{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:4BXCZRMDJVTBTMWVH5TZ573OHT","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":"909185c2c427e70d8afcc62db90263e5ea493d35e20bd917759373553f96352f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-12-07T16:51:52Z","title_canon_sha256":"1e9ff70073eeafda9507b5b854e13b755da0f273c7ae76334d53b5698622d26e"},"schema_version":"1.0","source":{"id":"1112.1622","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.1622","created_at":"2026-05-18T03:54:37Z"},{"alias_kind":"arxiv_version","alias_value":"1112.1622v2","created_at":"2026-05-18T03:54:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1622","created_at":"2026-05-18T03:54:37Z"},{"alias_kind":"pith_short_12","alias_value":"4BXCZRMDJVTB","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4BXCZRMDJVTBTMWV","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4BXCZRMD","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:2d5152f6c1b5d548602931a5c4ba6c365ccc836f362ba19f2d4fc7cca88a6994","target":"graph","created_at":"2026-05-18T03:54:37Z","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":"We study two-species fermion gases with attractive interaction in two-dimensional optical lattices producing an array of elongated tube confinements. Focusing on the interplay of Cooper pairing, spin imbalance (or magnetization) and intertube tunneling, we find the pairing gap can exhibit oscillatory behavior both along and across the tubes, reminiscent of a Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phase. We obtain a Bose-Hubbard-like phase diagram that shows that the magnetization of the system undergoes an incompressible-compressible transition as a function of magnetic field and intertube tu","authors_text":"C. J. Bolech, Kuei Sun","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-12-07T16:51:52Z","title":"Oscillatory pairing amplitude and magnetic compressible-incompressible transitions in imbalanced fermionic superfluids in optical lattices of elongated tubes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1622","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":"sha256:8343b2535425721cca63d33721a00fa767a3fc11138e153332cae0bdcf9b5686","target":"record","created_at":"2026-05-18T03:54:37Z","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":"909185c2c427e70d8afcc62db90263e5ea493d35e20bd917759373553f96352f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-12-07T16:51:52Z","title_canon_sha256":"1e9ff70073eeafda9507b5b854e13b755da0f273c7ae76334d53b5698622d26e"},"schema_version":"1.0","source":{"id":"1112.1622","kind":"arxiv","version":2}},"canonical_sha256":"e06e2cc5834d6619b2d53f679eff6e3cc8c5a37997f3667d35c0fd6f9425b8a0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e06e2cc5834d6619b2d53f679eff6e3cc8c5a37997f3667d35c0fd6f9425b8a0","first_computed_at":"2026-05-18T03:54:37.432706Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:54:37.432706Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GwhbPPqwvF9oIoRvK8tNw/IYueHkB/hb9NQ2ksiR4URV2HL58kYPeeYQrCr5t7D5SNj4CyDNAatpzdpMN/wxBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:54:37.433226Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.1622","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8343b2535425721cca63d33721a00fa767a3fc11138e153332cae0bdcf9b5686","sha256:2d5152f6c1b5d548602931a5c4ba6c365ccc836f362ba19f2d4fc7cca88a6994"],"state_sha256":"df49b2b8ef7bc0593089ae01efbb4ce15dd14bc4968964d9cd045733fb670d85"}