{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:XKZ6TV7RSNK44WQ3WITKLHPRIW","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":"12b2cb720c243c145f50692839b2355cfcf0cdf777e12e70d7967c453241d45a","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2023-10-31T18:02:01Z","title_canon_sha256":"80aa5d1084fcc2e465753bc02d3f042aa25e4a9c948665d95b8fba092407185a"},"schema_version":"1.0","source":{"id":"2311.00050","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.00050","created_at":"2026-07-05T07:07:41Z"},{"alias_kind":"arxiv_version","alias_value":"2311.00050v1","created_at":"2026-07-05T07:07:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.00050","created_at":"2026-07-05T07:07:41Z"},{"alias_kind":"pith_short_12","alias_value":"XKZ6TV7RSNK4","created_at":"2026-07-05T07:07:41Z"},{"alias_kind":"pith_short_16","alias_value":"XKZ6TV7RSNK44WQ3","created_at":"2026-07-05T07:07:41Z"},{"alias_kind":"pith_short_8","alias_value":"XKZ6TV7R","created_at":"2026-07-05T07:07:41Z"}],"graph_snapshots":[{"event_id":"sha256:8734439a298921d4578b41075a728a4abad4c748e23b58d33a005cbd074c213e","target":"graph","created_at":"2026-07-05T07:07:41Z","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/2311.00050/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Symmetry topological field theory (SymTFT) gives a holographic correspondence between systems with a global symmetry and a higher-dimensional topological field theory. In this framework, classification of gapped phases of matter in spacetime dimension 1+1D correspond to classifications of mechanisms to confine the SymTFT by condensing anyons. In this work, we extend these results to characterize gapless symmetry-protected topological states: symmetry-enriched gapless phases or critical points that exhibit edge modes protected by symmetry and topology. We establish a one-to-one correspondence b","authors_text":"Andrew C. Potter, Rui Wen","cross_cats":["hep-th","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2023-10-31T18:02:01Z","title":"Classification of 1+1D gapless symmetry protected phases via topological holography"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.00050","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":"sha256:53a95486e8cd10636247ffed876f930c0330185946090ab156e30865e3e2e236","target":"record","created_at":"2026-07-05T07:07:41Z","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":"12b2cb720c243c145f50692839b2355cfcf0cdf777e12e70d7967c453241d45a","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2023-10-31T18:02:01Z","title_canon_sha256":"80aa5d1084fcc2e465753bc02d3f042aa25e4a9c948665d95b8fba092407185a"},"schema_version":"1.0","source":{"id":"2311.00050","kind":"arxiv","version":1}},"canonical_sha256":"bab3e9d7f19355ce5a1bb226a59df145b817269b688af61ef080b73a86b93be9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bab3e9d7f19355ce5a1bb226a59df145b817269b688af61ef080b73a86b93be9","first_computed_at":"2026-07-05T07:07:41.447996Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:07:41.447996Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iLHLiF+tmHQt70WYrb01mJHmr2NWeMnaatRH++fymJNmZSTrT4PZUymj5k0mwNPu/lZFiqbMqsNYCR/I4luiDw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:07:41.448481Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.00050","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53a95486e8cd10636247ffed876f930c0330185946090ab156e30865e3e2e236","sha256:8734439a298921d4578b41075a728a4abad4c748e23b58d33a005cbd074c213e"],"state_sha256":"c118dd37d11b099a77602d7f9ac124184931941d88c05e5d8c6fcc417268d685"}