3acc2f5e7217e45"],"state_sha256":"ec8e2a351d1c611b14d8c019a0a5164fcd87349b68b2652c3947fe8770f0c843"}