{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:6F7TS4IZCJTVTIHFRDNCF34T7K","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":"63310f94d4d540dee4d2043598ae23e51179566142c1a8639da91c7aa84a24c8","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-10-12T03:00:26Z","title_canon_sha256":"1d338aa09c18384d513c2c0a10052a9c9619b3f3e4bc28317191669350852416"},"schema_version":"1.0","source":{"id":"1110.2557","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.2557","created_at":"2026-05-18T04:11:08Z"},{"alias_kind":"arxiv_version","alias_value":"1110.2557v1","created_at":"2026-05-18T04:11:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.2557","created_at":"2026-05-18T04:11:08Z"},{"alias_kind":"pith_short_12","alias_value":"6F7TS4IZCJTV","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6F7TS4IZCJTVTIHF","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6F7TS4IZ","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:955153b919a89679fbfc21a170dfb8458c8b88c223680e9373f048d398fbf4f1","target":"graph","created_at":"2026-05-18T04:11:08Z","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":"Rank modulation is a way of encoding information to correct errors in flash memory devices as well as impulse noise in transmission lines. Modeling rank modulation involves construction of packings of the space of permutations equipped with the Kendall tau distance.\n  We present several general constructions of codes in permutations that cover a broad range of code parameters. In particular, we show a number of ways in which conventional error-correcting codes can be modified to correct errors in the Kendall space. Codes that we construct afford simple encoding and decoding algorithms of essen","authors_text":"Alexander Barg, Arya Mazumdar, Gilles Z\\'emor","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-10-12T03:00:26Z","title":"Constructions of Rank Modulation Codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.2557","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":"sha256:77b9875d762b2fe42bd4222a3e556c2bdb9cf26222ed49b6b334ebd48f4d288f","target":"record","created_at":"2026-05-18T04:11:08Z","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":"63310f94d4d540dee4d2043598ae23e51179566142c1a8639da91c7aa84a24c8","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-10-12T03:00:26Z","title_canon_sha256":"1d338aa09c18384d513c2c0a10052a9c9619b3f3e4bc28317191669350852416"},"schema_version":"1.0","source":{"id":"1110.2557","kind":"arxiv","version":1}},"canonical_sha256":"f17f397119126759a0e588da22ef93faaa468bb539a03c44431755afffa25379","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f17f397119126759a0e588da22ef93faaa468bb539a03c44431755afffa25379","first_computed_at":"2026-05-18T04:11:08.039170Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:11:08.039170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YbtGvb41ApHhp2vOoUNZOu36ONkZrAAqUSfBeC3XT8yC7LzBH1MnyuW7i7ia5SFDIDCtZ8FNGqbzJMJ2Af2/Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:11:08.039709Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.2557","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:77b9875d762b2fe42bd4222a3e556c2bdb9cf26222ed49b6b334ebd48f4d288f","sha256:955153b919a89679fbfc21a170dfb8458c8b88c223680e9373f048d398fbf4f1"],"state_sha256":"8f32d272d3b4ff1c6ea14bbf2093b1b07731ab8a1bcb11b6b5754197901f112c"}