{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:KXZOITZMOMK4NTQFHBFUJCWP6D","short_pith_number":"pith:KXZOITZM","canonical_record":{"source":{"id":"2409.18036","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2024-09-26T16:42:10Z","cross_cats_sorted":["cs.DB"],"title_canon_sha256":"2479c64d138dd62fc58a45e930bad6b6174bf155d60fe6baaaae7e81cb1b78bc","abstract_canon_sha256":"46e81356e9dfc8d624c9847f9a21ecc03cd7a2ee071f30b8f3e3b715b97e8980"},"schema_version":"1.0"},"canonical_sha256":"55f2e44f2c7315c6ce05384b448acff0e413628a69e7dda15b0f4b22ba24bf3f","source":{"kind":"arxiv","id":"2409.18036","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.18036","created_at":"2026-07-05T09:12:19Z"},{"alias_kind":"arxiv_version","alias_value":"2409.18036v1","created_at":"2026-07-05T09:12:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.18036","created_at":"2026-07-05T09:12:19Z"},{"alias_kind":"pith_short_12","alias_value":"KXZOITZMOMK4","created_at":"2026-07-05T09:12:19Z"},{"alias_kind":"pith_short_16","alias_value":"KXZOITZMOMK4NTQF","created_at":"2026-07-05T09:12:19Z"},{"alias_kind":"pith_short_8","alias_value":"KXZOITZM","created_at":"2026-07-05T09:12:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:KXZOITZMOMK4NTQFHBFUJCWP6D","target":"record","payload":{"canonical_record":{"source":{"id":"2409.18036","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2024-09-26T16:42:10Z","cross_cats_sorted":["cs.DB"],"title_canon_sha256":"2479c64d138dd62fc58a45e930bad6b6174bf155d60fe6baaaae7e81cb1b78bc","abstract_canon_sha256":"46e81356e9dfc8d624c9847f9a21ecc03cd7a2ee071f30b8f3e3b715b97e8980"},"schema_version":"1.0"},"canonical_sha256":"55f2e44f2c7315c6ce05384b448acff0e413628a69e7dda15b0f4b22ba24bf3f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:12:19.584434Z","signature_b64":"aJlHTKvsdD84qR0sKOx0+/Lj/H2p29rOmbvuqh+axIUFsP0VC4N53Q+gxRO+3K3sS7NP4mjOehG1VcWMZOLLCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"55f2e44f2c7315c6ce05384b448acff0e413628a69e7dda15b0f4b22ba24bf3f","last_reissued_at":"2026-07-05T09:12:19.583916Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:12:19.583916Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2409.18036","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":"2026-07-05T09:12:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F64kn3zVhDsBb+9f4V39dMtMNRRg2Pn7RXAJh7oqdA2IsHm/NFIBHyM0Cm3qY+v/gDUoeXNR4TZ8Rd/WKMZnCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T17:05:38.829820Z"},"content_sha256":"4314aea938f525ef7392e432e18fa31dc86b1b9adaf77ea68285ec08b87509fd","schema_version":"1.0","event_id":"sha256:4314aea938f525ef7392e432e18fa31dc86b1b9adaf77ea68285ec08b87509fd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:KXZOITZMOMK4NTQFHBFUJCWP6D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal Dynamic Parameterized Subset Sampling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DB"],"primary_cat":"cs.DS","authors_text":"Anthony Wirth, Hanzhi Wang, Junhao Gan, Seeun William Umboh, Zhuo Zhang","submitted_at":"2024-09-26T16:42:10Z","abstract_excerpt":"In this paper, we study the Dynamic Parameterized Subset Sampling (DPSS) problem in the Word RAM model. In DPSS, the input is a set,~$S$, of~$n$ items, where each item,~$x$, has a non-negative integer weight,~$w(x)$. Given a pair of query parameters, $(\\alpha, \\beta)$, each of which is a non-negative rational number, a parameterized subset sampling query on~$S$ seeks to return a subset $T \\subseteq S$ such that each item $x \\in S$ is selected in~$T$, independently, with probability $p_x(\\alpha, \\beta) = \\min \\left\\{\\frac{w(x)}{\\alpha \\sum_{x\\in S} w(x)+\\beta}, 1 \\right\\}$. More specifically, t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.18036","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2409.18036/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T09:12:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G0yWwoNuZA3xyA41yLR7bjAzeSnsbU8lUKHTjw0HtCHez0EwJhiseX1GqToEVXATp/tj2GS+3fOZ4UmgfuhJBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T17:05:38.831152Z"},"content_sha256":"84e607cf50c181fc2aa47f3e7830fa4f3508110b92adb87bb5b63bce3dc09f0e","schema_version":"1.0","event_id":"sha256:84e607cf50c181fc2aa47f3e7830fa4f3508110b92adb87bb5b63bce3dc09f0e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KXZOITZMOMK4NTQFHBFUJCWP6D/bundle.json","state_url":"https://pith.science/pith/KXZOITZMOMK4NTQFHBFUJCWP6D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KXZOITZMOMK4NTQFHBFUJCWP6D/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":"2026-08-13T17:05:38Z","links":{"resolver":"https://pith.science/pith/KXZOITZMOMK4NTQFHBFUJCWP6D","bundle":"https://pith.science/pith/KXZOITZMOMK4NTQFHBFUJCWP6D/bundle.json","state":"https://pith.science/pith/KXZOITZMOMK4NTQFHBFUJCWP6D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KXZOITZMOMK4NTQFHBFUJCWP6D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:KXZOITZMOMK4NTQFHBFUJCWP6D","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":"46e81356e9dfc8d624c9847f9a21ecc03cd7a2ee071f30b8f3e3b715b97e8980","cross_cats_sorted":["cs.DB"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2024-09-26T16:42:10Z","title_canon_sha256":"2479c64d138dd62fc58a45e930bad6b6174bf155d60fe6baaaae7e81cb1b78bc"},"schema_version":"1.0","source":{"id":"2409.18036","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.18036","created_at":"2026-07-05T09:12:19Z"},{"alias_kind":"arxiv_version","alias_value":"2409.18036v1","created_at":"2026-07-05T09:12:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.18036","created_at":"2026-07-05T09:12:19Z"},{"alias_kind":"pith_short_12","alias_value":"KXZOITZMOMK4","created_at":"2026-07-05T09:12:19Z"},{"alias_kind":"pith_short_16","alias_value":"KXZOITZMOMK4NTQF","created_at":"2026-07-05T09:12:19Z"},{"alias_kind":"pith_short_8","alias_value":"KXZOITZM","created_at":"2026-07-05T09:12:19Z"}],"graph_snapshots":[{"event_id":"sha256:84e607cf50c181fc2aa47f3e7830fa4f3508110b92adb87bb5b63bce3dc09f0e","target":"graph","created_at":"2026-07-05T09:12:19Z","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/2409.18036/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we study the Dynamic Parameterized Subset Sampling (DPSS) problem in the Word RAM model. In DPSS, the input is a set,~$S$, of~$n$ items, where each item,~$x$, has a non-negative integer weight,~$w(x)$. Given a pair of query parameters, $(\\alpha, \\beta)$, each of which is a non-negative rational number, a parameterized subset sampling query on~$S$ seeks to return a subset $T \\subseteq S$ such that each item $x \\in S$ is selected in~$T$, independently, with probability $p_x(\\alpha, \\beta) = \\min \\left\\{\\frac{w(x)}{\\alpha \\sum_{x\\in S} w(x)+\\beta}, 1 \\right\\}$. More specifically, t","authors_text":"Anthony Wirth, Hanzhi Wang, Junhao Gan, Seeun William Umboh, Zhuo Zhang","cross_cats":["cs.DB"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2024-09-26T16:42:10Z","title":"Optimal Dynamic Parameterized Subset Sampling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.18036","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":"sha256:4314aea938f525ef7392e432e18fa31dc86b1b9adaf77ea68285ec08b87509fd","target":"record","created_at":"2026-07-05T09:12:19Z","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":"46e81356e9dfc8d624c9847f9a21ecc03cd7a2ee071f30b8f3e3b715b97e8980","cross_cats_sorted":["cs.DB"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2024-09-26T16:42:10Z","title_canon_sha256":"2479c64d138dd62fc58a45e930bad6b6174bf155d60fe6baaaae7e81cb1b78bc"},"schema_version":"1.0","source":{"id":"2409.18036","kind":"arxiv","version":1}},"canonical_sha256":"55f2e44f2c7315c6ce05384b448acff0e413628a69e7dda15b0f4b22ba24bf3f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55f2e44f2c7315c6ce05384b448acff0e413628a69e7dda15b0f4b22ba24bf3f","first_computed_at":"2026-07-05T09:12:19.583916Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:12:19.583916Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aJlHTKvsdD84qR0sKOx0+/Lj/H2p29rOmbvuqh+axIUFsP0VC4N53Q+gxRO+3K3sS7NP4mjOehG1VcWMZOLLCg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:12:19.584434Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.18036","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4314aea938f525ef7392e432e18fa31dc86b1b9adaf77ea68285ec08b87509fd","sha256:84e607cf50c181fc2aa47f3e7830fa4f3508110b92adb87bb5b63bce3dc09f0e"],"state_sha256":"f44a39ca06d7eb32e32457d1bfc36f91a3b344615768b28e3e5fa527cd346626"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kHVrwYHvEZemSuvROP2TulnQyuqil37Huy4BRwkxPSjafKvvGSxzCzORraziwDMiYAT1bDTscNJy91FNzHEFBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T17:05:38.838139Z","bundle_sha256":"084f34b9cb1c783a28c4ea6e924ace5da3d13d16948ca3605f9fb4274d29b344"}}