{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ZZI3ILFISYF3QN2OTLJSUT6HYO","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":"034ee5adf242a3857e83a2d2d2c04474cb418ab736e61ba3796a66209aa56f59","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-01-05T18:12:53Z","title_canon_sha256":"5feeaa14637673a4328d86d69b0961f63a8505b405a2d5555f8d2b2907b4e489"},"schema_version":"1.0","source":{"id":"1801.01859","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.01859","created_at":"2026-05-17T23:42:30Z"},{"alias_kind":"arxiv_version","alias_value":"1801.01859v3","created_at":"2026-05-17T23:42:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.01859","created_at":"2026-05-17T23:42:30Z"},{"alias_kind":"pith_short_12","alias_value":"ZZI3ILFISYF3","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZZI3ILFISYF3QN2O","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZZI3ILFI","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:d3714a721234a978fc84e15b32df91f94a5e6475f0621bcda37697d767bba220","target":"graph","created_at":"2026-05-17T23:42:30Z","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":"We study the arbitrarily varying relay channel, and establish the cutset bound and partial decode-forward bound on the random code capacity. We further determine the random code capacity for special cases. Then, we consider conditions under which the deterministic code capacity is determined as well.","authors_text":"Uzi Pereg, Yossef Steinberg","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-01-05T18:12:53Z","title":"The Arbitrarily Varying Relay Channel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.01859","kind":"arxiv","version":3},"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:a4876bb953c32f55fc6e3bacdc90d46deb6aa5ab64ab3f601882066216fe1be5","target":"record","created_at":"2026-05-17T23:42:30Z","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":"034ee5adf242a3857e83a2d2d2c04474cb418ab736e61ba3796a66209aa56f59","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-01-05T18:12:53Z","title_canon_sha256":"5feeaa14637673a4328d86d69b0961f63a8505b405a2d5555f8d2b2907b4e489"},"schema_version":"1.0","source":{"id":"1801.01859","kind":"arxiv","version":3}},"canonical_sha256":"ce51b42ca8960bb8374e9ad32a4fc7c3a29be91b27b8d8995f2d10338922e1eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ce51b42ca8960bb8374e9ad32a4fc7c3a29be91b27b8d8995f2d10338922e1eb","first_computed_at":"2026-05-17T23:42:30.948600Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:30.948600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TYx6W4BzNH6PN0jNRlO+4gEfJh8JiV8/Rg4jQ605ApUBvBVIb8fZ2M2bfuIb9Cn9o3cCpshoOTa+gcUAuehyAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:30.949115Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.01859","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a4876bb953c32f55fc6e3bacdc90d46deb6aa5ab64ab3f601882066216fe1be5","sha256:d3714a721234a978fc84e15b32df91f94a5e6475f0621bcda37697d767bba220"],"state_sha256":"ed58b1bc8129bbf32c14f0e21eb72ad02a68750bb0f6d995db4f5a83cdb39607"}