{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:ICYLRCPGCWRITQCOGW766MZCFF","short_pith_number":"pith:ICYLRCPG","schema_version":"1.0","canonical_sha256":"40b0b889e615a289c04e35bfef3322296d6f2cbb49751cf3d8945f818c2076c4","source":{"kind":"arxiv","id":"1604.01063","version":2},"attestation_state":"computed","paper":{"title":"Information Structures of Maximizing Distributions of Feedback Capacity for General Channels with Memory & Applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Charalambos D. Charalambous, Christos K. Kourtellaris","submitted_at":"2016-04-04T21:05:02Z","abstract_excerpt":"For any class of channel conditional distributions, with finite memory dependence on channel input RVs $A^n {\\stackrel{\\triangle}{=}} \\{A_i: i=0, \\ldots, n\\}$ or channel output RVs $B^n {\\stackrel{\\triangle}{=}} \\{B_i: i=0, \\ldots, n\\}$ or both, we characterize the sets of channel input distributions, which maximize directed information defined by $ I(A^n \\rightarrow B^n) {\\stackrel{\\triangle}{=}} \\sum_{i=0}^n I(A^i;B_i|B^{i-1}) $ and we derive the corresponding expressions, called \"characterizations of Finite Transmission Feedback Information (FTFI) capacity\". The main theorems state that opt"},"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":"1604.01063","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-04T21:05:02Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"65fd1a318d94ff392b18b07477d43b80226bf263cebd1c8829b75bec62ff99e3","abstract_canon_sha256":"af24efb65aed58b0469032ea006b90dc20455a6a7ab194bd82750f82b555140f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:28.705609Z","signature_b64":"Jqpr6LyOvi/27M+Pixtiktme6i9WxWm1lKPytVXStYtuSD/+66uGZ8RhNBV4ThV+JnD6S4AinAU+SqusaRwdCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"40b0b889e615a289c04e35bfef3322296d6f2cbb49751cf3d8945f818c2076c4","last_reissued_at":"2026-05-18T01:08:28.705017Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:28.705017Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Information Structures of Maximizing Distributions of Feedback Capacity for General Channels with Memory & Applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Charalambos D. Charalambous, Christos K. Kourtellaris","submitted_at":"2016-04-04T21:05:02Z","abstract_excerpt":"For any class of channel conditional distributions, with finite memory dependence on channel input RVs $A^n {\\stackrel{\\triangle}{=}} \\{A_i: i=0, \\ldots, n\\}$ or channel output RVs $B^n {\\stackrel{\\triangle}{=}} \\{B_i: i=0, \\ldots, n\\}$ or both, we characterize the sets of channel input distributions, which maximize directed information defined by $ I(A^n \\rightarrow B^n) {\\stackrel{\\triangle}{=}} \\sum_{i=0}^n I(A^i;B_i|B^{i-1}) $ and we derive the corresponding expressions, called \"characterizations of Finite Transmission Feedback Information (FTFI) capacity\". The main theorems state that opt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.01063","kind":"arxiv","version":2},"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":"1604.01063","created_at":"2026-05-18T01:08:28.705109+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.01063v2","created_at":"2026-05-18T01:08:28.705109+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.01063","created_at":"2026-05-18T01:08:28.705109+00:00"},{"alias_kind":"pith_short_12","alias_value":"ICYLRCPGCWRI","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_16","alias_value":"ICYLRCPGCWRITQCO","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_8","alias_value":"ICYLRCPG","created_at":"2026-05-18T12:30:22.444734+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/ICYLRCPGCWRITQCOGW766MZCFF","json":"https://pith.science/pith/ICYLRCPGCWRITQCOGW766MZCFF.json","graph_json":"https://pith.science/api/pith-number/ICYLRCPGCWRITQCOGW766MZCFF/graph.json","events_json":"https://pith.science/api/pith-number/ICYLRCPGCWRITQCOGW766MZCFF/events.json","paper":"https://pith.science/paper/ICYLRCPG"},"agent_actions":{"view_html":"https://pith.science/pith/ICYLRCPGCWRITQCOGW766MZCFF","download_json":"https://pith.science/pith/ICYLRCPGCWRITQCOGW766MZCFF.json","view_paper":"https://pith.science/paper/ICYLRCPG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.01063&json=true","fetch_graph":"https://pith.science/api/pith-number/ICYLRCPGCWRITQCOGW766MZCFF/graph.json","fetch_events":"https://pith.science/api/pith-number/ICYLRCPGCWRITQCOGW766MZCFF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ICYLRCPGCWRITQCOGW766MZCFF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ICYLRCPGCWRITQCOGW766MZCFF/action/storage_attestation","attest_author":"https://pith.science/pith/ICYLRCPGCWRITQCOGW766MZCFF/action/author_attestation","sign_citation":"https://pith.science/pith/ICYLRCPGCWRITQCOGW766MZCFF/action/citation_signature","submit_replication":"https://pith.science/pith/ICYLRCPGCWRITQCOGW766MZCFF/action/replication_record"}},"created_at":"2026-05-18T01:08:28.705109+00:00","updated_at":"2026-05-18T01:08:28.705109+00:00"}