{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:P2Q7E442AKKHIAL5NMZ3RL7ADK","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":"1b5e66bf3a5f0213feca205432002749ca7a21a9fc87cf6b1fc149de6fa6ff37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2023-02-11T12:38:26Z","title_canon_sha256":"55c0686d48adec3fca04a8ef2911520ecca9665292c98585ed3e5b09f59853f0"},"schema_version":"1.0","source":{"id":"2302.05682","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.05682","created_at":"2026-07-05T07:01:58Z"},{"alias_kind":"arxiv_version","alias_value":"2302.05682v2","created_at":"2026-07-05T07:01:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.05682","created_at":"2026-07-05T07:01:58Z"},{"alias_kind":"pith_short_12","alias_value":"P2Q7E442AKKH","created_at":"2026-07-05T07:01:58Z"},{"alias_kind":"pith_short_16","alias_value":"P2Q7E442AKKHIAL5","created_at":"2026-07-05T07:01:58Z"},{"alias_kind":"pith_short_8","alias_value":"P2Q7E442","created_at":"2026-07-05T07:01:58Z"}],"graph_snapshots":[{"event_id":"sha256:2c380f07e64b4c730dcdfa6e5a1ca8c2f23af992c95ff3430765c71e4d196e3a","target":"graph","created_at":"2026-07-05T07:01:58Z","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/2302.05682/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A classical problem in random number generation is the sampling of elements from a given discrete distribution. Formally, given a set of indices $S = \\{1, \\dots, n\\}$ and sequence of weights $w_1, \\dots, w_n \\in \\mathbb{R}^+$, the task is to provide samples from $S$ with distribution $p(i) = w_i / W$ where $W = \\sum_j w_j$. A commonly accepted solution is Walker's Alias Table, which allows for each sample to be drawn in constant time. However, some applications correspond to a dynamic setting, where elements are inserted or removed, or weights change over time. Here, the Alias Table is not eff","authors_text":"Daniel Allendorf","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2023-02-11T12:38:26Z","title":"Maintaining Discrete Probability Distributions in Practice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.05682","kind":"arxiv","version":2},"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":"sha256:53c6d271b24151cea523c47d3d4ccf9216aa447e406b5213a3a21f9c2a18a05f","target":"record","created_at":"2026-07-05T07:01:58Z","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":"1b5e66bf3a5f0213feca205432002749ca7a21a9fc87cf6b1fc149de6fa6ff37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2023-02-11T12:38:26Z","title_canon_sha256":"55c0686d48adec3fca04a8ef2911520ecca9665292c98585ed3e5b09f59853f0"},"schema_version":"1.0","source":{"id":"2302.05682","kind":"arxiv","version":2}},"canonical_sha256":"7ea1f2739a029474017d6b33b8afe01ab3dae197400deaf35d4d3de4c702c5d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ea1f2739a029474017d6b33b8afe01ab3dae197400deaf35d4d3de4c702c5d9","first_computed_at":"2026-07-05T07:01:58.909587Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:01:58.909587Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wHiCh3kYh9y5zP91Mnd+Hq9OATJgTrVKEPcXIKv7zoFH/jhEf3JpOid1blKSirZYju9HvFfj46SLjKOP6/+JBw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:01:58.910072Z","signed_message":"canonical_sha256_bytes"},"source_id":"2302.05682","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53c6d271b24151cea523c47d3d4ccf9216aa447e406b5213a3a21f9c2a18a05f","sha256:2c380f07e64b4c730dcdfa6e5a1ca8c2f23af992c95ff3430765c71e4d196e3a"],"state_sha256":"08334526d1b97221f532a401a36b985a5251dfca0873d06ec5fd6cf0805f0b56"}