{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:KPRK264QU6GUCM6HAC3DYLQOII","short_pith_number":"pith:KPRK264Q","canonical_record":{"source":{"id":"1607.04322","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-07-14T21:14:06Z","cross_cats_sorted":["cs.CC","math.IT"],"title_canon_sha256":"6e1c515372617142b2f2a637c6d49297f64abdf0480cee045debe95697c0851b","abstract_canon_sha256":"b4f684b614d87da9b44ed41cadda449bb7d66ab8434a2fd9ae22e946b3197a66"},"schema_version":"1.0"},"canonical_sha256":"53e2ad7b90a78d4133c700b63c2e0e42337a340ea32bc1ed3bf0ef09fc68cf3f","source":{"kind":"arxiv","id":"1607.04322","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.04322","created_at":"2026-05-18T01:11:01Z"},{"alias_kind":"arxiv_version","alias_value":"1607.04322v1","created_at":"2026-05-18T01:11:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.04322","created_at":"2026-05-18T01:11:01Z"},{"alias_kind":"pith_short_12","alias_value":"KPRK264QU6GU","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"KPRK264QU6GUCM6H","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"KPRK264Q","created_at":"2026-05-18T12:30:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:KPRK264QU6GUCM6HAC3DYLQOII","target":"record","payload":{"canonical_record":{"source":{"id":"1607.04322","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-07-14T21:14:06Z","cross_cats_sorted":["cs.CC","math.IT"],"title_canon_sha256":"6e1c515372617142b2f2a637c6d49297f64abdf0480cee045debe95697c0851b","abstract_canon_sha256":"b4f684b614d87da9b44ed41cadda449bb7d66ab8434a2fd9ae22e946b3197a66"},"schema_version":"1.0"},"canonical_sha256":"53e2ad7b90a78d4133c700b63c2e0e42337a340ea32bc1ed3bf0ef09fc68cf3f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:01.510562Z","signature_b64":"nzycifIhKbVW78NJKP7M76Q5kY7aMePTVER+kiPwWcI3CxfIZu52Y6K20cG2y0cHlWYiUM84LxO3lJpx1W33DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"53e2ad7b90a78d4133c700b63c2e0e42337a340ea32bc1ed3bf0ef09fc68cf3f","last_reissued_at":"2026-05-18T01:11:01.509884Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:01.509884Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.04322","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:11:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C4BF7PZVGv92Qs5zCmSWmzClA0NQNYJIGMC0qBclOgGv/k/OsvKzd3qTNGINFR2UpC19KxIHn3+cz2gFXKkgCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:37:05.266044Z"},"content_sha256":"21ad65d1a29fa7c6e1142c1a1a1a784730b9d120eb40f9fae7905caece44c8a4","schema_version":"1.0","event_id":"sha256:21ad65d1a29fa7c6e1142c1a1a1a784730b9d120eb40f9fae7905caece44c8a4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:KPRK264QU6GUCM6HAC3DYLQOII","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Decidability of Non-Interactive Simulation of Joint Distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC","math.IT"],"primary_cat":"cs.IT","authors_text":"Badih Ghazi, Madhu Sudan, Pritish Kamath","submitted_at":"2016-07-14T21:14:06Z","abstract_excerpt":"We present decidability results for a sub-class of \"non-interactive\" simulation problems, a well-studied class of problems in information theory. A non-interactive simulation problem is specified by two distributions $P(x,y)$ and $Q(u,v)$: The goal is to determine if two players, Alice and Bob, that observe sequences $X^n$ and $Y^n$ respectively where $\\{(X_i, Y_i)\\}_{i=1}^n$ are drawn i.i.d. from $P(x,y)$ can generate pairs $U$ and $V$ respectively (without communicating with each other) with a joint distribution that is arbitrarily close in total variation to $Q(u,v)$. Even when $P$ and $Q$ "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.04322","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:11:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Oib2t6IlhtBfYEA7MReGpAoaQEODZDGqmZn4XQrMOnIt6k04c5Cdrv37f9IxB8kQr6xbCDj+8k/S2NsxVCWqBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:37:05.266441Z"},"content_sha256":"f86b77c352e789e586c74a333ef8c183f2448df8c648f9f07fa5ac4a343ebfd7","schema_version":"1.0","event_id":"sha256:f86b77c352e789e586c74a333ef8c183f2448df8c648f9f07fa5ac4a343ebfd7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KPRK264QU6GUCM6HAC3DYLQOII/bundle.json","state_url":"https://pith.science/pith/KPRK264QU6GUCM6HAC3DYLQOII/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KPRK264QU6GUCM6HAC3DYLQOII/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":"2026-05-26T20:37:05Z","links":{"resolver":"https://pith.science/pith/KPRK264QU6GUCM6HAC3DYLQOII","bundle":"https://pith.science/pith/KPRK264QU6GUCM6HAC3DYLQOII/bundle.json","state":"https://pith.science/pith/KPRK264QU6GUCM6HAC3DYLQOII/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KPRK264QU6GUCM6HAC3DYLQOII/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:KPRK264QU6GUCM6HAC3DYLQOII","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":"b4f684b614d87da9b44ed41cadda449bb7d66ab8434a2fd9ae22e946b3197a66","cross_cats_sorted":["cs.CC","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-07-14T21:14:06Z","title_canon_sha256":"6e1c515372617142b2f2a637c6d49297f64abdf0480cee045debe95697c0851b"},"schema_version":"1.0","source":{"id":"1607.04322","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.04322","created_at":"2026-05-18T01:11:01Z"},{"alias_kind":"arxiv_version","alias_value":"1607.04322v1","created_at":"2026-05-18T01:11:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.04322","created_at":"2026-05-18T01:11:01Z"},{"alias_kind":"pith_short_12","alias_value":"KPRK264QU6GU","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"KPRK264QU6GUCM6H","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"KPRK264Q","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:f86b77c352e789e586c74a333ef8c183f2448df8c648f9f07fa5ac4a343ebfd7","target":"graph","created_at":"2026-05-18T01:11:01Z","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 present decidability results for a sub-class of \"non-interactive\" simulation problems, a well-studied class of problems in information theory. A non-interactive simulation problem is specified by two distributions $P(x,y)$ and $Q(u,v)$: The goal is to determine if two players, Alice and Bob, that observe sequences $X^n$ and $Y^n$ respectively where $\\{(X_i, Y_i)\\}_{i=1}^n$ are drawn i.i.d. from $P(x,y)$ can generate pairs $U$ and $V$ respectively (without communicating with each other) with a joint distribution that is arbitrarily close in total variation to $Q(u,v)$. Even when $P$ and $Q$ ","authors_text":"Badih Ghazi, Madhu Sudan, Pritish Kamath","cross_cats":["cs.CC","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-07-14T21:14:06Z","title":"Decidability of Non-Interactive Simulation of Joint Distributions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.04322","kind":"arxiv","version":1},"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":"sha256:21ad65d1a29fa7c6e1142c1a1a1a784730b9d120eb40f9fae7905caece44c8a4","target":"record","created_at":"2026-05-18T01:11:01Z","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":"b4f684b614d87da9b44ed41cadda449bb7d66ab8434a2fd9ae22e946b3197a66","cross_cats_sorted":["cs.CC","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-07-14T21:14:06Z","title_canon_sha256":"6e1c515372617142b2f2a637c6d49297f64abdf0480cee045debe95697c0851b"},"schema_version":"1.0","source":{"id":"1607.04322","kind":"arxiv","version":1}},"canonical_sha256":"53e2ad7b90a78d4133c700b63c2e0e42337a340ea32bc1ed3bf0ef09fc68cf3f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53e2ad7b90a78d4133c700b63c2e0e42337a340ea32bc1ed3bf0ef09fc68cf3f","first_computed_at":"2026-05-18T01:11:01.509884Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:01.509884Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nzycifIhKbVW78NJKP7M76Q5kY7aMePTVER+kiPwWcI3CxfIZu52Y6K20cG2y0cHlWYiUM84LxO3lJpx1W33DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:01.510562Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.04322","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:21ad65d1a29fa7c6e1142c1a1a1a784730b9d120eb40f9fae7905caece44c8a4","sha256:f86b77c352e789e586c74a333ef8c183f2448df8c648f9f07fa5ac4a343ebfd7"],"state_sha256":"5df23c3f9f0b299b7f877111c2eeddfb4f5229263df635112241eab6b24b8134"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hK6zQDbHvd2ATVWGE3rufnUic6E35hjTmUkmaaRo4wVPxxVDxYemvlYR91BRs/MWPX0pfU2v4sbApx5lDMyiCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T20:37:05.270242Z","bundle_sha256":"b0f31dfb3add64c67fdfe89a01aa1013e307dbd53aae4d463e2493e6633726c3"}}