{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:W3YNFN65PKYN4VTXUE4DCTYWZQ","short_pith_number":"pith:W3YNFN65","schema_version":"1.0","canonical_sha256":"b6f0d2b7dd7ab0de5677a138314f16cc3ff3e63a49340c10ce688f4b8a486778","source":{"kind":"arxiv","id":"0909.1242","version":4},"attestation_state":"computed","paper":{"title":"Pointwise estimates and exponential laws in metastable systems via coupling methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Alessandra Bianchi, Anton Bovier, Dmitry Ioffe","submitted_at":"2009-09-07T13:02:51Z","abstract_excerpt":"We show how coupling techniques can be used in some metastable systems to prove that mean metastable exit times are almost constant as functions of the starting microscopic configuration within a \"meta-stable set.\" In the example of the Random Field Curie Weiss model, we show that these ideas can also be used to prove asymptotic exponentiallity of normalized metastable escape times."},"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":"0909.1242","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2009-09-07T13:02:51Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"12ffb7dcab1b1d2585dc931291242bca82aa9510bfc148cbca07a2ba43737994","abstract_canon_sha256":"513e6088941ebae79d17948f858b1dc89f3caa2d3224d07ef36de397be4f37ba"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:44:47.596090Z","signature_b64":"plPSCfWVzi+4RTv2D7ZpDLSSDHx2MbqYkP9qsHVgfOEbntJn36P0ruKXOZ9YU9VQz8R5SxENq9ctV8K3wr2TBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b6f0d2b7dd7ab0de5677a138314f16cc3ff3e63a49340c10ce688f4b8a486778","last_reissued_at":"2026-05-18T03:44:47.595358Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:44:47.595358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Pointwise estimates and exponential laws in metastable systems via coupling methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Alessandra Bianchi, Anton Bovier, Dmitry Ioffe","submitted_at":"2009-09-07T13:02:51Z","abstract_excerpt":"We show how coupling techniques can be used in some metastable systems to prove that mean metastable exit times are almost constant as functions of the starting microscopic configuration within a \"meta-stable set.\" In the example of the Random Field Curie Weiss model, we show that these ideas can also be used to prove asymptotic exponentiallity of normalized metastable escape times."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.1242","kind":"arxiv","version":4},"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":"0909.1242","created_at":"2026-05-18T03:44:47.595499+00:00"},{"alias_kind":"arxiv_version","alias_value":"0909.1242v4","created_at":"2026-05-18T03:44:47.595499+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.1242","created_at":"2026-05-18T03:44:47.595499+00:00"},{"alias_kind":"pith_short_12","alias_value":"W3YNFN65PKYN","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_16","alias_value":"W3YNFN65PKYN4VTX","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_8","alias_value":"W3YNFN65","created_at":"2026-05-18T12:26:02.257875+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/W3YNFN65PKYN4VTXUE4DCTYWZQ","json":"https://pith.science/pith/W3YNFN65PKYN4VTXUE4DCTYWZQ.json","graph_json":"https://pith.science/api/pith-number/W3YNFN65PKYN4VTXUE4DCTYWZQ/graph.json","events_json":"https://pith.science/api/pith-number/W3YNFN65PKYN4VTXUE4DCTYWZQ/events.json","paper":"https://pith.science/paper/W3YNFN65"},"agent_actions":{"view_html":"https://pith.science/pith/W3YNFN65PKYN4VTXUE4DCTYWZQ","download_json":"https://pith.science/pith/W3YNFN65PKYN4VTXUE4DCTYWZQ.json","view_paper":"https://pith.science/paper/W3YNFN65","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0909.1242&json=true","fetch_graph":"https://pith.science/api/pith-number/W3YNFN65PKYN4VTXUE4DCTYWZQ/graph.json","fetch_events":"https://pith.science/api/pith-number/W3YNFN65PKYN4VTXUE4DCTYWZQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/W3YNFN65PKYN4VTXUE4DCTYWZQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/W3YNFN65PKYN4VTXUE4DCTYWZQ/action/storage_attestation","attest_author":"https://pith.science/pith/W3YNFN65PKYN4VTXUE4DCTYWZQ/action/author_attestation","sign_citation":"https://pith.science/pith/W3YNFN65PKYN4VTXUE4DCTYWZQ/action/citation_signature","submit_replication":"https://pith.science/pith/W3YNFN65PKYN4VTXUE4DCTYWZQ/action/replication_record"}},"created_at":"2026-05-18T03:44:47.595499+00:00","updated_at":"2026-05-18T03:44:47.595499+00:00"}