{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:QBKBIKSS6NS322ITCIXSTHRI7J","short_pith_number":"pith:QBKBIKSS","schema_version":"1.0","canonical_sha256":"8054142a52f365bd6913122f299e28fa69db86fb9c1ebd500c0f281afeba2a59","source":{"kind":"arxiv","id":"1611.08564","version":1},"attestation_state":"computed","paper":{"title":"Existence of common hypercyclic subspaces for the derivative operator and the translation operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.DS","authors_text":"Quentin Menet","submitted_at":"2016-11-25T19:24:06Z","abstract_excerpt":"We show that the non-zero multiples of the derivative operator and the non-zero multiples of non-trivial translation operators on the space of entire functions share a common hypercyclic subspace, i.e. a closed infinite-dimensional subspace in which each non-zero vector has a dense orbit for each of these operators."},"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":"1611.08564","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-11-25T19:24:06Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"23ffa23ba23ae13c264fd987fd8f6ad6d1df57c903cf7e51126971107bb7681e","abstract_canon_sha256":"b86fa0bf877abfd9565a3aeca8984bd179139be8b414e1cafcda74ed90534368"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:38.602531Z","signature_b64":"D3IMZky2gJ1aQeDBTuT15l3uI/9IdCTnLh/c2tuBZFvLEChTCdi6BmT63YdBkzHOFuWBWloroYK9BRWaLZUEDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8054142a52f365bd6913122f299e28fa69db86fb9c1ebd500c0f281afeba2a59","last_reissued_at":"2026-05-18T00:56:38.601693Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:38.601693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Existence of common hypercyclic subspaces for the derivative operator and the translation operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.DS","authors_text":"Quentin Menet","submitted_at":"2016-11-25T19:24:06Z","abstract_excerpt":"We show that the non-zero multiples of the derivative operator and the non-zero multiples of non-trivial translation operators on the space of entire functions share a common hypercyclic subspace, i.e. a closed infinite-dimensional subspace in which each non-zero vector has a dense orbit for each of these operators."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.08564","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":"1611.08564","created_at":"2026-05-18T00:56:38.601830+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.08564v1","created_at":"2026-05-18T00:56:38.601830+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.08564","created_at":"2026-05-18T00:56:38.601830+00:00"},{"alias_kind":"pith_short_12","alias_value":"QBKBIKSS6NS3","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_16","alias_value":"QBKBIKSS6NS322IT","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_8","alias_value":"QBKBIKSS","created_at":"2026-05-18T12:30:39.010887+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/QBKBIKSS6NS322ITCIXSTHRI7J","json":"https://pith.science/pith/QBKBIKSS6NS322ITCIXSTHRI7J.json","graph_json":"https://pith.science/api/pith-number/QBKBIKSS6NS322ITCIXSTHRI7J/graph.json","events_json":"https://pith.science/api/pith-number/QBKBIKSS6NS322ITCIXSTHRI7J/events.json","paper":"https://pith.science/paper/QBKBIKSS"},"agent_actions":{"view_html":"https://pith.science/pith/QBKBIKSS6NS322ITCIXSTHRI7J","download_json":"https://pith.science/pith/QBKBIKSS6NS322ITCIXSTHRI7J.json","view_paper":"https://pith.science/paper/QBKBIKSS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.08564&json=true","fetch_graph":"https://pith.science/api/pith-number/QBKBIKSS6NS322ITCIXSTHRI7J/graph.json","fetch_events":"https://pith.science/api/pith-number/QBKBIKSS6NS322ITCIXSTHRI7J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QBKBIKSS6NS322ITCIXSTHRI7J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QBKBIKSS6NS322ITCIXSTHRI7J/action/storage_attestation","attest_author":"https://pith.science/pith/QBKBIKSS6NS322ITCIXSTHRI7J/action/author_attestation","sign_citation":"https://pith.science/pith/QBKBIKSS6NS322ITCIXSTHRI7J/action/citation_signature","submit_replication":"https://pith.science/pith/QBKBIKSS6NS322ITCIXSTHRI7J/action/replication_record"}},"created_at":"2026-05-18T00:56:38.601830+00:00","updated_at":"2026-05-18T00:56:38.601830+00:00"}