{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:FBXIUVRWBVH554GWLSMIG2SP7U","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":"cb7ae7585e09b0df4a3657de386f158e7b3396a56f9a715964e6996fdd03e79c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2022-05-09T23:10:20Z","title_canon_sha256":"3474ec9c38e303b55b1bcead67e07766f32f482cb2c80e8d8b3886315af3914a"},"schema_version":"1.0","source":{"id":"2205.04594","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.04594","created_at":"2026-07-05T04:55:52Z"},{"alias_kind":"arxiv_version","alias_value":"2205.04594v4","created_at":"2026-07-05T04:55:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.04594","created_at":"2026-07-05T04:55:52Z"},{"alias_kind":"pith_short_12","alias_value":"FBXIUVRWBVH5","created_at":"2026-07-05T04:55:52Z"},{"alias_kind":"pith_short_16","alias_value":"FBXIUVRWBVH554GW","created_at":"2026-07-05T04:55:52Z"},{"alias_kind":"pith_short_8","alias_value":"FBXIUVRW","created_at":"2026-07-05T04:55:52Z"}],"graph_snapshots":[{"event_id":"sha256:998088a81b991b5152979665c103afc07356e91c5f5a410507be3cbcca379b05","target":"graph","created_at":"2026-07-05T04:55:52Z","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/2205.04594/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We generalize the uniform common randomness capacity formula, initially established by Ahslwede and Csisz\\'ar for a two-source model for common randomness generation from independent and identically distributed (i.i.d.) discrete sources with unidirectional communication over rate-limited discrete noiseless channels to the case when the one-way communication is over arbitrary single-user channels. In our proof, we will make use of the transmission capacity formula established by Verd\\'u and Han for arbitrary point-to-point channels.","authors_text":"Christian Deppe, Holger Boche, Moritz Wiese, Rami Ezzine","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2022-05-09T23:10:20Z","title":"A General Formula for Uniform Common Randomness Capacity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.04594","kind":"arxiv","version":4},"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":"sha256:6ae96abb172da4d9dbf1047acdb4ce17a70fe0ad0d1e3a54f557d38c3cbc2bbb","target":"record","created_at":"2026-07-05T04:55:52Z","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":"cb7ae7585e09b0df4a3657de386f158e7b3396a56f9a715964e6996fdd03e79c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2022-05-09T23:10:20Z","title_canon_sha256":"3474ec9c38e303b55b1bcead67e07766f32f482cb2c80e8d8b3886315af3914a"},"schema_version":"1.0","source":{"id":"2205.04594","kind":"arxiv","version":4}},"canonical_sha256":"286e8a56360d4fdef0d65c98836a4ffd22c424eb69f2be77aeaa1330f401e119","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"286e8a56360d4fdef0d65c98836a4ffd22c424eb69f2be77aeaa1330f401e119","first_computed_at":"2026-07-05T04:55:52.386051Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:55:52.386051Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jIAAVze+WsBJ3/phRiEW57PJsyaFNeo/Wf9oHMBTdhUFzwAjXuf0X6fFS8E8W6p7PyNxI5DKZbYyjc5szkc0AQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:55:52.386490Z","signed_message":"canonical_sha256_bytes"},"source_id":"2205.04594","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ae96abb172da4d9dbf1047acdb4ce17a70fe0ad0d1e3a54f557d38c3cbc2bbb","sha256:998088a81b991b5152979665c103afc07356e91c5f5a410507be3cbcca379b05"],"state_sha256":"f82c27ab849df693899ced45bc4558c0afb77b34f4c0f1b5686fac1d96eb5f45"}