{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:WO3D7CRBGKKOC6NSCQDSUSRLYF","short_pith_number":"pith:WO3D7CRB","schema_version":"1.0","canonical_sha256":"b3b63f8a213294e179b214072a4a2bc1765bacf3d37baf74218ab06689fad12d","source":{"kind":"arxiv","id":"1209.2084","version":2},"attestation_state":"computed","paper":{"title":"The q-gradient method for global optimization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Aline C. Soterroni, Fernando M. Ramos, Roberto L. Galski","submitted_at":"2012-09-10T18:30:02Z","abstract_excerpt":"The q-gradient is an extension of the classical gradient vector based on the concept of Jackson's derivative. Here we introduce a preliminary version of the q-gradient method for unconstrained global optimization. The main idea behind our approach is the use of the negative of the q-gradient of the objective function as the search direction. In this sense, the method here proposed is a generalization of the well-known steepest descent method. The use of Jackson's derivative has shown to be an effective mechanism for escaping from local minima. The q-gradient method is complemented with strateg"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1209.2084","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-09-10T18:30:02Z","cross_cats_sorted":[],"title_canon_sha256":"4270e85bb3ade01905b5ddd05b3a35b256420fa778ccef90d2ab0712d90fafd0","abstract_canon_sha256":"40fd17ea3cb9d70d0ef39d94d40a4bea5a100ed44eeab93d2676bd61477d150d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:54:37.501244Z","signature_b64":"YTbze9PPwuFxxXkY54mFHllarB62YBGEosQy27/kfRWDYe1wHOBL49l0XfmqvMwunhshw+HXz4G008TrN2bIDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b3b63f8a213294e179b214072a4a2bc1765bacf3d37baf74218ab06689fad12d","last_reissued_at":"2026-05-18T01:54:37.500597Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:54:37.500597Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The q-gradient method for global optimization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Aline C. Soterroni, Fernando M. Ramos, Roberto L. Galski","submitted_at":"2012-09-10T18:30:02Z","abstract_excerpt":"The q-gradient is an extension of the classical gradient vector based on the concept of Jackson's derivative. Here we introduce a preliminary version of the q-gradient method for unconstrained global optimization. The main idea behind our approach is the use of the negative of the q-gradient of the objective function as the search direction. In this sense, the method here proposed is a generalization of the well-known steepest descent method. The use of Jackson's derivative has shown to be an effective mechanism for escaping from local minima. The q-gradient method is complemented with strateg"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.2084","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1209.2084","created_at":"2026-05-18T01:54:37.500700+00:00"},{"alias_kind":"arxiv_version","alias_value":"1209.2084v2","created_at":"2026-05-18T01:54:37.500700+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.2084","created_at":"2026-05-18T01:54:37.500700+00:00"},{"alias_kind":"pith_short_12","alias_value":"WO3D7CRBGKKO","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_16","alias_value":"WO3D7CRBGKKOC6NS","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_8","alias_value":"WO3D7CRB","created_at":"2026-05-18T12:27:25.539911+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WO3D7CRBGKKOC6NSCQDSUSRLYF","json":"https://pith.science/pith/WO3D7CRBGKKOC6NSCQDSUSRLYF.json","graph_json":"https://pith.science/api/pith-number/WO3D7CRBGKKOC6NSCQDSUSRLYF/graph.json","events_json":"https://pith.science/api/pith-number/WO3D7CRBGKKOC6NSCQDSUSRLYF/events.json","paper":"https://pith.science/paper/WO3D7CRB"},"agent_actions":{"view_html":"https://pith.science/pith/WO3D7CRBGKKOC6NSCQDSUSRLYF","download_json":"https://pith.science/pith/WO3D7CRBGKKOC6NSCQDSUSRLYF.json","view_paper":"https://pith.science/paper/WO3D7CRB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1209.2084&json=true","fetch_graph":"https://pith.science/api/pith-number/WO3D7CRBGKKOC6NSCQDSUSRLYF/graph.json","fetch_events":"https://pith.science/api/pith-number/WO3D7CRBGKKOC6NSCQDSUSRLYF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WO3D7CRBGKKOC6NSCQDSUSRLYF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WO3D7CRBGKKOC6NSCQDSUSRLYF/action/storage_attestation","attest_author":"https://pith.science/pith/WO3D7CRBGKKOC6NSCQDSUSRLYF/action/author_attestation","sign_citation":"https://pith.science/pith/WO3D7CRBGKKOC6NSCQDSUSRLYF/action/citation_signature","submit_replication":"https://pith.science/pith/WO3D7CRBGKKOC6NSCQDSUSRLYF/action/replication_record"}},"created_at":"2026-05-18T01:54:37.500700+00:00","updated_at":"2026-05-18T01:54:37.500700+00:00"}