{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:RY6GHAPNHIMUPRJZIZJ4CHRGGQ","short_pith_number":"pith:RY6GHAPN","schema_version":"1.0","canonical_sha256":"8e3c6381ed3a1947c5394653c11e263422dadd9a637b5c84e4341ef2815922f4","source":{"kind":"arxiv","id":"hep-lat/0508022","version":2},"attestation_state":"computed","paper":{"title":"Two Particle States in a Box and the $s$-Matrix in Multi-Channel Scattering","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Chuan Liu, Song He, Xu Feng","submitted_at":"2005-08-25T00:48:14Z","abstract_excerpt":"Using a quantum mechanical model, the exact energy eigenstates for two-particle two-channel scattering are studied in a cubic box with periodic boundary conditions.\n A relation between the exact energy eigenvalue in the box and the two-channel $S$-matrix elements in the continuum is obtained. This result can be viewed as a generalization of the well-known L\\\"uscher's formula which establishes a similar relation in elastic scattering."},"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":"hep-lat/0508022","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"2005-08-25T00:48:14Z","cross_cats_sorted":[],"title_canon_sha256":"e277d8f923735c209f4fe38a4eb65d5227e9e284fc38dd8b8bf70b0a78c2391c","abstract_canon_sha256":"ce20127e6f8b39202032fdadee1864e54405f177a9b75fa9a47c658b8e5bdcfb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:38.915377Z","signature_b64":"Grn24Oy1EF4Jl/IRIY5EthM1XCR1G+3NWCRN9V8mL2tXCYAON0/5o1j/0UQ1h4W0ekxJkjDT5Mr7vhQS77+uCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e3c6381ed3a1947c5394653c11e263422dadd9a637b5c84e4341ef2815922f4","last_reissued_at":"2026-05-18T01:06:38.914619Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:38.914619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Two Particle States in a Box and the $s$-Matrix in Multi-Channel Scattering","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Chuan Liu, Song He, Xu Feng","submitted_at":"2005-08-25T00:48:14Z","abstract_excerpt":"Using a quantum mechanical model, the exact energy eigenstates for two-particle two-channel scattering are studied in a cubic box with periodic boundary conditions.\n A relation between the exact energy eigenvalue in the box and the two-channel $S$-matrix elements in the continuum is obtained. This result can be viewed as a generalization of the well-known L\\\"uscher's formula which establishes a similar relation in elastic scattering."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/0508022","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":""},"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":"hep-lat/0508022","created_at":"2026-05-18T01:06:38.914739+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/0508022v2","created_at":"2026-05-18T01:06:38.914739+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/0508022","created_at":"2026-05-18T01:06:38.914739+00:00"},{"alias_kind":"pith_short_12","alias_value":"RY6GHAPNHIMU","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_16","alias_value":"RY6GHAPNHIMUPRJZ","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_8","alias_value":"RY6GHAPN","created_at":"2026-05-18T12:25:53.335082+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RY6GHAPNHIMUPRJZIZJ4CHRGGQ","json":"https://pith.science/pith/RY6GHAPNHIMUPRJZIZJ4CHRGGQ.json","graph_json":"https://pith.science/api/pith-number/RY6GHAPNHIMUPRJZIZJ4CHRGGQ/graph.json","events_json":"https://pith.science/api/pith-number/RY6GHAPNHIMUPRJZIZJ4CHRGGQ/events.json","paper":"https://pith.science/paper/RY6GHAPN"},"agent_actions":{"view_html":"https://pith.science/pith/RY6GHAPNHIMUPRJZIZJ4CHRGGQ","download_json":"https://pith.science/pith/RY6GHAPNHIMUPRJZIZJ4CHRGGQ.json","view_paper":"https://pith.science/paper/RY6GHAPN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-lat/0508022&json=true","fetch_graph":"https://pith.science/api/pith-number/RY6GHAPNHIMUPRJZIZJ4CHRGGQ/graph.json","fetch_events":"https://pith.science/api/pith-number/RY6GHAPNHIMUPRJZIZJ4CHRGGQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RY6GHAPNHIMUPRJZIZJ4CHRGGQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RY6GHAPNHIMUPRJZIZJ4CHRGGQ/action/storage_attestation","attest_author":"https://pith.science/pith/RY6GHAPNHIMUPRJZIZJ4CHRGGQ/action/author_attestation","sign_citation":"https://pith.science/pith/RY6GHAPNHIMUPRJZIZJ4CHRGGQ/action/citation_signature","submit_replication":"https://pith.science/pith/RY6GHAPNHIMUPRJZIZJ4CHRGGQ/action/replication_record"}},"created_at":"2026-05-18T01:06:38.914739+00:00","updated_at":"2026-05-18T01:06:38.914739+00:00"}