{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:LWJJ5WLW5PZ72VQ3VCCIVYA54X","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":"46f3968205fb42ddac2e104b8d115c511d335fb9092e62df844a161b69570e54","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2024-12-30T16:35:47Z","title_canon_sha256":"0e29d89c9541f016c717e90744f7f40a6c2de5f6ab1be0884aadd59d7fc70d22"},"schema_version":"1.0","source":{"id":"2412.21068","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.21068","created_at":"2026-07-05T09:55:26Z"},{"alias_kind":"arxiv_version","alias_value":"2412.21068v1","created_at":"2026-07-05T09:55:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.21068","created_at":"2026-07-05T09:55:26Z"},{"alias_kind":"pith_short_12","alias_value":"LWJJ5WLW5PZ7","created_at":"2026-07-05T09:55:26Z"},{"alias_kind":"pith_short_16","alias_value":"LWJJ5WLW5PZ72VQ3","created_at":"2026-07-05T09:55:26Z"},{"alias_kind":"pith_short_8","alias_value":"LWJJ5WLW","created_at":"2026-07-05T09:55:26Z"}],"graph_snapshots":[{"event_id":"sha256:32b8f9f66925cb143f8959ce106eb407ea6ba2d81198db32b58f1d7d0004cdce","target":"graph","created_at":"2026-07-05T09:55:26Z","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/2412.21068/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In modern engineering scenarios, there is often a strict upper bound on the number of algorithm iterations that can be performed within a given time limit. This raises the question of optimal algorithmic configuration for a fixed and finite iteration budget. In this work, we introduce the framework of finite horizon optimization, which focuses on optimizing the algorithm performance under a strict iteration budget $T$. We apply this framework to linear programming (LP) and propose Finite Horizon stepsize rule for the primal-dual method. The main challenge in the stepsize design is controlling ","authors_text":"Dmitry Rybin, Yushun Zhang, Zhi-Quan Luo","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2024-12-30T16:35:47Z","title":"Finite Horizon Optimization: Framework and Applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.21068","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":"sha256:619134f0a514e88cfe6a0a69e7400f42bb4224da6969f281ac1a0cae6a5141ce","target":"record","created_at":"2026-07-05T09:55:26Z","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":"46f3968205fb42ddac2e104b8d115c511d335fb9092e62df844a161b69570e54","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2024-12-30T16:35:47Z","title_canon_sha256":"0e29d89c9541f016c717e90744f7f40a6c2de5f6ab1be0884aadd59d7fc70d22"},"schema_version":"1.0","source":{"id":"2412.21068","kind":"arxiv","version":1}},"canonical_sha256":"5d929ed976ebf3fd561ba8848ae01de5ee332612afc16e030c04208a884865a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d929ed976ebf3fd561ba8848ae01de5ee332612afc16e030c04208a884865a1","first_computed_at":"2026-07-05T09:55:26.777879Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:55:26.777879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PZe5NUXRGXaBf3eQjGDp4BLkv0CLY6Vc+Tc/AmZ0eibJCIn2/6IZpPRPIMfMTZokn85ALc5zBRXDXWKQg1bfAA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:55:26.778389Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.21068","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:619134f0a514e88cfe6a0a69e7400f42bb4224da6969f281ac1a0cae6a5141ce","sha256:32b8f9f66925cb143f8959ce106eb407ea6ba2d81198db32b58f1d7d0004cdce"],"state_sha256":"94bd10589b7fe6e5d23bade323d5cc9eca25fc69ae3b91869dcc163836c40a0b"}