{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:4PVIABZ6MF435K3LDTJ7SPPVXB","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":"7a97f950687b2b9311b4e6c046280b382d3b113b8dae55685366385d0794d182","cross_cats_sorted":["math.IT","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2026-08-05T21:56:29Z","title_canon_sha256":"050227d008b55a1c4427cec2669c32a35f16dd53bc129334a2da451e07e30c53"},"schema_version":"1.0","source":{"id":"2608.05432","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.05432","created_at":"2026-08-07T00:47:51Z"},{"alias_kind":"arxiv_version","alias_value":"2608.05432v1","created_at":"2026-08-07T00:47:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.05432","created_at":"2026-08-07T00:47:51Z"},{"alias_kind":"pith_short_12","alias_value":"4PVIABZ6MF43","created_at":"2026-08-07T00:47:51Z"},{"alias_kind":"pith_short_16","alias_value":"4PVIABZ6MF435K3L","created_at":"2026-08-07T00:47:51Z"},{"alias_kind":"pith_short_8","alias_value":"4PVIABZ6","created_at":"2026-08-07T00:47:51Z"}],"graph_snapshots":[{"event_id":"sha256:dd9785998f61a78aae70733adb637cc5f02eb995cf234fb9503f2281f03a5b5b","target":"graph","created_at":"2026-08-07T00:47:51Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2608.05432/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We establish conditions and give proofs on how an error-correcting code can attain infinite diversity in a time-entanglement quantum key distribution (TE-QKD) reconciliation. The shocking result, never encountered in the literature on coding and communication theory, is that a decoder exhibits an infinite diversity order while the channel has finite diversity and the code has a relatively short finite length.\n  This paper studies the diversity order of coded TE-QKD reconciliation, defined by the asymptotic slope of the error probability at high signal-to-noise ratio. For bounded-distance algeb","authors_text":"Joseph J. Boutros, Shaikha S. Al-Qahtani, Siyao Li","cross_cats":["math.IT","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2026-08-05T21:56:29Z","title":"Diversity in Coded TE-QKD Channels: Achieving Infinite Diversity out of Finite System Resources"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.05432","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:f2f036d62d0166642686f3957ba6017ce119d6cbb612e285a6e4604831bcd48c","target":"record","created_at":"2026-08-07T00:47:51Z","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":"7a97f950687b2b9311b4e6c046280b382d3b113b8dae55685366385d0794d182","cross_cats_sorted":["math.IT","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2026-08-05T21:56:29Z","title_canon_sha256":"050227d008b55a1c4427cec2669c32a35f16dd53bc129334a2da451e07e30c53"},"schema_version":"1.0","source":{"id":"2608.05432","kind":"arxiv","version":1}},"canonical_sha256":"e3ea80073e6179beab6b1cd3f93df5b87c37bb87494718630f40451d136fcda4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e3ea80073e6179beab6b1cd3f93df5b87c37bb87494718630f40451d136fcda4","first_computed_at":"2026-08-07T00:47:51.276121Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-07T00:47:51.276121Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Jp8Kb/mhUM076HakB5f3uF3BUxjcoT8IXI4WFSz0p8+/ERDanRt86Zp+NLLcOGaZ8ZSK/96Vu60040LGVbRnBg==","signature_status":"signed_v1","signed_at":"2026-08-07T00:47:51.277454Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.05432","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f2f036d62d0166642686f3957ba6017ce119d6cbb612e285a6e4604831bcd48c","sha256:dd9785998f61a78aae70733adb637cc5f02eb995cf234fb9503f2281f03a5b5b"],"state_sha256":"3a5466067eb6a7ae5e8b7349547051efdafee5fc8c03328ca2c4c4d058915e78"}