{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:6MWU7X7UQD4GJEYIQ4GM65NX7O","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":"da1b3663102384777a3a2a8826f5ee7a6aea3efb39f0c0ca45b419eba9d7123d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2011-07-06T09:15:51Z","title_canon_sha256":"67734bfe74bf115eba543d49df9e0ac7e9146ab66487d8f25df29aea603b4f85"},"schema_version":"1.0","source":{"id":"1107.1065","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.1065","created_at":"2026-05-18T04:18:44Z"},{"alias_kind":"arxiv_version","alias_value":"1107.1065v2","created_at":"2026-05-18T04:18:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.1065","created_at":"2026-05-18T04:18:44Z"},{"alias_kind":"pith_short_12","alias_value":"6MWU7X7UQD4G","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6MWU7X7UQD4GJEYI","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6MWU7X7U","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:86c2361b1d5c6e7a3f4638cf43ef1437095e861590b56cab02ce95f057c55b79","target":"graph","created_at":"2026-05-18T04:18:44Z","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 mainly discuss the Wu classes $v(M)$ and the Steenrod operation $Sq$ of the topological blow up $\\tilde{M}$. The formula of the Wu class $v(\\tilde{M})$ will be given as well as the formula of the Steenrod operation $Sq$. As an application, we will use our results to describe a geometric obstruction.","authors_text":"Wang Wei","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2011-07-06T09:15:51Z","title":"On the Wu classes of the topological blow up"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.1065","kind":"arxiv","version":2},"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:c5393f777c56e4c3babcde624e1ec02d67d90e94a8c2db1f114d69ee7efc72f8","target":"record","created_at":"2026-05-18T04:18:44Z","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":"da1b3663102384777a3a2a8826f5ee7a6aea3efb39f0c0ca45b419eba9d7123d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2011-07-06T09:15:51Z","title_canon_sha256":"67734bfe74bf115eba543d49df9e0ac7e9146ab66487d8f25df29aea603b4f85"},"schema_version":"1.0","source":{"id":"1107.1065","kind":"arxiv","version":2}},"canonical_sha256":"f32d4fdff480f8649308870ccf75b7fbad5bf3462126f8f40cdc89b8ff8d3626","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f32d4fdff480f8649308870ccf75b7fbad5bf3462126f8f40cdc89b8ff8d3626","first_computed_at":"2026-05-18T04:18:44.316041Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:44.316041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ut46/knDFAcS+DUNiHsn1tH7sJaXiUI8LM0/X9z7066/H6NZvQbSSxyjYxuyITddrihHUI64k+0kSPez6zGtBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:44.316666Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.1065","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c5393f777c56e4c3babcde624e1ec02d67d90e94a8c2db1f114d69ee7efc72f8","sha256:86c2361b1d5c6e7a3f4638cf43ef1437095e861590b56cab02ce95f057c55b79"],"state_sha256":"77f1db7b474ce98e5728701323e2b8eb5850500adaba1eb2410a8476fe613bad"}