{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:SDHDEGZZB3KBAUOVLFAB6Y3JRO","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":"875476a0710d1e10c8cd9dc1a33199ae5f9d7ca3e47779b22f5105f165781d44","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-01-20T17:01:20Z","title_canon_sha256":"6e7272e80aff4740d57efa2116f1571e9df6f2f87e0f37e51c8364b084a89f0a"},"schema_version":"1.0","source":{"id":"2301.08676","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.08676","created_at":"2026-07-05T06:13:10Z"},{"alias_kind":"arxiv_version","alias_value":"2301.08676v1","created_at":"2026-07-05T06:13:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.08676","created_at":"2026-07-05T06:13:10Z"},{"alias_kind":"pith_short_12","alias_value":"SDHDEGZZB3KB","created_at":"2026-07-05T06:13:10Z"},{"alias_kind":"pith_short_16","alias_value":"SDHDEGZZB3KBAUOV","created_at":"2026-07-05T06:13:10Z"},{"alias_kind":"pith_short_8","alias_value":"SDHDEGZZ","created_at":"2026-07-05T06:13:10Z"}],"graph_snapshots":[{"event_id":"sha256:1c356b8b6513270ec3b9d22afdfca38280da9e2dbf66454d1e48ec3dd16a8915","target":"graph","created_at":"2026-07-05T06:13:10Z","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/2301.08676/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the ground state of a one-dimensional critical quantum system carrying a global symmetry in the bulk, which is explicitly broken by its boundary conditions. We probe the system via a string-order parameter, showing how it detects the symmetry breaking pattern. We give a precise characterization of the mechanism depicted above in Boundary CFT, and we find a general logarithmic scaling for the order parameter. As a first example we analyze the breaking of a $U(1)$ symmetry for complex free theories induced by a boundary pairing term. Moreover, we give predictions for the breaking of ","authors_text":"Luca Capizzi, Pantelis Panopoulos, Riccarda Bonsignori","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-01-20T17:01:20Z","title":"Boundary Symmetry Breaking in CFT and the String Order Parameter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.08676","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":"sha256:6fa7b1e5242639443c78598e14a6f943c2b0725e07d10e231d30851380eb940a","target":"record","created_at":"2026-07-05T06:13:10Z","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":"875476a0710d1e10c8cd9dc1a33199ae5f9d7ca3e47779b22f5105f165781d44","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-01-20T17:01:20Z","title_canon_sha256":"6e7272e80aff4740d57efa2116f1571e9df6f2f87e0f37e51c8364b084a89f0a"},"schema_version":"1.0","source":{"id":"2301.08676","kind":"arxiv","version":1}},"canonical_sha256":"90ce321b390ed41051d559401f63698ba55255f8fe4997d18cfc10f937c36927","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90ce321b390ed41051d559401f63698ba55255f8fe4997d18cfc10f937c36927","first_computed_at":"2026-07-05T06:13:10.015081Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:13:10.015081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"i3APRgBMqn8oeuz7+LPvFUZ7H8hQtW6tkqO5tgXOMfVuzujrtkLlkv25/dZmNA0XVUf2WbU2TosYr+Hxlfj6Ag==","signature_status":"signed_v1","signed_at":"2026-07-05T06:13:10.015561Z","signed_message":"canonical_sha256_bytes"},"source_id":"2301.08676","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6fa7b1e5242639443c78598e14a6f943c2b0725e07d10e231d30851380eb940a","sha256:1c356b8b6513270ec3b9d22afdfca38280da9e2dbf66454d1e48ec3dd16a8915"],"state_sha256":"16631a5a6660ca6fa6af26c04f4c46356345430d1f3edf97e0c2451e7beeeab7"}