{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:DARDKMWLKFCMBWKDNID5WCUAR5","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":"c9abc7fd479f4a973ae4985ffb64c2e3352a5797e8e50b0b1fa9d02ca3b21ffa","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-11-19T20:29:42Z","title_canon_sha256":"a3c2ce4a48ce0dbc9b819636688a0e1d24f4fcf5f3e4522a06efc90a0dd379ef"},"schema_version":"1.0","source":{"id":"1311.4864","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.4864","created_at":"2026-05-18T03:06:43Z"},{"alias_kind":"arxiv_version","alias_value":"1311.4864v1","created_at":"2026-05-18T03:06:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.4864","created_at":"2026-05-18T03:06:43Z"},{"alias_kind":"pith_short_12","alias_value":"DARDKMWLKFCM","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"DARDKMWLKFCMBWKD","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"DARDKMWL","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:cfa709cd5c272d082f478dcb5141d6db0a7c1b27c827b55d767f129dd9ae5f9a","target":"graph","created_at":"2026-05-18T03:06:43Z","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":"Local rank modulation scheme was suggested recently for representing information in flash memories in order to overcome drawbacks of rank modulation. For $s\\leq t\\leq n$ with $s|n$, $(s,t,n)$-LRM scheme is a local rank modulation scheme where the $n$ cells are locally viewed through a sliding window of size $t$ resulting in a sequence of small permutations which requires less comparisons and less distinct values. The distance between two windows equals to $s$. To get the simplest hardware implementation the case of sliding window of size two was presented. Gray codes and constant weight Gray c","authors_text":"Michal Horovitz","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-11-19T20:29:42Z","title":"Local Rank Modulation for Flash Memories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.4864","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":"sha256:4a61de96380ded7b33e7d5f375ecfb626750eb9731af37ae58085d5c27b87b00","target":"record","created_at":"2026-05-18T03:06:43Z","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":"c9abc7fd479f4a973ae4985ffb64c2e3352a5797e8e50b0b1fa9d02ca3b21ffa","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-11-19T20:29:42Z","title_canon_sha256":"a3c2ce4a48ce0dbc9b819636688a0e1d24f4fcf5f3e4522a06efc90a0dd379ef"},"schema_version":"1.0","source":{"id":"1311.4864","kind":"arxiv","version":1}},"canonical_sha256":"18223532cb5144c0d9436a07db0a808f535bdcf64fab9776aa853143c32f9c33","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"18223532cb5144c0d9436a07db0a808f535bdcf64fab9776aa853143c32f9c33","first_computed_at":"2026-05-18T03:06:43.317914Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:06:43.317914Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0/6CC4EgXKTC1VVkHc4uI/GCf+2FG8x0ut/1eiHTWC7GeHngbGb0VSo2wBpvEXsYUUvuoPmXAnjdEGHukTVbAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:06:43.318328Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.4864","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a61de96380ded7b33e7d5f375ecfb626750eb9731af37ae58085d5c27b87b00","sha256:cfa709cd5c272d082f478dcb5141d6db0a7c1b27c827b55d767f129dd9ae5f9a"],"state_sha256":"61e695c499efa08b4a8693269e4708953f3fe7a2b554d029f921b03c5a192bfd"}