{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1995:7PAS3TXOMAGYJZVTZCXINSTPTY","short_pith_number":"pith:7PAS3TXO","schema_version":"1.0","canonical_sha256":"fbc12dceee600d84e6b3c8ae86ca6f9e33c7d4cc582324d116e64d8386f17224","source":{"kind":"arxiv","id":"nucl-th/9505029","version":2},"attestation_state":"computed","paper":{"title":"Representations for Three-Body T-Matrix on Unphysical Sheets: Proofs","license":"","headline":"","cross_cats":["funct-an","math.FA"],"primary_cat":"nucl-th","authors_text":"A.K.Motovilov (JINR, Dubna)","submitted_at":"1995-05-21T04:04:20Z","abstract_excerpt":"A proof is given for the explicit representations which have been formulated in the author's previous work (nucl-th/9505028) for the Faddeev components of three-body T-matrix continued analytically on unphysical sheets of the energy Riemann surface. Also, the analogous representations for analytical continuation of the three-body scattering matrices and resolvent are proved. An algorithm to search for the three-body resonances on the base of the Faddeev differential equations is discussed."},"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":"nucl-th/9505029","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"nucl-th","submitted_at":"1995-05-21T04:04:20Z","cross_cats_sorted":["funct-an","math.FA"],"title_canon_sha256":"9c04ac69260eb3a2070ee4c6d9b935570146d272e031c64d64cd4cbb27811757","abstract_canon_sha256":"49d2d82d7029464d4f60d929bf72fc4210f3e77728faa4507753ad709f0f4072"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:18.579532Z","signature_b64":"UcxpJRKQ3n3Aq7yT6Mc1OnHq6Bv9dU6jxa43DEtheXzgiE7soPswjvRQyvkSAiTBE/vPk4ljNpDuMgv5FZB9Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fbc12dceee600d84e6b3c8ae86ca6f9e33c7d4cc582324d116e64d8386f17224","last_reissued_at":"2026-05-18T01:05:18.579152Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:18.579152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Representations for Three-Body T-Matrix on Unphysical Sheets: Proofs","license":"","headline":"","cross_cats":["funct-an","math.FA"],"primary_cat":"nucl-th","authors_text":"A.K.Motovilov (JINR, Dubna)","submitted_at":"1995-05-21T04:04:20Z","abstract_excerpt":"A proof is given for the explicit representations which have been formulated in the author's previous work (nucl-th/9505028) for the Faddeev components of three-body T-matrix continued analytically on unphysical sheets of the energy Riemann surface. Also, the analogous representations for analytical continuation of the three-body scattering matrices and resolvent are proved. An algorithm to search for the three-body resonances on the base of the Faddeev differential equations is discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nucl-th/9505029","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":"nucl-th/9505029","created_at":"2026-05-18T01:05:18.579212+00:00"},{"alias_kind":"arxiv_version","alias_value":"nucl-th/9505029v2","created_at":"2026-05-18T01:05:18.579212+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nucl-th/9505029","created_at":"2026-05-18T01:05:18.579212+00:00"},{"alias_kind":"pith_short_12","alias_value":"7PAS3TXOMAGY","created_at":"2026-05-18T12:25:47.700082+00:00"},{"alias_kind":"pith_short_16","alias_value":"7PAS3TXOMAGYJZVT","created_at":"2026-05-18T12:25:47.700082+00:00"},{"alias_kind":"pith_short_8","alias_value":"7PAS3TXO","created_at":"2026-05-18T12:25:47.700082+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/7PAS3TXOMAGYJZVTZCXINSTPTY","json":"https://pith.science/pith/7PAS3TXOMAGYJZVTZCXINSTPTY.json","graph_json":"https://pith.science/api/pith-number/7PAS3TXOMAGYJZVTZCXINSTPTY/graph.json","events_json":"https://pith.science/api/pith-number/7PAS3TXOMAGYJZVTZCXINSTPTY/events.json","paper":"https://pith.science/paper/7PAS3TXO"},"agent_actions":{"view_html":"https://pith.science/pith/7PAS3TXOMAGYJZVTZCXINSTPTY","download_json":"https://pith.science/pith/7PAS3TXOMAGYJZVTZCXINSTPTY.json","view_paper":"https://pith.science/paper/7PAS3TXO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=nucl-th/9505029&json=true","fetch_graph":"https://pith.science/api/pith-number/7PAS3TXOMAGYJZVTZCXINSTPTY/graph.json","fetch_events":"https://pith.science/api/pith-number/7PAS3TXOMAGYJZVTZCXINSTPTY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7PAS3TXOMAGYJZVTZCXINSTPTY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7PAS3TXOMAGYJZVTZCXINSTPTY/action/storage_attestation","attest_author":"https://pith.science/pith/7PAS3TXOMAGYJZVTZCXINSTPTY/action/author_attestation","sign_citation":"https://pith.science/pith/7PAS3TXOMAGYJZVTZCXINSTPTY/action/citation_signature","submit_replication":"https://pith.science/pith/7PAS3TXOMAGYJZVTZCXINSTPTY/action/replication_record"}},"created_at":"2026-05-18T01:05:18.579212+00:00","updated_at":"2026-05-18T01:05:18.579212+00:00"}