{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:YNPXJDLBM4CRUMCW5G27AIWSRB","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":"b043afd97094e257daef861eaf73ff145e765c93fd1083c18449dcff397f2f3f","cross_cats_sorted":["math.IT"],"license":"","primary_cat":"cs.IT","submitted_at":"2005-01-22T01:22:10Z","title_canon_sha256":"8d4ff1b08b8c923e88cd779ad9547399a6a1280badd8947aa7b2d4be3ecee867"},"schema_version":"1.0","source":{"id":"cs/0501057","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cs/0501057","created_at":"2026-05-18T00:58:26Z"},{"alias_kind":"arxiv_version","alias_value":"cs/0501057v1","created_at":"2026-05-18T00:58:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cs/0501057","created_at":"2026-05-18T00:58:26Z"},{"alias_kind":"pith_short_12","alias_value":"YNPXJDLBM4CR","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"YNPXJDLBM4CRUMCW","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"YNPXJDLB","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:4259021be512928498a489b85ef759406b349fcb2119d33cd509995dbfa9b04d","target":"graph","created_at":"2026-05-18T00:58:26Z","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":"Concavity of the auxiliary function which appears in the random coding exponent as the lower bound of the quantum reliability function for general quantum states is proven for s between 0 and 1.","authors_text":"Jun Ichi Fujii, Kenjiro Yanagi, Ritsuo Nakamoto","cross_cats":["math.IT"],"headline":"","license":"","primary_cat":"cs.IT","submitted_at":"2005-01-22T01:22:10Z","title":"Concavity of the auxiliary function appearing in quantum reliability function an classical-quantum channels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0501057","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:c2f800191e00c5ff2e4215fdd8aeb77e40b196466a14db46fd72f94f270e4639","target":"record","created_at":"2026-05-18T00:58:26Z","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":"b043afd97094e257daef861eaf73ff145e765c93fd1083c18449dcff397f2f3f","cross_cats_sorted":["math.IT"],"license":"","primary_cat":"cs.IT","submitted_at":"2005-01-22T01:22:10Z","title_canon_sha256":"8d4ff1b08b8c923e88cd779ad9547399a6a1280badd8947aa7b2d4be3ecee867"},"schema_version":"1.0","source":{"id":"cs/0501057","kind":"arxiv","version":1}},"canonical_sha256":"c35f748d6167051a3056e9b5f022d28868b2d6fe5fe3f10d34483eaadf73b17f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c35f748d6167051a3056e9b5f022d28868b2d6fe5fe3f10d34483eaadf73b17f","first_computed_at":"2026-05-18T00:58:26.945043Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:26.945043Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xPBS2nsJOFZBMdZ48TRmHavEusD89iQgNLJN6BbWoWSiTHvcskyjhpipUCkY3fh9zSp3n33CtZZLWVw1X8vKCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:26.945612Z","signed_message":"canonical_sha256_bytes"},"source_id":"cs/0501057","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c2f800191e00c5ff2e4215fdd8aeb77e40b196466a14db46fd72f94f270e4639","sha256:4259021be512928498a489b85ef759406b349fcb2119d33cd509995dbfa9b04d"],"state_sha256":"094e0ff96c649e2a6d35808351996d827adef00be97a96829d54827f15020a79"}