{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:L7UAUGE2735E4ZVTKUUIZDWPSF","short_pith_number":"pith:L7UAUGE2","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"},"canonical_sha256":"5fe80a189afefa4e66b355288c8ecf917a19255324c2af42e370f480486c90f2","source":{"kind":"arxiv","id":"1708.09820","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.09820","created_at":"2026-05-17T23:51:21Z"},{"alias_kind":"arxiv_version","alias_value":"1708.09820v4","created_at":"2026-05-17T23:51:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.09820","created_at":"2026-05-17T23:51:21Z"},{"alias_kind":"pith_short_12","alias_value":"L7UAUGE2735E","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"L7UAUGE2735E4ZVT","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"L7UAUGE2","created_at":"2026-05-18T12:31:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:L7UAUGE2735E4ZVTKUUIZDWPSF","target":"record","payload":{"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"},"canonical_sha256":"5fe80a189afefa4e66b355288c8ecf917a19255324c2af42e370f480486c90f2","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"},"source_kind":"arxiv","source_id":"1708.09820","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:51:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SXqlM4voRnRJDieh2loOlEj1n6NcumHVxlb8ONWS42QKGBdx2XPAbCZL3nWD88x0VO4JPTYrj6NhwuhkKl84Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T04:59:31.405301Z"},"content_sha256":"daf0fda7ed569f6fceded83984c14e98920ce37d5b84aba2ecad8a32a8b01de5","schema_version":"1.0","event_id":"sha256:daf0fda7ed569f6fceded83984c14e98920ce37d5b84aba2ecad8a32a8b01de5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:L7UAUGE2735E4ZVTKUUIZDWPSF","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:51:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bn2NTf7WNaR6x62QuL1cE5wDFL9AX1fWTqJJo52/9T2zNwVITg3JsKN+ct7tZ/QqTL21wKarbL6zKxaAg+L1Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T04:59:31.405655Z"},"content_sha256":"68731a6659e7731342c6d567954d93e69fbfe90725ddbe0b0762eec32bded10a","schema_version":"1.0","event_id":"sha256:68731a6659e7731342c6d567954d93e69fbfe90725ddbe0b0762eec32bded10a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L7UAUGE2735E4ZVTKUUIZDWPSF/bundle.json","state_url":"https://pith.science/pith/L7UAUGE2735E4ZVTKUUIZDWPSF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L7UAUGE2735E4ZVTKUUIZDWPSF/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-25T04:59:31Z","links":{"resolver":"https://pith.science/pith/L7UAUGE2735E4ZVTKUUIZDWPSF","bundle":"https://pith.science/pith/L7UAUGE2735E4ZVTKUUIZDWPSF/bundle.json","state":"https://pith.science/pith/L7UAUGE2735E4ZVTKUUIZDWPSF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L7UAUGE2735E4ZVTKUUIZDWPSF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:L7UAUGE2735E4ZVTKUUIZDWPSF","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":"402be713908a55908676026183e46e008d9924d872e1d817c5f96cd38f2fd5e1","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2017-08-31T17:02:42Z","title_canon_sha256":"90d0c6c2419bcda140ba371e03b613969425afd622e06970d70268d1302d9609"},"schema_version":"1.0","source":{"id":"1708.09820","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.09820","created_at":"2026-05-17T23:51:21Z"},{"alias_kind":"arxiv_version","alias_value":"1708.09820v4","created_at":"2026-05-17T23:51:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.09820","created_at":"2026-05-17T23:51:21Z"},{"alias_kind":"pith_short_12","alias_value":"L7UAUGE2735E","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"L7UAUGE2735E4ZVT","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"L7UAUGE2","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:68731a6659e7731342c6d567954d93e69fbfe90725ddbe0b0762eec32bded10a","target":"graph","created_at":"2026-05-17T23:51:21Z","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":"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.","authors_text":"Margarita Korovina, Oleg Kudinov","cross_cats":["math.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2017-08-31T17:02:42Z","title":"The Rice-Shapiro theorem in Computable Topology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.09820","kind":"arxiv","version":4},"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:daf0fda7ed569f6fceded83984c14e98920ce37d5b84aba2ecad8a32a8b01de5","target":"record","created_at":"2026-05-17T23:51:21Z","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":"402be713908a55908676026183e46e008d9924d872e1d817c5f96cd38f2fd5e1","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2017-08-31T17:02:42Z","title_canon_sha256":"90d0c6c2419bcda140ba371e03b613969425afd622e06970d70268d1302d9609"},"schema_version":"1.0","source":{"id":"1708.09820","kind":"arxiv","version":4}},"canonical_sha256":"5fe80a189afefa4e66b355288c8ecf917a19255324c2af42e370f480486c90f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5fe80a189afefa4e66b355288c8ecf917a19255324c2af42e370f480486c90f2","first_computed_at":"2026-05-17T23:51:21.520066Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:21.520066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ykb4eA/hCUp9uIk6Ie4gsHVj+eGbe9ccx2+D9CXSrMwZb+bLNX7LMWOjruOEqf/8ap40LuzUs5kvyPRX0LDNDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:21.520733Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.09820","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:daf0fda7ed569f6fceded83984c14e98920ce37d5b84aba2ecad8a32a8b01de5","sha256:68731a6659e7731342c6d567954d93e69fbfe90725ddbe0b0762eec32bded10a"],"state_sha256":"c2b962e586c114d67043e2a8f8a8e6be8023e5b91681efa3c696a64a2138d46e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ii0yc1aMhqDmKXfWObw7214GrzMvK5TsukHN1dTUJulSfRo11kdhNo2+m6b4rxZf+z2fglvy7rTGVrDudTkaDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T04:59:31.407748Z","bundle_sha256":"05c79a62845a178e92a37ff121b27a005d6d1aab520c5aae47f8e9ac879d5b88"}}