{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:UZ4XS7UR4GGEQTEMCHTYSDSFLG","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":"d64b0853486ca9e8a5bb1c1606d67d713ac59a406be177ee0fbec9c48fbf564a","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-03-15T21:23:34Z","title_canon_sha256":"4f652c3ee0378d997e1be595e644c36aea5eb8f7ce4ca3f2c3e3272a93d946b7"},"schema_version":"1.0","source":{"id":"1803.06007","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.06007","created_at":"2026-05-17T23:43:51Z"},{"alias_kind":"arxiv_version","alias_value":"1803.06007v3","created_at":"2026-05-17T23:43:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.06007","created_at":"2026-05-17T23:43:51Z"},{"alias_kind":"pith_short_12","alias_value":"UZ4XS7UR4GGE","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"UZ4XS7UR4GGEQTEM","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"UZ4XS7UR","created_at":"2026-05-18T12:32:56Z"}],"graph_snapshots":[{"event_id":"sha256:25190e577a8af6799fd0244e2a881deff04b095ab9bfd68214b48316e30e3489","target":"graph","created_at":"2026-05-17T23:43:51Z","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"},"paper":{"abstract_excerpt":"We consider a scenario in which $K$ transmitters attempt to communicate covert messages reliably to a legitimate receiver over a discrete memoryless MAC while simultaneously escaping detection from an adversary who observes their communication through another discrete memoryless MAC. We assume that each transmitter may use a secret key that is shared only between itself and the legitimate receiver. We show that each of the $K$ transmitters can transmit on the order of $\\sqrt{n}$ reliable and covert bits per $n$ channel uses, exceeding which, the warden will be able to detect the communication.","authors_text":"Keerthi Suria Kumar Arumugam, Matthieu R. Bloch","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-03-15T21:23:34Z","title":"Covert Communication over a K-User Multiple Access Channel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.06007","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:f1dd1d3f24bfe2357b06c58e4dc074901f953fecd129cf7caa2b37c078d8fc2b","target":"record","created_at":"2026-05-17T23:43:51Z","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":"d64b0853486ca9e8a5bb1c1606d67d713ac59a406be177ee0fbec9c48fbf564a","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-03-15T21:23:34Z","title_canon_sha256":"4f652c3ee0378d997e1be595e644c36aea5eb8f7ce4ca3f2c3e3272a93d946b7"},"schema_version":"1.0","source":{"id":"1803.06007","kind":"arxiv","version":3}},"canonical_sha256":"a679797e91e18c484c8c11e7890e4559b93d684793e01b4f00a4feb209b67996","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a679797e91e18c484c8c11e7890e4559b93d684793e01b4f00a4feb209b67996","first_computed_at":"2026-05-17T23:43:51.362035Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:51.362035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PHwkdJEd+A8NcZ2hE+2+YCKk8TzyGlWUtbqkcGuDKVg6dyNvhjz7oLLCdO7sjwi2jol2hbjqKtnkUQ+aG+41AA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:51.362761Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.06007","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f1dd1d3f24bfe2357b06c58e4dc074901f953fecd129cf7caa2b37c078d8fc2b","sha256:25190e577a8af6799fd0244e2a881deff04b095ab9bfd68214b48316e30e3489"],"state_sha256":"ea183a92e34771989e02e683a2b1f406e09f710ae68df110875d148bb9d76ca5"}