{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:6AAPL2OXPIJ54EENAKMOTFEHVU","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":"68204a638588f01cf69abf25aafa832231477b6c7e42160e3861918e86eb3a47","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2011-10-18T09:30:34Z","title_canon_sha256":"7bbcedb85c25f5a389188306f261b46f3b43753f204eba9e97987f025d672cb6"},"schema_version":"1.0","source":{"id":"1110.3919","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.3919","created_at":"2026-05-18T04:10:36Z"},{"alias_kind":"arxiv_version","alias_value":"1110.3919v2","created_at":"2026-05-18T04:10:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.3919","created_at":"2026-05-18T04:10:36Z"},{"alias_kind":"pith_short_12","alias_value":"6AAPL2OXPIJ5","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6AAPL2OXPIJ54EEN","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6AAPL2OX","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:9769b47ccb6ea4a8a730bfbd11965007862e0911ae0d61c82d54bf90e974cd59","target":"graph","created_at":"2026-05-18T04:10:36Z","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"},"paper":{"abstract_excerpt":"In this lecture I give a brief review of low-dimensional few-body problems recently encountered in attempting a quantitative description of ultracold atoms and molecules confined in 2D and 1D optical lattices. Multi-channel nature of these processes has required the development of special computational methods and algorithms which I discuss here as well as the most interesting results obtained with the offered computational technique and future perspectives.","authors_text":"Vladimir S. Melezhik","cross_cats":["cond-mat.quant-gas"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2011-10-18T09:30:34Z","title":"Multi-Channel Computations in Low-Dimensional Few-Body Physics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.3919","kind":"arxiv","version":2},"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:f417b9401fe779e297ac39c18dba15234b63adb9ea8b1685af2a01079db26a73","target":"record","created_at":"2026-05-18T04:10:36Z","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":"68204a638588f01cf69abf25aafa832231477b6c7e42160e3861918e86eb3a47","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2011-10-18T09:30:34Z","title_canon_sha256":"7bbcedb85c25f5a389188306f261b46f3b43753f204eba9e97987f025d672cb6"},"schema_version":"1.0","source":{"id":"1110.3919","kind":"arxiv","version":2}},"canonical_sha256":"f000f5e9d77a13de108d0298e99487ad35afb02309db5628d6cb380e7e085611","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f000f5e9d77a13de108d0298e99487ad35afb02309db5628d6cb380e7e085611","first_computed_at":"2026-05-18T04:10:36.861723Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:10:36.861723Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"csszppGtwyipwno6RPSBN9wWmrHLEjUL1kPItd8xJGOGlpgS9W+gisfxmrol5d4TIIqWirMe/nJ1wxH0SEMaDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:10:36.862409Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.3919","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f417b9401fe779e297ac39c18dba15234b63adb9ea8b1685af2a01079db26a73","sha256:9769b47ccb6ea4a8a730bfbd11965007862e0911ae0d61c82d54bf90e974cd59"],"state_sha256":"000cc8f9aeba4a7a3803e42ec7545cd36a940d58008ea4ecdc7975ce3fa1c24a"}