{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:UFSHK52N2XZEAIABJGCYXJ4FO4","short_pith_number":"pith:UFSHK52N","schema_version":"1.0","canonical_sha256":"a16475774dd5f240200149858ba785772a6ea67acfe352bea07d42c04fb9686a","source":{"kind":"arxiv","id":"1407.7848","version":1},"attestation_state":"computed","paper":{"title":"On Banach spaces with the approximate hyperplane series property","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Han Ju Lee, Miguel Mart\\'in, Sun Kwang Kim, Yun Sung Choi","submitted_at":"2014-07-29T19:53:19Z","abstract_excerpt":"We present a sufficient condition for a Banach space to have the approximate hyperplane series property (AHSP) which actually covers all known examples. We use this property to get a stability result to vector-valued spaces of integrable functions. On the other hand, the study of a possible Bishop-Phelps-Bollob\\'as version of a classical result of V. Zizler leads to a new characterization of the AHSP for dual spaces in terms of $w^*$-continuous operators and other related results."},"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":"1407.7848","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-07-29T19:53:19Z","cross_cats_sorted":[],"title_canon_sha256":"408a4614cb080dbce1c430daade01198b77f90dfe2871cab562351b5fa754bc0","abstract_canon_sha256":"aa09489a04a7ddb0807a7cc4957674ce121b7f0f178417e03b543f9f8e62bd52"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:54.711347Z","signature_b64":"4YDqVvOB8ts1wBMuwaptHWv+ftJZ1+tOPNkMHmiNWhVVMnplXbodjOIIcPf/XTxUVlIM82H7M8Dgx6TN1G0eCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a16475774dd5f240200149858ba785772a6ea67acfe352bea07d42c04fb9686a","last_reissued_at":"2026-05-18T00:45:54.710833Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:54.710833Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Banach spaces with the approximate hyperplane series property","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Han Ju Lee, Miguel Mart\\'in, Sun Kwang Kim, Yun Sung Choi","submitted_at":"2014-07-29T19:53:19Z","abstract_excerpt":"We present a sufficient condition for a Banach space to have the approximate hyperplane series property (AHSP) which actually covers all known examples. We use this property to get a stability result to vector-valued spaces of integrable functions. On the other hand, the study of a possible Bishop-Phelps-Bollob\\'as version of a classical result of V. Zizler leads to a new characterization of the AHSP for dual spaces in terms of $w^*$-continuous operators and other related results."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7848","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":"1407.7848","created_at":"2026-05-18T00:45:54.710923+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.7848v1","created_at":"2026-05-18T00:45:54.710923+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.7848","created_at":"2026-05-18T00:45:54.710923+00:00"},{"alias_kind":"pith_short_12","alias_value":"UFSHK52N2XZE","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_16","alias_value":"UFSHK52N2XZEAIAB","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_8","alias_value":"UFSHK52N","created_at":"2026-05-18T12:28:52.271510+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/UFSHK52N2XZEAIABJGCYXJ4FO4","json":"https://pith.science/pith/UFSHK52N2XZEAIABJGCYXJ4FO4.json","graph_json":"https://pith.science/api/pith-number/UFSHK52N2XZEAIABJGCYXJ4FO4/graph.json","events_json":"https://pith.science/api/pith-number/UFSHK52N2XZEAIABJGCYXJ4FO4/events.json","paper":"https://pith.science/paper/UFSHK52N"},"agent_actions":{"view_html":"https://pith.science/pith/UFSHK52N2XZEAIABJGCYXJ4FO4","download_json":"https://pith.science/pith/UFSHK52N2XZEAIABJGCYXJ4FO4.json","view_paper":"https://pith.science/paper/UFSHK52N","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.7848&json=true","fetch_graph":"https://pith.science/api/pith-number/UFSHK52N2XZEAIABJGCYXJ4FO4/graph.json","fetch_events":"https://pith.science/api/pith-number/UFSHK52N2XZEAIABJGCYXJ4FO4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UFSHK52N2XZEAIABJGCYXJ4FO4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UFSHK52N2XZEAIABJGCYXJ4FO4/action/storage_attestation","attest_author":"https://pith.science/pith/UFSHK52N2XZEAIABJGCYXJ4FO4/action/author_attestation","sign_citation":"https://pith.science/pith/UFSHK52N2XZEAIABJGCYXJ4FO4/action/citation_signature","submit_replication":"https://pith.science/pith/UFSHK52N2XZEAIABJGCYXJ4FO4/action/replication_record"}},"created_at":"2026-05-18T00:45:54.710923+00:00","updated_at":"2026-05-18T00:45:54.710923+00:00"}