{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:RE62332PG7CP72QEPHELTFTZ4R","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":"6291cff83c843d99144ff3728769657d22760d33c11ce136e7e34457a4ac0460","cross_cats_sorted":["math.IT"],"license":"","primary_cat":"cs.IT","submitted_at":"2005-03-31T05:16:29Z","title_canon_sha256":"f685395ad9c492fbf4b4e26224877d25188e5faeda1cc8034444a13c09742118"},"schema_version":"1.0","source":{"id":"cs/0503088","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cs/0503088","created_at":"2026-05-18T02:37:36Z"},{"alias_kind":"arxiv_version","alias_value":"cs/0503088v2","created_at":"2026-05-18T02:37:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cs/0503088","created_at":"2026-05-18T02:37:36Z"},{"alias_kind":"pith_short_12","alias_value":"RE62332PG7CP","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"RE62332PG7CP72QE","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"RE62332P","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:95ea5b55a123d6c2eacb521b4b2359a7494416628afc26614a4eff2e41bad699","target":"graph","created_at":"2026-05-18T02:37:36Z","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":"Several non-asymptotic formulas are established in channel resolvability and identification capacity, and they are applied to wire-tap channel. By using these formulas, the $\\epsilon$ capacities of the above three problems are considered in the most general setting, where no structural assumptions such as the stationary memoryless property are made on a channel. As a result, we solve an open problem proposed in Han & Verdu and Han. Moreover, we obtain lower bounds of the exponents of error probability and the wire-tapper's information in wire-tap channel.","authors_text":"Masahito Hayashi","cross_cats":["math.IT"],"headline":"","license":"","primary_cat":"cs.IT","submitted_at":"2005-03-31T05:16:29Z","title":"General non-asymptotic and asymptotic formulas in channel resolvability and identification capacity and their application to wire-tap channel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0503088","kind":"arxiv","version":2},"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":"sha256:324532499d6d77070e41d6eb389482e0389db2f29722185e3310d6e76d29eea2","target":"record","created_at":"2026-05-18T02:37:36Z","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":"6291cff83c843d99144ff3728769657d22760d33c11ce136e7e34457a4ac0460","cross_cats_sorted":["math.IT"],"license":"","primary_cat":"cs.IT","submitted_at":"2005-03-31T05:16:29Z","title_canon_sha256":"f685395ad9c492fbf4b4e26224877d25188e5faeda1cc8034444a13c09742118"},"schema_version":"1.0","source":{"id":"cs/0503088","kind":"arxiv","version":2}},"canonical_sha256":"893dadef4f37c4ffea0479c8b99679e445f8020db48d92bf3ff180311ffc7791","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"893dadef4f37c4ffea0479c8b99679e445f8020db48d92bf3ff180311ffc7791","first_computed_at":"2026-05-18T02:37:36.936183Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:37:36.936183Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BKKL+9BBxMKQ/b/SnsnFZgGTiA1N0KhXk9lNvaKN0E8+K1k14FVkh1zmicxhQ/yCJ2KWOVIdGQxaoZBGz+4oCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:37:36.936833Z","signed_message":"canonical_sha256_bytes"},"source_id":"cs/0503088","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:324532499d6d77070e41d6eb389482e0389db2f29722185e3310d6e76d29eea2","sha256:95ea5b55a123d6c2eacb521b4b2359a7494416628afc26614a4eff2e41bad699"],"state_sha256":"c2111b6c4ef1035dc1cf60412462ca6a6109be7d76f74495b2b6bac84d63deb9"}