{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:7JOWUGOLDQT3QC5IKXUG2FO2MQ","short_pith_number":"pith:7JOWUGOL","canonical_record":{"source":{"id":"1311.5244","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2013-11-20T21:51:18Z","cross_cats_sorted":[],"title_canon_sha256":"02d13608d351637989d25981577e6c2b8a024a03e2d3f4941bd0667161a2d8d3","abstract_canon_sha256":"919d9c3951630e8633265da20830528d041e23201ad88533dd0e79f69634cd11"},"schema_version":"1.0"},"canonical_sha256":"fa5d6a19cb1c27b80ba855e86d15da64022f1b9cc1de818fe19d1ba8a6d119a5","source":{"kind":"arxiv","id":"1311.5244","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.5244","created_at":"2026-05-18T03:06:33Z"},{"alias_kind":"arxiv_version","alias_value":"1311.5244v1","created_at":"2026-05-18T03:06:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.5244","created_at":"2026-05-18T03:06:33Z"},{"alias_kind":"pith_short_12","alias_value":"7JOWUGOLDQT3","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7JOWUGOLDQT3QC5I","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7JOWUGOL","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:7JOWUGOLDQT3QC5IKXUG2FO2MQ","target":"record","payload":{"canonical_record":{"source":{"id":"1311.5244","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2013-11-20T21:51:18Z","cross_cats_sorted":[],"title_canon_sha256":"02d13608d351637989d25981577e6c2b8a024a03e2d3f4941bd0667161a2d8d3","abstract_canon_sha256":"919d9c3951630e8633265da20830528d041e23201ad88533dd0e79f69634cd11"},"schema_version":"1.0"},"canonical_sha256":"fa5d6a19cb1c27b80ba855e86d15da64022f1b9cc1de818fe19d1ba8a6d119a5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:06:33.880265Z","signature_b64":"p2ulJ9wa6Pf1lpeWFS70tx0VDt9LhjP7QHrQNlChhWiT8QFkt4r6dpJbt4rvEQ6FwwcACgZ+IEpBME8u6iuXAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fa5d6a19cb1c27b80ba855e86d15da64022f1b9cc1de818fe19d1ba8a6d119a5","last_reissued_at":"2026-05-18T03:06:33.879623Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:06:33.879623Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.5244","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:06:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AYtQGH2RJ0YcrQS2tGzjbgPq6vQdqe6b/ybdanef4BmS7dBX0SNdk6Vj0CKZwg6XV2R8q3k0JfcBWKQgnEItBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T11:50:26.971692Z"},"content_sha256":"5885dae324caaa8592771cb70c3dd20cc3dedb4c35bce0eea9c1d4a4ce7fab01","schema_version":"1.0","event_id":"sha256:5885dae324caaa8592771cb70c3dd20cc3dedb4c35bce0eea9c1d4a4ce7fab01"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:7JOWUGOLDQT3QC5IKXUG2FO2MQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Generalized Markov-Chain Modelling Approach to $(1,\\lambda )$-ES Linear Optimization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.DM","authors_text":"Alexandre Chotard, Martin Holena","submitted_at":"2013-11-20T21:51:18Z","abstract_excerpt":"The manuscript generalizes several recent results of the 2nd author concerning Markov-Chain Modelling of $(1,\\lambda )$-ES Linear Optimization."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.5244","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":""},"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":"2026-05-18T03:06:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wt53KS6gB0eB0xnFq8bGymgM9adrLtEgVkUgt+R65LMtUqVUJnKXRimyLG1p8yelik0ofEFgikO4d34hQKsFDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T11:50:26.972029Z"},"content_sha256":"44820c464015e1930372ae1e2a51d2e927aa3ea5c4ff439e094af90b844dcfa2","schema_version":"1.0","event_id":"sha256:44820c464015e1930372ae1e2a51d2e927aa3ea5c4ff439e094af90b844dcfa2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7JOWUGOLDQT3QC5IKXUG2FO2MQ/bundle.json","state_url":"https://pith.science/pith/7JOWUGOLDQT3QC5IKXUG2FO2MQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7JOWUGOLDQT3QC5IKXUG2FO2MQ/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":"2026-06-21T11:50:26Z","links":{"resolver":"https://pith.science/pith/7JOWUGOLDQT3QC5IKXUG2FO2MQ","bundle":"https://pith.science/pith/7JOWUGOLDQT3QC5IKXUG2FO2MQ/bundle.json","state":"https://pith.science/pith/7JOWUGOLDQT3QC5IKXUG2FO2MQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7JOWUGOLDQT3QC5IKXUG2FO2MQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:7JOWUGOLDQT3QC5IKXUG2FO2MQ","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":"919d9c3951630e8633265da20830528d041e23201ad88533dd0e79f69634cd11","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2013-11-20T21:51:18Z","title_canon_sha256":"02d13608d351637989d25981577e6c2b8a024a03e2d3f4941bd0667161a2d8d3"},"schema_version":"1.0","source":{"id":"1311.5244","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.5244","created_at":"2026-05-18T03:06:33Z"},{"alias_kind":"arxiv_version","alias_value":"1311.5244v1","created_at":"2026-05-18T03:06:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.5244","created_at":"2026-05-18T03:06:33Z"},{"alias_kind":"pith_short_12","alias_value":"7JOWUGOLDQT3","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7JOWUGOLDQT3QC5I","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7JOWUGOL","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:44820c464015e1930372ae1e2a51d2e927aa3ea5c4ff439e094af90b844dcfa2","target":"graph","created_at":"2026-05-18T03:06:33Z","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":"The manuscript generalizes several recent results of the 2nd author concerning Markov-Chain Modelling of $(1,\\lambda )$-ES Linear Optimization.","authors_text":"Alexandre Chotard, Martin Holena","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2013-11-20T21:51:18Z","title":"A Generalized Markov-Chain Modelling Approach to $(1,\\lambda )$-ES Linear Optimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.5244","kind":"arxiv","version":1},"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":"sha256:5885dae324caaa8592771cb70c3dd20cc3dedb4c35bce0eea9c1d4a4ce7fab01","target":"record","created_at":"2026-05-18T03:06:33Z","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":"919d9c3951630e8633265da20830528d041e23201ad88533dd0e79f69634cd11","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2013-11-20T21:51:18Z","title_canon_sha256":"02d13608d351637989d25981577e6c2b8a024a03e2d3f4941bd0667161a2d8d3"},"schema_version":"1.0","source":{"id":"1311.5244","kind":"arxiv","version":1}},"canonical_sha256":"fa5d6a19cb1c27b80ba855e86d15da64022f1b9cc1de818fe19d1ba8a6d119a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa5d6a19cb1c27b80ba855e86d15da64022f1b9cc1de818fe19d1ba8a6d119a5","first_computed_at":"2026-05-18T03:06:33.879623Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:06:33.879623Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p2ulJ9wa6Pf1lpeWFS70tx0VDt9LhjP7QHrQNlChhWiT8QFkt4r6dpJbt4rvEQ6FwwcACgZ+IEpBME8u6iuXAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:06:33.880265Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.5244","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5885dae324caaa8592771cb70c3dd20cc3dedb4c35bce0eea9c1d4a4ce7fab01","sha256:44820c464015e1930372ae1e2a51d2e927aa3ea5c4ff439e094af90b844dcfa2"],"state_sha256":"33109e3c274d97668ee165af070da64f4eb6e9651dd7f01a4da5fb6e65be5c8f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IxbdbcbP89M1LsZ+EZyWvrjqY/RCv0v33pf4kNK/6DpZ/rg6uc2HfdmMXH+qSxFbfzWb/5QvepKbk7/4kDtxDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T11:50:26.974056Z","bundle_sha256":"2fa0e14a0402d6b20d335677ead9378e900e9f2df5cc63eb32b3ca179a5fc78a"}}