{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:OBKBHJBBAVZIOACKZBAIHMZYW6","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":"8166cccb23317e2af6cb9b43098a1052eff22412657ec3df81306b8f42eee046","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-01-25T19:10:27Z","title_canon_sha256":"9b6f107770ff3a6af8d7693a936a2d7aa841a1af673ca63b36214e64b883f466"},"schema_version":"1.0","source":{"id":"2101.10358","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.10358","created_at":"2026-07-05T03:08:24Z"},{"alias_kind":"arxiv_version","alias_value":"2101.10358v2","created_at":"2026-07-05T03:08:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.10358","created_at":"2026-07-05T03:08:24Z"},{"alias_kind":"pith_short_12","alias_value":"OBKBHJBBAVZI","created_at":"2026-07-05T03:08:24Z"},{"alias_kind":"pith_short_16","alias_value":"OBKBHJBBAVZIOACK","created_at":"2026-07-05T03:08:24Z"},{"alias_kind":"pith_short_8","alias_value":"OBKBHJBB","created_at":"2026-07-05T03:08:24Z"}],"graph_snapshots":[{"event_id":"sha256:c398db7dfac3c9d4bcc24de721440708d4050cc45a589e976508e18a58e7428f","target":"graph","created_at":"2026-07-05T03:08:24Z","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/2101.10358/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study disorder operator, defined as a symmetry transformation applied to a finite region, across a continuous quantum phase transition in $(2+1)d$. We show analytically that at a conformally-invariant critical point with U(1) symmetry, the disorder operator with a small U(1) rotation angle defined on a rectangle region exhibits power-law scaling with the perimeter of the rectangle. The exponent is proportional to the current central charge of the critical theory. Such a universal scaling behavior is due to the sharp corners of the region and we further obtain a general formula for the expon","authors_text":"Meng Cheng, Yan-Cheng Wang, Zi Yang Meng","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-01-25T19:10:27Z","title":"Scaling of disorder operator at $(2+1)d$ U(1) quantum criticality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.10358","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":"sha256:4c6a07dcad013d37060e0dba9f681b5214eac1e2d4cf3b0cf57626f97d259865","target":"record","created_at":"2026-07-05T03:08:24Z","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":"8166cccb23317e2af6cb9b43098a1052eff22412657ec3df81306b8f42eee046","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-01-25T19:10:27Z","title_canon_sha256":"9b6f107770ff3a6af8d7693a936a2d7aa841a1af673ca63b36214e64b883f466"},"schema_version":"1.0","source":{"id":"2101.10358","kind":"arxiv","version":2}},"canonical_sha256":"705413a421057287004ac84083b338b790b25d34c94ca29f7ce944ec24efea77","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"705413a421057287004ac84083b338b790b25d34c94ca29f7ce944ec24efea77","first_computed_at":"2026-07-05T03:08:24.629834Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:08:24.629834Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fe8rnybsNTwkOv1nWIWaggNihuUocSYndrwucEtbDmEyqDbeAitYcTC106blcj+r3hW5VV9N2pxOEjH/pCmjCw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:08:24.630274Z","signed_message":"canonical_sha256_bytes"},"source_id":"2101.10358","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c6a07dcad013d37060e0dba9f681b5214eac1e2d4cf3b0cf57626f97d259865","sha256:c398db7dfac3c9d4bcc24de721440708d4050cc45a589e976508e18a58e7428f"],"state_sha256":"19217ac108de958bd4d2952b1877a88a53c5f32fba80d2ab92df3bad55f7e3dc"}