{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:U4RMLSL36DFPETEGMSV5FFS4H3","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":"2c7f2c77ebcf27c6f2f7c74e1097b5414e83dd3073bcfd52cb77a669979c53fd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2024-03-26T19:24:40Z","title_canon_sha256":"60a6298a6ca1c76bab726692615f1b4408ea71ff699d5cdf335682b4f1d82251"},"schema_version":"1.0","source":{"id":"2403.18059","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.18059","created_at":"2026-06-02T01:03:28Z"},{"alias_kind":"arxiv_version","alias_value":"2403.18059v6","created_at":"2026-06-02T01:03:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.18059","created_at":"2026-06-02T01:03:28Z"},{"alias_kind":"pith_short_12","alias_value":"U4RMLSL36DFP","created_at":"2026-06-02T01:03:28Z"},{"alias_kind":"pith_short_16","alias_value":"U4RMLSL36DFPETEG","created_at":"2026-06-02T01:03:28Z"},{"alias_kind":"pith_short_8","alias_value":"U4RMLSL3","created_at":"2026-06-02T01:03:28Z"}],"graph_snapshots":[{"event_id":"sha256:87b77bd4f3c27e8bcbc57baed214a066cd8649acdf28f6150669fd0de39c49df","target":"graph","created_at":"2026-06-02T01:03:28Z","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/2403.18059/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We generalize the problem of online submodular welfare maximization to incorporate various stochastic elements that have gained significant attention in recent years. We show that a non-adaptive Greedy algorithm, which is oblivious to the realization of these stochastic elements, achieves the best possible competitive ratio among all polynomial-time algorithms, including adaptive ones, unless NP$=$RP. This result holds even when the objective function is not submodular but instead satisfies the weaker submodular order property. Our results unify and strengthen existing competitive ratio bounds","authors_text":"Rajan Udwani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2024-03-26T19:24:40Z","title":"Optimality of Non-Adaptive Algorithms in Online Submodular Welfare Maximization with Stochastic Outcomes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.18059","kind":"arxiv","version":6},"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":"sha256:8a32033e39810efd1d8548cee239d07d03f308f0d6f597235982dfa74c14793b","target":"record","created_at":"2026-06-02T01:03:28Z","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":"2c7f2c77ebcf27c6f2f7c74e1097b5414e83dd3073bcfd52cb77a669979c53fd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2024-03-26T19:24:40Z","title_canon_sha256":"60a6298a6ca1c76bab726692615f1b4408ea71ff699d5cdf335682b4f1d82251"},"schema_version":"1.0","source":{"id":"2403.18059","kind":"arxiv","version":6}},"canonical_sha256":"a722c5c97bf0caf24c8664abd2965c3edfeb0034a533b24a93622041bbdf1e73","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a722c5c97bf0caf24c8664abd2965c3edfeb0034a533b24a93622041bbdf1e73","first_computed_at":"2026-06-02T01:03:28.462395Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-02T01:03:28.462395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mtFI5/w+7A5HqxTrV2nODMfHyLi10ciTofnIKq9JykcH9RDRusAldtKx1X5qY/Z/qhEvOSXLtvKYAGIFksQSAQ==","signature_status":"signed_v1","signed_at":"2026-06-02T01:03:28.462774Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.18059","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a32033e39810efd1d8548cee239d07d03f308f0d6f597235982dfa74c14793b","sha256:87b77bd4f3c27e8bcbc57baed214a066cd8649acdf28f6150669fd0de39c49df"],"state_sha256":"89c2f2c3b35b17bb0ffc3e86061bb9e5fcbc8e8f618ef2a52ad06f66ae2bb041"}