{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:SOZP2ZWDJFOPKBV6UFI76DHWDU","short_pith_number":"pith:SOZP2ZWD","schema_version":"1.0","canonical_sha256":"93b2fd66c3495cf506bea151ff0cf61d2f05e549e1c47753be13ef809940006c","source":{"kind":"arxiv","id":"1604.00618","version":1},"attestation_state":"computed","paper":{"title":"The Bishop-Phelps-Bollob\\'as property for compact operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Domingo Garcia, Manuel Maestre, Miguel Martin, Sheldon Dantas","submitted_at":"2016-04-03T09:58:38Z","abstract_excerpt":"We study the Bishop-Phelps-Bollob\\'as property (BPBp for short) for compact operators. We present some abstract techniques which allows to carry the BPBp for compact operators from sequence spaces to function spaces. As main applications, we prove the following results. Let $X$, $Y$ be Banach spaces. If $(c_0,Y)$ has the BPBp for compact operators, then so do $(C_0(L),Y)$ for every locally compact Hausdorff topological space $L$ and $(X,Y)$ whenever $X^*$ is isometrically isomorphic to $\\ell_1$. If $X^*$ has the Radon-Nikod\\'ym property and $(\\ell_1(X),Y)$ has the BPBp for compact operators, t"},"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":"1604.00618","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-04-03T09:58:38Z","cross_cats_sorted":[],"title_canon_sha256":"7399f102922760a997e7be7968c90374e52413198edb43f1dbc12afaa74454ee","abstract_canon_sha256":"e1ce933c140826ca4db6ddc63ddcc6fe031497729a50293ca490eee329858f97"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:48.907516Z","signature_b64":"8d7hj2DDQPKdQzL1eVvleVm7er5PsYE3NI7ixmDFt1WdJbFu2ep/yZYAg2aJzFCAR7w/numG5KX4kD2iac7iCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93b2fd66c3495cf506bea151ff0cf61d2f05e549e1c47753be13ef809940006c","last_reissued_at":"2026-05-18T01:17:48.906920Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:48.906920Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Bishop-Phelps-Bollob\\'as property for compact operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Domingo Garcia, Manuel Maestre, Miguel Martin, Sheldon Dantas","submitted_at":"2016-04-03T09:58:38Z","abstract_excerpt":"We study the Bishop-Phelps-Bollob\\'as property (BPBp for short) for compact operators. We present some abstract techniques which allows to carry the BPBp for compact operators from sequence spaces to function spaces. As main applications, we prove the following results. Let $X$, $Y$ be Banach spaces. If $(c_0,Y)$ has the BPBp for compact operators, then so do $(C_0(L),Y)$ for every locally compact Hausdorff topological space $L$ and $(X,Y)$ whenever $X^*$ is isometrically isomorphic to $\\ell_1$. If $X^*$ has the Radon-Nikod\\'ym property and $(\\ell_1(X),Y)$ has the BPBp for compact operators, t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.00618","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":"1604.00618","created_at":"2026-05-18T01:17:48.907020+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.00618v1","created_at":"2026-05-18T01:17:48.907020+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.00618","created_at":"2026-05-18T01:17:48.907020+00:00"},{"alias_kind":"pith_short_12","alias_value":"SOZP2ZWDJFOP","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_16","alias_value":"SOZP2ZWDJFOPKBV6","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_8","alias_value":"SOZP2ZWD","created_at":"2026-05-18T12:30:44.179134+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/SOZP2ZWDJFOPKBV6UFI76DHWDU","json":"https://pith.science/pith/SOZP2ZWDJFOPKBV6UFI76DHWDU.json","graph_json":"https://pith.science/api/pith-number/SOZP2ZWDJFOPKBV6UFI76DHWDU/graph.json","events_json":"https://pith.science/api/pith-number/SOZP2ZWDJFOPKBV6UFI76DHWDU/events.json","paper":"https://pith.science/paper/SOZP2ZWD"},"agent_actions":{"view_html":"https://pith.science/pith/SOZP2ZWDJFOPKBV6UFI76DHWDU","download_json":"https://pith.science/pith/SOZP2ZWDJFOPKBV6UFI76DHWDU.json","view_paper":"https://pith.science/paper/SOZP2ZWD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.00618&json=true","fetch_graph":"https://pith.science/api/pith-number/SOZP2ZWDJFOPKBV6UFI76DHWDU/graph.json","fetch_events":"https://pith.science/api/pith-number/SOZP2ZWDJFOPKBV6UFI76DHWDU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SOZP2ZWDJFOPKBV6UFI76DHWDU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SOZP2ZWDJFOPKBV6UFI76DHWDU/action/storage_attestation","attest_author":"https://pith.science/pith/SOZP2ZWDJFOPKBV6UFI76DHWDU/action/author_attestation","sign_citation":"https://pith.science/pith/SOZP2ZWDJFOPKBV6UFI76DHWDU/action/citation_signature","submit_replication":"https://pith.science/pith/SOZP2ZWDJFOPKBV6UFI76DHWDU/action/replication_record"}},"created_at":"2026-05-18T01:17:48.907020+00:00","updated_at":"2026-05-18T01:17:48.907020+00:00"}