{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:UYIXNVESI5262NBPKR42XVJPNJ","short_pith_number":"pith:UYIXNVES","schema_version":"1.0","canonical_sha256":"a61176d4924775ed342f5479abd52f6a44c920a6bddb44b99ce6419ec868c374","source":{"kind":"arxiv","id":"1112.2411","version":1},"attestation_state":"computed","paper":{"title":"Subsequential minimality in Gowers and Maurey spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Thomas Schlumprecht, Valentin Ferenczi","submitted_at":"2011-12-11T22:55:15Z","abstract_excerpt":"We define block sequences $(x_n)$ in every block subspace of a variant of the space of Gowers and Maurey so that the map $x_{2n-1}\\mapsto x_{2n} $ extends to an isomorphism. This implies the existence of a subsequentially minimal HI space, which solves a question in \\cite{FR}."},"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":"1112.2411","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-12-11T22:55:15Z","cross_cats_sorted":[],"title_canon_sha256":"2ea2b117489075ad92a63ffb56e890d60c621403aebd63ac24759ccb1aee4b07","abstract_canon_sha256":"1e86c1a7b2e9fdf0cbbf8a14216a09540087ea6b6292f2124cb69db84c9a8c16"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:57:54.013343Z","signature_b64":"GLt7wJ1h8RM/mTXPq+2fw+G15l45jrT0f2ZI6yH6TN62SQwR0Uj6KXxHOyrdR0Z3H6fXmvCfH7bEhALDasiXBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a61176d4924775ed342f5479abd52f6a44c920a6bddb44b99ce6419ec868c374","last_reissued_at":"2026-05-18T02:57:54.012790Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:57:54.012790Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Subsequential minimality in Gowers and Maurey spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Thomas Schlumprecht, Valentin Ferenczi","submitted_at":"2011-12-11T22:55:15Z","abstract_excerpt":"We define block sequences $(x_n)$ in every block subspace of a variant of the space of Gowers and Maurey so that the map $x_{2n-1}\\mapsto x_{2n} $ extends to an isomorphism. This implies the existence of a subsequentially minimal HI space, which solves a question in \\cite{FR}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.2411","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":"1112.2411","created_at":"2026-05-18T02:57:54.012865+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.2411v1","created_at":"2026-05-18T02:57:54.012865+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.2411","created_at":"2026-05-18T02:57:54.012865+00:00"},{"alias_kind":"pith_short_12","alias_value":"UYIXNVESI526","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_16","alias_value":"UYIXNVESI5262NBP","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_8","alias_value":"UYIXNVES","created_at":"2026-05-18T12:26:42.757692+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/UYIXNVESI5262NBPKR42XVJPNJ","json":"https://pith.science/pith/UYIXNVESI5262NBPKR42XVJPNJ.json","graph_json":"https://pith.science/api/pith-number/UYIXNVESI5262NBPKR42XVJPNJ/graph.json","events_json":"https://pith.science/api/pith-number/UYIXNVESI5262NBPKR42XVJPNJ/events.json","paper":"https://pith.science/paper/UYIXNVES"},"agent_actions":{"view_html":"https://pith.science/pith/UYIXNVESI5262NBPKR42XVJPNJ","download_json":"https://pith.science/pith/UYIXNVESI5262NBPKR42XVJPNJ.json","view_paper":"https://pith.science/paper/UYIXNVES","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.2411&json=true","fetch_graph":"https://pith.science/api/pith-number/UYIXNVESI5262NBPKR42XVJPNJ/graph.json","fetch_events":"https://pith.science/api/pith-number/UYIXNVESI5262NBPKR42XVJPNJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UYIXNVESI5262NBPKR42XVJPNJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UYIXNVESI5262NBPKR42XVJPNJ/action/storage_attestation","attest_author":"https://pith.science/pith/UYIXNVESI5262NBPKR42XVJPNJ/action/author_attestation","sign_citation":"https://pith.science/pith/UYIXNVESI5262NBPKR42XVJPNJ/action/citation_signature","submit_replication":"https://pith.science/pith/UYIXNVESI5262NBPKR42XVJPNJ/action/replication_record"}},"created_at":"2026-05-18T02:57:54.012865+00:00","updated_at":"2026-05-18T02:57:54.012865+00:00"}