{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:TLRTYRLVHUDXWI233YX4AVTHVQ","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":"b4ebfbdb33b1cfdd363ab326df9751e90c913838f9c8f8117b02bb17d6f3c92d","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-10-07T17:30:21Z","title_canon_sha256":"48dabb28d7fad4b9d3266c9b02e4a3196e7570e67e626095e20c9173b3620c2d"},"schema_version":"1.0","source":{"id":"1910.02925","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1910.02925","created_at":"2026-07-05T03:10:24Z"},{"alias_kind":"arxiv_version","alias_value":"1910.02925v3","created_at":"2026-07-05T03:10:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.02925","created_at":"2026-07-05T03:10:24Z"},{"alias_kind":"pith_short_12","alias_value":"TLRTYRLVHUDX","created_at":"2026-07-05T03:10:24Z"},{"alias_kind":"pith_short_16","alias_value":"TLRTYRLVHUDXWI23","created_at":"2026-07-05T03:10:24Z"},{"alias_kind":"pith_short_8","alias_value":"TLRTYRLV","created_at":"2026-07-05T03:10:24Z"}],"graph_snapshots":[{"event_id":"sha256:929ded93678580cf9b4c11f029e7fd025f350f22dfca4253bda3ce73dfa38b6f","target":"graph","created_at":"2026-07-05T03:10:24Z","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/1910.02925/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Abelian Chern-Simons theory, characterized by the so-called $K$ matrix, has been quite successful in characterizing and classifying Abelian fractional quantum hall effect (FQHE) as well as symmetry protected topological (SPT) phases, especially for bosonic SPT phases. However, there are still some puzzles in dealing with fermionic SPT(fSPT) phases. In this paper, we utilize the Abelian Chern-Simons theory to study the fSPT phases protected by arbitrary Abelian total symmetry $G_f$. Comparing to the bosonic SPT phases, fSPT phases with Abelian total symmetry $G_f$ has three new features: (1) it","authors_text":"Chenjie Wang, Qing-Rui Wang, Shang-Qiang Ning, Zheng-Cheng Gu","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-10-07T17:30:21Z","title":"Edge theories of 2D fermionic symmetry protected topological phases protected by unitary Abelian symmetries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.02925","kind":"arxiv","version":3},"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":"sha256:85da8c1784a6a97cfd63ae183b936d1cb57617f40375696e8a6a63bdf84545aa","target":"record","created_at":"2026-07-05T03:10:24Z","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":"b4ebfbdb33b1cfdd363ab326df9751e90c913838f9c8f8117b02bb17d6f3c92d","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-10-07T17:30:21Z","title_canon_sha256":"48dabb28d7fad4b9d3266c9b02e4a3196e7570e67e626095e20c9173b3620c2d"},"schema_version":"1.0","source":{"id":"1910.02925","kind":"arxiv","version":3}},"canonical_sha256":"9ae33c45753d077b235bde2fc05667ac065aefea5b0ad6b782a3dbcc0911acc1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ae33c45753d077b235bde2fc05667ac065aefea5b0ad6b782a3dbcc0911acc1","first_computed_at":"2026-07-05T03:10:24.416108Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:10:24.416108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QiginA9/BlZf2MV+AC5iVO+OMDEm6xcXUxBqmEH6qBtGQlq+QIk3YJNCJDp0DK++NFl4rOWkJ8+1wEhMgob8Dg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:10:24.416498Z","signed_message":"canonical_sha256_bytes"},"source_id":"1910.02925","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:85da8c1784a6a97cfd63ae183b936d1cb57617f40375696e8a6a63bdf84545aa","sha256:929ded93678580cf9b4c11f029e7fd025f350f22dfca4253bda3ce73dfa38b6f"],"state_sha256":"d2da816e98fe35f3ee7f56aa63fdcd568e0c422eaaae005c85807b45128c4f9d"}