{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:5X7JKIEBWNKCUUH4L6R2ESHUXO","short_pith_number":"pith:5X7JKIEB","canonical_record":{"source":{"id":"2309.01795","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-09-04T20:22:57Z","cross_cats_sorted":["cs.DC","math.OC"],"title_canon_sha256":"6b2d6ac794083a8305126ec60770f18dcbd1d5c4b94a1503b60b3cfe094d28a7","abstract_canon_sha256":"fe9518ba58fd0dafcfcd8cc0f355af6fd5e1cbf8333bfa2d67fda555a2ce010f"},"schema_version":"1.0"},"canonical_sha256":"edfe952081b3542a50fc5fa3a248f4bbab6ba615ff2ac604aedd5cd2b8b7e212","source":{"kind":"arxiv","id":"2309.01795","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.01795","created_at":"2026-07-05T06:47:43Z"},{"alias_kind":"arxiv_version","alias_value":"2309.01795v1","created_at":"2026-07-05T06:47:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.01795","created_at":"2026-07-05T06:47:43Z"},{"alias_kind":"pith_short_12","alias_value":"5X7JKIEBWNKC","created_at":"2026-07-05T06:47:43Z"},{"alias_kind":"pith_short_16","alias_value":"5X7JKIEBWNKCUUH4","created_at":"2026-07-05T06:47:43Z"},{"alias_kind":"pith_short_8","alias_value":"5X7JKIEB","created_at":"2026-07-05T06:47:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:5X7JKIEBWNKCUUH4L6R2ESHUXO","target":"record","payload":{"canonical_record":{"source":{"id":"2309.01795","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-09-04T20:22:57Z","cross_cats_sorted":["cs.DC","math.OC"],"title_canon_sha256":"6b2d6ac794083a8305126ec60770f18dcbd1d5c4b94a1503b60b3cfe094d28a7","abstract_canon_sha256":"fe9518ba58fd0dafcfcd8cc0f355af6fd5e1cbf8333bfa2d67fda555a2ce010f"},"schema_version":"1.0"},"canonical_sha256":"edfe952081b3542a50fc5fa3a248f4bbab6ba615ff2ac604aedd5cd2b8b7e212","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:47:43.344678Z","signature_b64":"raj36MDVVZbijzdhJM8sFF+u7ZwzsExoS3hHmW+j6XhR5+5t2mvvSOUITwPonxlhcafT+rQ73KhNcWemI1SBCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"edfe952081b3542a50fc5fa3a248f4bbab6ba615ff2ac604aedd5cd2b8b7e212","last_reissued_at":"2026-07-05T06:47:43.344263Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:47:43.344263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2309.01795","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":"2026-07-05T06:47:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c7tlPbMzTIFm9o5+S2k2tcncz8/DZEarPggCzVYOWK9cY4g2t87ATtlQi94izi3xo8oI0EU8i28Wqf6T8lhNCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T08:22:57.448331Z"},"content_sha256":"e6e9112a806a95099191c55984bcf6827a00be0499f70bcacddc41bfbcf0e1ff","schema_version":"1.0","event_id":"sha256:e6e9112a806a95099191c55984bcf6827a00be0499f70bcacddc41bfbcf0e1ff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:5X7JKIEBWNKCUUH4L6R2ESHUXO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Composite federated learning with heterogeneous data","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.DC","math.OC"],"primary_cat":"cs.LG","authors_text":"Jiang Hu, Jiaojiao Zhang, Mikael Johansson","submitted_at":"2023-09-04T20:22:57Z","abstract_excerpt":"We propose a novel algorithm for solving the composite Federated Learning (FL) problem. This algorithm manages non-smooth regularization by strategically decoupling the proximal operator and communication, and addresses client drift without any assumptions about data similarity. Moreover, each worker uses local updates to reduce the communication frequency with the server and transmits only a $d$-dimensional vector per communication round. We prove that our algorithm converges linearly to a neighborhood of the optimal solution and demonstrate the superiority of our algorithm over state-of-the-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.01795","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/2309.01795/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":"2026-07-05T06:47:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xpZ9gQcZiUoK95pTpBZw4zvRejb/2U+d33Nfg5zZyZoYBbta9qr6TLad5QIv0Lm4C5bBQYIW1DhA5PFa8OdwAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T08:22:57.448868Z"},"content_sha256":"3e32606b80069d00a4f031df1f00fcc2f39fafbf63d51e43f065ac1e71ac4a23","schema_version":"1.0","event_id":"sha256:3e32606b80069d00a4f031df1f00fcc2f39fafbf63d51e43f065ac1e71ac4a23"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5X7JKIEBWNKCUUH4L6R2ESHUXO/bundle.json","state_url":"https://pith.science/pith/5X7JKIEBWNKCUUH4L6R2ESHUXO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5X7JKIEBWNKCUUH4L6R2ESHUXO/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":"2026-08-10T08:22:57Z","links":{"resolver":"https://pith.science/pith/5X7JKIEBWNKCUUH4L6R2ESHUXO","bundle":"https://pith.science/pith/5X7JKIEBWNKCUUH4L6R2ESHUXO/bundle.json","state":"https://pith.science/pith/5X7JKIEBWNKCUUH4L6R2ESHUXO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5X7JKIEBWNKCUUH4L6R2ESHUXO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:5X7JKIEBWNKCUUH4L6R2ESHUXO","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":"fe9518ba58fd0dafcfcd8cc0f355af6fd5e1cbf8333bfa2d67fda555a2ce010f","cross_cats_sorted":["cs.DC","math.OC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-09-04T20:22:57Z","title_canon_sha256":"6b2d6ac794083a8305126ec60770f18dcbd1d5c4b94a1503b60b3cfe094d28a7"},"schema_version":"1.0","source":{"id":"2309.01795","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.01795","created_at":"2026-07-05T06:47:43Z"},{"alias_kind":"arxiv_version","alias_value":"2309.01795v1","created_at":"2026-07-05T06:47:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.01795","created_at":"2026-07-05T06:47:43Z"},{"alias_kind":"pith_short_12","alias_value":"5X7JKIEBWNKC","created_at":"2026-07-05T06:47:43Z"},{"alias_kind":"pith_short_16","alias_value":"5X7JKIEBWNKCUUH4","created_at":"2026-07-05T06:47:43Z"},{"alias_kind":"pith_short_8","alias_value":"5X7JKIEB","created_at":"2026-07-05T06:47:43Z"}],"graph_snapshots":[{"event_id":"sha256:3e32606b80069d00a4f031df1f00fcc2f39fafbf63d51e43f065ac1e71ac4a23","target":"graph","created_at":"2026-07-05T06:47:43Z","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/2309.01795/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a novel algorithm for solving the composite Federated Learning (FL) problem. This algorithm manages non-smooth regularization by strategically decoupling the proximal operator and communication, and addresses client drift without any assumptions about data similarity. Moreover, each worker uses local updates to reduce the communication frequency with the server and transmits only a $d$-dimensional vector per communication round. We prove that our algorithm converges linearly to a neighborhood of the optimal solution and demonstrate the superiority of our algorithm over state-of-the-","authors_text":"Jiang Hu, Jiaojiao Zhang, Mikael Johansson","cross_cats":["cs.DC","math.OC"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-09-04T20:22:57Z","title":"Composite federated learning with heterogeneous data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.01795","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:e6e9112a806a95099191c55984bcf6827a00be0499f70bcacddc41bfbcf0e1ff","target":"record","created_at":"2026-07-05T06:47:43Z","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":"fe9518ba58fd0dafcfcd8cc0f355af6fd5e1cbf8333bfa2d67fda555a2ce010f","cross_cats_sorted":["cs.DC","math.OC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-09-04T20:22:57Z","title_canon_sha256":"6b2d6ac794083a8305126ec60770f18dcbd1d5c4b94a1503b60b3cfe094d28a7"},"schema_version":"1.0","source":{"id":"2309.01795","kind":"arxiv","version":1}},"canonical_sha256":"edfe952081b3542a50fc5fa3a248f4bbab6ba615ff2ac604aedd5cd2b8b7e212","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"edfe952081b3542a50fc5fa3a248f4bbab6ba615ff2ac604aedd5cd2b8b7e212","first_computed_at":"2026-07-05T06:47:43.344263Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:47:43.344263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"raj36MDVVZbijzdhJM8sFF+u7ZwzsExoS3hHmW+j6XhR5+5t2mvvSOUITwPonxlhcafT+rQ73KhNcWemI1SBCw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:47:43.344678Z","signed_message":"canonical_sha256_bytes"},"source_id":"2309.01795","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e6e9112a806a95099191c55984bcf6827a00be0499f70bcacddc41bfbcf0e1ff","sha256:3e32606b80069d00a4f031df1f00fcc2f39fafbf63d51e43f065ac1e71ac4a23"],"state_sha256":"23c19f742d512ee18ecb7526e3e562626c3daf377b507d0579b1f175ad4dac12"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"73GqbcksnQlMIQlvnY9P8qGRFN5l1wsEe5OeKctyyzO2B+lKJGVTSlf7PNwaB5HvU72JFIIMqoZ0SOEKQ2MqBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T08:22:57.452656Z","bundle_sha256":"a714f6874802070d61b23fe466975b1a542f9565a7009051d4ec4cc5df17e259"}}