{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:V2KXUHSDBVZOFAKATKWADGYMQ2","short_pith_number":"pith:V2KXUHSD","canonical_record":{"source":{"id":"2302.06570","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2023-02-13T18:13:36Z","cross_cats_sorted":["cs.LG","math.OC"],"title_canon_sha256":"a45c11cd25451307716f21bc42a6767fc80d0c1ac6d127d9a0764de2e9a20247","abstract_canon_sha256":"4f008de31d1e9eefa8ceb4c0f008d580345433b2bc764d63407753a8e10d711b"},"schema_version":"1.0"},"canonical_sha256":"ae957a1e430d72e281409aac019b0c86b3af89e1e0771cb7645c6f652f5be4ef","source":{"kind":"arxiv","id":"2302.06570","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.06570","created_at":"2026-07-05T05:41:12Z"},{"alias_kind":"arxiv_version","alias_value":"2302.06570v1","created_at":"2026-07-05T05:41:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.06570","created_at":"2026-07-05T05:41:12Z"},{"alias_kind":"pith_short_12","alias_value":"V2KXUHSDBVZO","created_at":"2026-07-05T05:41:12Z"},{"alias_kind":"pith_short_16","alias_value":"V2KXUHSDBVZOFAKA","created_at":"2026-07-05T05:41:12Z"},{"alias_kind":"pith_short_8","alias_value":"V2KXUHSD","created_at":"2026-07-05T05:41:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:V2KXUHSDBVZOFAKATKWADGYMQ2","target":"record","payload":{"canonical_record":{"source":{"id":"2302.06570","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2023-02-13T18:13:36Z","cross_cats_sorted":["cs.LG","math.OC"],"title_canon_sha256":"a45c11cd25451307716f21bc42a6767fc80d0c1ac6d127d9a0764de2e9a20247","abstract_canon_sha256":"4f008de31d1e9eefa8ceb4c0f008d580345433b2bc764d63407753a8e10d711b"},"schema_version":"1.0"},"canonical_sha256":"ae957a1e430d72e281409aac019b0c86b3af89e1e0771cb7645c6f652f5be4ef","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:41:12.520093Z","signature_b64":"V2tMHD/yNe9z2J1BrUbbasU+dxVepdJnXhhE3bSgIvgVqYReSJI+4I3n6KGLl619KH3lmzCgf/BuWic4YikCCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ae957a1e430d72e281409aac019b0c86b3af89e1e0771cb7645c6f652f5be4ef","last_reissued_at":"2026-07-05T05:41:12.519654Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:41:12.519654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2302.06570","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:41:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ztv5URc6x/do1MiZi4j2c/jDBG0EEiplFhBN7NpZ0aJJ2n7z4VuzMzdMgGbTew+MwJGUTqKpBntmlL5B/ZtcBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T10:05:49.043156Z"},"content_sha256":"1ffb8779315f31646a0919b4d436d3da4dcd7e77896928ba30dae789d86422f6","schema_version":"1.0","event_id":"sha256:1ffb8779315f31646a0919b4d436d3da4dcd7e77896928ba30dae789d86422f6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:V2KXUHSDBVZOFAKATKWADGYMQ2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Beyond Uniform Smoothness: A Stopped Analysis of Adaptive SGD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","math.OC"],"primary_cat":"stat.ML","authors_text":"Constantine Caramanis, Litu Rout, Matthew Faw, Sanjay Shakkottai","submitted_at":"2023-02-13T18:13:36Z","abstract_excerpt":"This work considers the problem of finding a first-order stationary point of a non-convex function with potentially unbounded smoothness constant using a stochastic gradient oracle. We focus on the class of $(L_0,L_1)$-smooth functions proposed by Zhang et al. (ICLR'20). Empirical evidence suggests that these functions more closely captures practical machine learning problems as compared to the pervasive $L_0$-smoothness. This class is rich enough to include highly non-smooth functions, such as $\\exp(L_1 x)$ which is $(0,\\mathcal{O}(L_1))$-smooth. Despite the richness, an emerging line of work"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.06570","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2302.06570/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:41:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T0Eqt+fHwIwrWaYo8nEF6GTiJonkK61yTDrc9AJwNJFaOuM+mhO7mKP5hE7AgVIAGOV2TCE9HQWU072EUIsJAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T10:05:49.044070Z"},"content_sha256":"54f50bc6b0b2a9c7d462b43e6ceedd5d5aa8f17029b91f72b220913d2f74e5e8","schema_version":"1.0","event_id":"sha256:54f50bc6b0b2a9c7d462b43e6ceedd5d5aa8f17029b91f72b220913d2f74e5e8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V2KXUHSDBVZOFAKATKWADGYMQ2/bundle.json","state_url":"https://pith.science/pith/V2KXUHSDBVZOFAKATKWADGYMQ2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V2KXUHSDBVZOFAKATKWADGYMQ2/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-14T10:05:49Z","links":{"resolver":"https://pith.science/pith/V2KXUHSDBVZOFAKATKWADGYMQ2","bundle":"https://pith.science/pith/V2KXUHSDBVZOFAKATKWADGYMQ2/bundle.json","state":"https://pith.science/pith/V2KXUHSDBVZOFAKATKWADGYMQ2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V2KXUHSDBVZOFAKATKWADGYMQ2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:V2KXUHSDBVZOFAKATKWADGYMQ2","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":"4f008de31d1e9eefa8ceb4c0f008d580345433b2bc764d63407753a8e10d711b","cross_cats_sorted":["cs.LG","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2023-02-13T18:13:36Z","title_canon_sha256":"a45c11cd25451307716f21bc42a6767fc80d0c1ac6d127d9a0764de2e9a20247"},"schema_version":"1.0","source":{"id":"2302.06570","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.06570","created_at":"2026-07-05T05:41:12Z"},{"alias_kind":"arxiv_version","alias_value":"2302.06570v1","created_at":"2026-07-05T05:41:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.06570","created_at":"2026-07-05T05:41:12Z"},{"alias_kind":"pith_short_12","alias_value":"V2KXUHSDBVZO","created_at":"2026-07-05T05:41:12Z"},{"alias_kind":"pith_short_16","alias_value":"V2KXUHSDBVZOFAKA","created_at":"2026-07-05T05:41:12Z"},{"alias_kind":"pith_short_8","alias_value":"V2KXUHSD","created_at":"2026-07-05T05:41:12Z"}],"graph_snapshots":[{"event_id":"sha256:54f50bc6b0b2a9c7d462b43e6ceedd5d5aa8f17029b91f72b220913d2f74e5e8","target":"graph","created_at":"2026-07-05T05:41:12Z","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/2302.06570/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work considers the problem of finding a first-order stationary point of a non-convex function with potentially unbounded smoothness constant using a stochastic gradient oracle. We focus on the class of $(L_0,L_1)$-smooth functions proposed by Zhang et al. (ICLR'20). Empirical evidence suggests that these functions more closely captures practical machine learning problems as compared to the pervasive $L_0$-smoothness. This class is rich enough to include highly non-smooth functions, such as $\\exp(L_1 x)$ which is $(0,\\mathcal{O}(L_1))$-smooth. Despite the richness, an emerging line of work","authors_text":"Constantine Caramanis, Litu Rout, Matthew Faw, Sanjay Shakkottai","cross_cats":["cs.LG","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2023-02-13T18:13:36Z","title":"Beyond Uniform Smoothness: A Stopped Analysis of Adaptive SGD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.06570","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":"sha256:1ffb8779315f31646a0919b4d436d3da4dcd7e77896928ba30dae789d86422f6","target":"record","created_at":"2026-07-05T05:41:12Z","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":"4f008de31d1e9eefa8ceb4c0f008d580345433b2bc764d63407753a8e10d711b","cross_cats_sorted":["cs.LG","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2023-02-13T18:13:36Z","title_canon_sha256":"a45c11cd25451307716f21bc42a6767fc80d0c1ac6d127d9a0764de2e9a20247"},"schema_version":"1.0","source":{"id":"2302.06570","kind":"arxiv","version":1}},"canonical_sha256":"ae957a1e430d72e281409aac019b0c86b3af89e1e0771cb7645c6f652f5be4ef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae957a1e430d72e281409aac019b0c86b3af89e1e0771cb7645c6f652f5be4ef","first_computed_at":"2026-07-05T05:41:12.519654Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:41:12.519654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V2tMHD/yNe9z2J1BrUbbasU+dxVepdJnXhhE3bSgIvgVqYReSJI+4I3n6KGLl619KH3lmzCgf/BuWic4YikCCA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:41:12.520093Z","signed_message":"canonical_sha256_bytes"},"source_id":"2302.06570","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ffb8779315f31646a0919b4d436d3da4dcd7e77896928ba30dae789d86422f6","sha256:54f50bc6b0b2a9c7d462b43e6ceedd5d5aa8f17029b91f72b220913d2f74e5e8"],"state_sha256":"7f04326c8818a3c6f352f2b922a60adcc61a88ad30d1e3a75c1a48d4a2ed4ad7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s5ixq9/MADXGKPiplYqedSeK7wR8BrvdB6NcXX+VWpthHqQL3ZSjj2tipCEudL/ljWtnYHO+wV7M6bo85Jb2CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T10:05:49.050677Z","bundle_sha256":"4f959a46e3a6898207e824233ef2b60154efa0bffc686231b14f6eddf711cfcb"}}