{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:7E4XT4IUTHEQ7PXSLI3IFRCYJX","short_pith_number":"pith:7E4XT4IU","schema_version":"1.0","canonical_sha256":"f93979f11499c90fbef25a3682c4584dfa33a2fa44ddabdbecb1bc95315359cf","source":{"kind":"arxiv","id":"1401.2653","version":2},"attestation_state":"computed","paper":{"title":"Equivariant absolute extensor property on hyperspaces of convex sets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GN","math.MG"],"primary_cat":"math.FA","authors_text":"Natalia Jonard-P\\'erez","submitted_at":"2014-01-12T18:05:54Z","abstract_excerpt":"Let G be a compact group acting on a Banach space L by means of linear isometries. The action of G on L induces a natural continuous action on cc(L), the hyperspace of all compact convex subsets of L endowed with the Hausdorff metric topology. The main result of this paper states that the G-space cc(L) is a G-AE. Under some extra assumptions, this result can be extended to CB(L), the hyperspace of all closed and bounded convex subsets of L."},"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":"1401.2653","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-01-12T18:05:54Z","cross_cats_sorted":["math.GN","math.MG"],"title_canon_sha256":"bba48a3021d8e2dbad7fc9e081e4e861906754477fbe39dc4ce852e1a5a95216","abstract_canon_sha256":"dff665587cac014f2cc3a96567e8b38bdc2f27dd44cb1145933bfeaa8397ffa9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:59:47.358438Z","signature_b64":"7u6YQYbZENtkjrw6lMTh6VfvYjYrf4s5+RGDSch5auOGJV9VnpNV9r6Vn8j0ziX/U+F57vL0+jz05PEmbyXdCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f93979f11499c90fbef25a3682c4584dfa33a2fa44ddabdbecb1bc95315359cf","last_reissued_at":"2026-05-18T02:59:47.357574Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:59:47.357574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Equivariant absolute extensor property on hyperspaces of convex sets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GN","math.MG"],"primary_cat":"math.FA","authors_text":"Natalia Jonard-P\\'erez","submitted_at":"2014-01-12T18:05:54Z","abstract_excerpt":"Let G be a compact group acting on a Banach space L by means of linear isometries. The action of G on L induces a natural continuous action on cc(L), the hyperspace of all compact convex subsets of L endowed with the Hausdorff metric topology. The main result of this paper states that the G-space cc(L) is a G-AE. Under some extra assumptions, this result can be extended to CB(L), the hyperspace of all closed and bounded convex subsets of L."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2653","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":"1401.2653","created_at":"2026-05-18T02:59:47.357717+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.2653v2","created_at":"2026-05-18T02:59:47.357717+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2653","created_at":"2026-05-18T02:59:47.357717+00:00"},{"alias_kind":"pith_short_12","alias_value":"7E4XT4IUTHEQ","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_16","alias_value":"7E4XT4IUTHEQ7PXS","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_8","alias_value":"7E4XT4IU","created_at":"2026-05-18T12:28:16.859392+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/7E4XT4IUTHEQ7PXSLI3IFRCYJX","json":"https://pith.science/pith/7E4XT4IUTHEQ7PXSLI3IFRCYJX.json","graph_json":"https://pith.science/api/pith-number/7E4XT4IUTHEQ7PXSLI3IFRCYJX/graph.json","events_json":"https://pith.science/api/pith-number/7E4XT4IUTHEQ7PXSLI3IFRCYJX/events.json","paper":"https://pith.science/paper/7E4XT4IU"},"agent_actions":{"view_html":"https://pith.science/pith/7E4XT4IUTHEQ7PXSLI3IFRCYJX","download_json":"https://pith.science/pith/7E4XT4IUTHEQ7PXSLI3IFRCYJX.json","view_paper":"https://pith.science/paper/7E4XT4IU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.2653&json=true","fetch_graph":"https://pith.science/api/pith-number/7E4XT4IUTHEQ7PXSLI3IFRCYJX/graph.json","fetch_events":"https://pith.science/api/pith-number/7E4XT4IUTHEQ7PXSLI3IFRCYJX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7E4XT4IUTHEQ7PXSLI3IFRCYJX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7E4XT4IUTHEQ7PXSLI3IFRCYJX/action/storage_attestation","attest_author":"https://pith.science/pith/7E4XT4IUTHEQ7PXSLI3IFRCYJX/action/author_attestation","sign_citation":"https://pith.science/pith/7E4XT4IUTHEQ7PXSLI3IFRCYJX/action/citation_signature","submit_replication":"https://pith.science/pith/7E4XT4IUTHEQ7PXSLI3IFRCYJX/action/replication_record"}},"created_at":"2026-05-18T02:59:47.357717+00:00","updated_at":"2026-05-18T02:59:47.357717+00:00"}