{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:BVPAQL6LRX2R4JC7DKKWKUV6KH","short_pith_number":"pith:BVPAQL6L","canonical_record":{"source":{"id":"1111.0907","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2011-11-03T16:38:02Z","cross_cats_sorted":[],"title_canon_sha256":"6c95e03d54ad04f12871f6f9fd07d0541a18a26c03b3663de95dc58285dfb311","abstract_canon_sha256":"b2a35a0a6d6038a21922e4d5f4c4c9a8d51b925aa64bd1a4c49d3f6a37bdcf9c"},"schema_version":"1.0"},"canonical_sha256":"0d5e082fcb8df51e245f1a956552be51c287717c04e72d9a88422aabfe5245ba","source":{"kind":"arxiv","id":"1111.0907","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.0907","created_at":"2026-05-18T03:54:15Z"},{"alias_kind":"arxiv_version","alias_value":"1111.0907v2","created_at":"2026-05-18T03:54:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.0907","created_at":"2026-05-18T03:54:15Z"},{"alias_kind":"pith_short_12","alias_value":"BVPAQL6LRX2R","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BVPAQL6LRX2R4JC7","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BVPAQL6L","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:BVPAQL6LRX2R4JC7DKKWKUV6KH","target":"record","payload":{"canonical_record":{"source":{"id":"1111.0907","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2011-11-03T16:38:02Z","cross_cats_sorted":[],"title_canon_sha256":"6c95e03d54ad04f12871f6f9fd07d0541a18a26c03b3663de95dc58285dfb311","abstract_canon_sha256":"b2a35a0a6d6038a21922e4d5f4c4c9a8d51b925aa64bd1a4c49d3f6a37bdcf9c"},"schema_version":"1.0"},"canonical_sha256":"0d5e082fcb8df51e245f1a956552be51c287717c04e72d9a88422aabfe5245ba","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:54:15.936015Z","signature_b64":"t1OKsz24pLpQ25i9ig8sqxqZ2sjhPA0qW4JZf2tsQabDQFTKQ84lIc36wQ/3BAKfpwvVTxXVugs7iK3+NrJTDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0d5e082fcb8df51e245f1a956552be51c287717c04e72d9a88422aabfe5245ba","last_reissued_at":"2026-05-18T03:54:15.935412Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:54:15.935412Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.0907","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:54:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f6I98ED4nhGDXynm7EQu9Io53btXqYuT982+/CnsCulBcIEjOrXzvFmoZVIurLitHk+A1HMSpx+TabPTelcQDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T14:23:18.546981Z"},"content_sha256":"916012895e489ffcec46507357fc126286f3b897aa97541d69456711be5c56c4","schema_version":"1.0","event_id":"sha256:916012895e489ffcec46507357fc126286f3b897aa97541d69456711be5c56c4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:BVPAQL6LRX2R4JC7DKKWKUV6KH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Towards Analyzing Crossover Operators in Evolutionary Search via General Markov Chain Switching Theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.NE","authors_text":"Chao Qian, Yang Yu, Zhi-Hua Zhou","submitted_at":"2011-11-03T16:38:02Z","abstract_excerpt":"Evolutionary algorithms (EAs), simulating the evolution process of natural species, are used to solve optimization problems. Crossover (also called recombination), originated from simulating the chromosome exchange phenomena in zoogamy reproduction, is widely employed in EAs to generate offspring solutions, of which the effectiveness has been examined empirically in applications. However, due to the irregularity of crossover operators and the complicated interactions to mutation, crossover operators are hard to analyze and thus have few theoretical results. Therefore, analyzing crossover not o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.0907","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:54:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SayqIComKrm4sv67Fisk0bRd8hmG+JR41dxZb0zbYN7L8j4EwYLW/5E4Hcz9ntkW2SmQ+lmtY3lmNec1SmNICw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T14:23:18.547537Z"},"content_sha256":"cf9e8cee1f1eb5dd0e6e790633349a19a7ef52964bd495e4f17d930349d73ca4","schema_version":"1.0","event_id":"sha256:cf9e8cee1f1eb5dd0e6e790633349a19a7ef52964bd495e4f17d930349d73ca4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BVPAQL6LRX2R4JC7DKKWKUV6KH/bundle.json","state_url":"https://pith.science/pith/BVPAQL6LRX2R4JC7DKKWKUV6KH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BVPAQL6LRX2R4JC7DKKWKUV6KH/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-08T14:23:18Z","links":{"resolver":"https://pith.science/pith/BVPAQL6LRX2R4JC7DKKWKUV6KH","bundle":"https://pith.science/pith/BVPAQL6LRX2R4JC7DKKWKUV6KH/bundle.json","state":"https://pith.science/pith/BVPAQL6LRX2R4JC7DKKWKUV6KH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BVPAQL6LRX2R4JC7DKKWKUV6KH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:BVPAQL6LRX2R4JC7DKKWKUV6KH","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":"b2a35a0a6d6038a21922e4d5f4c4c9a8d51b925aa64bd1a4c49d3f6a37bdcf9c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2011-11-03T16:38:02Z","title_canon_sha256":"6c95e03d54ad04f12871f6f9fd07d0541a18a26c03b3663de95dc58285dfb311"},"schema_version":"1.0","source":{"id":"1111.0907","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.0907","created_at":"2026-05-18T03:54:15Z"},{"alias_kind":"arxiv_version","alias_value":"1111.0907v2","created_at":"2026-05-18T03:54:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.0907","created_at":"2026-05-18T03:54:15Z"},{"alias_kind":"pith_short_12","alias_value":"BVPAQL6LRX2R","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BVPAQL6LRX2R4JC7","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BVPAQL6L","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:cf9e8cee1f1eb5dd0e6e790633349a19a7ef52964bd495e4f17d930349d73ca4","target":"graph","created_at":"2026-05-18T03:54:15Z","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":"Evolutionary algorithms (EAs), simulating the evolution process of natural species, are used to solve optimization problems. Crossover (also called recombination), originated from simulating the chromosome exchange phenomena in zoogamy reproduction, is widely employed in EAs to generate offspring solutions, of which the effectiveness has been examined empirically in applications. However, due to the irregularity of crossover operators and the complicated interactions to mutation, crossover operators are hard to analyze and thus have few theoretical results. Therefore, analyzing crossover not o","authors_text":"Chao Qian, Yang Yu, Zhi-Hua Zhou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2011-11-03T16:38:02Z","title":"Towards Analyzing Crossover Operators in Evolutionary Search via General Markov Chain Switching Theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.0907","kind":"arxiv","version":2},"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":"sha256:916012895e489ffcec46507357fc126286f3b897aa97541d69456711be5c56c4","target":"record","created_at":"2026-05-18T03:54:15Z","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":"b2a35a0a6d6038a21922e4d5f4c4c9a8d51b925aa64bd1a4c49d3f6a37bdcf9c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2011-11-03T16:38:02Z","title_canon_sha256":"6c95e03d54ad04f12871f6f9fd07d0541a18a26c03b3663de95dc58285dfb311"},"schema_version":"1.0","source":{"id":"1111.0907","kind":"arxiv","version":2}},"canonical_sha256":"0d5e082fcb8df51e245f1a956552be51c287717c04e72d9a88422aabfe5245ba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d5e082fcb8df51e245f1a956552be51c287717c04e72d9a88422aabfe5245ba","first_computed_at":"2026-05-18T03:54:15.935412Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:54:15.935412Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t1OKsz24pLpQ25i9ig8sqxqZ2sjhPA0qW4JZf2tsQabDQFTKQ84lIc36wQ/3BAKfpwvVTxXVugs7iK3+NrJTDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:54:15.936015Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.0907","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:916012895e489ffcec46507357fc126286f3b897aa97541d69456711be5c56c4","sha256:cf9e8cee1f1eb5dd0e6e790633349a19a7ef52964bd495e4f17d930349d73ca4"],"state_sha256":"1b9bad92e36c7438c9cf7f070f9f1eb838a2d5c49ca7cb562b0461d6f4f67d2f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C3GKX2Nq6SKoKwB3fTBHjw3h03JQwqBzJ4QBx9Fq8iGthMdLFW/ma8lIr3l3+XIZCpDOIIUkwtmZeEzcV4pXAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T14:23:18.550381Z","bundle_sha256":"1611b52458a001b7a8b7ab4a2aabc268189e8645ebf4320309164d3138a16fdd"}}