{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:JN3I5R6C57NDZQYN5ZNC56ZSGE","short_pith_number":"pith:JN3I5R6C","canonical_record":{"source":{"id":"1305.4081","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-05-17T13:53:17Z","cross_cats_sorted":["cs.NA","math.OC"],"title_canon_sha256":"d93aa38da2f154a9b81a36867b8db4b1533dea160363dd4e40cda3765498e48e","abstract_canon_sha256":"ecf41a2a1674d5d4701291601f0659d469f3982200ede390350fdeac3b63c45e"},"schema_version":"1.0"},"canonical_sha256":"4b768ec7c2efda3cc30dee5a2efb32310940273413b3d2f7d8ce2267350b39f1","source":{"kind":"arxiv","id":"1305.4081","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.4081","created_at":"2026-05-18T03:25:26Z"},{"alias_kind":"arxiv_version","alias_value":"1305.4081v1","created_at":"2026-05-18T03:25:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4081","created_at":"2026-05-18T03:25:26Z"},{"alias_kind":"pith_short_12","alias_value":"JN3I5R6C57ND","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JN3I5R6C57NDZQYN","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JN3I5R6C","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:JN3I5R6C57NDZQYN5ZNC56ZSGE","target":"record","payload":{"canonical_record":{"source":{"id":"1305.4081","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-05-17T13:53:17Z","cross_cats_sorted":["cs.NA","math.OC"],"title_canon_sha256":"d93aa38da2f154a9b81a36867b8db4b1533dea160363dd4e40cda3765498e48e","abstract_canon_sha256":"ecf41a2a1674d5d4701291601f0659d469f3982200ede390350fdeac3b63c45e"},"schema_version":"1.0"},"canonical_sha256":"4b768ec7c2efda3cc30dee5a2efb32310940273413b3d2f7d8ce2267350b39f1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:25:26.349493Z","signature_b64":"857WGUhQ9kDTmblMUYnC3yE8UxK1urjpsRI1WU8Y9h9UZF1tksI4LVI/3R4xNGIVZH4TumxjUiaHhmFGqt4OCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4b768ec7c2efda3cc30dee5a2efb32310940273413b3d2f7d8ce2267350b39f1","last_reissued_at":"2026-05-18T03:25:26.348768Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:25:26.348768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.4081","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":"2026-05-18T03:25:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tkaQQRyc3uK7sFfIAzi9cBq/lLmFRiZYXoVVrlyqw5xM/qtO2DX0T4yaGT0C2jIJ4AqtANC9tZeQoPD4PCHfAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T10:40:15.745778Z"},"content_sha256":"22573707f84b73bad5469b8e3f30c2b556f5eebe468c692ef692164b2a01158c","schema_version":"1.0","event_id":"sha256:22573707f84b73bad5469b8e3f30c2b556f5eebe468c692ef692164b2a01158c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:JN3I5R6C57NDZQYN5ZNC56ZSGE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Conditions for Convergence in Regularized Machine Learning Objectives","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.OC"],"primary_cat":"cs.LG","authors_text":"Patrick Hop, Xinghao Pan","submitted_at":"2013-05-17T13:53:17Z","abstract_excerpt":"Analysis of the convergence rates of modern convex optimization algorithms can be achived through binary means: analysis of emperical convergence, or analysis of theoretical convergence. These two pathways of capturing information diverge in efficacy when moving to the world of distributed computing, due to the introduction of non-intuitive, non-linear slowdowns associated with broadcasting, and in some cases, gathering operations. Despite these nuances in the rates of convergence, we can still show the existence of convergence, and lower bounds for the rates. This paper will serve as a helpfu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4081","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":""},"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":"2026-05-18T03:25:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"47NQqf34Pb2pi1nKzCnewmHljhkQpEZD3/ksftX0taO6ot1VnnSV7EUYBFxPQ3I3d4tBioizkJdWX9zdZeSDAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T10:40:15.746543Z"},"content_sha256":"aa31a2f60365bb3271e0a70c5d478e7d28b6c60c3e22ed92c442a36add741209","schema_version":"1.0","event_id":"sha256:aa31a2f60365bb3271e0a70c5d478e7d28b6c60c3e22ed92c442a36add741209"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JN3I5R6C57NDZQYN5ZNC56ZSGE/bundle.json","state_url":"https://pith.science/pith/JN3I5R6C57NDZQYN5ZNC56ZSGE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JN3I5R6C57NDZQYN5ZNC56ZSGE/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":"2026-06-11T10:40:15Z","links":{"resolver":"https://pith.science/pith/JN3I5R6C57NDZQYN5ZNC56ZSGE","bundle":"https://pith.science/pith/JN3I5R6C57NDZQYN5ZNC56ZSGE/bundle.json","state":"https://pith.science/pith/JN3I5R6C57NDZQYN5ZNC56ZSGE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JN3I5R6C57NDZQYN5ZNC56ZSGE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:JN3I5R6C57NDZQYN5ZNC56ZSGE","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":"ecf41a2a1674d5d4701291601f0659d469f3982200ede390350fdeac3b63c45e","cross_cats_sorted":["cs.NA","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-05-17T13:53:17Z","title_canon_sha256":"d93aa38da2f154a9b81a36867b8db4b1533dea160363dd4e40cda3765498e48e"},"schema_version":"1.0","source":{"id":"1305.4081","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.4081","created_at":"2026-05-18T03:25:26Z"},{"alias_kind":"arxiv_version","alias_value":"1305.4081v1","created_at":"2026-05-18T03:25:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4081","created_at":"2026-05-18T03:25:26Z"},{"alias_kind":"pith_short_12","alias_value":"JN3I5R6C57ND","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JN3I5R6C57NDZQYN","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JN3I5R6C","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:aa31a2f60365bb3271e0a70c5d478e7d28b6c60c3e22ed92c442a36add741209","target":"graph","created_at":"2026-05-18T03:25:26Z","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"},"paper":{"abstract_excerpt":"Analysis of the convergence rates of modern convex optimization algorithms can be achived through binary means: analysis of emperical convergence, or analysis of theoretical convergence. These two pathways of capturing information diverge in efficacy when moving to the world of distributed computing, due to the introduction of non-intuitive, non-linear slowdowns associated with broadcasting, and in some cases, gathering operations. Despite these nuances in the rates of convergence, we can still show the existence of convergence, and lower bounds for the rates. This paper will serve as a helpfu","authors_text":"Patrick Hop, Xinghao Pan","cross_cats":["cs.NA","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-05-17T13:53:17Z","title":"Conditions for Convergence in Regularized Machine Learning Objectives"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4081","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":"sha256:22573707f84b73bad5469b8e3f30c2b556f5eebe468c692ef692164b2a01158c","target":"record","created_at":"2026-05-18T03:25:26Z","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":"ecf41a2a1674d5d4701291601f0659d469f3982200ede390350fdeac3b63c45e","cross_cats_sorted":["cs.NA","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-05-17T13:53:17Z","title_canon_sha256":"d93aa38da2f154a9b81a36867b8db4b1533dea160363dd4e40cda3765498e48e"},"schema_version":"1.0","source":{"id":"1305.4081","kind":"arxiv","version":1}},"canonical_sha256":"4b768ec7c2efda3cc30dee5a2efb32310940273413b3d2f7d8ce2267350b39f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4b768ec7c2efda3cc30dee5a2efb32310940273413b3d2f7d8ce2267350b39f1","first_computed_at":"2026-05-18T03:25:26.348768Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:26.348768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"857WGUhQ9kDTmblMUYnC3yE8UxK1urjpsRI1WU8Y9h9UZF1tksI4LVI/3R4xNGIVZH4TumxjUiaHhmFGqt4OCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:26.349493Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.4081","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:22573707f84b73bad5469b8e3f30c2b556f5eebe468c692ef692164b2a01158c","sha256:aa31a2f60365bb3271e0a70c5d478e7d28b6c60c3e22ed92c442a36add741209"],"state_sha256":"747ce190883c71200ee973a2b0289d73abd129459e0e130ce4aab018083771da"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mfDZwaQdwL5TF1dDJbN28esIHZBToYCmHuoA1OTBUC7wAa7cylbMqqoTXM/B55Kh+UDZcmrcdoyTy6j/inxhDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T10:40:15.750595Z","bundle_sha256":"000fda1236dc0bf9ccf051fd11af08706b46c540b53cd78684aaaf7c9449f28f"}}