{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:QRAQ23ZC4Y3234ASKL4HVV2LOL","short_pith_number":"pith:QRAQ23ZC","schema_version":"1.0","canonical_sha256":"84410d6f22e637adf01252f87ad74b72eb119a894a8a0f26d9ea2b5f5e4e8993","source":{"kind":"arxiv","id":"1510.07921","version":1},"attestation_state":"computed","paper":{"title":"Compact convex sets that admit a lower semicontinuous strictly convex function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"J. Orihuela, L. Garc\\'ia-Lirola, M. Raja","submitted_at":"2015-10-27T14:43:10Z","abstract_excerpt":"We study the class of compact convex subsets of a topological vector space which admits a strictly convex and lower semicontinuous function. We prove that such a compact set is embeddable in a strictly convex dual Banach space endowed with its weak$^*$ topology. In addition, we find exposed points where a strictly convex lower semicontinuous function is continuous."},"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":"1510.07921","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-10-27T14:43:10Z","cross_cats_sorted":[],"title_canon_sha256":"83e8ff26c68cc510229a881ae26a4ed4e21d55d5d34b3dd9bcf59fb4a35872a4","abstract_canon_sha256":"55e915a146e9129b5d8c3761602b4990418c27440d44a15986122d9370c24b1a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:28:44.993185Z","signature_b64":"h9llgU2BqEmbnWoAvvCo9Ow2lWrOzPXL7UFyNVCkoU+3uSPAOjQQDXE9NZnz9cfdK51PFoGsUPsws2GgduKtBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84410d6f22e637adf01252f87ad74b72eb119a894a8a0f26d9ea2b5f5e4e8993","last_reissued_at":"2026-05-18T01:28:44.992669Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:28:44.992669Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Compact convex sets that admit a lower semicontinuous strictly convex function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"J. Orihuela, L. Garc\\'ia-Lirola, M. Raja","submitted_at":"2015-10-27T14:43:10Z","abstract_excerpt":"We study the class of compact convex subsets of a topological vector space which admits a strictly convex and lower semicontinuous function. We prove that such a compact set is embeddable in a strictly convex dual Banach space endowed with its weak$^*$ topology. In addition, we find exposed points where a strictly convex lower semicontinuous function is continuous."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.07921","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":"1510.07921","created_at":"2026-05-18T01:28:44.992744+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.07921v1","created_at":"2026-05-18T01:28:44.992744+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.07921","created_at":"2026-05-18T01:28:44.992744+00:00"},{"alias_kind":"pith_short_12","alias_value":"QRAQ23ZC4Y32","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_16","alias_value":"QRAQ23ZC4Y3234AS","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_8","alias_value":"QRAQ23ZC","created_at":"2026-05-18T12:29:37.295048+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/QRAQ23ZC4Y3234ASKL4HVV2LOL","json":"https://pith.science/pith/QRAQ23ZC4Y3234ASKL4HVV2LOL.json","graph_json":"https://pith.science/api/pith-number/QRAQ23ZC4Y3234ASKL4HVV2LOL/graph.json","events_json":"https://pith.science/api/pith-number/QRAQ23ZC4Y3234ASKL4HVV2LOL/events.json","paper":"https://pith.science/paper/QRAQ23ZC"},"agent_actions":{"view_html":"https://pith.science/pith/QRAQ23ZC4Y3234ASKL4HVV2LOL","download_json":"https://pith.science/pith/QRAQ23ZC4Y3234ASKL4HVV2LOL.json","view_paper":"https://pith.science/paper/QRAQ23ZC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.07921&json=true","fetch_graph":"https://pith.science/api/pith-number/QRAQ23ZC4Y3234ASKL4HVV2LOL/graph.json","fetch_events":"https://pith.science/api/pith-number/QRAQ23ZC4Y3234ASKL4HVV2LOL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QRAQ23ZC4Y3234ASKL4HVV2LOL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QRAQ23ZC4Y3234ASKL4HVV2LOL/action/storage_attestation","attest_author":"https://pith.science/pith/QRAQ23ZC4Y3234ASKL4HVV2LOL/action/author_attestation","sign_citation":"https://pith.science/pith/QRAQ23ZC4Y3234ASKL4HVV2LOL/action/citation_signature","submit_replication":"https://pith.science/pith/QRAQ23ZC4Y3234ASKL4HVV2LOL/action/replication_record"}},"created_at":"2026-05-18T01:28:44.992744+00:00","updated_at":"2026-05-18T01:28:44.992744+00:00"}