{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:O5S3ZO33HORTQ5BOJFOSJTBRT5","short_pith_number":"pith:O5S3ZO33","schema_version":"1.0","canonical_sha256":"7765bcbb7b3ba338742e495d24cc319f7657579e150bb983a957ee5c3217f5e7","source":{"kind":"arxiv","id":"1207.2719","version":3},"attestation_state":"computed","paper":{"title":"Minimising the expected commute time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"math.PR","authors_text":"Ma. Elena Hernandez-Hernandez, Saul Jacka","submitted_at":"2012-07-11T17:44:03Z","abstract_excerpt":"Motivated in part by a problem in simulated tempering (a form of Markov chain Monte Carlo) we seek to minimise, in a suitable sense, the time it takes a (regular) diffusion with instantaneous reflection at 0 and 1 to travel from the origin to $1$ and then return (the so-called commute time from 0 to 1).\n  We consider the static and dynamic versions of this problem where the control mechanism is related to the diffusion\\rq{}s drift via the corresponding scale function. In the static version the diffusion's drift can be chosen at each point in [0,1], whereas in the dynamic version, we are only a"},"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":"1207.2719","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-07-11T17:44:03Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"3fc184f22197b35b380a35f20e8019af6b8bb671b6a99e39c92b3376f9f46241","abstract_canon_sha256":"5f17791ccf3f55ec003225b045fc4e5a24dbc74d7631adfdfe5bb45d530e853e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:06.119508Z","signature_b64":"dOMArVchdY92IWigzYXMw978cwRIy9e9Qq/GUpVKs5JTmC+8B+lD6vlNXc2k2Q3uXRi5NpV1CYQDb9vbn0abBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7765bcbb7b3ba338742e495d24cc319f7657579e150bb983a957ee5c3217f5e7","last_reissued_at":"2026-05-17T23:58:06.119101Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:06.119101Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Minimising the expected commute time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"math.PR","authors_text":"Ma. Elena Hernandez-Hernandez, Saul Jacka","submitted_at":"2012-07-11T17:44:03Z","abstract_excerpt":"Motivated in part by a problem in simulated tempering (a form of Markov chain Monte Carlo) we seek to minimise, in a suitable sense, the time it takes a (regular) diffusion with instantaneous reflection at 0 and 1 to travel from the origin to $1$ and then return (the so-called commute time from 0 to 1).\n  We consider the static and dynamic versions of this problem where the control mechanism is related to the diffusion\\rq{}s drift via the corresponding scale function. In the static version the diffusion's drift can be chosen at each point in [0,1], whereas in the dynamic version, we are only a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.2719","kind":"arxiv","version":3},"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":"1207.2719","created_at":"2026-05-17T23:58:06.119157+00:00"},{"alias_kind":"arxiv_version","alias_value":"1207.2719v3","created_at":"2026-05-17T23:58:06.119157+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.2719","created_at":"2026-05-17T23:58:06.119157+00:00"},{"alias_kind":"pith_short_12","alias_value":"O5S3ZO33HORT","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_16","alias_value":"O5S3ZO33HORTQ5BO","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_8","alias_value":"O5S3ZO33","created_at":"2026-05-18T12:27:16.716162+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/O5S3ZO33HORTQ5BOJFOSJTBRT5","json":"https://pith.science/pith/O5S3ZO33HORTQ5BOJFOSJTBRT5.json","graph_json":"https://pith.science/api/pith-number/O5S3ZO33HORTQ5BOJFOSJTBRT5/graph.json","events_json":"https://pith.science/api/pith-number/O5S3ZO33HORTQ5BOJFOSJTBRT5/events.json","paper":"https://pith.science/paper/O5S3ZO33"},"agent_actions":{"view_html":"https://pith.science/pith/O5S3ZO33HORTQ5BOJFOSJTBRT5","download_json":"https://pith.science/pith/O5S3ZO33HORTQ5BOJFOSJTBRT5.json","view_paper":"https://pith.science/paper/O5S3ZO33","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1207.2719&json=true","fetch_graph":"https://pith.science/api/pith-number/O5S3ZO33HORTQ5BOJFOSJTBRT5/graph.json","fetch_events":"https://pith.science/api/pith-number/O5S3ZO33HORTQ5BOJFOSJTBRT5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/O5S3ZO33HORTQ5BOJFOSJTBRT5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/O5S3ZO33HORTQ5BOJFOSJTBRT5/action/storage_attestation","attest_author":"https://pith.science/pith/O5S3ZO33HORTQ5BOJFOSJTBRT5/action/author_attestation","sign_citation":"https://pith.science/pith/O5S3ZO33HORTQ5BOJFOSJTBRT5/action/citation_signature","submit_replication":"https://pith.science/pith/O5S3ZO33HORTQ5BOJFOSJTBRT5/action/replication_record"}},"created_at":"2026-05-17T23:58:06.119157+00:00","updated_at":"2026-05-17T23:58:06.119157+00:00"}