{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KR65BCRZUPEYOEFCXYHXFZMP2E","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":"ee9e302701e66556528b61041052b2554a1cd71105076be2cfc0d9ed4de0e4bf","cross_cats_sorted":["cond-mat.str-el","quant-ph"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-02-05T20:35:24Z","title_canon_sha256":"c9295ff09ff9c198ff66bbbb444b3a36c7287ef1f9a295976b0e868ef488b7f0"},"schema_version":"1.0","source":{"id":"1502.01706","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.01706","created_at":"2026-05-18T02:17:33Z"},{"alias_kind":"arxiv_version","alias_value":"1502.01706v2","created_at":"2026-05-18T02:17:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.01706","created_at":"2026-05-18T02:17:33Z"},{"alias_kind":"pith_short_12","alias_value":"KR65BCRZUPEY","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KR65BCRZUPEYOEFC","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KR65BCRZ","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:b744041179b0eccb4ffa0dec4e67d2240e528a2991bbf1f0ce16e75a27f4796b","target":"graph","created_at":"2026-05-18T02:17:33Z","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":"Under the second-order degenerate perturbation theory, we show that the physics of $N$ particles with arbitrary spin confined in a one dimensional trap in the strongly interacting regime can be described by super-exchange interaction. An effective spin-chain Hamiltonian (non-translational-invariant Sutherland model) can be constructed from this procedure. For spin-1/2 particles, this model reduces to the non-translational-invariant Heisenberg model, where a transition between Heisenberg anti-ferromagnetic (AFM) and ferromagnetic (FM) states is expected to occur when the interaction strength is","authors_text":"Han Pu, Liming Guan, Li Yang","cross_cats":["cond-mat.str-el","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-02-05T20:35:24Z","title":"Strongly Interacting Quantum Gases in One-Dimensional Traps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.01706","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":"sha256:2f35e5f0c54ce0195b7ad75883c3f373ea490b2f865a2d1db925324801416d21","target":"record","created_at":"2026-05-18T02:17:33Z","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":"ee9e302701e66556528b61041052b2554a1cd71105076be2cfc0d9ed4de0e4bf","cross_cats_sorted":["cond-mat.str-el","quant-ph"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-02-05T20:35:24Z","title_canon_sha256":"c9295ff09ff9c198ff66bbbb444b3a36c7287ef1f9a295976b0e868ef488b7f0"},"schema_version":"1.0","source":{"id":"1502.01706","kind":"arxiv","version":2}},"canonical_sha256":"547dd08a39a3c98710a2be0f72e58fd1047a5cba1603ce0fa7e5e29a1a05a387","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"547dd08a39a3c98710a2be0f72e58fd1047a5cba1603ce0fa7e5e29a1a05a387","first_computed_at":"2026-05-18T02:17:33.164175Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:17:33.164175Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jn23vE3tcpOvrEVOrsGyGMC74vgbiep+8XMXi/E/8ATxG7l6mobkRsvFkU4BSRIlSzll8U8wbYib1XInjAmdAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:17:33.164753Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.01706","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f35e5f0c54ce0195b7ad75883c3f373ea490b2f865a2d1db925324801416d21","sha256:b744041179b0eccb4ffa0dec4e67d2240e528a2991bbf1f0ce16e75a27f4796b"],"state_sha256":"9588046c9ea77cb5fc231a5b9d5a8be4bb85a501d34274e4fdf104269ec4c863"}