{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:DCR3JSNDVFVU77TC7J2MD7G6GF","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":"414f280ed6bb269c5aad2fb426d923b6a3fd37dae597f5fa7274f7a95217c717","cross_cats_sorted":["cond-mat.str-el"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-03-18T18:00:00Z","title_canon_sha256":"1f462d5669ceadbdbec514697d38b2c75eb109a33aa0d79e310bd169b2d814ba"},"schema_version":"1.0","source":{"id":"2403.12119","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.12119","created_at":"2026-07-05T10:39:09Z"},{"alias_kind":"arxiv_version","alias_value":"2403.12119v3","created_at":"2026-07-05T10:39:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.12119","created_at":"2026-07-05T10:39:09Z"},{"alias_kind":"pith_short_12","alias_value":"DCR3JSNDVFVU","created_at":"2026-07-05T10:39:09Z"},{"alias_kind":"pith_short_16","alias_value":"DCR3JSNDVFVU77TC","created_at":"2026-07-05T10:39:09Z"},{"alias_kind":"pith_short_8","alias_value":"DCR3JSND","created_at":"2026-07-05T10:39:09Z"}],"graph_snapshots":[{"event_id":"sha256:9d1355388dbdc470ff4f25c87b42efd5a4cdc22245645e8da34885ecdbb30c0d","target":"graph","created_at":"2026-07-05T10:39:09Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2403.12119/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a family of explicit geometrically local circuits on a 2-dimensional planar grid of qudits, realizing any abelian non-chiral topological phase as an actively error-corrected fault-tolerant memory. These circuits are constructed from measuring 1-form symmetries in discrete fixed-point path integrals, which we express through cellular cohomology and higher-order cup products. The specific path integral we use is the abelian Dijkgraaf-Witten state sum on a 3-dimensional cellulation, which is a spacetime representation of the twisted quantum double model. The resulting circuits are base","authors_text":"Andreas Bauer","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-03-18T18:00:00Z","title":"Low-overhead non-Clifford fault-tolerant circuits for all non-chiral abelian topological phases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.12119","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":"sha256:727a0b2c340a644cd6763b0601983f869a5ab02993190c0bafc81f0930f251ed","target":"record","created_at":"2026-07-05T10:39:09Z","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":"414f280ed6bb269c5aad2fb426d923b6a3fd37dae597f5fa7274f7a95217c717","cross_cats_sorted":["cond-mat.str-el"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-03-18T18:00:00Z","title_canon_sha256":"1f462d5669ceadbdbec514697d38b2c75eb109a33aa0d79e310bd169b2d814ba"},"schema_version":"1.0","source":{"id":"2403.12119","kind":"arxiv","version":3}},"canonical_sha256":"18a3b4c9a3a96b4ffe62fa74c1fcde314d4bbe02a4795ee1bae5e8f98597db5d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"18a3b4c9a3a96b4ffe62fa74c1fcde314d4bbe02a4795ee1bae5e8f98597db5d","first_computed_at":"2026-07-05T10:39:09.014066Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:39:09.014066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"369XLOidVG5a4e3ZsvAIQfB50OvBNYKKuSzEv8m7H6Jd98rcGtz3xC96qZICiUvpSoKI+3xh230q52OyZlroDA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:39:09.014523Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.12119","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:727a0b2c340a644cd6763b0601983f869a5ab02993190c0bafc81f0930f251ed","sha256:9d1355388dbdc470ff4f25c87b42efd5a4cdc22245645e8da34885ecdbb30c0d"],"state_sha256":"4195b99359045f7d3ccabb8a06898b8789e0a397c2feea39ab938c6a98827084"}