{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:23UDGR3UO27RBAXLMHIFIEXFM5","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":"ebd35fc0c2c1effa2bf85eb3cd5c86429e04d49bacb5b5c8ad86cced436161f8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-04-02T16:57:39Z","title_canon_sha256":"5a1d4fb4c7eae22f12323dc3c37b02c8bc82270920f36a46e46fb650e2b48585"},"schema_version":"1.0","source":{"id":"2504.01898","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.01898","created_at":"2026-07-05T10:43:31Z"},{"alias_kind":"arxiv_version","alias_value":"2504.01898v1","created_at":"2026-07-05T10:43:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.01898","created_at":"2026-07-05T10:43:31Z"},{"alias_kind":"pith_short_12","alias_value":"23UDGR3UO27R","created_at":"2026-07-05T10:43:31Z"},{"alias_kind":"pith_short_16","alias_value":"23UDGR3UO27RBAXL","created_at":"2026-07-05T10:43:31Z"},{"alias_kind":"pith_short_8","alias_value":"23UDGR3U","created_at":"2026-07-05T10:43:31Z"}],"graph_snapshots":[{"event_id":"sha256:77fd52a3b9b8cf5935ca16b8115db297b498287faed8e2fec3eef9404539f1b6","target":"graph","created_at":"2026-07-05T10:43:31Z","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/2504.01898/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We provide a general convergence theorem of an idealized stochastic Polyak step size called SPS$^*$. Besides convexity, we only assume a local expected gradient bound, that includes locally smooth and locally Lipschitz losses as special cases. We refer to SPS$^*$ as idealized because it requires access to the loss for every training batch evaluated at a solution. It is also ideal, in that it achieves the optimal lower bound for globally Lipschitz function, and is the first Polyak step size to have an $O(1/\\sqrt{t})$ anytime convergence in the smooth setting. We show how to combine SPS$^*$ with","authors_text":"Dimitris Oikonomou, Fabian Schaipp, Guillaume Garrigos, Konstantin Mishchenko, Nicolas Loizou, Robert M. Gower","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-04-02T16:57:39Z","title":"Analysis of an Idealized Stochastic Polyak Method and its Application to Black-Box Model Distillation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.01898","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":"sha256:3b544274b2ba634b8dd1380caa1fcb1b03a5c74f7dc7b9913e5c8b4f1e7cf4e4","target":"record","created_at":"2026-07-05T10:43:31Z","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":"ebd35fc0c2c1effa2bf85eb3cd5c86429e04d49bacb5b5c8ad86cced436161f8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-04-02T16:57:39Z","title_canon_sha256":"5a1d4fb4c7eae22f12323dc3c37b02c8bc82270920f36a46e46fb650e2b48585"},"schema_version":"1.0","source":{"id":"2504.01898","kind":"arxiv","version":1}},"canonical_sha256":"d6e833477476bf1082eb61d05412e567425599fa4b3b1e284fb9d2dae246fa85","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6e833477476bf1082eb61d05412e567425599fa4b3b1e284fb9d2dae246fa85","first_computed_at":"2026-07-05T10:43:31.492549Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:43:31.492549Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HxJ8gv2Y5Yc3WYZkbzXUPzcMuN8L/aX7aj6PEXJEf5yzBeSBoLJPCbokc6IvqY83+kx5VRQZc2iyBAMKPyydAw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:43:31.493009Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.01898","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b544274b2ba634b8dd1380caa1fcb1b03a5c74f7dc7b9913e5c8b4f1e7cf4e4","sha256:77fd52a3b9b8cf5935ca16b8115db297b498287faed8e2fec3eef9404539f1b6"],"state_sha256":"a8a2575460a3234362e5000fce072d53396d02eeb3cb49783eba1775ae246834"}