{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:L7UAUGE2735E4ZVTKUUIZDWPSF","short_pith_number":"pith:L7UAUGE2","schema_version":"1.0","canonical_sha256":"5fe80a189afefa4e66b355288c8ecf917a19255324c2af42e370f480486c90f2","source":{"kind":"arxiv","id":"1708.09820","version":4},"attestation_state":"computed","paper":{"title":"The Rice-Shapiro theorem in Computable Topology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.LO"],"primary_cat":"cs.LO","authors_text":"Margarita Korovina, Oleg Kudinov","submitted_at":"2017-08-31T17:02:42Z","abstract_excerpt":"We provide requirements on effectively enumerable topological spaces which guarantee that the Rice-Shapiro theorem holds for the computable elements of these spaces. We show that the relaxation of these requirements leads to the classes of effectively enumerable topological spaces where the Rice-Shapiro theorem does not hold. We propose two constructions that generate effectively enumerable topological spaces with particular properties from wn--families and computable trees without computable infinite paths. Using them we propose examples that give a flavor of this class."},"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":"1708.09820","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2017-08-31T17:02:42Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"90d0c6c2419bcda140ba371e03b613969425afd622e06970d70268d1302d9609","abstract_canon_sha256":"402be713908a55908676026183e46e008d9924d872e1d817c5f96cd38f2fd5e1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:21.520733Z","signature_b64":"Ykb4eA/hCUp9uIk6Ie4gsHVj+eGbe9ccx2+D9CXSrMwZb+bLNX7LMWOjruOEqf/8ap40LuzUs5kvyPRX0LDNDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5fe80a189afefa4e66b355288c8ecf917a19255324c2af42e370f480486c90f2","last_reissued_at":"2026-05-17T23:51:21.520066Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:21.520066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Rice-Shapiro theorem in Computable Topology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.LO"],"primary_cat":"cs.LO","authors_text":"Margarita Korovina, Oleg Kudinov","submitted_at":"2017-08-31T17:02:42Z","abstract_excerpt":"We provide requirements on effectively enumerable topological spaces which guarantee that the Rice-Shapiro theorem holds for the computable elements of these spaces. We show that the relaxation of these requirements leads to the classes of effectively enumerable topological spaces where the Rice-Shapiro theorem does not hold. We propose two constructions that generate effectively enumerable topological spaces with particular properties from wn--families and computable trees without computable infinite paths. Using them we propose examples that give a flavor of this class."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.09820","kind":"arxiv","version":4},"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":"1708.09820","created_at":"2026-05-17T23:51:21.520165+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.09820v4","created_at":"2026-05-17T23:51:21.520165+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.09820","created_at":"2026-05-17T23:51:21.520165+00:00"},{"alias_kind":"pith_short_12","alias_value":"L7UAUGE2735E","created_at":"2026-05-18T12:31:28.150371+00:00"},{"alias_kind":"pith_short_16","alias_value":"L7UAUGE2735E4ZVT","created_at":"2026-05-18T12:31:28.150371+00:00"},{"alias_kind":"pith_short_8","alias_value":"L7UAUGE2","created_at":"2026-05-18T12:31:28.150371+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/L7UAUGE2735E4ZVTKUUIZDWPSF","json":"https://pith.science/pith/L7UAUGE2735E4ZVTKUUIZDWPSF.json","graph_json":"https://pith.science/api/pith-number/L7UAUGE2735E4ZVTKUUIZDWPSF/graph.json","events_json":"https://pith.science/api/pith-number/L7UAUGE2735E4ZVTKUUIZDWPSF/events.json","paper":"https://pith.science/paper/L7UAUGE2"},"agent_actions":{"view_html":"https://pith.science/pith/L7UAUGE2735E4ZVTKUUIZDWPSF","download_json":"https://pith.science/pith/L7UAUGE2735E4ZVTKUUIZDWPSF.json","view_paper":"https://pith.science/paper/L7UAUGE2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.09820&json=true","fetch_graph":"https://pith.science/api/pith-number/L7UAUGE2735E4ZVTKUUIZDWPSF/graph.json","fetch_events":"https://pith.science/api/pith-number/L7UAUGE2735E4ZVTKUUIZDWPSF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L7UAUGE2735E4ZVTKUUIZDWPSF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L7UAUGE2735E4ZVTKUUIZDWPSF/action/storage_attestation","attest_author":"https://pith.science/pith/L7UAUGE2735E4ZVTKUUIZDWPSF/action/author_attestation","sign_citation":"https://pith.science/pith/L7UAUGE2735E4ZVTKUUIZDWPSF/action/citation_signature","submit_replication":"https://pith.science/pith/L7UAUGE2735E4ZVTKUUIZDWPSF/action/replication_record"}},"created_at":"2026-05-17T23:51:21.520165+00:00","updated_at":"2026-05-17T23:51:21.520165+00:00"}