{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VWRIGFCQ6WUG7C74WTAD7VZ525","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":"2ae13d4c611d4b5ad46916bd5e286947891ca19df7120e2534d1ce4ea7070d9b","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-04-04T23:16:22Z","title_canon_sha256":"1157a52feca032d33cb6c4f798edd2b3199319d851d2b5b42b44d78840719e64"},"schema_version":"1.0","source":{"id":"1704.01215","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.01215","created_at":"2026-05-18T00:46:58Z"},{"alias_kind":"arxiv_version","alias_value":"1704.01215v1","created_at":"2026-05-18T00:46:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.01215","created_at":"2026-05-18T00:46:58Z"},{"alias_kind":"pith_short_12","alias_value":"VWRIGFCQ6WUG","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VWRIGFCQ6WUG7C74","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VWRIGFCQ","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:109cd5137ac4a23a8abb9f54489aef94748bce827e3b92c2f469469d70becde2","target":"graph","created_at":"2026-05-18T00:46:58Z","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":"The adaptive zero-error capacity of discrete memoryless channels (DMC) with noiseless feedback has been shown to be positive whenever there exists at least one channel output \"disprover\", i.e. a channel output that cannot be reached from at least one of the inputs. Furthermore, whenever there exists a disprover, the adaptive zero-error capacity attains the Shannon (small-error) capacity. Here, we study the zero-error capacity of a DMC when the channel feedback is noisy rather than perfect. We show that the adaptive zero-error capacity with noisy feedback is lower bounded by the forward channel","authors_text":"Meysam Asadi, Natasha Devroye","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-04-04T23:16:22Z","title":"The adaptive zero-error capacity for a class of channels with noisy feedback"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.01215","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:bb27368e05ae87de5d7f61781353bee5a957b61ce1249c7987fe31399d158153","target":"record","created_at":"2026-05-18T00:46:58Z","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":"2ae13d4c611d4b5ad46916bd5e286947891ca19df7120e2534d1ce4ea7070d9b","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-04-04T23:16:22Z","title_canon_sha256":"1157a52feca032d33cb6c4f798edd2b3199319d851d2b5b42b44d78840719e64"},"schema_version":"1.0","source":{"id":"1704.01215","kind":"arxiv","version":1}},"canonical_sha256":"ada2831450f5a86f8bfcb4c03fd73dd76047da967d2d9a33361f774dd44a96ef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ada2831450f5a86f8bfcb4c03fd73dd76047da967d2d9a33361f774dd44a96ef","first_computed_at":"2026-05-18T00:46:58.795541Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:58.795541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MJ8ltvS/jfmkvWWcQhZTxGmFWK8XO6JPr0hpj/6ZrXOvw6DXIuMT4O61xugyGAzsZdPv5g/AiDSkCDHrWdCgBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:58.796040Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.01215","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb27368e05ae87de5d7f61781353bee5a957b61ce1249c7987fe31399d158153","sha256:109cd5137ac4a23a8abb9f54489aef94748bce827e3b92c2f469469d70becde2"],"state_sha256":"1add16ec3ece6818d0ea23b3a37d0a37fcd3b1ec4579e8e7abd65e02cda55484"}