{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:O3CBEWNVD2MT2NXSDASJWKD5OF","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":"1e459c56d887a853d6b1f090cfb783b6fce8db192048db555012c80be920c954","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-07-11T18:00:01Z","title_canon_sha256":"57db51fff853c1a3bdf8bbe73e621766d9f9b6293fe9650ca4639eea8b6bbee0"},"schema_version":"1.0","source":{"id":"2207.05092","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.05092","created_at":"2026-07-05T06:15:14Z"},{"alias_kind":"arxiv_version","alias_value":"2207.05092v2","created_at":"2026-07-05T06:15:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.05092","created_at":"2026-07-05T06:15:14Z"},{"alias_kind":"pith_short_12","alias_value":"O3CBEWNVD2MT","created_at":"2026-07-05T06:15:14Z"},{"alias_kind":"pith_short_16","alias_value":"O3CBEWNVD2MT2NXS","created_at":"2026-07-05T06:15:14Z"},{"alias_kind":"pith_short_8","alias_value":"O3CBEWNV","created_at":"2026-07-05T06:15:14Z"}],"graph_snapshots":[{"event_id":"sha256:32508c3ab5f2e5d2403310fa4d613578e59cf9f95bf1f1a1adee18472b1f8ede","target":"graph","created_at":"2026-07-05T06:15:14Z","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/2207.05092/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We incorporate the microscopic assumptions that lead to a certain generalization of the Lieb-Schultz-Mattis (LSM) theorem for one-dimensional spin chains into the conformal bootstrap. Our approach accounts for the \"LSM anomaly\" possessed by these spin chains through a combination of modular bootstrap and correlator bootstrap of symmetry defect operators. We thus obtain universal bounds on the local operator content of (1+1)$d$ conformal field theories (CFTs) that could describe translationally invariant lattice Hamiltonians with a $\\mathbb Z_N\\times \\mathbb Z_N$ symmetry realized projectively ","authors_text":"Lukasz Fidkowski, Ryan A. Lanzetta","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-07-11T18:00:01Z","title":"Bootstrapping Lieb-Schultz-Mattis anomalies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.05092","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":"sha256:870b627315bd25a68f55a6dbd51c12bb9de67577838f8853b99c9bf682b6fd7a","target":"record","created_at":"2026-07-05T06:15:14Z","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":"1e459c56d887a853d6b1f090cfb783b6fce8db192048db555012c80be920c954","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-07-11T18:00:01Z","title_canon_sha256":"57db51fff853c1a3bdf8bbe73e621766d9f9b6293fe9650ca4639eea8b6bbee0"},"schema_version":"1.0","source":{"id":"2207.05092","kind":"arxiv","version":2}},"canonical_sha256":"76c41259b51e993d36f218249b287d71467ab1faccf9f366974768e2a098793d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"76c41259b51e993d36f218249b287d71467ab1faccf9f366974768e2a098793d","first_computed_at":"2026-07-05T06:15:14.253024Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:15:14.253024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CeqgFPk5eAm8CMMvHdWs000DdbKwR39yaeGeUE7P05XrLz6INRSebmGLvDWscaUrTvHqrw5fqPnW91JoE/p5Cw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:15:14.253490Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.05092","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:870b627315bd25a68f55a6dbd51c12bb9de67577838f8853b99c9bf682b6fd7a","sha256:32508c3ab5f2e5d2403310fa4d613578e59cf9f95bf1f1a1adee18472b1f8ede"],"state_sha256":"9a942deee7b5f750e9f41d410903d7e2caa6f1c80861be766e87f558f06575fd"}