{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:X3T5TT57LCMWUTAG7PQAHMPU5K","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":"aacd1c0f89ff87f7254e94cc1ff0ce7937e1627cb1e76fc56b7726e97854b313","cross_cats_sorted":["cs.LG","cs.NA","math.FA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-04-19T17:20:58Z","title_canon_sha256":"35761aa5e7be16efaa01c2aa48f50d5b03fca620dd153737ec6e8468064166d6"},"schema_version":"1.0","source":{"id":"1804.10273","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.10273","created_at":"2026-06-04T19:11:50Z"},{"alias_kind":"arxiv_version","alias_value":"1804.10273v4","created_at":"2026-06-04T19:11:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.10273","created_at":"2026-06-04T19:11:50Z"},{"alias_kind":"pith_short_12","alias_value":"X3T5TT57LCMW","created_at":"2026-06-04T19:11:50Z"},{"alias_kind":"pith_short_16","alias_value":"X3T5TT57LCMWUTAG","created_at":"2026-06-04T19:11:50Z"},{"alias_kind":"pith_short_8","alias_value":"X3T5TT57","created_at":"2026-06-04T19:11:50Z"}],"graph_snapshots":[{"event_id":"sha256:e3900ae54d65abcd9fa777a3f86545a2a373bbc6cc2ac75c74b103d200fe00d9","target":"graph","created_at":"2026-06-04T19:11:50Z","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/1804.10273/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The problem of minimization of the sum of two convex functions has various theoretical and real-world applications. One of the popular methods for solving this problem is the proximal gradient method (proximal forward-backward algorithm). A very common assumption in the use of this method is that the gradient of the smooth term is globally Lipschitz continuous. However, this assumption is not always satisfied in practice, thus casting a limitation on the method. In this paper, we discuss, in a wide class of finite and infinite-dimensional spaces, a new variant of the proximal gradient method w","authors_text":"Alvaro De Pierro, Daniel Reem, Simeon Reich","cross_cats":["cs.LG","cs.NA","math.FA","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-04-19T17:20:58Z","title":"A telescoping Bregmanian proximal gradient method without the global Lipschitz continuity assumption"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.10273","kind":"arxiv","version":4},"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":"sha256:0b2fa578e76bff288c8cdcd52cd034881406ad7f119b37bbe50aae4055b5e80b","target":"record","created_at":"2026-06-04T19:11:50Z","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":"aacd1c0f89ff87f7254e94cc1ff0ce7937e1627cb1e76fc56b7726e97854b313","cross_cats_sorted":["cs.LG","cs.NA","math.FA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-04-19T17:20:58Z","title_canon_sha256":"35761aa5e7be16efaa01c2aa48f50d5b03fca620dd153737ec6e8468064166d6"},"schema_version":"1.0","source":{"id":"1804.10273","kind":"arxiv","version":4}},"canonical_sha256":"bee7d9cfbf58996a4c06fbe003b1f4ea963274ceae641a3c865650119be639dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bee7d9cfbf58996a4c06fbe003b1f4ea963274ceae641a3c865650119be639dc","first_computed_at":"2026-06-04T19:11:50.259247Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T19:11:50.259247Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rj9AmG0pj3yK9uZPQwzYC7ylHW4UUXzREXoubbXj36bLD9C03bW4myH9K73uwYrYRo6S+PPjkDyn+GnFWnHIDg==","signature_status":"signed_v1","signed_at":"2026-06-04T19:11:50.259784Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.10273","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b2fa578e76bff288c8cdcd52cd034881406ad7f119b37bbe50aae4055b5e80b","sha256:e3900ae54d65abcd9fa777a3f86545a2a373bbc6cc2ac75c74b103d200fe00d9"],"state_sha256":"acf4e89fd457c80a0428dc28f6f2ae37dee2cdc9039e7c86480c9f5ac3630b9d"}