{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:MYY5T44LRDO7JDYLEO3FWPAUZL","short_pith_number":"pith:MYY5T44L","schema_version":"1.0","canonical_sha256":"6631d9f38b88ddf48f0b23b65b3c14cac1eeb8b1c35995ae2bc1c6a8fbe2b856","source":{"kind":"arxiv","id":"1703.07896","version":2},"attestation_state":"computed","paper":{"title":"Lipschitz-free spaces over compact subsets of superreflexive spaces are weakly sequentially complete","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Eva Perneck\\'a, Tomasz Kochanek","submitted_at":"2017-03-23T00:23:12Z","abstract_excerpt":"Let $M$ be a compact subset of a superreflexive Banach space. We prove that the Lipschitz-free space $\\mathcal{F}(M)$, the predual of the Banach space of Lipschitz functions on $M$, has the Pe{\\l}czy\\'nski's property ($V^\\ast$). As a consequence, the Lipschitz-free space $\\mathcal{F}(M)$ is weakly sequentially complete."},"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":"1703.07896","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-03-23T00:23:12Z","cross_cats_sorted":[],"title_canon_sha256":"0a17be7d0e8fbe70e2ed99e3512e240534c13009a328ea710b9258dbebfde6b0","abstract_canon_sha256":"481f746c1c93f632d0772a638ae782dff7bdcdc12a0c6fd2933c0327da9ce0f3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:56.092429Z","signature_b64":"LUPwvAKYCwBaXVMx1PZxAnbbvitTSPWPXBGFymTKhoWX+uHXQGgVqf/UKpPQvZa8EAxXk+Ks5K4AJT50cfMeAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6631d9f38b88ddf48f0b23b65b3c14cac1eeb8b1c35995ae2bc1c6a8fbe2b856","last_reissued_at":"2026-05-18T00:09:56.091774Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:56.091774Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lipschitz-free spaces over compact subsets of superreflexive spaces are weakly sequentially complete","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Eva Perneck\\'a, Tomasz Kochanek","submitted_at":"2017-03-23T00:23:12Z","abstract_excerpt":"Let $M$ be a compact subset of a superreflexive Banach space. We prove that the Lipschitz-free space $\\mathcal{F}(M)$, the predual of the Banach space of Lipschitz functions on $M$, has the Pe{\\l}czy\\'nski's property ($V^\\ast$). As a consequence, the Lipschitz-free space $\\mathcal{F}(M)$ is weakly sequentially complete."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.07896","kind":"arxiv","version":2},"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":"1703.07896","created_at":"2026-05-18T00:09:56.091862+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.07896v2","created_at":"2026-05-18T00:09:56.091862+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.07896","created_at":"2026-05-18T00:09:56.091862+00:00"},{"alias_kind":"pith_short_12","alias_value":"MYY5T44LRDO7","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_16","alias_value":"MYY5T44LRDO7JDYL","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_8","alias_value":"MYY5T44L","created_at":"2026-05-18T12:31:31.346846+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/MYY5T44LRDO7JDYLEO3FWPAUZL","json":"https://pith.science/pith/MYY5T44LRDO7JDYLEO3FWPAUZL.json","graph_json":"https://pith.science/api/pith-number/MYY5T44LRDO7JDYLEO3FWPAUZL/graph.json","events_json":"https://pith.science/api/pith-number/MYY5T44LRDO7JDYLEO3FWPAUZL/events.json","paper":"https://pith.science/paper/MYY5T44L"},"agent_actions":{"view_html":"https://pith.science/pith/MYY5T44LRDO7JDYLEO3FWPAUZL","download_json":"https://pith.science/pith/MYY5T44LRDO7JDYLEO3FWPAUZL.json","view_paper":"https://pith.science/paper/MYY5T44L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.07896&json=true","fetch_graph":"https://pith.science/api/pith-number/MYY5T44LRDO7JDYLEO3FWPAUZL/graph.json","fetch_events":"https://pith.science/api/pith-number/MYY5T44LRDO7JDYLEO3FWPAUZL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MYY5T44LRDO7JDYLEO3FWPAUZL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MYY5T44LRDO7JDYLEO3FWPAUZL/action/storage_attestation","attest_author":"https://pith.science/pith/MYY5T44LRDO7JDYLEO3FWPAUZL/action/author_attestation","sign_citation":"https://pith.science/pith/MYY5T44LRDO7JDYLEO3FWPAUZL/action/citation_signature","submit_replication":"https://pith.science/pith/MYY5T44LRDO7JDYLEO3FWPAUZL/action/replication_record"}},"created_at":"2026-05-18T00:09:56.091862+00:00","updated_at":"2026-05-18T00:09:56.091862+00:00"}