{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:Z6V5BNBGVQ4Y75F7TUSWNSMC43","short_pith_number":"pith:Z6V5BNBG","schema_version":"1.0","canonical_sha256":"cfabd0b426ac398ff4bf9d2566c982e6c6e87f4521c0e9c1d723ce49ddc281d7","source":{"kind":"arxiv","id":"1705.01596","version":1},"attestation_state":"computed","paper":{"title":"Capacity of Burst Noise-Erasure Channels With and Without Feedback and Input Cost","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Fady Alajaji, Lin Song, Tam\\'as Linder","submitted_at":"2017-05-03T19:49:33Z","abstract_excerpt":"A class of burst noise-erasure channels which incorporate both errors and erasures during transmission is studied. The channel, whose output is explicitly expressed in terms of its input and a stationary ergodic noise-erasure process, is shown to have a so-called \"quasi-symmetry\" property under certain invertibility conditions. As a result, it is proved that a uniformly distributed input process maximizes the channel's block mutual information, resulting in a closed-form formula for its non-feedback capacity in terms of the noise-erasure entropy rate and the entropy rate of an auxiliary erasur"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1705.01596","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-03T19:49:33Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"8e0b55c1c47d5df859b730a667ca8119c3d436d60d8a173fb1f881f0b0066612","abstract_canon_sha256":"b8313b9cf9ceaa5deff5a171063ac7ffb375e267a022b31e4ee7fbc4d39b6922"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:04.575476Z","signature_b64":"vRTgSUyasKOCXUZ+lIhAU2FD/qxhg3X8BgtnvqqVeGBF3LSoychdQMKChgMnlviXkSMFvEoQGB2EqWmj7+6fBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cfabd0b426ac398ff4bf9d2566c982e6c6e87f4521c0e9c1d723ce49ddc281d7","last_reissued_at":"2026-05-18T00:45:04.575104Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:04.575104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Capacity of Burst Noise-Erasure Channels With and Without Feedback and Input Cost","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Fady Alajaji, Lin Song, Tam\\'as Linder","submitted_at":"2017-05-03T19:49:33Z","abstract_excerpt":"A class of burst noise-erasure channels which incorporate both errors and erasures during transmission is studied. The channel, whose output is explicitly expressed in terms of its input and a stationary ergodic noise-erasure process, is shown to have a so-called \"quasi-symmetry\" property under certain invertibility conditions. As a result, it is proved that a uniformly distributed input process maximizes the channel's block mutual information, resulting in a closed-form formula for its non-feedback capacity in terms of the noise-erasure entropy rate and the entropy rate of an auxiliary erasur"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.01596","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1705.01596","created_at":"2026-05-18T00:45:04.575164+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.01596v1","created_at":"2026-05-18T00:45:04.575164+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.01596","created_at":"2026-05-18T00:45:04.575164+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z6V5BNBGVQ4Y","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z6V5BNBGVQ4Y75F7","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z6V5BNBG","created_at":"2026-05-18T12:31:59.375834+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Z6V5BNBGVQ4Y75F7TUSWNSMC43","json":"https://pith.science/pith/Z6V5BNBGVQ4Y75F7TUSWNSMC43.json","graph_json":"https://pith.science/api/pith-number/Z6V5BNBGVQ4Y75F7TUSWNSMC43/graph.json","events_json":"https://pith.science/api/pith-number/Z6V5BNBGVQ4Y75F7TUSWNSMC43/events.json","paper":"https://pith.science/paper/Z6V5BNBG"},"agent_actions":{"view_html":"https://pith.science/pith/Z6V5BNBGVQ4Y75F7TUSWNSMC43","download_json":"https://pith.science/pith/Z6V5BNBGVQ4Y75F7TUSWNSMC43.json","view_paper":"https://pith.science/paper/Z6V5BNBG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.01596&json=true","fetch_graph":"https://pith.science/api/pith-number/Z6V5BNBGVQ4Y75F7TUSWNSMC43/graph.json","fetch_events":"https://pith.science/api/pith-number/Z6V5BNBGVQ4Y75F7TUSWNSMC43/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z6V5BNBGVQ4Y75F7TUSWNSMC43/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z6V5BNBGVQ4Y75F7TUSWNSMC43/action/storage_attestation","attest_author":"https://pith.science/pith/Z6V5BNBGVQ4Y75F7TUSWNSMC43/action/author_attestation","sign_citation":"https://pith.science/pith/Z6V5BNBGVQ4Y75F7TUSWNSMC43/action/citation_signature","submit_replication":"https://pith.science/pith/Z6V5BNBGVQ4Y75F7TUSWNSMC43/action/replication_record"}},"created_at":"2026-05-18T00:45:04.575164+00:00","updated_at":"2026-05-18T00:45:04.575164+00:00"}