{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:UXTKULHWBEY7JVW4OMODSZWLLI","short_pith_number":"pith:UXTKULHW","canonical_record":{"source":{"id":"2209.05403","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2022-09-12T16:54:26Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"9e342ffc0a2c97d35c416b03540fed49ffebd170d1e34c2117a125b17d9f16ab","abstract_canon_sha256":"a6bd1297c52c74ea0076f4ce4713d563c9a69afa440032f3354ac2722ca5d712"},"schema_version":"1.0"},"canonical_sha256":"a5e6aa2cf60931f4d6dc731c3966cb5a145787248b12b7deb7dd64ad6f797a60","source":{"kind":"arxiv","id":"2209.05403","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.05403","created_at":"2026-07-05T06:22:59Z"},{"alias_kind":"arxiv_version","alias_value":"2209.05403v2","created_at":"2026-07-05T06:22:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.05403","created_at":"2026-07-05T06:22:59Z"},{"alias_kind":"pith_short_12","alias_value":"UXTKULHWBEY7","created_at":"2026-07-05T06:22:59Z"},{"alias_kind":"pith_short_16","alias_value":"UXTKULHWBEY7JVW4","created_at":"2026-07-05T06:22:59Z"},{"alias_kind":"pith_short_8","alias_value":"UXTKULHW","created_at":"2026-07-05T06:22:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:UXTKULHWBEY7JVW4OMODSZWLLI","target":"record","payload":{"canonical_record":{"source":{"id":"2209.05403","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2022-09-12T16:54:26Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"9e342ffc0a2c97d35c416b03540fed49ffebd170d1e34c2117a125b17d9f16ab","abstract_canon_sha256":"a6bd1297c52c74ea0076f4ce4713d563c9a69afa440032f3354ac2722ca5d712"},"schema_version":"1.0"},"canonical_sha256":"a5e6aa2cf60931f4d6dc731c3966cb5a145787248b12b7deb7dd64ad6f797a60","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:22:59.450099Z","signature_b64":"SyW101rWZ4Yl1mYKUKfEbH9B8X2uPcpgRHFfxWAq1JpJOk3+HUVdHUePHzyezdhk1kOjBhx9x7C9Udmv0svoDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5e6aa2cf60931f4d6dc731c3966cb5a145787248b12b7deb7dd64ad6f797a60","last_reissued_at":"2026-07-05T06:22:59.449632Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:22:59.449632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2209.05403","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:22:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qUjyFyOcdgSq3ec34RNq9KoTI3dElF04cTwxb9MhtzOWzjaPEKcdIJo9U8SMOgZ96/ewlkK1Jo+9qd1svsPUBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T06:40:24.326998Z"},"content_sha256":"cc3bf2b41877ae5042b45f2a21d7eed42b42b97a2ca18887b6b5777258bf238b","schema_version":"1.0","event_id":"sha256:cc3bf2b41877ae5042b45f2a21d7eed42b42b97a2ca18887b6b5777258bf238b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:UXTKULHWBEY7JVW4OMODSZWLLI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"MAC Wiretap Channels with Confidential and Open Messages: Improved Achievable Region and Low-complexity Precoder Design","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Giuseppe Caire, Hao Xu, Kai-Kit Wong","submitted_at":"2022-09-12T16:54:26Z","abstract_excerpt":"This paper investigates the achievable region and precoder design for multiple access wiretap (MAC-WT) channels, where each user transmits both secret and open (i.e., non-confidential) messages. All these messages are intended for the legitimate receiver (or Bob for brevity) and the eavesdropper (Eve) is interested only in the secret messages of all users. By allowing users with zero secret message rate to act as conventional MAC channel users with no wiretapping, we show that the achievable region of the discrete memoryless (DM) MAC-WT channel given in [1] can be enlarged. In [1], the achieva"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.05403","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2209.05403/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:22:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AtYz5FBZS8Cy2C32jnWU3d6O0exnXRTmlmhUY7OE5B8btdILtd3TrvPgxHq6YHqZX32fodUyL10EcftsNGs5DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T06:40:24.328134Z"},"content_sha256":"7004d31218a996e4456c7bf3a4de827a1e420df8b2a45e686c2b34e0d5edf786","schema_version":"1.0","event_id":"sha256:7004d31218a996e4456c7bf3a4de827a1e420df8b2a45e686c2b34e0d5edf786"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UXTKULHWBEY7JVW4OMODSZWLLI/bundle.json","state_url":"https://pith.science/pith/UXTKULHWBEY7JVW4OMODSZWLLI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UXTKULHWBEY7JVW4OMODSZWLLI/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-07T06:40:24Z","links":{"resolver":"https://pith.science/pith/UXTKULHWBEY7JVW4OMODSZWLLI","bundle":"https://pith.science/pith/UXTKULHWBEY7JVW4OMODSZWLLI/bundle.json","state":"https://pith.science/pith/UXTKULHWBEY7JVW4OMODSZWLLI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UXTKULHWBEY7JVW4OMODSZWLLI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:UXTKULHWBEY7JVW4OMODSZWLLI","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":"a6bd1297c52c74ea0076f4ce4713d563c9a69afa440032f3354ac2722ca5d712","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2022-09-12T16:54:26Z","title_canon_sha256":"9e342ffc0a2c97d35c416b03540fed49ffebd170d1e34c2117a125b17d9f16ab"},"schema_version":"1.0","source":{"id":"2209.05403","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.05403","created_at":"2026-07-05T06:22:59Z"},{"alias_kind":"arxiv_version","alias_value":"2209.05403v2","created_at":"2026-07-05T06:22:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.05403","created_at":"2026-07-05T06:22:59Z"},{"alias_kind":"pith_short_12","alias_value":"UXTKULHWBEY7","created_at":"2026-07-05T06:22:59Z"},{"alias_kind":"pith_short_16","alias_value":"UXTKULHWBEY7JVW4","created_at":"2026-07-05T06:22:59Z"},{"alias_kind":"pith_short_8","alias_value":"UXTKULHW","created_at":"2026-07-05T06:22:59Z"}],"graph_snapshots":[{"event_id":"sha256:7004d31218a996e4456c7bf3a4de827a1e420df8b2a45e686c2b34e0d5edf786","target":"graph","created_at":"2026-07-05T06:22:59Z","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/2209.05403/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper investigates the achievable region and precoder design for multiple access wiretap (MAC-WT) channels, where each user transmits both secret and open (i.e., non-confidential) messages. All these messages are intended for the legitimate receiver (or Bob for brevity) and the eavesdropper (Eve) is interested only in the secret messages of all users. By allowing users with zero secret message rate to act as conventional MAC channel users with no wiretapping, we show that the achievable region of the discrete memoryless (DM) MAC-WT channel given in [1] can be enlarged. In [1], the achieva","authors_text":"Giuseppe Caire, Hao Xu, Kai-Kit Wong","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2022-09-12T16:54:26Z","title":"MAC Wiretap Channels with Confidential and Open Messages: Improved Achievable Region and Low-complexity Precoder Design"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.05403","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:cc3bf2b41877ae5042b45f2a21d7eed42b42b97a2ca18887b6b5777258bf238b","target":"record","created_at":"2026-07-05T06:22:59Z","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":"a6bd1297c52c74ea0076f4ce4713d563c9a69afa440032f3354ac2722ca5d712","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2022-09-12T16:54:26Z","title_canon_sha256":"9e342ffc0a2c97d35c416b03540fed49ffebd170d1e34c2117a125b17d9f16ab"},"schema_version":"1.0","source":{"id":"2209.05403","kind":"arxiv","version":2}},"canonical_sha256":"a5e6aa2cf60931f4d6dc731c3966cb5a145787248b12b7deb7dd64ad6f797a60","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a5e6aa2cf60931f4d6dc731c3966cb5a145787248b12b7deb7dd64ad6f797a60","first_computed_at":"2026-07-05T06:22:59.449632Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:22:59.449632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SyW101rWZ4Yl1mYKUKfEbH9B8X2uPcpgRHFfxWAq1JpJOk3+HUVdHUePHzyezdhk1kOjBhx9x7C9Udmv0svoDw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:22:59.450099Z","signed_message":"canonical_sha256_bytes"},"source_id":"2209.05403","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc3bf2b41877ae5042b45f2a21d7eed42b42b97a2ca18887b6b5777258bf238b","sha256:7004d31218a996e4456c7bf3a4de827a1e420df8b2a45e686c2b34e0d5edf786"],"state_sha256":"5b4cb0f399b1a072a114a5fe63fd35b02578d815b49ff19ecc6d5c9069b57ce9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"05rnxIcP8LvdFM2u+XX52D1Pqb+A3msjJ12Lf+aZE0Eft7t0vXoo6qEoi2ApSdk/SszPR1IntywsQ4woBKFJCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T06:40:24.334944Z","bundle_sha256":"ccd3ac6b77b11d205dc361d608853521bd758b9091ffd9c847326c6868aa3cd4"}}