{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:7WRJJTPCDRUCRSRX6HCV23T5N5","short_pith_number":"pith:7WRJJTPC","canonical_record":{"source":{"id":"2402.06412","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.OC","submitted_at":"2024-02-09T13:58:33Z","cross_cats_sorted":["cs.LG","stat.ML"],"title_canon_sha256":"9dd63b7751701585a86f48812e3434764f89bfc56e21ad852471e51265c82338","abstract_canon_sha256":"25d96bcf554e976f762fe53e9f77e8fb83707fad0d7eb82af225e0bbba5cc73b"},"schema_version":"1.0"},"canonical_sha256":"fda294cde21c6828ca37f1c55d6e7d6f53276409581a330620713ce2a842fb14","source":{"kind":"arxiv","id":"2402.06412","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.06412","created_at":"2026-07-05T09:30:07Z"},{"alias_kind":"arxiv_version","alias_value":"2402.06412v2","created_at":"2026-07-05T09:30:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.06412","created_at":"2026-07-05T09:30:07Z"},{"alias_kind":"pith_short_12","alias_value":"7WRJJTPCDRUC","created_at":"2026-07-05T09:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"7WRJJTPCDRUCRSRX","created_at":"2026-07-05T09:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"7WRJJTPC","created_at":"2026-07-05T09:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:7WRJJTPCDRUCRSRX6HCV23T5N5","target":"record","payload":{"canonical_record":{"source":{"id":"2402.06412","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.OC","submitted_at":"2024-02-09T13:58:33Z","cross_cats_sorted":["cs.LG","stat.ML"],"title_canon_sha256":"9dd63b7751701585a86f48812e3434764f89bfc56e21ad852471e51265c82338","abstract_canon_sha256":"25d96bcf554e976f762fe53e9f77e8fb83707fad0d7eb82af225e0bbba5cc73b"},"schema_version":"1.0"},"canonical_sha256":"fda294cde21c6828ca37f1c55d6e7d6f53276409581a330620713ce2a842fb14","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:30:07.454086Z","signature_b64":"laCtPo4Pn7jz2RwTUv+5tJo5222DI1eckT35x5GhY/9WYmvFxG7eIASip6N40gg+TH1+dom4l1edp/GEDyhiBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fda294cde21c6828ca37f1c55d6e7d6f53276409581a330620713ce2a842fb14","last_reissued_at":"2026-07-05T09:30:07.453639Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:30:07.453639Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2402.06412","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:30:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rZUiJc9BTG9SOdavpl07I7ef4gmHAB+aSRh7BQ/wqI5qbibfm214EvvBt2pUzL0c4AQ/pbEdFZLfsJ1Qsa8cDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T21:33:19.718370Z"},"content_sha256":"2afd0090ca68291c7d380e0ebfcee2c191b086ab406f05b42370ecb7c4a15477","schema_version":"1.0","event_id":"sha256:2afd0090ca68291c7d380e0ebfcee2c191b086ab406f05b42370ecb7c4a15477"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:7WRJJTPCDRUCRSRX6HCV23T5N5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Improving the Worst-Case Bidirectional Communication Complexity for Nonconvex Distributed Optimization under Function Similarity","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["cs.LG","stat.ML"],"primary_cat":"math.OC","authors_text":"Alexander Tyurin, Kaja Gruntkowska, Peter Richt\\'arik","submitted_at":"2024-02-09T13:58:33Z","abstract_excerpt":"Effective communication between the server and workers plays a key role in distributed optimization. In this paper, we focus on optimizing the server-to-worker communication, uncovering inefficiencies in prevalent downlink compression approaches. Considering first the pure setup where the uplink communication costs are negligible, we introduce MARINA-P, a novel method for downlink compression, employing a collection of correlated compressors. Theoretical analyses demonstrates that MARINA-P with permutation compressors can achieve a server-to-worker communication complexity improving with the n"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.06412","kind":"arxiv","version":2},"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/2402.06412/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":"2026-07-05T09:30:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oFVZaxhE7rnKVQ3B8dhIV69pRiNojAU+vxa9W+hK0s2yOYJcdjegzceUzjLPfUwxmmAR6CymFmV9dbOMl7a7Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T21:33:19.719263Z"},"content_sha256":"af36bd5e806bbb1811f64b281f3c78fb696f910d11caaf0b3057cc34052af3f1","schema_version":"1.0","event_id":"sha256:af36bd5e806bbb1811f64b281f3c78fb696f910d11caaf0b3057cc34052af3f1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7WRJJTPCDRUCRSRX6HCV23T5N5/bundle.json","state_url":"https://pith.science/pith/7WRJJTPCDRUCRSRX6HCV23T5N5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7WRJJTPCDRUCRSRX6HCV23T5N5/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":"2026-08-04T21:33:19Z","links":{"resolver":"https://pith.science/pith/7WRJJTPCDRUCRSRX6HCV23T5N5","bundle":"https://pith.science/pith/7WRJJTPCDRUCRSRX6HCV23T5N5/bundle.json","state":"https://pith.science/pith/7WRJJTPCDRUCRSRX6HCV23T5N5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7WRJJTPCDRUCRSRX6HCV23T5N5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:7WRJJTPCDRUCRSRX6HCV23T5N5","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":"25d96bcf554e976f762fe53e9f77e8fb83707fad0d7eb82af225e0bbba5cc73b","cross_cats_sorted":["cs.LG","stat.ML"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.OC","submitted_at":"2024-02-09T13:58:33Z","title_canon_sha256":"9dd63b7751701585a86f48812e3434764f89bfc56e21ad852471e51265c82338"},"schema_version":"1.0","source":{"id":"2402.06412","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.06412","created_at":"2026-07-05T09:30:07Z"},{"alias_kind":"arxiv_version","alias_value":"2402.06412v2","created_at":"2026-07-05T09:30:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.06412","created_at":"2026-07-05T09:30:07Z"},{"alias_kind":"pith_short_12","alias_value":"7WRJJTPCDRUC","created_at":"2026-07-05T09:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"7WRJJTPCDRUCRSRX","created_at":"2026-07-05T09:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"7WRJJTPC","created_at":"2026-07-05T09:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:af36bd5e806bbb1811f64b281f3c78fb696f910d11caaf0b3057cc34052af3f1","target":"graph","created_at":"2026-07-05T09:30:07Z","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/2402.06412/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Effective communication between the server and workers plays a key role in distributed optimization. In this paper, we focus on optimizing the server-to-worker communication, uncovering inefficiencies in prevalent downlink compression approaches. Considering first the pure setup where the uplink communication costs are negligible, we introduce MARINA-P, a novel method for downlink compression, employing a collection of correlated compressors. Theoretical analyses demonstrates that MARINA-P with permutation compressors can achieve a server-to-worker communication complexity improving with the n","authors_text":"Alexander Tyurin, Kaja Gruntkowska, Peter Richt\\'arik","cross_cats":["cs.LG","stat.ML"],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.OC","submitted_at":"2024-02-09T13:58:33Z","title":"Improving the Worst-Case Bidirectional Communication Complexity for Nonconvex Distributed Optimization under Function Similarity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.06412","kind":"arxiv","version":2},"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":"sha256:2afd0090ca68291c7d380e0ebfcee2c191b086ab406f05b42370ecb7c4a15477","target":"record","created_at":"2026-07-05T09:30:07Z","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":"25d96bcf554e976f762fe53e9f77e8fb83707fad0d7eb82af225e0bbba5cc73b","cross_cats_sorted":["cs.LG","stat.ML"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.OC","submitted_at":"2024-02-09T13:58:33Z","title_canon_sha256":"9dd63b7751701585a86f48812e3434764f89bfc56e21ad852471e51265c82338"},"schema_version":"1.0","source":{"id":"2402.06412","kind":"arxiv","version":2}},"canonical_sha256":"fda294cde21c6828ca37f1c55d6e7d6f53276409581a330620713ce2a842fb14","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fda294cde21c6828ca37f1c55d6e7d6f53276409581a330620713ce2a842fb14","first_computed_at":"2026-07-05T09:30:07.453639Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:30:07.453639Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"laCtPo4Pn7jz2RwTUv+5tJo5222DI1eckT35x5GhY/9WYmvFxG7eIASip6N40gg+TH1+dom4l1edp/GEDyhiBw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:30:07.454086Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.06412","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2afd0090ca68291c7d380e0ebfcee2c191b086ab406f05b42370ecb7c4a15477","sha256:af36bd5e806bbb1811f64b281f3c78fb696f910d11caaf0b3057cc34052af3f1"],"state_sha256":"c7878b944a2093bab557034163736b9b869d75d8df58e56f49e459e348570f51"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DXi/Kx/78qX0OHGXzQg62v4N8+yc9wfQLgqy5nK987k7Uo3hEmBjoRRpsqG/AmGtB+YYm2fdXCKMibM3np+ICw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T21:33:19.726635Z","bundle_sha256":"ae8b9c82d7cb6811b4567034eaa306e67743c30bb9572b53b6ffa23d4dbb8211"}}