{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:5LBWOSENSCHUHSTNZCG6PIULQF","short_pith_number":"pith:5LBWOSEN","schema_version":"1.0","canonical_sha256":"eac367488d908f43ca6dc88de7a28b815c55ef5aa980daf8ba90df5a9c75f923","source":{"kind":"arxiv","id":"1906.06970","version":1},"attestation_state":"computed","paper":{"title":"Distributed Source Simulation With No Communication","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Lele Wang, Ofer Shayevitz, Tomer Berg, Young-Han Kim","submitted_at":"2019-06-17T11:46:27Z","abstract_excerpt":"We consider the problem of distributed source simulation with no communication, in which Alice and Bob observe sequences $U^n$ and $V^n$ respectively, drawn from a joint distribution $p_{UV}^{\\otimes n}$, and wish to locally generate sequences $X^n$ and $Y^n$ respectively with a joint distribution that is close (in KL divergence) to $p_{XY}^{\\otimes n}$. We provide a single-letter condition under which such a simulation is asymptotically possible with a vanishing KL divergence. Our condition is nontrivial only in the case where the G\\`acs-K\\\"orner (GK) common information between $U$ and $V$ is"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1906.06970","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-06-17T11:46:27Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"e55d3f6588ba6009e097ca6407ba381bb7d039938998b50787e0bf9a3a7ac961","abstract_canon_sha256":"aab75b34bf2860387f3c39b86365521085be67388132c2abd48ec2b728a7bcbf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:43:12.213427Z","signature_b64":"cauy+pIcpPUO4s4GoNqMvZxJXfLU8kg9DrWVvZGsyq7NadlGvIhbg3ZLTxDteWkGrCVSn/wep0d3RU70iLLJBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eac367488d908f43ca6dc88de7a28b815c55ef5aa980daf8ba90df5a9c75f923","last_reissued_at":"2026-05-17T23:43:12.212744Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:43:12.212744Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Distributed Source Simulation With No Communication","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Lele Wang, Ofer Shayevitz, Tomer Berg, Young-Han Kim","submitted_at":"2019-06-17T11:46:27Z","abstract_excerpt":"We consider the problem of distributed source simulation with no communication, in which Alice and Bob observe sequences $U^n$ and $V^n$ respectively, drawn from a joint distribution $p_{UV}^{\\otimes n}$, and wish to locally generate sequences $X^n$ and $Y^n$ respectively with a joint distribution that is close (in KL divergence) to $p_{XY}^{\\otimes n}$. We provide a single-letter condition under which such a simulation is asymptotically possible with a vanishing KL divergence. Our condition is nontrivial only in the case where the G\\`acs-K\\\"orner (GK) common information between $U$ and $V$ is"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.06970","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1906.06970","created_at":"2026-05-17T23:43:12.212856+00:00"},{"alias_kind":"arxiv_version","alias_value":"1906.06970v1","created_at":"2026-05-17T23:43:12.212856+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.06970","created_at":"2026-05-17T23:43:12.212856+00:00"},{"alias_kind":"pith_short_12","alias_value":"5LBWOSENSCHU","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_16","alias_value":"5LBWOSENSCHUHSTN","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_8","alias_value":"5LBWOSEN","created_at":"2026-05-18T12:33:10.108867+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5LBWOSENSCHUHSTNZCG6PIULQF","json":"https://pith.science/pith/5LBWOSENSCHUHSTNZCG6PIULQF.json","graph_json":"https://pith.science/api/pith-number/5LBWOSENSCHUHSTNZCG6PIULQF/graph.json","events_json":"https://pith.science/api/pith-number/5LBWOSENSCHUHSTNZCG6PIULQF/events.json","paper":"https://pith.science/paper/5LBWOSEN"},"agent_actions":{"view_html":"https://pith.science/pith/5LBWOSENSCHUHSTNZCG6PIULQF","download_json":"https://pith.science/pith/5LBWOSENSCHUHSTNZCG6PIULQF.json","view_paper":"https://pith.science/paper/5LBWOSEN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1906.06970&json=true","fetch_graph":"https://pith.science/api/pith-number/5LBWOSENSCHUHSTNZCG6PIULQF/graph.json","fetch_events":"https://pith.science/api/pith-number/5LBWOSENSCHUHSTNZCG6PIULQF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5LBWOSENSCHUHSTNZCG6PIULQF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5LBWOSENSCHUHSTNZCG6PIULQF/action/storage_attestation","attest_author":"https://pith.science/pith/5LBWOSENSCHUHSTNZCG6PIULQF/action/author_attestation","sign_citation":"https://pith.science/pith/5LBWOSENSCHUHSTNZCG6PIULQF/action/citation_signature","submit_replication":"https://pith.science/pith/5LBWOSENSCHUHSTNZCG6PIULQF/action/replication_record"}},"created_at":"2026-05-17T23:43:12.212856+00:00","updated_at":"2026-05-17T23:43:12.212856+00:00"}