{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:HT5XDLPO2FFPSEDQHFYVG4LMXQ","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":"801f1ff30304e80c4e4f660dfea20af2bdb7cebf647d91e63453b0fda6d50d01","cross_cats_sorted":["cs.DS","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2017-12-13T01:10:13Z","title_canon_sha256":"fd108523a78670e4ebfffe5f102f7a0c434d39853c37d96a678f5746d0b4de0a"},"schema_version":"1.0","source":{"id":"1712.04581","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.04581","created_at":"2026-05-17T23:44:32Z"},{"alias_kind":"arxiv_version","alias_value":"1712.04581v3","created_at":"2026-05-17T23:44:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.04581","created_at":"2026-05-17T23:44:32Z"},{"alias_kind":"pith_short_12","alias_value":"HT5XDLPO2FFP","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HT5XDLPO2FFPSEDQ","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HT5XDLPO","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:cbf9ac66914143414656cf72c4612bbfb6986be17d401ed24d8c190f332b4737","target":"graph","created_at":"2026-05-17T23:44:32Z","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"},"paper":{"abstract_excerpt":"This note discusses proofs for convergence of first-order methods based on simple potential-function arguments. We cover methods like gradient descent (for both smooth and non-smooth settings), mirror descent, and some accelerated variants.","authors_text":"Anupam Gupta, Nikhil Bansal","cross_cats":["cs.DS","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2017-12-13T01:10:13Z","title":"Potential-Function Proofs for First-Order Methods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.04581","kind":"arxiv","version":3},"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":"sha256:2f4f516c3094507ae431b1a5fe464a82aa09b08ae0c6d1e85dc742b8b4bb4c97","target":"record","created_at":"2026-05-17T23:44:32Z","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":"801f1ff30304e80c4e4f660dfea20af2bdb7cebf647d91e63453b0fda6d50d01","cross_cats_sorted":["cs.DS","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2017-12-13T01:10:13Z","title_canon_sha256":"fd108523a78670e4ebfffe5f102f7a0c434d39853c37d96a678f5746d0b4de0a"},"schema_version":"1.0","source":{"id":"1712.04581","kind":"arxiv","version":3}},"canonical_sha256":"3cfb71adeed14af91070397153716cbc34d7d40895aaf00908b432c5803a0f69","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3cfb71adeed14af91070397153716cbc34d7d40895aaf00908b432c5803a0f69","first_computed_at":"2026-05-17T23:44:32.832034Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:32.832034Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5MSrPVu++79AUguUf59lGikuwDkEGGVURNxCFmuYgX5pX4KAbtRwpkS5FPS0oGBMtHYHHQ7qGSKnD+mX3oJSBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:32.832744Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.04581","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f4f516c3094507ae431b1a5fe464a82aa09b08ae0c6d1e85dc742b8b4bb4c97","sha256:cbf9ac66914143414656cf72c4612bbfb6986be17d401ed24d8c190f332b4737"],"state_sha256":"2d86ca798292ddb820f942afc7630c52ba5cc386923d907e5d2288d56f59937e"}