{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RRVK54JFX4M5VMGRM4RV4IAIWU","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":"f56ec542d158f81292f9ece58ab6a7dc7597eaea54e418390de4a255101e3cb9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-23T16:32:21Z","title_canon_sha256":"a6bcca9a660f256dcdc5a4b14d2d09048b2b1af0de1301b199e8aba3c4817f38"},"schema_version":"1.0","source":{"id":"1403.5770","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.5770","created_at":"2026-05-18T02:55:48Z"},{"alias_kind":"arxiv_version","alias_value":"1403.5770v1","created_at":"2026-05-18T02:55:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.5770","created_at":"2026-05-18T02:55:48Z"},{"alias_kind":"pith_short_12","alias_value":"RRVK54JFX4M5","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RRVK54JFX4M5VMGR","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RRVK54JF","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:717bc424a3b66e28f30fdaa53394668d71a53d01ded27afed0e5f2944781f4e3","target":"graph","created_at":"2026-05-18T02:55:48Z","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":"We study functions of bounded variation defined in an abstract Wiener space X, relating the variation of a function u on a convex open set O in X to the behavior near t=0 of T(t)u, T(t) being the Ornstein--Uhlenbeck semigroup in O.","authors_text":"Alessandra Lunardi, Diego Pallara, Michele Miranda Jr.","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-23T16:32:21Z","title":"BV functions on convex domains in Wiener spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.5770","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":"sha256:57d04e6ab006a4fa012fc5f995f7c40c7f1837211065a44e3ecc362f46a3aee2","target":"record","created_at":"2026-05-18T02:55:48Z","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":"f56ec542d158f81292f9ece58ab6a7dc7597eaea54e418390de4a255101e3cb9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-23T16:32:21Z","title_canon_sha256":"a6bcca9a660f256dcdc5a4b14d2d09048b2b1af0de1301b199e8aba3c4817f38"},"schema_version":"1.0","source":{"id":"1403.5770","kind":"arxiv","version":1}},"canonical_sha256":"8c6aaef125bf19dab0d167235e2008b53cbf0e46c006b308b7077970cede0c72","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c6aaef125bf19dab0d167235e2008b53cbf0e46c006b308b7077970cede0c72","first_computed_at":"2026-05-18T02:55:48.914142Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:48.914142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0I2GNxF5f2NSAvAjWS0xOrp0n5EWKCAC8kWVDW+K+bxCOG2PuGIjiJHeuN8+8YCoJ02zkCgKjOl5RBjbbU1+Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:48.914893Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.5770","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57d04e6ab006a4fa012fc5f995f7c40c7f1837211065a44e3ecc362f46a3aee2","sha256:717bc424a3b66e28f30fdaa53394668d71a53d01ded27afed0e5f2944781f4e3"],"state_sha256":"523d20a8e2b4186eac478cf7f9de19f603a7284987fe815b8fa0da389a1bd1e4"}