{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:JH6QVHE7CF2HFFNFB25LJ4W32B","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":"66a24f37d244e5a23285ffb4a6611f4d043fe4c1c6cfa6fbae5d428813734ad7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2016-08-02T02:07:51Z","title_canon_sha256":"95c50eb5db6f583c1050bb71a0afc43be546d655c1241eba0e16c8d5cde1cbf7"},"schema_version":"1.0","source":{"id":"1608.00673","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.00673","created_at":"2026-05-18T01:10:01Z"},{"alias_kind":"arxiv_version","alias_value":"1608.00673v1","created_at":"2026-05-18T01:10:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.00673","created_at":"2026-05-18T01:10:01Z"},{"alias_kind":"pith_short_12","alias_value":"JH6QVHE7CF2H","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JH6QVHE7CF2HFFNF","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JH6QVHE7","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:d13ae75c8b8389c65631d38826343181558a3fe2f88ab19d46738b88130f8230","target":"graph","created_at":"2026-05-18T01:10:01Z","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":"Suppose we are given a submodular function $f$ over a set of elements, and we want to maximize its value subject to certain constraints. Good approximation algorithms are known for such problems under both monotone and non-monotone submodular functions. We consider these problems in a stochastic setting, where elements are not all active and we can only get value from active elements. Each element $e$ is active independently with some known probability $p_e$, but we don't know the element's status \\emph{a priori}. We find it out only when we \\emph{probe} the element $e$---probing reveals wheth","authors_text":"Anupam Gupta, Sahil Singla, Viswanath Nagarajan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2016-08-02T02:07:51Z","title":"Adaptivity Gaps for Stochastic Probing: Submodular and XOS Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.00673","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":"sha256:999be2b59b4f933c9167f8c954e45347a0f2b8e565439e4ab69f9dd29f0b991b","target":"record","created_at":"2026-05-18T01:10:01Z","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":"66a24f37d244e5a23285ffb4a6611f4d043fe4c1c6cfa6fbae5d428813734ad7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2016-08-02T02:07:51Z","title_canon_sha256":"95c50eb5db6f583c1050bb71a0afc43be546d655c1241eba0e16c8d5cde1cbf7"},"schema_version":"1.0","source":{"id":"1608.00673","kind":"arxiv","version":1}},"canonical_sha256":"49fd0a9c9f11747295a50ebab4f2dbd042f82bad30282c79298a8fd25a157951","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"49fd0a9c9f11747295a50ebab4f2dbd042f82bad30282c79298a8fd25a157951","first_computed_at":"2026-05-18T01:10:01.349414Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:01.349414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m0LJ6ZPJhBOlR1uQ0GYD6wanBy5V1jRu5S36RfsuD/OsN8X7NsNXyp+wm95LzEEUuFVi95wr4VuqEoJ8QpR1DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:01.349980Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.00673","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:999be2b59b4f933c9167f8c954e45347a0f2b8e565439e4ab69f9dd29f0b991b","sha256:d13ae75c8b8389c65631d38826343181558a3fe2f88ab19d46738b88130f8230"],"state_sha256":"eba892c573c4af81f9f95b511015c7102019c72319c99a8003db874dd2535f94"}