{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:WRR5RDMF6XY6EUOY33UF4N5L3X","short_pith_number":"pith:WRR5RDMF","schema_version":"1.0","canonical_sha256":"b463d88d85f5f1e251d8dee85e37abddfa9a0e0bef59d0997ac96f002d811e60","source":{"kind":"arxiv","id":"1603.08622","version":2},"attestation_state":"computed","paper":{"title":"Convergence of Brownian motions on RCD(K,infty) spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Kohei Suzuki","submitted_at":"2016-03-29T03:03:14Z","abstract_excerpt":"Suppose that metric measure spaces X_n=(X_n, d_n, m_n) satisfy RCD(K,infty) conditions with m_n(X_n)=1. Then the measured Gromov convergence (introduced by Gigili-Mondino-Savare '13) of X_n is equivalent to the weak convergence of the laws of Brownian motions on X_n with initial distributions m_n."},"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":"1603.08622","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-03-29T03:03:14Z","cross_cats_sorted":[],"title_canon_sha256":"2fa07104ab701c70355bfa3d4f7372c4864f19d70ef72199e6ccc1647e3cb7b2","abstract_canon_sha256":"7a5e2ba87952ea1bd9a1824fb2a873b0bd0695d3ddc9f9d3b082d7f24a16eabf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:05.962071Z","signature_b64":"jvNyBiVnhvdRFOOm0ZGDy52vZYXg47ml5918Goy+TQCVVMeqQksemKtl+DpCIg8mJYpT3mWk51FIVei+SJGqBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b463d88d85f5f1e251d8dee85e37abddfa9a0e0bef59d0997ac96f002d811e60","last_reissued_at":"2026-05-18T00:25:05.961592Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:05.961592Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Convergence of Brownian motions on RCD(K,infty) spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Kohei Suzuki","submitted_at":"2016-03-29T03:03:14Z","abstract_excerpt":"Suppose that metric measure spaces X_n=(X_n, d_n, m_n) satisfy RCD(K,infty) conditions with m_n(X_n)=1. Then the measured Gromov convergence (introduced by Gigili-Mondino-Savare '13) of X_n is equivalent to the weak convergence of the laws of Brownian motions on X_n with initial distributions m_n."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.08622","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1603.08622","created_at":"2026-05-18T00:25:05.961657+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.08622v2","created_at":"2026-05-18T00:25:05.961657+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.08622","created_at":"2026-05-18T00:25:05.961657+00:00"},{"alias_kind":"pith_short_12","alias_value":"WRR5RDMF6XY6","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_16","alias_value":"WRR5RDMF6XY6EUOY","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_8","alias_value":"WRR5RDMF","created_at":"2026-05-18T12:30:51.357362+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/WRR5RDMF6XY6EUOY33UF4N5L3X","json":"https://pith.science/pith/WRR5RDMF6XY6EUOY33UF4N5L3X.json","graph_json":"https://pith.science/api/pith-number/WRR5RDMF6XY6EUOY33UF4N5L3X/graph.json","events_json":"https://pith.science/api/pith-number/WRR5RDMF6XY6EUOY33UF4N5L3X/events.json","paper":"https://pith.science/paper/WRR5RDMF"},"agent_actions":{"view_html":"https://pith.science/pith/WRR5RDMF6XY6EUOY33UF4N5L3X","download_json":"https://pith.science/pith/WRR5RDMF6XY6EUOY33UF4N5L3X.json","view_paper":"https://pith.science/paper/WRR5RDMF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.08622&json=true","fetch_graph":"https://pith.science/api/pith-number/WRR5RDMF6XY6EUOY33UF4N5L3X/graph.json","fetch_events":"https://pith.science/api/pith-number/WRR5RDMF6XY6EUOY33UF4N5L3X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WRR5RDMF6XY6EUOY33UF4N5L3X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WRR5RDMF6XY6EUOY33UF4N5L3X/action/storage_attestation","attest_author":"https://pith.science/pith/WRR5RDMF6XY6EUOY33UF4N5L3X/action/author_attestation","sign_citation":"https://pith.science/pith/WRR5RDMF6XY6EUOY33UF4N5L3X/action/citation_signature","submit_replication":"https://pith.science/pith/WRR5RDMF6XY6EUOY33UF4N5L3X/action/replication_record"}},"created_at":"2026-05-18T00:25:05.961657+00:00","updated_at":"2026-05-18T00:25:05.961657+00:00"}