{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:AAI32XORGSZKAWDXJ7MJLZ75EQ","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":"0039a37740b70426b0862b61b83abcf706aac2609ee0bf7967eeea2106e7c1b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-05-23T20:00:19Z","title_canon_sha256":"dc34055c3e2240230fbe39e199edcfc8577730724d9445e7f302cbcf51595a8a"},"schema_version":"1.0","source":{"id":"1605.07194","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.07194","created_at":"2026-05-18T01:04:09Z"},{"alias_kind":"arxiv_version","alias_value":"1605.07194v2","created_at":"2026-05-18T01:04:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.07194","created_at":"2026-05-18T01:04:09Z"},{"alias_kind":"pith_short_12","alias_value":"AAI32XORGSZK","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"AAI32XORGSZKAWDX","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"AAI32XOR","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:8c2f56cea58b45dc5525784b9142b93ee5cd93ecfffec7077f9a383848abbf7e","target":"graph","created_at":"2026-05-18T01:04:09Z","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"},"paper":{"abstract_excerpt":"We study indicators of broken time-reversal and parity symmetries in gapped topological phases of matter. We focus on phases realized by Levin-Wen string-net models, and generalize the string-net model to describe phases which break parity and time-reversal symmetries. We do this by introducing an extra degree of freedom into the string-net graphical calculus, which takes the form of a branch cut located at each vertex of the underlying string-net lattice. We also work with string-net graphs defined on arbitrary (non-trivalent) graphs, which reveals otherwise hidden information about certain c","authors_text":"Ethan Lake, Yong-Shi Wu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-05-23T20:00:19Z","title":"Signatures of broken parity and time-reversal symmetry in generalized string-net models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.07194","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:c2ac5643119703fdbbedb65d7ec278b3704fe7e844fcc5d74d2fd65a73aaabd9","target":"record","created_at":"2026-05-18T01:04:09Z","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":"0039a37740b70426b0862b61b83abcf706aac2609ee0bf7967eeea2106e7c1b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-05-23T20:00:19Z","title_canon_sha256":"dc34055c3e2240230fbe39e199edcfc8577730724d9445e7f302cbcf51595a8a"},"schema_version":"1.0","source":{"id":"1605.07194","kind":"arxiv","version":2}},"canonical_sha256":"0011bd5dd134b2a058774fd895e7fd24113ce1e6d5f152e29dd0812c8b5db6c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0011bd5dd134b2a058774fd895e7fd24113ce1e6d5f152e29dd0812c8b5db6c1","first_computed_at":"2026-05-18T01:04:09.023058Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:09.023058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"294EI/xw1qStvCl3TJpOtDrTYyzT7PkZw8MKRW+4d/T0/grrlvKLzEGhPpW3F4c/W0Nymk8GZ1zSS407+YCzCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:09.023745Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.07194","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c2ac5643119703fdbbedb65d7ec278b3704fe7e844fcc5d74d2fd65a73aaabd9","sha256:8c2f56cea58b45dc5525784b9142b93ee5cd93ecfffec7077f9a383848abbf7e"],"state_sha256":"84eeff65f7b3ca53f43a8c57240fc56f3f8a34e53eea58505afbcfd16b49e312"}