{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:6OIBQ5HOPKSFCKYXNPCITVAEEU","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":"239c58b1cd2f59ae97ea5ec8ca1d461bc82181d2fb00b611dc89ccddc8739ed4","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.DS","submitted_at":"2025-01-02T05:41:21Z","title_canon_sha256":"eeb4a1985a4d574b953ed3c563765c17428e3165a4d4948cbbd7675199494ee3"},"schema_version":"1.0","source":{"id":"2501.01071","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.01071","created_at":"2026-07-05T09:56:14Z"},{"alias_kind":"arxiv_version","alias_value":"2501.01071v1","created_at":"2026-07-05T09:56:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.01071","created_at":"2026-07-05T09:56:14Z"},{"alias_kind":"pith_short_12","alias_value":"6OIBQ5HOPKSF","created_at":"2026-07-05T09:56:14Z"},{"alias_kind":"pith_short_16","alias_value":"6OIBQ5HOPKSFCKYX","created_at":"2026-07-05T09:56:14Z"},{"alias_kind":"pith_short_8","alias_value":"6OIBQ5HO","created_at":"2026-07-05T09:56:14Z"}],"graph_snapshots":[{"event_id":"sha256:48bd9396a9f3072694367169da03caabc579a4ccef55821565a89de2fb876a2e","target":"graph","created_at":"2026-07-05T09:56:14Z","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/2501.01071/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This article provides a comprehensive exploration of submodular maximization problems, focusing on those subject to uniform and partition matroids. Crucial for a wide array of applications in fields ranging from computer science to systems engineering, submodular maximization entails selecting elements from a discrete set to optimize a submodular utility function under certain constraints. We explore the foundational aspects of submodular functions and matroids, outlining their core properties and illustrating their application through various optimization scenarios. Central to our exposition ","authors_text":"Solmaz S. Kia","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.DS","submitted_at":"2025-01-02T05:41:21Z","title":"Submodular Maximization Subject to Uniform and Partition Matroids: From Theory to Practical Applications and Distributed Solutions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.01071","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":"sha256:979477026a1afd22ddbff2ec50e943556e2f2338120169f1ade71f0ce31f0976","target":"record","created_at":"2026-07-05T09:56:14Z","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":"239c58b1cd2f59ae97ea5ec8ca1d461bc82181d2fb00b611dc89ccddc8739ed4","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.DS","submitted_at":"2025-01-02T05:41:21Z","title_canon_sha256":"eeb4a1985a4d574b953ed3c563765c17428e3165a4d4948cbbd7675199494ee3"},"schema_version":"1.0","source":{"id":"2501.01071","kind":"arxiv","version":1}},"canonical_sha256":"f3901874ee7aa4512b176bc489d404251aab467eb3fcf3bf25f81ed67b7a6e36","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f3901874ee7aa4512b176bc489d404251aab467eb3fcf3bf25f81ed67b7a6e36","first_computed_at":"2026-07-05T09:56:14.304358Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:56:14.304358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UfNKrEtPTccnh7kwpJlFCjo9IcaCX2QzrYNqldyHLAb5rmDDFHvfvmyNQPaYQhPSEIHFXHC4oiuM9SmqhsPtAA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:56:14.304803Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.01071","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:979477026a1afd22ddbff2ec50e943556e2f2338120169f1ade71f0ce31f0976","sha256:48bd9396a9f3072694367169da03caabc579a4ccef55821565a89de2fb876a2e"],"state_sha256":"ba789bbc2c455895fcf6afeba1e08c5444117e25779dee6645e72fdab0fa2ce9"}