{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:W7MEQOPXMRQBRAAPWS32HSY2ND","merge_version":"pith-open-graph-merge-v1","event_count":5,"valid_event_count":5,"invalid_event_count":0,"equivocation_count":1,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"559fe5ddde32785d95fc75ff00cc4a197001190f5043401204b53601ccc5de2a","cross_cats_sorted":["cs.AI","cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-05-22T12:16:58Z","title_canon_sha256":"5c0899b5ce1af5297be0dd1b6f0074a628dd2f60c74bd9c083ef556cd7af4aec"},"schema_version":"1.0","source":{"id":"2605.23550","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.23550","created_at":"2026-05-25T02:02:00Z"},{"alias_kind":"arxiv_version","alias_value":"2605.23550v1","created_at":"2026-05-25T02:02:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.23550","created_at":"2026-05-25T02:02:00Z"},{"alias_kind":"pith_short_12","alias_value":"W7MEQOPXMRQB","created_at":"2026-05-25T02:02:00Z"},{"alias_kind":"pith_short_16","alias_value":"W7MEQOPXMRQBRAAP","created_at":"2026-05-25T02:02:00Z"},{"alias_kind":"pith_short_8","alias_value":"W7MEQOPX","created_at":"2026-05-25T02:02:00Z"}],"graph_snapshots":[{"event_id":"sha256:074a1b25accd6f3578b59b723a2d239da4a066c89bb5a657abd870538d4d5ef5","target":"graph","created_at":"2026-05-25T02:02:00Z","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/2605.23550/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study nonsmooth difference-of-convex programs whose subtracted convex term is a finite maximum of smooth convex functions. In this setting, standard DCA iterations may converge to critical points that are not directionally stationary, whereas exact active-vertex screening can be expensive when active sets are large or combinatorial. We propose RA-DCA, a vertex-first randomized active-set DCA that projects active gradients onto sampled directions, checks a sampled vertex residual, and uses a small linear program only as a low-residual convex-combination fallback. The method preserves the des","authors_text":"Yi-Shuai Niu","cross_cats":["cs.AI","cs.NA","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-05-22T12:16:58Z","title":"RA-DCA: A Randomized Active-Set DCA for Directional Stationarity in Max-Structured DC Programs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.23550","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:a7ffb273375a1f30c4d843e0e39d27713d052094c6b9b8139df91462ab5ba6af","target":"record","created_at":"2026-05-25T02:02:00Z","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":"559fe5ddde32785d95fc75ff00cc4a197001190f5043401204b53601ccc5de2a","cross_cats_sorted":["cs.AI","cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-05-22T12:16:58Z","title_canon_sha256":"5c0899b5ce1af5297be0dd1b6f0074a628dd2f60c74bd9c083ef556cd7af4aec"},"schema_version":"1.0","source":{"id":"2605.23550","kind":"arxiv","version":1}},"canonical_sha256":"b7d84839f7646018800fb4b7a3cb1a68dff5c65c362ce9a03187e4d1eab49ce0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b7d84839f7646018800fb4b7a3cb1a68dff5c65c362ce9a03187e4d1eab49ce0","first_computed_at":"2026-05-25T02:02:00.467051Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-25T02:02:00.467051Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vDOmYfr6ReXP8YRwzDYs6cWBgG27ScWscywGIwSJH4k4qowvPRgloCAB99ID9hU/FR1InXtRc8Vggut15IoICA==","signature_status":"signed_v1","signed_at":"2026-05-25T02:02:00.467990Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.23550","source_kind":"arxiv","source_version":1}}},"equivocations":[{"signer_id":"pith.science","event_type":"integrity_finding","target":"integrity","event_ids":["sha256:27db5149739fc1f2ada44c84f530ed55ded59e1e58088fd6f6c518a27c5ad606","sha256:92a512709a896614acfc71d894664b56d00b285c6971ff29cc7133ca3e58ee47","sha256:9f80950fcfd43eea5c0486b61f1ad4ea6f511c7a048355c8102069ed788ec703"]}],"invalid_events":[],"applied_event_ids":["sha256:a7ffb273375a1f30c4d843e0e39d27713d052094c6b9b8139df91462ab5ba6af","sha256:074a1b25accd6f3578b59b723a2d239da4a066c89bb5a657abd870538d4d5ef5"],"state_sha256":"620313f4a0042c0fb88b7fe59dfad034c0ae54036d2bec67f873503b45b34753"}