{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:PKEE2W73BZPR2BQHWCYNGZCZZI","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":"32403a4f9f9f28430c9ef0b6e537a56e5934bc3d0bd93bf7cbcb93697782cf9c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-08-09T14:41:39Z","title_canon_sha256":"53abf9ca2f0301edcbac6f3b8e259aaf7d6dc59151bfaf1ef91aa63a1e5e26fb"},"schema_version":"1.0","source":{"id":"1208.1924","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.1924","created_at":"2026-05-18T02:21:01Z"},{"alias_kind":"arxiv_version","alias_value":"1208.1924v1","created_at":"2026-05-18T02:21:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.1924","created_at":"2026-05-18T02:21:01Z"},{"alias_kind":"pith_short_12","alias_value":"PKEE2W73BZPR","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PKEE2W73BZPR2BQH","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PKEE2W73","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:ae64788ba9556611ea3b625fc773113e45912aa72291d1be403bb45ac9dcdbd5","target":"graph","created_at":"2026-05-18T02:21:01Z","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 consider block codes whose rate converges to the channel capacity with increasing block length at a certain speed and examine the best possible decay of the probability of error. We prove that a moderate deviation principle holds for all convergence rates between the large deviation and the central limit theorem regimes.","authors_text":"Aaron B. Wagner, Yucel Altug","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-08-09T14:41:39Z","title":"Moderate Deviations in Channel Coding"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.1924","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":"sha256:5086de8d4efe34afb2df6b67d8979dec5763f03a80b818b01dc9b41f44187415","target":"record","created_at":"2026-05-18T02:21:01Z","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":"32403a4f9f9f28430c9ef0b6e537a56e5934bc3d0bd93bf7cbcb93697782cf9c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-08-09T14:41:39Z","title_canon_sha256":"53abf9ca2f0301edcbac6f3b8e259aaf7d6dc59151bfaf1ef91aa63a1e5e26fb"},"schema_version":"1.0","source":{"id":"1208.1924","kind":"arxiv","version":1}},"canonical_sha256":"7a884d5bfb0e5f1d0607b0b0d36459ca35a531116da3192a95ea667b8e9c16bd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a884d5bfb0e5f1d0607b0b0d36459ca35a531116da3192a95ea667b8e9c16bd","first_computed_at":"2026-05-18T02:21:01.366783Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:01.366783Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lmXf8d49jpT14I/Gw9SzypyXAi+i0PtDflB8E5Q1/LJ38Nn2ruAHy0t68jOGt88t23kppizsnOshtfyYH/g9Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:01.367446Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.1924","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5086de8d4efe34afb2df6b67d8979dec5763f03a80b818b01dc9b41f44187415","sha256:ae64788ba9556611ea3b625fc773113e45912aa72291d1be403bb45ac9dcdbd5"],"state_sha256":"901eae2e877c4e633a7739d0449f528db9a6628434eb0e54f84079b1b4f98341"}