{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:F5JZATOEFQ47NCW453CZ6CZHWY","short_pith_number":"pith:F5JZATOE","canonical_record":{"source":{"id":"2602.02899","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-02-02T23:14:37Z","cross_cats_sorted":["cs.DC"],"title_canon_sha256":"a85ab3e793a9c66b3893c170126a2cac1a5ef1d6d71e4ccd5e3fa4ea97ef5e20","abstract_canon_sha256":"579457ad67af2cc0f8cd9ff7ef8ad4f61046669204139272f763b08e4e86c3f5"},"schema_version":"1.0"},"canonical_sha256":"2f53904dc42c39f68adceec59f0b27b612214848bb0327d6e8d3dc1774773014","source":{"kind":"arxiv","id":"2602.02899","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.02899","created_at":"2026-06-24T01:15:00Z"},{"alias_kind":"arxiv_version","alias_value":"2602.02899v2","created_at":"2026-06-24T01:15:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.02899","created_at":"2026-06-24T01:15:00Z"},{"alias_kind":"pith_short_12","alias_value":"F5JZATOEFQ47","created_at":"2026-06-24T01:15:00Z"},{"alias_kind":"pith_short_16","alias_value":"F5JZATOEFQ47NCW4","created_at":"2026-06-24T01:15:00Z"},{"alias_kind":"pith_short_8","alias_value":"F5JZATOE","created_at":"2026-06-24T01:15:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:F5JZATOEFQ47NCW453CZ6CZHWY","target":"record","payload":{"canonical_record":{"source":{"id":"2602.02899","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-02-02T23:14:37Z","cross_cats_sorted":["cs.DC"],"title_canon_sha256":"a85ab3e793a9c66b3893c170126a2cac1a5ef1d6d71e4ccd5e3fa4ea97ef5e20","abstract_canon_sha256":"579457ad67af2cc0f8cd9ff7ef8ad4f61046669204139272f763b08e4e86c3f5"},"schema_version":"1.0"},"canonical_sha256":"2f53904dc42c39f68adceec59f0b27b612214848bb0327d6e8d3dc1774773014","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-24T01:15:00.805877Z","signature_b64":"yxbX1yukE2JUz5Y8ZtCvcC1HTJrWmfwVV3Vt0lwLtpuBoBGnVaKz2aMJ6x57iAxIje9B26zk7xmxYWftQTI1CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2f53904dc42c39f68adceec59f0b27b612214848bb0327d6e8d3dc1774773014","last_reissued_at":"2026-06-24T01:15:00.805271Z","signature_status":"signed_v1","first_computed_at":"2026-06-24T01:15:00.805271Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2602.02899","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":"2026-06-24T01:15:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A0sxZrDVIi8nQzs9owQrcr9HBJ8HMrmt0Uqf4RGUrdiX9oaDjS1X8HipVAvRVfhKhXbb6rFpV3B/8LIxw1DvCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T14:54:54.922978Z"},"content_sha256":"0b3aa4cfe4662a30c5bc7a3e3f1dbe79ed87a9beae47421b179d4de3a9e4e371","schema_version":"1.0","event_id":"sha256:0b3aa4cfe4662a30c5bc7a3e3f1dbe79ed87a9beae47421b179d4de3a9e4e371"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:F5JZATOEFQ47NCW453CZ6CZHWY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Decentralized SGD with Controlled Disagreement Finds Flatter Minima","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.DC"],"primary_cat":"cs.LG","authors_text":"Mikael Johansson, Zesen Wang","submitted_at":"2026-02-02T23:14:37Z","abstract_excerpt":"Decentralized training is often regarded as inferior to centralized training because the consensus errors between workers are thought to undermine convergence and generalization. This work challenges this view by introducing decentralized SGD with Adaptive Consensus (DSGD-AC), which uses a time-dependent scaling mechanism to maintain consensus errors throughout the training. We show that adaptive consensus changes the stationary variance of disagreement modes by balancing two effects: it preserves consensus-error magnitude through weaker graph damping while still allowing curvature-dependent d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.02899","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/2602.02899/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":"2026-06-24T01:15:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BP70nKko+JZzwtwV2Y8OQtbaw2jdsbrMeZLEttwNnP1qpaI9WN8//P8ByCUx8qJF7V3CA2fPL2ogkdw687jNCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T14:54:54.923519Z"},"content_sha256":"25972352d5730e6aa8935f3a999515b9e87f25b20f0264878c1320574a7cc2e8","schema_version":"1.0","event_id":"sha256:25972352d5730e6aa8935f3a999515b9e87f25b20f0264878c1320574a7cc2e8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F5JZATOEFQ47NCW453CZ6CZHWY/bundle.json","state_url":"https://pith.science/pith/F5JZATOEFQ47NCW453CZ6CZHWY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F5JZATOEFQ47NCW453CZ6CZHWY/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":"2026-08-15T14:54:54Z","links":{"resolver":"https://pith.science/pith/F5JZATOEFQ47NCW453CZ6CZHWY","bundle":"https://pith.science/pith/F5JZATOEFQ47NCW453CZ6CZHWY/bundle.json","state":"https://pith.science/pith/F5JZATOEFQ47NCW453CZ6CZHWY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F5JZATOEFQ47NCW453CZ6CZHWY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:F5JZATOEFQ47NCW453CZ6CZHWY","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":"579457ad67af2cc0f8cd9ff7ef8ad4f61046669204139272f763b08e4e86c3f5","cross_cats_sorted":["cs.DC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-02-02T23:14:37Z","title_canon_sha256":"a85ab3e793a9c66b3893c170126a2cac1a5ef1d6d71e4ccd5e3fa4ea97ef5e20"},"schema_version":"1.0","source":{"id":"2602.02899","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.02899","created_at":"2026-06-24T01:15:00Z"},{"alias_kind":"arxiv_version","alias_value":"2602.02899v2","created_at":"2026-06-24T01:15:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.02899","created_at":"2026-06-24T01:15:00Z"},{"alias_kind":"pith_short_12","alias_value":"F5JZATOEFQ47","created_at":"2026-06-24T01:15:00Z"},{"alias_kind":"pith_short_16","alias_value":"F5JZATOEFQ47NCW4","created_at":"2026-06-24T01:15:00Z"},{"alias_kind":"pith_short_8","alias_value":"F5JZATOE","created_at":"2026-06-24T01:15:00Z"}],"graph_snapshots":[{"event_id":"sha256:25972352d5730e6aa8935f3a999515b9e87f25b20f0264878c1320574a7cc2e8","target":"graph","created_at":"2026-06-24T01:15:00Z","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/2602.02899/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Decentralized training is often regarded as inferior to centralized training because the consensus errors between workers are thought to undermine convergence and generalization. This work challenges this view by introducing decentralized SGD with Adaptive Consensus (DSGD-AC), which uses a time-dependent scaling mechanism to maintain consensus errors throughout the training. We show that adaptive consensus changes the stationary variance of disagreement modes by balancing two effects: it preserves consensus-error magnitude through weaker graph damping while still allowing curvature-dependent d","authors_text":"Mikael Johansson, Zesen Wang","cross_cats":["cs.DC"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-02-02T23:14:37Z","title":"Decentralized SGD with Controlled Disagreement Finds Flatter Minima"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.02899","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":"sha256:0b3aa4cfe4662a30c5bc7a3e3f1dbe79ed87a9beae47421b179d4de3a9e4e371","target":"record","created_at":"2026-06-24T01:15:00Z","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":"579457ad67af2cc0f8cd9ff7ef8ad4f61046669204139272f763b08e4e86c3f5","cross_cats_sorted":["cs.DC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-02-02T23:14:37Z","title_canon_sha256":"a85ab3e793a9c66b3893c170126a2cac1a5ef1d6d71e4ccd5e3fa4ea97ef5e20"},"schema_version":"1.0","source":{"id":"2602.02899","kind":"arxiv","version":2}},"canonical_sha256":"2f53904dc42c39f68adceec59f0b27b612214848bb0327d6e8d3dc1774773014","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f53904dc42c39f68adceec59f0b27b612214848bb0327d6e8d3dc1774773014","first_computed_at":"2026-06-24T01:15:00.805271Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-24T01:15:00.805271Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yxbX1yukE2JUz5Y8ZtCvcC1HTJrWmfwVV3Vt0lwLtpuBoBGnVaKz2aMJ6x57iAxIje9B26zk7xmxYWftQTI1CQ==","signature_status":"signed_v1","signed_at":"2026-06-24T01:15:00.805877Z","signed_message":"canonical_sha256_bytes"},"source_id":"2602.02899","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b3aa4cfe4662a30c5bc7a3e3f1dbe79ed87a9beae47421b179d4de3a9e4e371","sha256:25972352d5730e6aa8935f3a999515b9e87f25b20f0264878c1320574a7cc2e8"],"state_sha256":"84c8cc26dd282f4818badd0b2e1c389adfa5d2dcc10862f0b4a76921f905c07b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KXGChzxqG9e+A/JB4t1yfe1PWv9Ao5/lytbeMr9t8x4kJKQN/1YPymVpfYrCtgitjJg3z5YlaLaidfvo5anyAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T14:54:54.928799Z","bundle_sha256":"9d22c43d5633e06c2aa5c813a3b8e0ee9b1b8de449ca12211e273da5ac631db9"}}