{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:5RNOKX5WJ2CPLFRBLCPFHQFIGC","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":"f97500cadaf8082f80cb8cb38a11112cdb6a8ca0b802f369fd5a4e9daf9c8fb6","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-10-22T02:28:04Z","title_canon_sha256":"0814f984be3e88cdb6e64add20de05d8d70d8362c8436b08e47c413620667399"},"schema_version":"1.0","source":{"id":"1010.4603","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.4603","created_at":"2026-05-18T04:20:59Z"},{"alias_kind":"arxiv_version","alias_value":"1010.4603v1","created_at":"2026-05-18T04:20:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.4603","created_at":"2026-05-18T04:20:59Z"},{"alias_kind":"pith_short_12","alias_value":"5RNOKX5WJ2CP","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"5RNOKX5WJ2CPLFRB","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"5RNOKX5W","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:f52ae629ea3c93715e5f2b85a26db22cf08202d164d03747bf04e49ed7b1ad76","target":"graph","created_at":"2026-05-18T04:20:59Z","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":"We propose a new write channel model for bit-patterned media recording that reflects the data dependence of write synchronization errors. It is shown that this model accommodates both substitution-like errors and insertion-deletion errors whose statistics are determined by an underlying channel state process. We study information theoretic properties of the write channel model, including the capacity, symmetric information rate, Markov-1 rate and the zero-error capacity.","authors_text":"Aravind R. Iyengar, Jack K. Wolf, Paul H. Siegel","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-10-22T02:28:04Z","title":"Write Channel Model for Bit-Patterned Media Recording"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.4603","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":"sha256:7608bc1ceecd67756422517bbb8ac4a3acdacf2457a2798c267b216287ab4eb9","target":"record","created_at":"2026-05-18T04:20:59Z","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":"f97500cadaf8082f80cb8cb38a11112cdb6a8ca0b802f369fd5a4e9daf9c8fb6","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2010-10-22T02:28:04Z","title_canon_sha256":"0814f984be3e88cdb6e64add20de05d8d70d8362c8436b08e47c413620667399"},"schema_version":"1.0","source":{"id":"1010.4603","kind":"arxiv","version":1}},"canonical_sha256":"ec5ae55fb64e84f59621589e53c0a830b1b0966b814f93c01b876f10ee29cc4d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ec5ae55fb64e84f59621589e53c0a830b1b0966b814f93c01b876f10ee29cc4d","first_computed_at":"2026-05-18T04:20:59.104869Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:20:59.104869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"psYdluIFeRYZei+VeNQOro7uwnmF2fW47E/d8qSfikgWqqBCWpk2xuWFtE2Amd30HjOlGz3vYSa85sbYUaqJDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:20:59.105369Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.4603","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7608bc1ceecd67756422517bbb8ac4a3acdacf2457a2798c267b216287ab4eb9","sha256:f52ae629ea3c93715e5f2b85a26db22cf08202d164d03747bf04e49ed7b1ad76"],"state_sha256":"0543c64107601617e42eb474fa0462581c0f4bdb9b9c3efc93d962f528fe920a"}