{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ODX4CBFVIZJZJIKYLFI37RLPYN","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":"425b9638a49c69e48a9a016f67c1284adb61d94f8eebb78f8c5d5ff22a160159","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-12-03T21:06:15Z","title_canon_sha256":"a585c29f69957eb0220dd24903d640157ef9bc3203c09b912ef79a7c137e669d"},"schema_version":"1.0","source":{"id":"1212.0557","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.0557","created_at":"2026-05-18T03:26:32Z"},{"alias_kind":"arxiv_version","alias_value":"1212.0557v2","created_at":"2026-05-18T03:26:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.0557","created_at":"2026-05-18T03:26:32Z"},{"alias_kind":"pith_short_12","alias_value":"ODX4CBFVIZJZ","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"ODX4CBFVIZJZJIKY","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"ODX4CBFV","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:b4e4b414abf43dc0a2f09d7e04da1e3d30c909bd90dd80fee7be44ae1273d2ca","target":"graph","created_at":"2026-05-18T03:26:32Z","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":"Band insulators appear in a crystalline system only when the filling -- the number of electrons per unit cell and spin projection -- is an integer. At fractional filling, an insulating phase that preserves all symmetries is a Mott insulator, i.e. it is either gapless or, if gapped, displays fractionalized excitations and topological order. We raise the inverse question -- at an integer filling is a band insulator always possible? Here we show that lattice symmetries may forbid a band insulator even at certain integer fillings, if the crystal is non-symmorphic -- a property shared by a majority","authors_text":"Ari M. Turner, Ashvin Vishwanath, Daniel P. Arovas, S. A. Parameswaran","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-12-03T21:06:15Z","title":"Topological Order and Absence of Band Insulators at Integer Filling in Non-Symmorphic Crystals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.0557","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":"sha256:9aaae43168ed61479ffaa2eaa97595797827c49d9bdbd714c044005b9045d189","target":"record","created_at":"2026-05-18T03:26:32Z","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":"425b9638a49c69e48a9a016f67c1284adb61d94f8eebb78f8c5d5ff22a160159","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-12-03T21:06:15Z","title_canon_sha256":"a585c29f69957eb0220dd24903d640157ef9bc3203c09b912ef79a7c137e669d"},"schema_version":"1.0","source":{"id":"1212.0557","kind":"arxiv","version":2}},"canonical_sha256":"70efc104b5465394a1585951bfc56fc3724cc92c3785be9806c58ce4b1fcf9ea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"70efc104b5465394a1585951bfc56fc3724cc92c3785be9806c58ce4b1fcf9ea","first_computed_at":"2026-05-18T03:26:32.181312Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:26:32.181312Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kIe52+yGwuQaCc31+hy4ozoVfEq+PeNIlc3lkGJNWxhZdxMZnjgUvtsRrOyE+GYj6HBwdfwPaJYJ9GMPLDrvDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:26:32.181777Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.0557","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9aaae43168ed61479ffaa2eaa97595797827c49d9bdbd714c044005b9045d189","sha256:b4e4b414abf43dc0a2f09d7e04da1e3d30c909bd90dd80fee7be44ae1273d2ca"],"state_sha256":"8477a16c1f9b51e895f351a1085319065160df79bca0915d0d6bc57a7308033f"}