{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VZUZPP7OF5DL2GXFSFZS4Y4ZYY","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":"ee22f62d2eb342525aa8c1bc8c0ddd837d89d8030ef5ed1b69f87857eacbef76","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-10-12T00:52:04Z","title_canon_sha256":"9dc2f7c7480cc4c37e6ee21d1c700b4f8ed36e0b678b7310fdd6d0bfd9899c07"},"schema_version":"1.0","source":{"id":"1410.3040","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.3040","created_at":"2026-05-18T02:40:17Z"},{"alias_kind":"arxiv_version","alias_value":"1410.3040v1","created_at":"2026-05-18T02:40:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.3040","created_at":"2026-05-18T02:40:17Z"},{"alias_kind":"pith_short_12","alias_value":"VZUZPP7OF5DL","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VZUZPP7OF5DL2GXF","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VZUZPP7O","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:1746318f5b8fd05d0fc6b453ee925daad05de3ba49e0f27c7cedfd0ef72fd28a","target":"graph","created_at":"2026-05-18T02:40:17Z","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 give in this short report a very simple proof that arbitrary random variable with Borelian distribution in separable Banach space belongs with probability one to a pre-image of some linear compact non-random operator.","authors_text":"E.Ostrovsky, L.Sirota","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-10-12T00:52:04Z","title":"Each Random Variable in separable Banach Space belongs to the Domain of Definition of some inverse to compact linear non-random operator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.3040","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":"sha256:4235865d9d5025c23ac664b0774b025e990f4f39db5af6e9c602af5734c7f4dc","target":"record","created_at":"2026-05-18T02:40:17Z","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":"ee22f62d2eb342525aa8c1bc8c0ddd837d89d8030ef5ed1b69f87857eacbef76","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-10-12T00:52:04Z","title_canon_sha256":"9dc2f7c7480cc4c37e6ee21d1c700b4f8ed36e0b678b7310fdd6d0bfd9899c07"},"schema_version":"1.0","source":{"id":"1410.3040","kind":"arxiv","version":1}},"canonical_sha256":"ae6997bfee2f46bd1ae591732e6399c6301c290b7e303bea721132747805a1fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae6997bfee2f46bd1ae591732e6399c6301c290b7e303bea721132747805a1fe","first_computed_at":"2026-05-18T02:40:17.192690Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:40:17.192690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C+/qPeCdQKz6BdxzURtOMZ9ERKVRbPWEhWtq2HQOt1BXWbi2WJHlrFs8uanSS00VLsXvwcimB+THCBOEFhfSDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:40:17.193132Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.3040","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4235865d9d5025c23ac664b0774b025e990f4f39db5af6e9c602af5734c7f4dc","sha256:1746318f5b8fd05d0fc6b453ee925daad05de3ba49e0f27c7cedfd0ef72fd28a"],"state_sha256":"fbb8956467659e75f36d8fd3beab1ef757626d01419e7031e447cfb20606bc9a"}