{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:DXRZRUYTWKBGLGVHGEDFUIXS3L","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":"6dccf030eb4feaae7a27496103f0fd15f99e6186eb37ef79f6fa3a0d0fc3ea8f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2017-02-14T03:48:32Z","title_canon_sha256":"da7e45ea9e05c3c60746fec73aeb1831afec69cc8294522ec6bbe7049ab4458a"},"schema_version":"1.0","source":{"id":"1702.04067","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.04067","created_at":"2026-05-18T00:34:15Z"},{"alias_kind":"arxiv_version","alias_value":"1702.04067v3","created_at":"2026-05-18T00:34:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.04067","created_at":"2026-05-18T00:34:15Z"},{"alias_kind":"pith_short_12","alias_value":"DXRZRUYTWKBG","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"DXRZRUYTWKBGLGVH","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"DXRZRUYT","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:6a1d3ecf8855a82515000b7a5935b6669a34ad2267641d9a496e343cf10c1ab3","target":"graph","created_at":"2026-05-18T00:34:15Z","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":"Recently, Deshpande et al. introduced a new measure of the complexity of a Boolean function. We call this measure the \"goal value\" of the function. The goal value of $f$ is defined in terms of a monotone, submodular utility function associated with $f$. As shown by Deshpande et al., proving that a Boolean function $f$ has small goal value can lead to a good approximation algorithm for the Stochastic Boolean Function Evaluation problem for $f$. Also, if $f$ has small goal value, it indicates a close relationship between two other measures of the complexity of $f$, its average-case decision tree","authors_text":"Devorah Kletenik, Eric Bach, Jeremie Dusart, Lisa Hellerstein","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2017-02-14T03:48:32Z","title":"Submodular Goal Value of Boolean Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.04067","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":"sha256:16fc938c94dcfdca6b193fc62db85f3601a2f8fb4469cc2f8afdda4a9378d2e5","target":"record","created_at":"2026-05-18T00:34:15Z","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":"6dccf030eb4feaae7a27496103f0fd15f99e6186eb37ef79f6fa3a0d0fc3ea8f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2017-02-14T03:48:32Z","title_canon_sha256":"da7e45ea9e05c3c60746fec73aeb1831afec69cc8294522ec6bbe7049ab4458a"},"schema_version":"1.0","source":{"id":"1702.04067","kind":"arxiv","version":3}},"canonical_sha256":"1de398d313b282659aa731065a22f2dad0029ed1aebfc9c3a791184d5ea2f995","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1de398d313b282659aa731065a22f2dad0029ed1aebfc9c3a791184d5ea2f995","first_computed_at":"2026-05-18T00:34:15.437877Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:15.437877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"09WuzELIlJSSVgyewimSYjHdFP2+C4N+HfJAxMAeIG1LNpDs17LFLjgmFYiaIJIO4o267MjipadT9VbC6vK3DA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:15.438536Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.04067","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:16fc938c94dcfdca6b193fc62db85f3601a2f8fb4469cc2f8afdda4a9378d2e5","sha256:6a1d3ecf8855a82515000b7a5935b6669a34ad2267641d9a496e343cf10c1ab3"],"state_sha256":"eb099e37c3c50f58c8de4389acdf87185201bbd78e663fa62fa4cdc75e801279"}