{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:VZUZPP7OF5DL2GXFSFZS4Y4ZYY","short_pith_number":"pith:VZUZPP7O","schema_version":"1.0","canonical_sha256":"ae6997bfee2f46bd1ae591732e6399c6301c290b7e303bea721132747805a1fe","source":{"kind":"arxiv","id":"1410.3040","version":1},"attestation_state":"computed","paper":{"title":"Each Random Variable in separable Banach Space belongs to the Domain of Definition of some inverse to compact linear non-random operator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"E.Ostrovsky, L.Sirota","submitted_at":"2014-10-12T00:52:04Z","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."},"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":"1410.3040","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-10-12T00:52:04Z","cross_cats_sorted":[],"title_canon_sha256":"9dc2f7c7480cc4c37e6ee21d1c700b4f8ed36e0b678b7310fdd6d0bfd9899c07","abstract_canon_sha256":"ee22f62d2eb342525aa8c1bc8c0ddd837d89d8030ef5ed1b69f87857eacbef76"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:40:17.193132Z","signature_b64":"C+/qPeCdQKz6BdxzURtOMZ9ERKVRbPWEhWtq2HQOt1BXWbi2WJHlrFs8uanSS00VLsXvwcimB+THCBOEFhfSDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ae6997bfee2f46bd1ae591732e6399c6301c290b7e303bea721132747805a1fe","last_reissued_at":"2026-05-18T02:40:17.192690Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:40:17.192690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Each Random Variable in separable Banach Space belongs to the Domain of Definition of some inverse to compact linear non-random operator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"E.Ostrovsky, L.Sirota","submitted_at":"2014-10-12T00:52:04Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.3040","kind":"arxiv","version":1},"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":"1410.3040","created_at":"2026-05-18T02:40:17.192758+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.3040v1","created_at":"2026-05-18T02:40:17.192758+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.3040","created_at":"2026-05-18T02:40:17.192758+00:00"},{"alias_kind":"pith_short_12","alias_value":"VZUZPP7OF5DL","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_16","alias_value":"VZUZPP7OF5DL2GXF","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_8","alias_value":"VZUZPP7O","created_at":"2026-05-18T12:28:54.890064+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/VZUZPP7OF5DL2GXFSFZS4Y4ZYY","json":"https://pith.science/pith/VZUZPP7OF5DL2GXFSFZS4Y4ZYY.json","graph_json":"https://pith.science/api/pith-number/VZUZPP7OF5DL2GXFSFZS4Y4ZYY/graph.json","events_json":"https://pith.science/api/pith-number/VZUZPP7OF5DL2GXFSFZS4Y4ZYY/events.json","paper":"https://pith.science/paper/VZUZPP7O"},"agent_actions":{"view_html":"https://pith.science/pith/VZUZPP7OF5DL2GXFSFZS4Y4ZYY","download_json":"https://pith.science/pith/VZUZPP7OF5DL2GXFSFZS4Y4ZYY.json","view_paper":"https://pith.science/paper/VZUZPP7O","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.3040&json=true","fetch_graph":"https://pith.science/api/pith-number/VZUZPP7OF5DL2GXFSFZS4Y4ZYY/graph.json","fetch_events":"https://pith.science/api/pith-number/VZUZPP7OF5DL2GXFSFZS4Y4ZYY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VZUZPP7OF5DL2GXFSFZS4Y4ZYY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VZUZPP7OF5DL2GXFSFZS4Y4ZYY/action/storage_attestation","attest_author":"https://pith.science/pith/VZUZPP7OF5DL2GXFSFZS4Y4ZYY/action/author_attestation","sign_citation":"https://pith.science/pith/VZUZPP7OF5DL2GXFSFZS4Y4ZYY/action/citation_signature","submit_replication":"https://pith.science/pith/VZUZPP7OF5DL2GXFSFZS4Y4ZYY/action/replication_record"}},"created_at":"2026-05-18T02:40:17.192758+00:00","updated_at":"2026-05-18T02:40:17.192758+00:00"}