{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:VWRIGFCQ6WUG7C74WTAD7VZ525","short_pith_number":"pith:VWRIGFCQ","canonical_record":{"source":{"id":"1704.01215","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-04-04T23:16:22Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"1157a52feca032d33cb6c4f798edd2b3199319d851d2b5b42b44d78840719e64","abstract_canon_sha256":"2ae13d4c611d4b5ad46916bd5e286947891ca19df7120e2534d1ce4ea7070d9b"},"schema_version":"1.0"},"canonical_sha256":"ada2831450f5a86f8bfcb4c03fd73dd76047da967d2d9a33361f774dd44a96ef","source":{"kind":"arxiv","id":"1704.01215","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:VWRIGFCQ6WUG7C74WTAD7VZ525","target":"record","payload":{"canonical_record":{"source":{"id":"1704.01215","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-04-04T23:16:22Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"1157a52feca032d33cb6c4f798edd2b3199319d851d2b5b42b44d78840719e64","abstract_canon_sha256":"2ae13d4c611d4b5ad46916bd5e286947891ca19df7120e2534d1ce4ea7070d9b"},"schema_version":"1.0"},"canonical_sha256":"ada2831450f5a86f8bfcb4c03fd73dd76047da967d2d9a33361f774dd44a96ef","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:58.796040Z","signature_b64":"MJ8ltvS/jfmkvWWcQhZTxGmFWK8XO6JPr0hpj/6ZrXOvw6DXIuMT4O61xugyGAzsZdPv5g/AiDSkCDHrWdCgBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ada2831450f5a86f8bfcb4c03fd73dd76047da967d2d9a33361f774dd44a96ef","last_reissued_at":"2026-05-18T00:46:58.795541Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:58.795541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.01215","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:46:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fCILMN+EtfAVv4x3No64Kafc+ZZ3/yCn6NdK1CpKDIt4ZY6XPRQOrmkJTU0cRU78Ce6N2cadLRkR1/SBSlrnBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T17:35:56.115630Z"},"content_sha256":"bb27368e05ae87de5d7f61781353bee5a957b61ce1249c7987fe31399d158153","schema_version":"1.0","event_id":"sha256:bb27368e05ae87de5d7f61781353bee5a957b61ce1249c7987fe31399d158153"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:VWRIGFCQ6WUG7C74WTAD7VZ525","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The adaptive zero-error capacity for a class of channels with noisy feedback","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Meysam Asadi, Natasha Devroye","submitted_at":"2017-04-04T23:16:22Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.01215","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:46:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Uo9QmvR5blzxJaV78Z19v6HOZxluzLRFMO4Kyn6owwOACnJ4AoyDfCjEzyyfahLv4RCbkAIQjaseBbf1XyRFBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T17:35:56.116300Z"},"content_sha256":"109cd5137ac4a23a8abb9f54489aef94748bce827e3b92c2f469469d70becde2","schema_version":"1.0","event_id":"sha256:109cd5137ac4a23a8abb9f54489aef94748bce827e3b92c2f469469d70becde2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VWRIGFCQ6WUG7C74WTAD7VZ525/bundle.json","state_url":"https://pith.science/pith/VWRIGFCQ6WUG7C74WTAD7VZ525/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VWRIGFCQ6WUG7C74WTAD7VZ525/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T17:35:56Z","links":{"resolver":"https://pith.science/pith/VWRIGFCQ6WUG7C74WTAD7VZ525","bundle":"https://pith.science/pith/VWRIGFCQ6WUG7C74WTAD7VZ525/bundle.json","state":"https://pith.science/pith/VWRIGFCQ6WUG7C74WTAD7VZ525/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VWRIGFCQ6WUG7C74WTAD7VZ525/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JeMP33blENHDpG8nyXKFWYbQztC996CDei76N1fPsv623CARIV+l+USV/9+EFtQrhiUOI8oIP7EDQrxHqOoyAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T17:35:56.119793Z","bundle_sha256":"a510964a0b6d2c6e383b9307c122fe8a62db7034c762f75769223acd7cd5e6b7"}}