{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:XD2RSJEXJ5A5PD5RW5KGKDU6BL","short_pith_number":"pith:XD2RSJEX","schema_version":"1.0","canonical_sha256":"b8f51924974f41d78fb1b754650e9e0aed6199b169f63555f2d81f6d271c9bd1","source":{"kind":"arxiv","id":"1203.1241","version":2},"attestation_state":"computed","paper":{"title":"Three particles in a finite volume","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","nucl-th"],"primary_cat":"hep-lat","authors_text":"Akaki Rusetsky, Kathryn Polejaeva","submitted_at":"2012-03-06T16:19:15Z","abstract_excerpt":"Within the non-relativistic potential scattering theory, we derive a generalized version of the L\\\"uscher formula, which includes three-particle inelastic channels. Faddeev equations in a finite volume are discussed in detail. It is proved that, even in the presence of the three-particle intermediate states, the discrete spectrum in a finite box is determined by the infinite-volume elements of the scattering S-matrix up to corrections, exponentially suppressed at large volumes."},"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":"1203.1241","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-03-06T16:19:15Z","cross_cats_sorted":["hep-ph","nucl-th"],"title_canon_sha256":"e042a84020844596fef980c16db2a1be30b2a474b62bc19b8ab0c4798c4da8ae","abstract_canon_sha256":"c6b833260eb6cfdd3f41777e4899496843bc285511c22df1ea4384273bccf410"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:14.217066Z","signature_b64":"8DWPXhIXSomolm390Vpf0W3GnyROFgvD8uwBJPGY9ENSafADIUYQkYl8ohU7bbMUyaw+69QQfiQlBG/sM1ZCBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b8f51924974f41d78fb1b754650e9e0aed6199b169f63555f2d81f6d271c9bd1","last_reissued_at":"2026-05-18T01:58:14.216363Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:14.216363Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Three particles in a finite volume","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","nucl-th"],"primary_cat":"hep-lat","authors_text":"Akaki Rusetsky, Kathryn Polejaeva","submitted_at":"2012-03-06T16:19:15Z","abstract_excerpt":"Within the non-relativistic potential scattering theory, we derive a generalized version of the L\\\"uscher formula, which includes three-particle inelastic channels. Faddeev equations in a finite volume are discussed in detail. It is proved that, even in the presence of the three-particle intermediate states, the discrete spectrum in a finite box is determined by the infinite-volume elements of the scattering S-matrix up to corrections, exponentially suppressed at large volumes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.1241","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":"1203.1241","created_at":"2026-05-18T01:58:14.216496+00:00"},{"alias_kind":"arxiv_version","alias_value":"1203.1241v2","created_at":"2026-05-18T01:58:14.216496+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.1241","created_at":"2026-05-18T01:58:14.216496+00:00"},{"alias_kind":"pith_short_12","alias_value":"XD2RSJEXJ5A5","created_at":"2026-05-18T12:27:27.928770+00:00"},{"alias_kind":"pith_short_16","alias_value":"XD2RSJEXJ5A5PD5R","created_at":"2026-05-18T12:27:27.928770+00:00"},{"alias_kind":"pith_short_8","alias_value":"XD2RSJEX","created_at":"2026-05-18T12:27:27.928770+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/XD2RSJEXJ5A5PD5RW5KGKDU6BL","json":"https://pith.science/pith/XD2RSJEXJ5A5PD5RW5KGKDU6BL.json","graph_json":"https://pith.science/api/pith-number/XD2RSJEXJ5A5PD5RW5KGKDU6BL/graph.json","events_json":"https://pith.science/api/pith-number/XD2RSJEXJ5A5PD5RW5KGKDU6BL/events.json","paper":"https://pith.science/paper/XD2RSJEX"},"agent_actions":{"view_html":"https://pith.science/pith/XD2RSJEXJ5A5PD5RW5KGKDU6BL","download_json":"https://pith.science/pith/XD2RSJEXJ5A5PD5RW5KGKDU6BL.json","view_paper":"https://pith.science/paper/XD2RSJEX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1203.1241&json=true","fetch_graph":"https://pith.science/api/pith-number/XD2RSJEXJ5A5PD5RW5KGKDU6BL/graph.json","fetch_events":"https://pith.science/api/pith-number/XD2RSJEXJ5A5PD5RW5KGKDU6BL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XD2RSJEXJ5A5PD5RW5KGKDU6BL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XD2RSJEXJ5A5PD5RW5KGKDU6BL/action/storage_attestation","attest_author":"https://pith.science/pith/XD2RSJEXJ5A5PD5RW5KGKDU6BL/action/author_attestation","sign_citation":"https://pith.science/pith/XD2RSJEXJ5A5PD5RW5KGKDU6BL/action/citation_signature","submit_replication":"https://pith.science/pith/XD2RSJEXJ5A5PD5RW5KGKDU6BL/action/replication_record"}},"created_at":"2026-05-18T01:58:14.216496+00:00","updated_at":"2026-05-18T01:58:14.216496+00:00"}