{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:3OK7Q2UIRQGUVYRMVSTR6ONLKB","short_pith_number":"pith:3OK7Q2UI","schema_version":"1.0","canonical_sha256":"db95f86a888c0d4ae22caca71f39ab50418330d722a129b9790141fcac8f25a2","source":{"kind":"arxiv","id":"1206.1132","version":1},"attestation_state":"computed","paper":{"title":"Skeletally Dugundji spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"A. Kucharski, Sz. Plewik, V. Valov","submitted_at":"2012-06-06T06:55:38Z","abstract_excerpt":"We introduce and investigate the class of skeletally Dugundji spaces as a skeletal analogue of Dugundji space. The main result states that the following conditions are equivalent for a given space $X$: (i) $X$ is skeletally Dugundji; (ii) Every compactification of $X$ is co-absolute to a Dugundji space; (iii) Every $C^*$-embedding of the absolute $p(X)$ in another space is strongly $\\pi$-regular; (iv) $X$ has a multiplicative lattice in the sense of Shchepin \\cite{s76} consisting of skeletal maps."},"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":"1206.1132","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2012-06-06T06:55:38Z","cross_cats_sorted":[],"title_canon_sha256":"6e3bb0f290c8b9213d02173dec87dd31a37173163c70cd4c0989f70d3603a763","abstract_canon_sha256":"d8ac55e2a39cca94e46041d2ed47b0533b32a891a18eec70e0a5dabaa99b37a6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:51.722755Z","signature_b64":"oO+jJCQkeXwifaDmTH6+6En8c9hRmLu9dc6If5Ne168fVJVtC55cCadq6jMaSVM2dTPmO92TjRQMrURkDjCgDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"db95f86a888c0d4ae22caca71f39ab50418330d722a129b9790141fcac8f25a2","last_reissued_at":"2026-05-18T00:53:51.722205Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:51.722205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Skeletally Dugundji spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"A. Kucharski, Sz. Plewik, V. Valov","submitted_at":"2012-06-06T06:55:38Z","abstract_excerpt":"We introduce and investigate the class of skeletally Dugundji spaces as a skeletal analogue of Dugundji space. The main result states that the following conditions are equivalent for a given space $X$: (i) $X$ is skeletally Dugundji; (ii) Every compactification of $X$ is co-absolute to a Dugundji space; (iii) Every $C^*$-embedding of the absolute $p(X)$ in another space is strongly $\\pi$-regular; (iv) $X$ has a multiplicative lattice in the sense of Shchepin \\cite{s76} consisting of skeletal maps."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.1132","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":"1206.1132","created_at":"2026-05-18T00:53:51.722276+00:00"},{"alias_kind":"arxiv_version","alias_value":"1206.1132v1","created_at":"2026-05-18T00:53:51.722276+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.1132","created_at":"2026-05-18T00:53:51.722276+00:00"},{"alias_kind":"pith_short_12","alias_value":"3OK7Q2UIRQGU","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_16","alias_value":"3OK7Q2UIRQGUVYRM","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_8","alias_value":"3OK7Q2UI","created_at":"2026-05-18T12:26:53.410803+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/3OK7Q2UIRQGUVYRMVSTR6ONLKB","json":"https://pith.science/pith/3OK7Q2UIRQGUVYRMVSTR6ONLKB.json","graph_json":"https://pith.science/api/pith-number/3OK7Q2UIRQGUVYRMVSTR6ONLKB/graph.json","events_json":"https://pith.science/api/pith-number/3OK7Q2UIRQGUVYRMVSTR6ONLKB/events.json","paper":"https://pith.science/paper/3OK7Q2UI"},"agent_actions":{"view_html":"https://pith.science/pith/3OK7Q2UIRQGUVYRMVSTR6ONLKB","download_json":"https://pith.science/pith/3OK7Q2UIRQGUVYRMVSTR6ONLKB.json","view_paper":"https://pith.science/paper/3OK7Q2UI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1206.1132&json=true","fetch_graph":"https://pith.science/api/pith-number/3OK7Q2UIRQGUVYRMVSTR6ONLKB/graph.json","fetch_events":"https://pith.science/api/pith-number/3OK7Q2UIRQGUVYRMVSTR6ONLKB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3OK7Q2UIRQGUVYRMVSTR6ONLKB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3OK7Q2UIRQGUVYRMVSTR6ONLKB/action/storage_attestation","attest_author":"https://pith.science/pith/3OK7Q2UIRQGUVYRMVSTR6ONLKB/action/author_attestation","sign_citation":"https://pith.science/pith/3OK7Q2UIRQGUVYRMVSTR6ONLKB/action/citation_signature","submit_replication":"https://pith.science/pith/3OK7Q2UIRQGUVYRMVSTR6ONLKB/action/replication_record"}},"created_at":"2026-05-18T00:53:51.722276+00:00","updated_at":"2026-05-18T00:53:51.722276+00:00"}