{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:WWUBKIQ2UOHIB7ZF27Q5Y7UIII","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":"82e93fd806ca70256227e0dca5130a5427bd191a1ef781e311da7b8ee2e16164","cross_cats_sorted":["cs.NE","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-06-08T17:08:13Z","title_canon_sha256":"cd5fd36e0b46df431cd1db258ce204f7b010ae52966d7888d66905d0e9afa0f5"},"schema_version":"1.0","source":{"id":"2006.04751","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.04751","created_at":"2026-07-05T01:08:48Z"},{"alias_kind":"arxiv_version","alias_value":"2006.04751v1","created_at":"2026-07-05T01:08:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.04751","created_at":"2026-07-05T01:08:48Z"},{"alias_kind":"pith_short_12","alias_value":"WWUBKIQ2UOHI","created_at":"2026-07-05T01:08:48Z"},{"alias_kind":"pith_short_16","alias_value":"WWUBKIQ2UOHIB7ZF","created_at":"2026-07-05T01:08:48Z"},{"alias_kind":"pith_short_8","alias_value":"WWUBKIQ2","created_at":"2026-07-05T01:08:48Z"}],"graph_snapshots":[{"event_id":"sha256:86e660706676ee4d1cf71df441bf6263a04e36d9aa160372c20bf91847039eae","target":"graph","created_at":"2026-07-05T01:08:48Z","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/2006.04751/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Gradient descent has been a central training principle for artificial neural networks from the early beginnings to today's deep learning networks. The most common implementation is the backpropagation algorithm for training feed-forward neural networks in a supervised fashion. Backpropagation involves computing the gradient of a loss function, with respect to the weights of the network, to update the weights and thus minimize loss. Although the mean square error is often used as a loss function, the general stochastic gradient descent principle does not immediately connect with a specific loss","authors_text":"Stefan Jaeger","cross_cats":["cs.NE","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-06-08T17:08:13Z","title":"The Golden Ratio of Learning and Momentum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.04751","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:b0a4cba17ae4a560e8176b36dd783c7013c832f9bca0a0223a519afd09a8f16b","target":"record","created_at":"2026-07-05T01:08:48Z","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":"82e93fd806ca70256227e0dca5130a5427bd191a1ef781e311da7b8ee2e16164","cross_cats_sorted":["cs.NE","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-06-08T17:08:13Z","title_canon_sha256":"cd5fd36e0b46df431cd1db258ce204f7b010ae52966d7888d66905d0e9afa0f5"},"schema_version":"1.0","source":{"id":"2006.04751","kind":"arxiv","version":1}},"canonical_sha256":"b5a815221aa38e80ff25d7e1dc7e8842000eb8c1dae63503e0cb41acac18ccc0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b5a815221aa38e80ff25d7e1dc7e8842000eb8c1dae63503e0cb41acac18ccc0","first_computed_at":"2026-07-05T01:08:48.363489Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:08:48.363489Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kvMION1gOe4vFds5+FHzpwPRgHgPxyftkCWusIx6ifaf4uimI/vlWOadGsDexQvk5ZgsGRSykeXv5nzfjdyDBg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:08:48.363975Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.04751","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b0a4cba17ae4a560e8176b36dd783c7013c832f9bca0a0223a519afd09a8f16b","sha256:86e660706676ee4d1cf71df441bf6263a04e36d9aa160372c20bf91847039eae"],"state_sha256":"d6f570ed55026d9c7b75155c6b265f0349c7db8a886802c2d66ed638efa29697"}