{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:FJWHB7DCQD5L7PI6FP7TLFQBTS","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":"2bc8657ab9a376aca9163ba31cc799da2989288d6e109c1641f80beb6425f039","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2020-01-08T00:48:14Z","title_canon_sha256":"030f3e4304a828539a90a5a5af61f47d379a953a7ebd70305748fe5ece18ab46"},"schema_version":"1.0","source":{"id":"2001.02325","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2001.02325","created_at":"2026-07-05T01:57:36Z"},{"alias_kind":"arxiv_version","alias_value":"2001.02325v1","created_at":"2026-07-05T01:57:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2001.02325","created_at":"2026-07-05T01:57:36Z"},{"alias_kind":"pith_short_12","alias_value":"FJWHB7DCQD5L","created_at":"2026-07-05T01:57:36Z"},{"alias_kind":"pith_short_16","alias_value":"FJWHB7DCQD5L7PI6","created_at":"2026-07-05T01:57:36Z"},{"alias_kind":"pith_short_8","alias_value":"FJWHB7DC","created_at":"2026-07-05T01:57:36Z"}],"graph_snapshots":[{"event_id":"sha256:ea958dc40cb0fce2a0cacd9ceca90d2d42dc747d49e7fb9133d00125b2f266a4","target":"graph","created_at":"2026-07-05T01:57:36Z","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/2001.02325/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Flash memory devices are winning the competition for storage density against magnetic recording devices. This outcome results from advances in physics that allow storage of more than one bit per cell, coupled with advances in signal processing that reduce the effect of physical instabilities. Constrained codes are used in storage to avoid problematic patterns. Recently, we introduced binary symmetric lexicographically-ordered constrained codes (LOCO codes) for data storage and data transmission. This paper introduces simple constrained codes that support non-binary physical substrates; multi, ","authors_text":"Ahmed Hareedy, Beyza Dabak, Robert Calderbank","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2020-01-08T00:48:14Z","title":"Managing Device Lifecycle: Reconfigurable Constrained Codes for M/T/Q/P-LC Flash Memories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2001.02325","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":"sha256:72dc03ded37842b707710abec5fb1e159cd032f14d9eafbeea33d443568ac17c","target":"record","created_at":"2026-07-05T01:57:36Z","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":"2bc8657ab9a376aca9163ba31cc799da2989288d6e109c1641f80beb6425f039","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2020-01-08T00:48:14Z","title_canon_sha256":"030f3e4304a828539a90a5a5af61f47d379a953a7ebd70305748fe5ece18ab46"},"schema_version":"1.0","source":{"id":"2001.02325","kind":"arxiv","version":1}},"canonical_sha256":"2a6c70fc6280fabfbd1e2bff3596019ca5fd4f28da3b36852cfb7630012852cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a6c70fc6280fabfbd1e2bff3596019ca5fd4f28da3b36852cfb7630012852cc","first_computed_at":"2026-07-05T01:57:36.019744Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:57:36.019744Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UUSy4ghHInjZk2x6U33pi08h3bhXBxpuSwv3CdWPyZGgbpIlVQ9MR7QMRyAFHPI/UOdYx6Voj0HpkgbdvPoTCg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:57:36.020070Z","signed_message":"canonical_sha256_bytes"},"source_id":"2001.02325","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72dc03ded37842b707710abec5fb1e159cd032f14d9eafbeea33d443568ac17c","sha256:ea958dc40cb0fce2a0cacd9ceca90d2d42dc747d49e7fb9133d00125b2f266a4"],"state_sha256":"0988668d1890cbfe34288889fff65492c39fad25ce4e6a281a87b469d783320c"}