{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:QIQOLJZKVTAYVF7J4QLM3P66OT","short_pith_number":"pith:QIQOLJZK","schema_version":"1.0","canonical_sha256":"8220e5a72aacc18a97e9e416cdbfde74f27baedbc7c5f0123f3b20e5d5f175bf","source":{"kind":"arxiv","id":"1907.00404","version":1},"attestation_state":"computed","paper":{"title":"Topological linear spaces of formal linear sums and continuous linear operators","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.RA","authors_text":"Nikolay Dubrovin","submitted_at":"2019-06-30T16:02:04Z","abstract_excerpt":"The rings of linear continuous operators on the topological spaces of $\\mathfrak{G}$-zero maps were described, where $\\mathfrak{G}$ is a filter on a set with an involution. This applies to modules of formal series with well ordered support over left ordered groups."},"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":"1907.00404","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.RA","submitted_at":"2019-06-30T16:02:04Z","cross_cats_sorted":["math.OA"],"title_canon_sha256":"9e8ddc7b57d1ec143892a0d0bfb37f1377ad24b354205ac64715eab5dc47b722","abstract_canon_sha256":"bca4c91fe1c109ab40f0b291c01c4331fec19f308e430c592043e7477087ea21"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:51.839793Z","signature_b64":"utttbLyylSBRuUwTWkr+/3SQKYkWpH10IC9fBVaiuWHjxJ2TB9F5g2E+iBVIOevp+3DiXsvoFyU8zXUv1TLrBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8220e5a72aacc18a97e9e416cdbfde74f27baedbc7c5f0123f3b20e5d5f175bf","last_reissued_at":"2026-05-17T23:41:51.839116Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:51.839116Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Topological linear spaces of formal linear sums and continuous linear operators","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.RA","authors_text":"Nikolay Dubrovin","submitted_at":"2019-06-30T16:02:04Z","abstract_excerpt":"The rings of linear continuous operators on the topological spaces of $\\mathfrak{G}$-zero maps were described, where $\\mathfrak{G}$ is a filter on a set with an involution. This applies to modules of formal series with well ordered support over left ordered groups."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.00404","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":"1907.00404","created_at":"2026-05-17T23:41:51.839219+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.00404v1","created_at":"2026-05-17T23:41:51.839219+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.00404","created_at":"2026-05-17T23:41:51.839219+00:00"},{"alias_kind":"pith_short_12","alias_value":"QIQOLJZKVTAY","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_16","alias_value":"QIQOLJZKVTAYVF7J","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_8","alias_value":"QIQOLJZK","created_at":"2026-05-18T12:33:27.125529+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/QIQOLJZKVTAYVF7J4QLM3P66OT","json":"https://pith.science/pith/QIQOLJZKVTAYVF7J4QLM3P66OT.json","graph_json":"https://pith.science/api/pith-number/QIQOLJZKVTAYVF7J4QLM3P66OT/graph.json","events_json":"https://pith.science/api/pith-number/QIQOLJZKVTAYVF7J4QLM3P66OT/events.json","paper":"https://pith.science/paper/QIQOLJZK"},"agent_actions":{"view_html":"https://pith.science/pith/QIQOLJZKVTAYVF7J4QLM3P66OT","download_json":"https://pith.science/pith/QIQOLJZKVTAYVF7J4QLM3P66OT.json","view_paper":"https://pith.science/paper/QIQOLJZK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.00404&json=true","fetch_graph":"https://pith.science/api/pith-number/QIQOLJZKVTAYVF7J4QLM3P66OT/graph.json","fetch_events":"https://pith.science/api/pith-number/QIQOLJZKVTAYVF7J4QLM3P66OT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QIQOLJZKVTAYVF7J4QLM3P66OT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QIQOLJZKVTAYVF7J4QLM3P66OT/action/storage_attestation","attest_author":"https://pith.science/pith/QIQOLJZKVTAYVF7J4QLM3P66OT/action/author_attestation","sign_citation":"https://pith.science/pith/QIQOLJZKVTAYVF7J4QLM3P66OT/action/citation_signature","submit_replication":"https://pith.science/pith/QIQOLJZKVTAYVF7J4QLM3P66OT/action/replication_record"}},"created_at":"2026-05-17T23:41:51.839219+00:00","updated_at":"2026-05-17T23:41:51.839219+00:00"}