{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:D2XIOBCO5HY3UHFUQNPR56TX6G","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":"50770cfd2658f65811d5d436ad22d85fc44069fbaa2ede75a2875519994cd603","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-06-18T14:43:03Z","title_canon_sha256":"8a6ac583f44b23dbca2aeabe99e20e696eb0afacd0bcccc04986938fe687213b"},"schema_version":"1.0","source":{"id":"1606.05761","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.05761","created_at":"2026-05-18T01:12:16Z"},{"alias_kind":"arxiv_version","alias_value":"1606.05761v1","created_at":"2026-05-18T01:12:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.05761","created_at":"2026-05-18T01:12:16Z"},{"alias_kind":"pith_short_12","alias_value":"D2XIOBCO5HY3","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"D2XIOBCO5HY3UHFU","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"D2XIOBCO","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:74bea503aa55d93a79f5ab08ee1c2a69ffbba4a322461e81d04bd086723be75a","target":"graph","created_at":"2026-05-18T01:12:16Z","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 an alternative proof that Crosscaps are diffeomorphically stable.","authors_text":"Curtis Pro, Frederick Wilhelm, Michael Sill","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-06-18T14:43:03Z","title":"Crosscap Stability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.05761","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:f777857a2ec280229d0f7c181cd98c943a04318a714011102e496a0524e0eed3","target":"record","created_at":"2026-05-18T01:12:16Z","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":"50770cfd2658f65811d5d436ad22d85fc44069fbaa2ede75a2875519994cd603","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-06-18T14:43:03Z","title_canon_sha256":"8a6ac583f44b23dbca2aeabe99e20e696eb0afacd0bcccc04986938fe687213b"},"schema_version":"1.0","source":{"id":"1606.05761","kind":"arxiv","version":1}},"canonical_sha256":"1eae87044ee9f1ba1cb4835f1efa77f199662b492e500b930212e3199206a750","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1eae87044ee9f1ba1cb4835f1efa77f199662b492e500b930212e3199206a750","first_computed_at":"2026-05-18T01:12:16.083360Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:16.083360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"95ZafxrZERXYBho6suym9PuvLKr2f5iL1ygIgjQ5CaOYWXlTVGrFqK3PAqCVPb9vdVpYrZ0BJy1XJnM0cU/zBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:16.083727Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.05761","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f777857a2ec280229d0f7c181cd98c943a04318a714011102e496a0524e0eed3","sha256:74bea503aa55d93a79f5ab08ee1c2a69ffbba4a322461e81d04bd086723be75a"],"state_sha256":"9c5e870ecd432c796fae46c0b515b4f4eefaf5644dd7248ead9b85a6dca50f43"}