{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:YGOD4F2VXCOHOE6JPIMNT6ETQH","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":"800367728d1a76cfef1df3ca130f30b489a5ea5e5af4cb5aaec42e0040c1c6de","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2018-06-23T18:03:32Z","title_canon_sha256":"7740ac2e9ee364041c8ecbaf0626f49027033a86e64bab69acea814b05c9ee0e"},"schema_version":"1.0","source":{"id":"1806.09015","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.09015","created_at":"2026-05-18T00:12:30Z"},{"alias_kind":"arxiv_version","alias_value":"1806.09015v1","created_at":"2026-05-18T00:12:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.09015","created_at":"2026-05-18T00:12:30Z"},{"alias_kind":"pith_short_12","alias_value":"YGOD4F2VXCOH","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YGOD4F2VXCOHOE6J","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YGOD4F2V","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:1bc2718d04fa9a98dc8a275b47cba6e398b4ea7cc4542e455b9a1e718cac4681","target":"graph","created_at":"2026-05-18T00:12:30Z","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 conclude the classification of spaces of continuous functions on ordinals carried out by R. Gorak. This gives a complete topological classification of the spaces $C_p([0,\\alpha])$ of all continuous real-valued functions on compact segments of ordinals endowed with the topology of pointwise convergence. Moreover, this topological classification of the spaces $C_p([0,\\alpha])$ completely coincides with their uniform classification.","authors_text":"L. V. Genze, S. P. Gul'ko, T. E. Khmyleva","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2018-06-23T18:03:32Z","title":"Classification of spaces of Continuous Function on ordinals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.09015","kind":"arxiv","version":1},"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:eaa2829887babf95c7954f0ce808bb9011b935a2c451e478484046a4dff181ea","target":"record","created_at":"2026-05-18T00:12:30Z","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":"800367728d1a76cfef1df3ca130f30b489a5ea5e5af4cb5aaec42e0040c1c6de","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2018-06-23T18:03:32Z","title_canon_sha256":"7740ac2e9ee364041c8ecbaf0626f49027033a86e64bab69acea814b05c9ee0e"},"schema_version":"1.0","source":{"id":"1806.09015","kind":"arxiv","version":1}},"canonical_sha256":"c19c3e1755b89c7713c97a18d9f89381d93f75dc44bf29ea839bfb40df754535","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c19c3e1755b89c7713c97a18d9f89381d93f75dc44bf29ea839bfb40df754535","first_computed_at":"2026-05-18T00:12:30.611010Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:30.611010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CzI1vOs3FPbaXNF+oLnXsQN/U0awU3PYrRwhW2J4pO9GC5cSYu/+tpF5m/BWWKSVBeL+1vCy5xeM07BbYKU7Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:30.611533Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.09015","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eaa2829887babf95c7954f0ce808bb9011b935a2c451e478484046a4dff181ea","sha256:1bc2718d04fa9a98dc8a275b47cba6e398b4ea7cc4542e455b9a1e718cac4681"],"state_sha256":"92d0c037221cfb527c23a3d16e3e84f9c2723003157f8a391e23b4c6643c88a8"}