{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:J6RWBHCJCDUEKUNCRM45VLRL2E","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":"61e3ed0f7f17c0ea8753b21ded84ce4358c65268a2f76b9f70dc1d8330ed560a","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-03-31T10:34:26Z","title_canon_sha256":"f3ba63da57314d365ae3f3f325048aa50579e99fbfb80137973b765dc43a5129"},"schema_version":"1.0","source":{"id":"1304.0183","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.0183","created_at":"2026-05-18T00:58:17Z"},{"alias_kind":"arxiv_version","alias_value":"1304.0183v1","created_at":"2026-05-18T00:58:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.0183","created_at":"2026-05-18T00:58:17Z"},{"alias_kind":"pith_short_12","alias_value":"J6RWBHCJCDUE","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"J6RWBHCJCDUEKUNC","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"J6RWBHCJ","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:3bb243182d368fa9afb48c2db0f04b2d8a1f26848b7a7f80611d1ae1e5e0b0a8","target":"graph","created_at":"2026-05-18T00:58:17Z","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":"Data processing lower bounds on the expected distortion are derived in the finite-alphabet semi-deterministic setting, where the source produces a deterministic, individual sequence, but the channel model is probabilistic, and the decoder is subjected to various kinds of limitations, e.g., decoders implementable by finite-state machines, with or without counters, and with or without a restriction of common reconstruction with high probability. Some of our bounds are given in terms of the Lempel-Ziv complexity of the source sequence or the reproduction sequence. We also demonstrate how some ana","authors_text":"Neri Merhav","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-03-31T10:34:26Z","title":"On the data processing theorem in the semi-deterministic setting"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.0183","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:c2335acb374cc60c14cb2539bdf53dce674e4f6c9c8fee406e3becdf155b0bf6","target":"record","created_at":"2026-05-18T00:58:17Z","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":"61e3ed0f7f17c0ea8753b21ded84ce4358c65268a2f76b9f70dc1d8330ed560a","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-03-31T10:34:26Z","title_canon_sha256":"f3ba63da57314d365ae3f3f325048aa50579e99fbfb80137973b765dc43a5129"},"schema_version":"1.0","source":{"id":"1304.0183","kind":"arxiv","version":1}},"canonical_sha256":"4fa3609c4910e84551a28b39daae2bd10f76200ec679fce66377f513991529f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4fa3609c4910e84551a28b39daae2bd10f76200ec679fce66377f513991529f5","first_computed_at":"2026-05-18T00:58:17.457079Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:17.457079Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d0laYICx82LhgdlBreH7xCUFikb0e86tohT4IKmM4d8Ij2PCQdn9eBEA/cDAxh5uikI/rTZXyGm0q0FHW1QpBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:17.457802Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.0183","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c2335acb374cc60c14cb2539bdf53dce674e4f6c9c8fee406e3becdf155b0bf6","sha256:3bb243182d368fa9afb48c2db0f04b2d8a1f26848b7a7f80611d1ae1e5e0b0a8"],"state_sha256":"7679a67a63752eca12b110f076cc40c09db0da3abd3d1d96b4555a93b6ede680"}