{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:3NNV6SS4BBVZGTHTCLZOXJRKLD","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":"e672cd4e2846a4734d30df983948735a3bb92cde0190524b9399af6002cf5623","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-06-07T15:02:55Z","title_canon_sha256":"e1e70de8bbd5b9eaab02e04e4ca79e28b4b04aeac87510834be130186dfbe81e"},"schema_version":"1.0","source":{"id":"1006.1269","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.1269","created_at":"2026-07-04T17:31:54Z"},{"alias_kind":"arxiv_version","alias_value":"1006.1269v2","created_at":"2026-07-04T17:31:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.1269","created_at":"2026-07-04T17:31:54Z"},{"alias_kind":"pith_short_12","alias_value":"3NNV6SS4BBVZ","created_at":"2026-07-04T17:31:54Z"},{"alias_kind":"pith_short_16","alias_value":"3NNV6SS4BBVZGTHT","created_at":"2026-07-04T17:31:54Z"},{"alias_kind":"pith_short_8","alias_value":"3NNV6SS4","created_at":"2026-07-04T17:31:54Z"}],"graph_snapshots":[{"event_id":"sha256:8e2f4bd2bf49f1b02fd4223dbdf81c6cdb40e7661b587cec7a1babd0452e5d65","target":"graph","created_at":"2026-07-04T17:31:54Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1006.1269/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a scheme to investigate the effect of frustration on the magnetic phase transitions of cold atoms confined in an optical lattice. We also demonstrate how to get two-leg spin ladders with frustrated spin-exchange coupling which display a phase transition from a spin liquid to a fully incompressible state. Various experimental quantities are further analyzed for describing this phase.","authors_text":"Fran\\c{c}ois Cr\\'epin, Pascal Simon, Roberta Citro","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-06-07T15:02:55Z","title":"Incompressible states of a two-component Fermi gas in a double-well optical lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.1269","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:bbac0daaeaa7d51eecc5f3aab9b9217e1b9b5334c6ea74d646cd9a43aa5a54d0","target":"record","created_at":"2026-07-04T17:31:54Z","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":"e672cd4e2846a4734d30df983948735a3bb92cde0190524b9399af6002cf5623","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-06-07T15:02:55Z","title_canon_sha256":"e1e70de8bbd5b9eaab02e04e4ca79e28b4b04aeac87510834be130186dfbe81e"},"schema_version":"1.0","source":{"id":"1006.1269","kind":"arxiv","version":2}},"canonical_sha256":"db5b5f4a5c086b934cf312f2eba62a58d53c99e872d7b4296c4f142202b751f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db5b5f4a5c086b934cf312f2eba62a58d53c99e872d7b4296c4f142202b751f3","first_computed_at":"2026-07-04T17:31:54.444756Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:31:54.444756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pE0iuOPslUi42MdV7n87MFqsEK82brBRHZQTNADZVF6xHlVSsHGr+0ZyiWOvNmvf9GX57z/3SKsBW6FfD5x6AQ==","signature_status":"signed_v1","signed_at":"2026-07-04T17:31:54.445249Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.1269","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bbac0daaeaa7d51eecc5f3aab9b9217e1b9b5334c6ea74d646cd9a43aa5a54d0","sha256:8e2f4bd2bf49f1b02fd4223dbdf81c6cdb40e7661b587cec7a1babd0452e5d65"],"state_sha256":"46e7904b6aa98082853ce2459e683a8d06a2a0ae02a42a50a26078afdae13c33"}