{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:M5I5G5IDD7LFTBJHWZS45ONE2S","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":"3194b33b8bda79255650dc419fb6211b86b27c9d5c45367982244920ca5ec866","cross_cats_sorted":["math.GT","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2010-10-14T13:54:47Z","title_canon_sha256":"357c2c47bddfa79cfa669bafbbeae83a5137dc4a7deb3864da7ac9023144346d"},"schema_version":"1.0","source":{"id":"1010.2922","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.2922","created_at":"2026-05-18T04:39:18Z"},{"alias_kind":"arxiv_version","alias_value":"1010.2922v1","created_at":"2026-05-18T04:39:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.2922","created_at":"2026-05-18T04:39:18Z"},{"alias_kind":"pith_short_12","alias_value":"M5I5G5IDD7LF","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"M5I5G5IDD7LFTBJH","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"M5I5G5ID","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:923c6a8f2dd72c1d4a409131c903c5e69a91ece18ec275c51d334bd0707b137a","target":"graph","created_at":"2026-05-18T04:39:18Z","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":"Let M be a closed simply connected 2n-dimensional manifold. The present paper is concerned with the cohomology of classifying spaces of connected groups of homeomorphisms of M.","authors_text":"Jarek K\\k{e}dra","cross_cats":["math.GT","math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2010-10-14T13:54:47Z","title":"On the cohomology of classifying spaces of groups of homeomorphisms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.2922","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":"sha256:093441b2a9afb5fc35faa75dd853fdf3b55e022b6f41d8cb1bb5161ea923d94c","target":"record","created_at":"2026-05-18T04:39:18Z","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":"3194b33b8bda79255650dc419fb6211b86b27c9d5c45367982244920ca5ec866","cross_cats_sorted":["math.GT","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2010-10-14T13:54:47Z","title_canon_sha256":"357c2c47bddfa79cfa669bafbbeae83a5137dc4a7deb3864da7ac9023144346d"},"schema_version":"1.0","source":{"id":"1010.2922","kind":"arxiv","version":1}},"canonical_sha256":"6751d375031fd6598527b665ceb9a4d4b43342540de090fa11bedc0cdf760e62","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6751d375031fd6598527b665ceb9a4d4b43342540de090fa11bedc0cdf760e62","first_computed_at":"2026-05-18T04:39:18.867342Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:39:18.867342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vGxisvEA32VrWFvMQuVQn06jf4/rge4gqV2SmbYVDuu6oTe+qjzgzFogtZc2qT8QZNUo0Ihr+RyyV9jUobj2AA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:39:18.867887Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.2922","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:093441b2a9afb5fc35faa75dd853fdf3b55e022b6f41d8cb1bb5161ea923d94c","sha256:923c6a8f2dd72c1d4a409131c903c5e69a91ece18ec275c51d334bd0707b137a"],"state_sha256":"4a0846361a754f2d0d661bd7a295713b5cfd9c3da1594a0684336477627fba0a"}