{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MYY5T44LRDO7JDYLEO3FWPAUZL","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"481f746c1c93f632d0772a638ae782dff7bdcdc12a0c6fd2933c0327da9ce0f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-03-23T00:23:12Z","title_canon_sha256":"0a17be7d0e8fbe70e2ed99e3512e240534c13009a328ea710b9258dbebfde6b0"},"schema_version":"1.0","source":{"id":"1703.07896","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.07896","created_at":"2026-05-18T00:09:56Z"},{"alias_kind":"arxiv_version","alias_value":"1703.07896v2","created_at":"2026-05-18T00:09:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.07896","created_at":"2026-05-18T00:09:56Z"},{"alias_kind":"pith_short_12","alias_value":"MYY5T44LRDO7","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MYY5T44LRDO7JDYL","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MYY5T44L","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:6aa513b8652d7407e432e3ea186d7cccd16453bbeab702111f7840152555450e","target":"graph","created_at":"2026-05-18T00:09:56Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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.","authors_text":"Eva Perneck\\'a, Tomasz Kochanek","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-03-23T00:23:12Z","title":"Lipschitz-free spaces over compact subsets of superreflexive spaces are weakly sequentially complete"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.07896","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:f43afa50eca1cf7dad2fe7875a0bbc20dcd5bd14ee85c781f319b2a105e5adc1","target":"record","created_at":"2026-05-18T00:09:56Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"481f746c1c93f632d0772a638ae782dff7bdcdc12a0c6fd2933c0327da9ce0f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-03-23T00:23:12Z","title_canon_sha256":"0a17be7d0e8fbe70e2ed99e3512e240534c13009a328ea710b9258dbebfde6b0"},"schema_version":"1.0","source":{"id":"1703.07896","kind":"arxiv","version":2}},"canonical_sha256":"6631d9f38b88ddf48f0b23b65b3c14cac1eeb8b1c35995ae2bc1c6a8fbe2b856","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6631d9f38b88ddf48f0b23b65b3c14cac1eeb8b1c35995ae2bc1c6a8fbe2b856","first_computed_at":"2026-05-18T00:09:56.091774Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:56.091774Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LUPwvAKYCwBaXVMx1PZxAnbbvitTSPWPXBGFymTKhoWX+uHXQGgVqf/UKpPQvZa8EAxXk+Ks5K4AJT50cfMeAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:56.092429Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.07896","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f43afa50eca1cf7dad2fe7875a0bbc20dcd5bd14ee85c781f319b2a105e5adc1","sha256:6aa513b8652d7407e432e3ea186d7cccd16453bbeab702111f7840152555450e"],"state_sha256":"b419d30d8865f299fb7f9dd3822d2cdefb630f7962e0752733b2050711c00b56"}