{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:VDV55I5WORF3ZUMJDT65UGFIXU","short_pith_number":"pith:VDV55I5W","canonical_record":{"source":{"id":"2202.09357","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2022-02-18T18:56:05Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"ca888e750ce08c5a9af7b66ac864e534f31085db138bd3a6c0585c2220cfd061","abstract_canon_sha256":"7f3e15131e3335f0eebbba73206cd9f13c2f59e3e98d40f5ee2b4b3755cc40ef"},"schema_version":"1.0"},"canonical_sha256":"a8ebdea3b6744bbcd1891cfdda18a8bd144a093b25c543edef623317ad1bbd5f","source":{"kind":"arxiv","id":"2202.09357","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.09357","created_at":"2026-07-05T05:54:11Z"},{"alias_kind":"arxiv_version","alias_value":"2202.09357v2","created_at":"2026-07-05T05:54:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.09357","created_at":"2026-07-05T05:54:11Z"},{"alias_kind":"pith_short_12","alias_value":"VDV55I5WORF3","created_at":"2026-07-05T05:54:11Z"},{"alias_kind":"pith_short_16","alias_value":"VDV55I5WORF3ZUMJ","created_at":"2026-07-05T05:54:11Z"},{"alias_kind":"pith_short_8","alias_value":"VDV55I5W","created_at":"2026-07-05T05:54:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:VDV55I5WORF3ZUMJDT65UGFIXU","target":"record","payload":{"canonical_record":{"source":{"id":"2202.09357","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2022-02-18T18:56:05Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"ca888e750ce08c5a9af7b66ac864e534f31085db138bd3a6c0585c2220cfd061","abstract_canon_sha256":"7f3e15131e3335f0eebbba73206cd9f13c2f59e3e98d40f5ee2b4b3755cc40ef"},"schema_version":"1.0"},"canonical_sha256":"a8ebdea3b6744bbcd1891cfdda18a8bd144a093b25c543edef623317ad1bbd5f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:54:11.413416Z","signature_b64":"+thb0RtK0H+TtvJR0KAIfjTEXMDu+DwYSoUDtl6cAb+5eMfcMgSquj33YWrU1XqKHS5MI2SeCq/Rldi5i+L0DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a8ebdea3b6744bbcd1891cfdda18a8bd144a093b25c543edef623317ad1bbd5f","last_reissued_at":"2026-07-05T05:54:11.412930Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:54:11.412930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2202.09357","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":"2026-07-05T05:54:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QfoxxWDyRxnv39YVQAMqhe4oW5GVfSeX+pJFbL82GzpUBtngYlAA7C7dyixaj5ekzSZJs+qKrqNimiUC8cCJBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T15:41:10.019421Z"},"content_sha256":"6d2aa9c5f39240d38732e5f313e3038ab751847af637f9d1555329f97d052fa4","schema_version":"1.0","event_id":"sha256:6d2aa9c5f39240d38732e5f313e3038ab751847af637f9d1555329f97d052fa4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:VDV55I5WORF3ZUMJDT65UGFIXU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"ProxSkip: Yes! Local Gradient Steps Provably Lead to Communication Acceleration! Finally!","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"cs.LG","authors_text":"Grigory Malinovsky, Konstantin Mishchenko, Peter Richt\\'arik, Sebastian Stich","submitted_at":"2022-02-18T18:56:05Z","abstract_excerpt":"We introduce ProxSkip -- a surprisingly simple and provably efficient method for minimizing the sum of a smooth ($f$) and an expensive nonsmooth proximable ($\\psi$) function. The canonical approach to solving such problems is via the proximal gradient descent (ProxGD) algorithm, which is based on the evaluation of the gradient of $f$ and the prox operator of $\\psi$ in each iteration. In this work we are specifically interested in the regime in which the evaluation of prox is costly relative to the evaluation of the gradient, which is the case in many applications. ProxSkip allows for the expen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.09357","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/2202.09357/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":"2026-07-05T05:54:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DIuGvoMXzo67JnYjp6V6Njx1Rw8B9DGqxj/3ZGu9SLH5Fvi98eI+Kmz6WMmd914qt0316hXgM4lonuseSkY4BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T15:41:10.020351Z"},"content_sha256":"b1caab3f8a413302ca409b44a51f986f45b199f936cacaa367e2597dee65bb3d","schema_version":"1.0","event_id":"sha256:b1caab3f8a413302ca409b44a51f986f45b199f936cacaa367e2597dee65bb3d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VDV55I5WORF3ZUMJDT65UGFIXU/bundle.json","state_url":"https://pith.science/pith/VDV55I5WORF3ZUMJDT65UGFIXU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VDV55I5WORF3ZUMJDT65UGFIXU/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":"2026-08-04T15:41:10Z","links":{"resolver":"https://pith.science/pith/VDV55I5WORF3ZUMJDT65UGFIXU","bundle":"https://pith.science/pith/VDV55I5WORF3ZUMJDT65UGFIXU/bundle.json","state":"https://pith.science/pith/VDV55I5WORF3ZUMJDT65UGFIXU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VDV55I5WORF3ZUMJDT65UGFIXU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:VDV55I5WORF3ZUMJDT65UGFIXU","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":"7f3e15131e3335f0eebbba73206cd9f13c2f59e3e98d40f5ee2b4b3755cc40ef","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2022-02-18T18:56:05Z","title_canon_sha256":"ca888e750ce08c5a9af7b66ac864e534f31085db138bd3a6c0585c2220cfd061"},"schema_version":"1.0","source":{"id":"2202.09357","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.09357","created_at":"2026-07-05T05:54:11Z"},{"alias_kind":"arxiv_version","alias_value":"2202.09357v2","created_at":"2026-07-05T05:54:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.09357","created_at":"2026-07-05T05:54:11Z"},{"alias_kind":"pith_short_12","alias_value":"VDV55I5WORF3","created_at":"2026-07-05T05:54:11Z"},{"alias_kind":"pith_short_16","alias_value":"VDV55I5WORF3ZUMJ","created_at":"2026-07-05T05:54:11Z"},{"alias_kind":"pith_short_8","alias_value":"VDV55I5W","created_at":"2026-07-05T05:54:11Z"}],"graph_snapshots":[{"event_id":"sha256:b1caab3f8a413302ca409b44a51f986f45b199f936cacaa367e2597dee65bb3d","target":"graph","created_at":"2026-07-05T05:54:11Z","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/2202.09357/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce ProxSkip -- a surprisingly simple and provably efficient method for minimizing the sum of a smooth ($f$) and an expensive nonsmooth proximable ($\\psi$) function. The canonical approach to solving such problems is via the proximal gradient descent (ProxGD) algorithm, which is based on the evaluation of the gradient of $f$ and the prox operator of $\\psi$ in each iteration. In this work we are specifically interested in the regime in which the evaluation of prox is costly relative to the evaluation of the gradient, which is the case in many applications. ProxSkip allows for the expen","authors_text":"Grigory Malinovsky, Konstantin Mishchenko, Peter Richt\\'arik, Sebastian Stich","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2022-02-18T18:56:05Z","title":"ProxSkip: Yes! Local Gradient Steps Provably Lead to Communication Acceleration! Finally!"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.09357","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":"sha256:6d2aa9c5f39240d38732e5f313e3038ab751847af637f9d1555329f97d052fa4","target":"record","created_at":"2026-07-05T05:54:11Z","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":"7f3e15131e3335f0eebbba73206cd9f13c2f59e3e98d40f5ee2b4b3755cc40ef","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2022-02-18T18:56:05Z","title_canon_sha256":"ca888e750ce08c5a9af7b66ac864e534f31085db138bd3a6c0585c2220cfd061"},"schema_version":"1.0","source":{"id":"2202.09357","kind":"arxiv","version":2}},"canonical_sha256":"a8ebdea3b6744bbcd1891cfdda18a8bd144a093b25c543edef623317ad1bbd5f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a8ebdea3b6744bbcd1891cfdda18a8bd144a093b25c543edef623317ad1bbd5f","first_computed_at":"2026-07-05T05:54:11.412930Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:54:11.412930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+thb0RtK0H+TtvJR0KAIfjTEXMDu+DwYSoUDtl6cAb+5eMfcMgSquj33YWrU1XqKHS5MI2SeCq/Rldi5i+L0DA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:54:11.413416Z","signed_message":"canonical_sha256_bytes"},"source_id":"2202.09357","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d2aa9c5f39240d38732e5f313e3038ab751847af637f9d1555329f97d052fa4","sha256:b1caab3f8a413302ca409b44a51f986f45b199f936cacaa367e2597dee65bb3d"],"state_sha256":"aa648492bf91920a128b986f504b675340f66987743b3529eee13d79ef5a0268"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KIilmacmyJhVeJQfFVvknURKW2sAvyS27GK41WK+aXnEL08vtQuF5yuIqOOZYDK15NeM+2imxK9c/fEW2m6ODg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T15:41:10.078406Z","bundle_sha256":"16c89696aa6dbb14c3762d87f83c4418acb54dc4f681274e8d0c646ec407e645"}}