{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:WGJKCBOCL4MNVY3MQTLJVJSMNP","short_pith_number":"pith:WGJKCBOC","canonical_record":{"source":{"id":"1805.09415","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2018-05-22T12:13:40Z","cross_cats_sorted":["cs.NE"],"title_canon_sha256":"d1e127ca67353e5926e9792b9f575e9d18228e0e51b5c4f0da63ba45194fe493","abstract_canon_sha256":"8ce12f02d04adc90cee22f5094a7680c1e2ff4c0bd16a6c709294d03e5326661"},"schema_version":"1.0"},"canonical_sha256":"b192a105c25f18dae36c84d69aa64c6bedc360f6788bb42a0a10f1bad6c19450","source":{"kind":"arxiv","id":"1805.09415","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.09415","created_at":"2026-05-18T00:15:04Z"},{"alias_kind":"arxiv_version","alias_value":"1805.09415v1","created_at":"2026-05-18T00:15:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.09415","created_at":"2026-05-18T00:15:04Z"},{"alias_kind":"pith_short_12","alias_value":"WGJKCBOCL4MN","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"WGJKCBOCL4MNVY3M","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"WGJKCBOC","created_at":"2026-05-18T12:32:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:WGJKCBOCL4MNVY3MQTLJVJSMNP","target":"record","payload":{"canonical_record":{"source":{"id":"1805.09415","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2018-05-22T12:13:40Z","cross_cats_sorted":["cs.NE"],"title_canon_sha256":"d1e127ca67353e5926e9792b9f575e9d18228e0e51b5c4f0da63ba45194fe493","abstract_canon_sha256":"8ce12f02d04adc90cee22f5094a7680c1e2ff4c0bd16a6c709294d03e5326661"},"schema_version":"1.0"},"canonical_sha256":"b192a105c25f18dae36c84d69aa64c6bedc360f6788bb42a0a10f1bad6c19450","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:04.043203Z","signature_b64":"xmEVkLcCCUAgjdAwkyzHhTq6776bFfdONu+dwvnKOXQTBELfiuwmNwch/OxGNWJgfOMz/ClPiGuU19TuBFTBCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b192a105c25f18dae36c84d69aa64c6bedc360f6788bb42a0a10f1bad6c19450","last_reissued_at":"2026-05-18T00:15:04.042615Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:04.042615Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.09415","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":"2026-05-18T00:15:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PZ7eKEapSL1AlZnYn+LO5dckGLn5C5Tcw3bBAPWdiUPzTxjPOJDFamoGY6KGFm71IVvuzENFlFw2NZBk/JOLDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T00:10:23.415361Z"},"content_sha256":"572af35305fb55f1a52f63afea46d117e5318eaf00936271dbba5568267d9d22","schema_version":"1.0","event_id":"sha256:572af35305fb55f1a52f63afea46d117e5318eaf00936271dbba5568267d9d22"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:WGJKCBOCL4MNVY3MQTLJVJSMNP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"First-Hitting Times Under Additive Drift","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NE"],"primary_cat":"math.PR","authors_text":"Martin S. Krejca, Timo K\\\"otzing","submitted_at":"2018-05-22T12:13:40Z","abstract_excerpt":"For the last ten years, almost every theoretical result concerning the expected run time of a randomized search heuristic used drift theory, making it the arguably most important tool in this domain. Its success is due to its ease of use and its powerful result: drift theory allows the user to derive bounds on the expected first-hitting time of a random process by bounding expected local changes of the process -- the drift. This is usually far easier than bounding the expected first-hitting time directly.\n  Due to the widespread use of drift theory, it is of utmost importance to have the best "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.09415","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":"2026-05-18T00:15:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uj97nut2/VR4MV71NKmG6EC9XU8sS7TT5Q3PeGiPx1/OSkeuabJa+jZXtmlFTvVFjOrRT1+4e8ilND4bTCGBDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T00:10:23.415751Z"},"content_sha256":"4814d64f53683bce777951b6ff8959663de579ba56c1fe23fb84627d09662c27","schema_version":"1.0","event_id":"sha256:4814d64f53683bce777951b6ff8959663de579ba56c1fe23fb84627d09662c27"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WGJKCBOCL4MNVY3MQTLJVJSMNP/bundle.json","state_url":"https://pith.science/pith/WGJKCBOCL4MNVY3MQTLJVJSMNP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WGJKCBOCL4MNVY3MQTLJVJSMNP/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":"2026-05-30T00:10:23Z","links":{"resolver":"https://pith.science/pith/WGJKCBOCL4MNVY3MQTLJVJSMNP","bundle":"https://pith.science/pith/WGJKCBOCL4MNVY3MQTLJVJSMNP/bundle.json","state":"https://pith.science/pith/WGJKCBOCL4MNVY3MQTLJVJSMNP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WGJKCBOCL4MNVY3MQTLJVJSMNP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:WGJKCBOCL4MNVY3MQTLJVJSMNP","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":"8ce12f02d04adc90cee22f5094a7680c1e2ff4c0bd16a6c709294d03e5326661","cross_cats_sorted":["cs.NE"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2018-05-22T12:13:40Z","title_canon_sha256":"d1e127ca67353e5926e9792b9f575e9d18228e0e51b5c4f0da63ba45194fe493"},"schema_version":"1.0","source":{"id":"1805.09415","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.09415","created_at":"2026-05-18T00:15:04Z"},{"alias_kind":"arxiv_version","alias_value":"1805.09415v1","created_at":"2026-05-18T00:15:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.09415","created_at":"2026-05-18T00:15:04Z"},{"alias_kind":"pith_short_12","alias_value":"WGJKCBOCL4MN","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"WGJKCBOCL4MNVY3M","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"WGJKCBOC","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:4814d64f53683bce777951b6ff8959663de579ba56c1fe23fb84627d09662c27","target":"graph","created_at":"2026-05-18T00:15:04Z","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":"For the last ten years, almost every theoretical result concerning the expected run time of a randomized search heuristic used drift theory, making it the arguably most important tool in this domain. Its success is due to its ease of use and its powerful result: drift theory allows the user to derive bounds on the expected first-hitting time of a random process by bounding expected local changes of the process -- the drift. This is usually far easier than bounding the expected first-hitting time directly.\n  Due to the widespread use of drift theory, it is of utmost importance to have the best ","authors_text":"Martin S. Krejca, Timo K\\\"otzing","cross_cats":["cs.NE"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2018-05-22T12:13:40Z","title":"First-Hitting Times Under Additive Drift"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.09415","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":"sha256:572af35305fb55f1a52f63afea46d117e5318eaf00936271dbba5568267d9d22","target":"record","created_at":"2026-05-18T00:15:04Z","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":"8ce12f02d04adc90cee22f5094a7680c1e2ff4c0bd16a6c709294d03e5326661","cross_cats_sorted":["cs.NE"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2018-05-22T12:13:40Z","title_canon_sha256":"d1e127ca67353e5926e9792b9f575e9d18228e0e51b5c4f0da63ba45194fe493"},"schema_version":"1.0","source":{"id":"1805.09415","kind":"arxiv","version":1}},"canonical_sha256":"b192a105c25f18dae36c84d69aa64c6bedc360f6788bb42a0a10f1bad6c19450","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b192a105c25f18dae36c84d69aa64c6bedc360f6788bb42a0a10f1bad6c19450","first_computed_at":"2026-05-18T00:15:04.042615Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:04.042615Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xmEVkLcCCUAgjdAwkyzHhTq6776bFfdONu+dwvnKOXQTBELfiuwmNwch/OxGNWJgfOMz/ClPiGuU19TuBFTBCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:04.043203Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.09415","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:572af35305fb55f1a52f63afea46d117e5318eaf00936271dbba5568267d9d22","sha256:4814d64f53683bce777951b6ff8959663de579ba56c1fe23fb84627d09662c27"],"state_sha256":"95fd16ee79992fe771d6515fa0af3b9569b2f70fcf2d2328a5615a18c98cdcf0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0G15jDTDHhGMvEoVqQzucKKCJ/q8k2+kDUm+n6O9j/Hov48Jboe3Xl2Lw63PqcofXkVrduPbLzmWDbVml8g7AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T00:10:23.419341Z","bundle_sha256":"6c950533be7230d2c93e37ee87e36830cfa07277c889282b59029d38788a2570"}}