{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:KUZBTEFKZOCZZFKQ2S5GWCMLV5","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":"7fa89819953283590726049a6c921f9f0426ba86332a759a21dfb021dea78c1d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-07-09T18:35:00Z","title_canon_sha256":"419533684a4db861f669e1632280d8e70091d9111c4671e25f31bce060a91e43"},"schema_version":"1.0","source":{"id":"2607.08862","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.08862","created_at":"2026-07-13T00:17:22Z"},{"alias_kind":"arxiv_version","alias_value":"2607.08862v1","created_at":"2026-07-13T00:17:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.08862","created_at":"2026-07-13T00:17:22Z"},{"alias_kind":"pith_short_12","alias_value":"KUZBTEFKZOCZ","created_at":"2026-07-13T00:17:22Z"},{"alias_kind":"pith_short_16","alias_value":"KUZBTEFKZOCZZFKQ","created_at":"2026-07-13T00:17:22Z"},{"alias_kind":"pith_short_8","alias_value":"KUZBTEFK","created_at":"2026-07-13T00:17:22Z"}],"graph_snapshots":[{"event_id":"sha256:8f9ff93dbc9af0e0469c8a25a07176bda08254935b223c82aac25326ef67b88b","target":"graph","created_at":"2026-07-13T00:17:22Z","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/2607.08862/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the formation of loop-current ordered phases in half-filled SU($N$) two-leg fermionic ladders. Using a low-energy approach, we uncover the existence of non-perturbative duality symmetries relating four competing orders. Two of these orders correspond to loop-current ordered phases that spontaneously break the time-reversal symmetry and describe charge currents circulating in a staggered pattern either around the plaquettes or along the diagonals of the ladder. These unconventional phases are shown to be dual to conventional (charge and bond) density-wave phases through an exact ","authors_text":"F. Rose, M. Habchy, P. Lecheminant","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-07-09T18:35:00Z","title":"Loop-current orderings in SU($N$) two-leg fermionic ladder through duality symmetries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.08862","kind":"arxiv","version":1},"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":"sha256:27035e1fdd246746c94f35cb736fbdd18823547d8ec92f5a869aa163ef5f9ab9","target":"record","created_at":"2026-07-13T00:17:22Z","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":"7fa89819953283590726049a6c921f9f0426ba86332a759a21dfb021dea78c1d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-07-09T18:35:00Z","title_canon_sha256":"419533684a4db861f669e1632280d8e70091d9111c4671e25f31bce060a91e43"},"schema_version":"1.0","source":{"id":"2607.08862","kind":"arxiv","version":1}},"canonical_sha256":"55321990aacb859c9550d4ba6b098baf41ceab25c0c5f8d826d09f599e197531","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55321990aacb859c9550d4ba6b098baf41ceab25c0c5f8d826d09f599e197531","first_computed_at":"2026-07-13T00:17:22.837713Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-13T00:17:22.837713Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4Vy6y6yzOCgdCkv2S/IcorAk5aTDSEhFG4QHmisqybEomxGqV6F8NelQfjQArJCfdDo2O5BiPdtHarR/utXfCg==","signature_status":"signed_v1","signed_at":"2026-07-13T00:17:22.839034Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.08862","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27035e1fdd246746c94f35cb736fbdd18823547d8ec92f5a869aa163ef5f9ab9","sha256:8f9ff93dbc9af0e0469c8a25a07176bda08254935b223c82aac25326ef67b88b"],"state_sha256":"d121b35c69a05ab755addd6d1b8792b1559530d482fa38d081e4a9c07664d2a9"}