{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:OOJ6EVNZEAPGZ3H7YGG5YUB3X3","short_pith_number":"pith:OOJ6EVNZ","schema_version":"1.0","canonical_sha256":"7393e255b9201e6cecffc18ddc503bbec9969961be62ef2b0307b6e75028c7c4","source":{"kind":"arxiv","id":"1905.10213","version":1},"attestation_state":"computed","paper":{"title":"The invariant subspace problem for the space of smooth functions on the real line","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Adam Przestacki, Micha{\\l} Goli\\'nski","submitted_at":"2019-05-24T13:06:47Z","abstract_excerpt":"We construct a continuous linear operator acting on the space of smooth functions on the real line without non-trivial invariant subspaces. This is a first example of such an operator acting on a Fr\\'echet space without a continuous norm. The construction is based on the ideas due to C. Read who constructed a continuous operator without non-trivial invariant subspaces on the Banach space $\\ell_1$."},"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":"1905.10213","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-05-24T13:06:47Z","cross_cats_sorted":[],"title_canon_sha256":"576d25c8a32bca82b5c2a584b4b30729e59f2e5dfdab4769ed630e12035aad84","abstract_canon_sha256":"d232da16aa3caa2aca23f8189664dddf8ec0b97f7bdedcc98b57831e7c6e82c9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:10.921156Z","signature_b64":"iz9wP6Rc9/P33q9w4Wen3iuBkKCkCFOR3MPzz+xEBGsPFCzn8NZisma9f60EEbWTVaPz0xM7k/IHMarOxYB8Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7393e255b9201e6cecffc18ddc503bbec9969961be62ef2b0307b6e75028c7c4","last_reissued_at":"2026-05-17T23:45:10.920404Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:10.920404Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The invariant subspace problem for the space of smooth functions on the real line","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Adam Przestacki, Micha{\\l} Goli\\'nski","submitted_at":"2019-05-24T13:06:47Z","abstract_excerpt":"We construct a continuous linear operator acting on the space of smooth functions on the real line without non-trivial invariant subspaces. This is a first example of such an operator acting on a Fr\\'echet space without a continuous norm. The construction is based on the ideas due to C. Read who constructed a continuous operator without non-trivial invariant subspaces on the Banach space $\\ell_1$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.10213","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":"1905.10213","created_at":"2026-05-17T23:45:10.920516+00:00"},{"alias_kind":"arxiv_version","alias_value":"1905.10213v1","created_at":"2026-05-17T23:45:10.920516+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.10213","created_at":"2026-05-17T23:45:10.920516+00:00"},{"alias_kind":"pith_short_12","alias_value":"OOJ6EVNZEAPG","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_16","alias_value":"OOJ6EVNZEAPGZ3H7","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_8","alias_value":"OOJ6EVNZ","created_at":"2026-05-18T12:33:24.271573+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/OOJ6EVNZEAPGZ3H7YGG5YUB3X3","json":"https://pith.science/pith/OOJ6EVNZEAPGZ3H7YGG5YUB3X3.json","graph_json":"https://pith.science/api/pith-number/OOJ6EVNZEAPGZ3H7YGG5YUB3X3/graph.json","events_json":"https://pith.science/api/pith-number/OOJ6EVNZEAPGZ3H7YGG5YUB3X3/events.json","paper":"https://pith.science/paper/OOJ6EVNZ"},"agent_actions":{"view_html":"https://pith.science/pith/OOJ6EVNZEAPGZ3H7YGG5YUB3X3","download_json":"https://pith.science/pith/OOJ6EVNZEAPGZ3H7YGG5YUB3X3.json","view_paper":"https://pith.science/paper/OOJ6EVNZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1905.10213&json=true","fetch_graph":"https://pith.science/api/pith-number/OOJ6EVNZEAPGZ3H7YGG5YUB3X3/graph.json","fetch_events":"https://pith.science/api/pith-number/OOJ6EVNZEAPGZ3H7YGG5YUB3X3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OOJ6EVNZEAPGZ3H7YGG5YUB3X3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OOJ6EVNZEAPGZ3H7YGG5YUB3X3/action/storage_attestation","attest_author":"https://pith.science/pith/OOJ6EVNZEAPGZ3H7YGG5YUB3X3/action/author_attestation","sign_citation":"https://pith.science/pith/OOJ6EVNZEAPGZ3H7YGG5YUB3X3/action/citation_signature","submit_replication":"https://pith.science/pith/OOJ6EVNZEAPGZ3H7YGG5YUB3X3/action/replication_record"}},"created_at":"2026-05-17T23:45:10.920516+00:00","updated_at":"2026-05-17T23:45:10.920516+00:00"}