{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:54HGJLWSWJGB5FRJLUN2CBV55I","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":"cdd0f7a8067f9917cc2e6802b5e39cceabff3e2ecf82c78d65ef20444d35eb2e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-15T12:40:56Z","title_canon_sha256":"c178ad7eefbd62c617d9ae017626997db80a76cddb9eabcb29dcf3f8c860c4aa"},"schema_version":"1.0","source":{"id":"2607.13784","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.13784","created_at":"2026-07-16T01:23:06Z"},{"alias_kind":"arxiv_version","alias_value":"2607.13784v1","created_at":"2026-07-16T01:23:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.13784","created_at":"2026-07-16T01:23:06Z"},{"alias_kind":"pith_short_12","alias_value":"54HGJLWSWJGB","created_at":"2026-07-16T01:23:06Z"},{"alias_kind":"pith_short_16","alias_value":"54HGJLWSWJGB5FRJ","created_at":"2026-07-16T01:23:06Z"},{"alias_kind":"pith_short_8","alias_value":"54HGJLWS","created_at":"2026-07-16T01:23:06Z"}],"graph_snapshots":[{"event_id":"sha256:022cd5e414fe003caeeb29b53a42c537c68b44fcb5b5e86851f9d3e40dfcd68c","target":"graph","created_at":"2026-07-16T01:23:06Z","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/2607.13784/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a framework for foliating any Pauli-based quantum error-correcting code over prime-dimensional qudits. For any such code, we obtain a qudit graph state that can be measured to perform fault-tolerant measurement-based quantum computing. Such a paradigm is of interest in platforms such as photonics, where measurement-based protocols are natural and high-dimensional states are readily available. We discuss several examples for arbitrary prime dimension $d$, such as the qudit toric code (stabilizer, CSS), the $d$-dimensional perfect $[[5,1,3]]$ code (stabilizer, non-CSS), and a straight","authors_text":"G\\\"ozde \\\"Ust\\\"un, Jason Saied, Simon J. Devitt","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-15T12:40:56Z","title":"Foliated Quantum Error Correction for Qudits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.13784","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:fb0ae41840aad24de440f0eb0a35adc831a078de1f77b2cd5e62685a6eac3995","target":"record","created_at":"2026-07-16T01:23:06Z","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":"cdd0f7a8067f9917cc2e6802b5e39cceabff3e2ecf82c78d65ef20444d35eb2e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-15T12:40:56Z","title_canon_sha256":"c178ad7eefbd62c617d9ae017626997db80a76cddb9eabcb29dcf3f8c860c4aa"},"schema_version":"1.0","source":{"id":"2607.13784","kind":"arxiv","version":1}},"canonical_sha256":"ef0e64aed2b24c1e96295d1ba106bdea36a194b4fa8465fa7c85dc532f26b733","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ef0e64aed2b24c1e96295d1ba106bdea36a194b4fa8465fa7c85dc532f26b733","first_computed_at":"2026-07-16T01:23:06.346545Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-16T01:23:06.346545Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NQgiM+rm5wzikY5o1+g7MVqjHVC6GXzqzhzm8ebd8o2YuPtNPcBnQFL6GazBf+e38SdACWomn1Cg6qaeh7FkBg==","signature_status":"signed_v1","signed_at":"2026-07-16T01:23:06.347353Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.13784","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb0ae41840aad24de440f0eb0a35adc831a078de1f77b2cd5e62685a6eac3995","sha256:022cd5e414fe003caeeb29b53a42c537c68b44fcb5b5e86851f9d3e40dfcd68c"],"state_sha256":"3e7f6925f577a0fc9c9801ef2ced05e352e8ce03d3fcbd77cc4381462fd10fb8"}