{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:GAMM4IXHFLS4RIBG2YCNMP5TV3","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":"0b6afb8dc2694f9df5e8189aa8ed10cf6f2cb8095e5844faef6cc9a1e0e4cc8e","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-08-05T15:24:27Z","title_canon_sha256":"2ebd1c222590459abf063ab8df3624d1c6e4f803f652f6aa99a1899cb1336607"},"schema_version":"1.0","source":{"id":"2608.04953","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.04953","created_at":"2026-08-06T01:47:45Z"},{"alias_kind":"arxiv_version","alias_value":"2608.04953v1","created_at":"2026-08-06T01:47:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.04953","created_at":"2026-08-06T01:47:45Z"},{"alias_kind":"pith_short_12","alias_value":"GAMM4IXHFLS4","created_at":"2026-08-06T01:47:45Z"},{"alias_kind":"pith_short_16","alias_value":"GAMM4IXHFLS4RIBG","created_at":"2026-08-06T01:47:45Z"},{"alias_kind":"pith_short_8","alias_value":"GAMM4IXH","created_at":"2026-08-06T01:47:45Z"}],"graph_snapshots":[{"event_id":"sha256:9f78f1105da4831bee1f1994cece7e61c46ea1911bc4edd1750f1248e7acb05f","target":"graph","created_at":"2026-08-06T01:47:45Z","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/2608.04953/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Fast preparation of quantum error-correcting codes is essential for scalable quantum memories, but geometric locality and $U(1)$ charge conservation impose an unavoidable transport constraint. We combine exact complementary-channel geometry, charge-sector Haar analysis, and a gate-resolved connected-moment expansion to study one-dimensional covariant encoders under flagged erasure. Charge-Haar codes attain the universal adjacent-charge lower bound up to exponentially small corrections, yielding an exact $n^{-1/2}$ extensive-erasure law and a sharp half-erasure transition. For local number-cons","authors_text":"Jianqi Sheng","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-08-05T15:24:27Z","title":"Diffusive Speed Limits for U(1)-Covariant Quantum Error Correction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.04953","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":"sha256:571b2e9dc07f92cf7d3275e8996202009ffccc4ed39a5f4cd7d1ef11030a3db6","target":"record","created_at":"2026-08-06T01:47:45Z","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":"0b6afb8dc2694f9df5e8189aa8ed10cf6f2cb8095e5844faef6cc9a1e0e4cc8e","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-08-05T15:24:27Z","title_canon_sha256":"2ebd1c222590459abf063ab8df3624d1c6e4f803f652f6aa99a1899cb1336607"},"schema_version":"1.0","source":{"id":"2608.04953","kind":"arxiv","version":1}},"canonical_sha256":"3018ce22e72ae5c8a026d604d63fb3aed45648be7541920ed089f40e44fd73e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3018ce22e72ae5c8a026d604d63fb3aed45648be7541920ed089f40e44fd73e7","first_computed_at":"2026-08-06T01:47:45.771788Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-06T01:47:45.771788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p0SenvwrXYzA60SmCDNcPdAvKBAf59u8sREZRXh01+r+QZQ+msQvkZhRzpoXhN1pkVnFnMG9naoTUgr7Lrn9AQ==","signature_status":"signed_v1","signed_at":"2026-08-06T01:47:45.773247Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.04953","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:571b2e9dc07f92cf7d3275e8996202009ffccc4ed39a5f4cd7d1ef11030a3db6","sha256:9f78f1105da4831bee1f1994cece7e61c46ea1911bc4edd1750f1248e7acb05f"],"state_sha256":"db85bc09dd517166f783a35c7a5434f56a7fe3fa698b412ff3c6b4edd1940f6e"}