{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:UZP7UTTMPYWWXQNGZ7ZPRJDRLQ","short_pith_number":"pith:UZP7UTTM","canonical_record":{"source":{"id":"1611.07103","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-11-21T23:37:31Z","cross_cats_sorted":["math.ST","stat.ML","stat.TH"],"title_canon_sha256":"a6cf9e772a4cbeca919fcf85529a0e45d8dd1b98cad2f6ae6452c9d2dae71e17","abstract_canon_sha256":"fa9b8e39c3b0231e5ff48d2ccebbb29272a9c8b687cd627cb36f0e6f6eb2e777"},"schema_version":"1.0"},"canonical_sha256":"a65ffa4e6c7e2d6bc1a6cff2f8a4715c100f158c331ebb2625c5a6a8e84594f3","source":{"kind":"arxiv","id":"1611.07103","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.07103","created_at":"2026-05-18T00:26:51Z"},{"alias_kind":"arxiv_version","alias_value":"1611.07103v3","created_at":"2026-05-18T00:26:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.07103","created_at":"2026-05-18T00:26:51Z"},{"alias_kind":"pith_short_12","alias_value":"UZP7UTTMPYWW","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UZP7UTTMPYWWXQNG","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UZP7UTTM","created_at":"2026-05-18T12:30:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:UZP7UTTMPYWWXQNGZ7ZPRJDRLQ","target":"record","payload":{"canonical_record":{"source":{"id":"1611.07103","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-11-21T23:37:31Z","cross_cats_sorted":["math.ST","stat.ML","stat.TH"],"title_canon_sha256":"a6cf9e772a4cbeca919fcf85529a0e45d8dd1b98cad2f6ae6452c9d2dae71e17","abstract_canon_sha256":"fa9b8e39c3b0231e5ff48d2ccebbb29272a9c8b687cd627cb36f0e6f6eb2e777"},"schema_version":"1.0"},"canonical_sha256":"a65ffa4e6c7e2d6bc1a6cff2f8a4715c100f158c331ebb2625c5a6a8e84594f3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:51.901642Z","signature_b64":"AH8dbedAmvwS9nz61ecw6BA1zFcxQCAg3R56ZuYDN6JbJ7NjPeg1eZtrBZvD5+UQNxa3XJzRO27siA2Iorg4Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a65ffa4e6c7e2d6bc1a6cff2f8a4715c100f158c331ebb2625c5a6a8e84594f3","last_reissued_at":"2026-05-18T00:26:51.900930Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:51.900930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.07103","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:26:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dz+yYXhpRo4OY8iZ56OZlu6iguswNU6GhpSnHvMmHN6iWd8FoF06MP6RbepnGxn48FSfMYguHEC9ciI8x6IPAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T09:42:50.458131Z"},"content_sha256":"65c4a8b95c6e86d7e9b846102ff5c99ad5b576d95ffc9fcd5163f48bb0235a6b","schema_version":"1.0","event_id":"sha256:65c4a8b95c6e86d7e9b846102ff5c99ad5b576d95ffc9fcd5163f48bb0235a6b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:UZP7UTTMPYWWXQNGZ7ZPRJDRLQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generation of discrete random variables in scalable frameworks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.ML","stat.TH"],"primary_cat":"stat.ME","authors_text":"Giacomo Aletti","submitted_at":"2016-11-21T23:37:31Z","abstract_excerpt":"In this paper, we face the problem of simulating discrete random variables with general and varying distributions in a scalable framework, where fully parallelizable operations should be preferred. The new paradigm is inspired by the context of discrete choice models. Compared to classical algorithms, we add parallelized randomness, and we leave the final simulation of the random variable to a single associative operation. We characterize the set of algorithms that work in this way, and those algorithms that may have an additive or multiplicative local noise. As a consequence, we could define "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.07103","kind":"arxiv","version":3},"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":"2026-05-18T00:26:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+pEx8LJSroVBM/lq5ZHr83fxbhwVuiPJbF7xLvKJ/NGtxNsmYGvg/12GNUHGqZWO2kWeEz7WlftWK3afx8s8Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T09:42:50.458499Z"},"content_sha256":"2dbac42740d8fcc642f2e7b95573b65302b6799a9ab0f74fe0e57730af5b7dbc","schema_version":"1.0","event_id":"sha256:2dbac42740d8fcc642f2e7b95573b65302b6799a9ab0f74fe0e57730af5b7dbc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UZP7UTTMPYWWXQNGZ7ZPRJDRLQ/bundle.json","state_url":"https://pith.science/pith/UZP7UTTMPYWWXQNGZ7ZPRJDRLQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UZP7UTTMPYWWXQNGZ7ZPRJDRLQ/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":"2026-06-03T09:42:50Z","links":{"resolver":"https://pith.science/pith/UZP7UTTMPYWWXQNGZ7ZPRJDRLQ","bundle":"https://pith.science/pith/UZP7UTTMPYWWXQNGZ7ZPRJDRLQ/bundle.json","state":"https://pith.science/pith/UZP7UTTMPYWWXQNGZ7ZPRJDRLQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UZP7UTTMPYWWXQNGZ7ZPRJDRLQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:UZP7UTTMPYWWXQNGZ7ZPRJDRLQ","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":"fa9b8e39c3b0231e5ff48d2ccebbb29272a9c8b687cd627cb36f0e6f6eb2e777","cross_cats_sorted":["math.ST","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-11-21T23:37:31Z","title_canon_sha256":"a6cf9e772a4cbeca919fcf85529a0e45d8dd1b98cad2f6ae6452c9d2dae71e17"},"schema_version":"1.0","source":{"id":"1611.07103","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.07103","created_at":"2026-05-18T00:26:51Z"},{"alias_kind":"arxiv_version","alias_value":"1611.07103v3","created_at":"2026-05-18T00:26:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.07103","created_at":"2026-05-18T00:26:51Z"},{"alias_kind":"pith_short_12","alias_value":"UZP7UTTMPYWW","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UZP7UTTMPYWWXQNG","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UZP7UTTM","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:2dbac42740d8fcc642f2e7b95573b65302b6799a9ab0f74fe0e57730af5b7dbc","target":"graph","created_at":"2026-05-18T00:26:51Z","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":"In this paper, we face the problem of simulating discrete random variables with general and varying distributions in a scalable framework, where fully parallelizable operations should be preferred. The new paradigm is inspired by the context of discrete choice models. Compared to classical algorithms, we add parallelized randomness, and we leave the final simulation of the random variable to a single associative operation. We characterize the set of algorithms that work in this way, and those algorithms that may have an additive or multiplicative local noise. As a consequence, we could define ","authors_text":"Giacomo Aletti","cross_cats":["math.ST","stat.ML","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-11-21T23:37:31Z","title":"Generation of discrete random variables in scalable frameworks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.07103","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":"sha256:65c4a8b95c6e86d7e9b846102ff5c99ad5b576d95ffc9fcd5163f48bb0235a6b","target":"record","created_at":"2026-05-18T00:26:51Z","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":"fa9b8e39c3b0231e5ff48d2ccebbb29272a9c8b687cd627cb36f0e6f6eb2e777","cross_cats_sorted":["math.ST","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-11-21T23:37:31Z","title_canon_sha256":"a6cf9e772a4cbeca919fcf85529a0e45d8dd1b98cad2f6ae6452c9d2dae71e17"},"schema_version":"1.0","source":{"id":"1611.07103","kind":"arxiv","version":3}},"canonical_sha256":"a65ffa4e6c7e2d6bc1a6cff2f8a4715c100f158c331ebb2625c5a6a8e84594f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a65ffa4e6c7e2d6bc1a6cff2f8a4715c100f158c331ebb2625c5a6a8e84594f3","first_computed_at":"2026-05-18T00:26:51.900930Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:51.900930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AH8dbedAmvwS9nz61ecw6BA1zFcxQCAg3R56ZuYDN6JbJ7NjPeg1eZtrBZvD5+UQNxa3XJzRO27siA2Iorg4Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:51.901642Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.07103","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65c4a8b95c6e86d7e9b846102ff5c99ad5b576d95ffc9fcd5163f48bb0235a6b","sha256:2dbac42740d8fcc642f2e7b95573b65302b6799a9ab0f74fe0e57730af5b7dbc"],"state_sha256":"5ddf386571340e29f36f60692bb7b2a92cd73002755c51874bac2eaa3e81c467"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z3bhIbHqjZXtQUetiuoLeXnal/u8RfgM6BkK0bpVQHIiTeNJ2feivTgeaud9C1F1xyXggZ4LPVugvvSAVp9uAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T09:42:50.460488Z","bundle_sha256":"cb340425ffdabda9dc84c33358d1ac4bbb4c35ebf8feffcdd08df4f243fe5282"}}