{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:LZS27E7HNO2S2WXNTBKYXOG4EG","short_pith_number":"pith:LZS27E7H","schema_version":"1.0","canonical_sha256":"5e65af93e76bb52d5aed98558bb8dc218d0b136389e429aaa660ca18ee80cd9d","source":{"kind":"arxiv","id":"2607.29228","version":1},"attestation_state":"computed","paper":{"title":"Linear Proposal Operators and Stochastic Search Geometry in SOMA and Differential Evolution","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.NE","authors_text":"Ivan Zelinka, Vojt\\v{e}ch Nov\\'ak","submitted_at":"2026-07-31T09:58:58Z","abstract_excerpt":"Swarm and evolutionary algorithms are usually analyzed as complete procedural systems in which nonlinear selection, replacement, and adaptation obscure simpler structure within candidate generation. This paper introduces an operator--selection factorization that separates objective-independent variation from boundary repair and fitness-dependent selection, and uses it to study the proposal geometry of the Self-Organizing Migrating Algorithm (SOMA) and Differential Evolution (DE). The canonical SOMA proposal is shown to be affine in the search space and exactly linear in an augmented migrant--l"},"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":"2607.29228","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.NE","submitted_at":"2026-07-31T09:58:58Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"c55094a5b8625e70d0940fa3b5d153089b95939d475e96a6c799ac65d8b9ab45","abstract_canon_sha256":"8d17f0f4abfa782e57de55213616d523227764572e05477c07ab96305827ad7d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-03T01:22:13.717872Z","signature_b64":"h8B67d/dkZ/oy1/ybswrpEALZMrNe6QQmaE4jdiMX0x+d2wCOKnGuw4kGKW2c5sTdPY9KsJoAtXHF8D+nKHDCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5e65af93e76bb52d5aed98558bb8dc218d0b136389e429aaa660ca18ee80cd9d","last_reissued_at":"2026-08-03T01:22:13.716316Z","signature_status":"signed_v1","first_computed_at":"2026-08-03T01:22:13.716316Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Linear Proposal Operators and Stochastic Search Geometry in SOMA and Differential Evolution","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.NE","authors_text":"Ivan Zelinka, Vojt\\v{e}ch Nov\\'ak","submitted_at":"2026-07-31T09:58:58Z","abstract_excerpt":"Swarm and evolutionary algorithms are usually analyzed as complete procedural systems in which nonlinear selection, replacement, and adaptation obscure simpler structure within candidate generation. This paper introduces an operator--selection factorization that separates objective-independent variation from boundary repair and fitness-dependent selection, and uses it to study the proposal geometry of the Self-Organizing Migrating Algorithm (SOMA) and Differential Evolution (DE). The canonical SOMA proposal is shown to be affine in the search space and exactly linear in an augmented migrant--l"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.29228","kind":"arxiv","version":1},"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/2607.29228/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2607.29228","created_at":"2026-08-03T01:22:13.717215+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.29228v1","created_at":"2026-08-03T01:22:13.717215+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.29228","created_at":"2026-08-03T01:22:13.717215+00:00"},{"alias_kind":"pith_short_12","alias_value":"LZS27E7HNO2S","created_at":"2026-08-03T01:22:13.717215+00:00"},{"alias_kind":"pith_short_16","alias_value":"LZS27E7HNO2S2WXN","created_at":"2026-08-03T01:22:13.717215+00:00"},{"alias_kind":"pith_short_8","alias_value":"LZS27E7H","created_at":"2026-08-03T01:22:13.717215+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/LZS27E7HNO2S2WXNTBKYXOG4EG","json":"https://pith.science/pith/LZS27E7HNO2S2WXNTBKYXOG4EG.json","graph_json":"https://pith.science/api/pith-number/LZS27E7HNO2S2WXNTBKYXOG4EG/graph.json","events_json":"https://pith.science/api/pith-number/LZS27E7HNO2S2WXNTBKYXOG4EG/events.json","paper":"https://pith.science/paper/LZS27E7H"},"agent_actions":{"view_html":"https://pith.science/pith/LZS27E7HNO2S2WXNTBKYXOG4EG","download_json":"https://pith.science/pith/LZS27E7HNO2S2WXNTBKYXOG4EG.json","view_paper":"https://pith.science/paper/LZS27E7H","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.29228&json=true","fetch_graph":"https://pith.science/api/pith-number/LZS27E7HNO2S2WXNTBKYXOG4EG/graph.json","fetch_events":"https://pith.science/api/pith-number/LZS27E7HNO2S2WXNTBKYXOG4EG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LZS27E7HNO2S2WXNTBKYXOG4EG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LZS27E7HNO2S2WXNTBKYXOG4EG/action/storage_attestation","attest_author":"https://pith.science/pith/LZS27E7HNO2S2WXNTBKYXOG4EG/action/author_attestation","sign_citation":"https://pith.science/pith/LZS27E7HNO2S2WXNTBKYXOG4EG/action/citation_signature","submit_replication":"https://pith.science/pith/LZS27E7HNO2S2WXNTBKYXOG4EG/action/replication_record"}},"created_at":"2026-08-03T01:22:13.717215+00:00","updated_at":"2026-08-03T01:22:13.717215+00:00"}