{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:ERF235XBDGBSPDNEVWAVWKYXPD","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":"9704c9d33e5f7f376c51535ec2a5680c1c4e452f95353b3e8271951f160d8ff4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-02-26T13:21:26Z","title_canon_sha256":"f0997172f9d7f024b54649e2e30e0f7eb8ea426a58e227bb5953f7a907f27e34"},"schema_version":"1.0","source":{"id":"1902.09918","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.09918","created_at":"2026-05-17T23:52:35Z"},{"alias_kind":"arxiv_version","alias_value":"1902.09918v1","created_at":"2026-05-17T23:52:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.09918","created_at":"2026-05-17T23:52:35Z"},{"alias_kind":"pith_short_12","alias_value":"ERF235XBDGBS","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"ERF235XBDGBSPDNE","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"ERF235XB","created_at":"2026-05-18T12:33:15Z"}],"graph_snapshots":[{"event_id":"sha256:e366690b4a8b9f1f6cb28c1e8fd237a29b9903a722ff3c85cff2c7a4acb39ab5","target":"graph","created_at":"2026-05-17T23:52:35Z","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":"The classifying spaces of cobordisms of singular maps have two fairly different constructions. We expose a homotopy theoretical connection between them. As a corollary we show that the classifying spaces in some cases have a simple product structure.","authors_text":"Andr\\'as Sz\\H{u}cs, Tam\\'as Terpai","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-02-26T13:21:26Z","title":"On the classifying spaces of cobordisms of singular maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.09918","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":"sha256:22e7bbb5d1ccb69790d87e6c37c625f9734049e27e72091e5229233a66ef01a4","target":"record","created_at":"2026-05-17T23:52:35Z","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":"9704c9d33e5f7f376c51535ec2a5680c1c4e452f95353b3e8271951f160d8ff4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-02-26T13:21:26Z","title_canon_sha256":"f0997172f9d7f024b54649e2e30e0f7eb8ea426a58e227bb5953f7a907f27e34"},"schema_version":"1.0","source":{"id":"1902.09918","kind":"arxiv","version":1}},"canonical_sha256":"244badf6e11983278da4ad815b2b1778eb05164f70ad1da35f35ceccdd991ace","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"244badf6e11983278da4ad815b2b1778eb05164f70ad1da35f35ceccdd991ace","first_computed_at":"2026-05-17T23:52:35.043536Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:35.043536Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jm7C+82toe9p4oO1LQ8sdnfT9HTJoCsDXpq35ehXKNo6iJoc5XAcJQzILd9Y0OA1UPMWnNmFtb6cyhIrbp3XBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:35.044066Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.09918","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:22e7bbb5d1ccb69790d87e6c37c625f9734049e27e72091e5229233a66ef01a4","sha256:e366690b4a8b9f1f6cb28c1e8fd237a29b9903a722ff3c85cff2c7a4acb39ab5"],"state_sha256":"1f2288a90629869385855aa88b46451ef08a2d6af37e920d908eaf849ec7c224"}