{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:XEAH4ZMUZUKGIAYARUAPWDWSBL","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":"be641f20815c7a4dc65edaaeca940b939151a8ae955edbdb66ebb1cf2dc099d7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2009-11-23T08:36:53Z","title_canon_sha256":"25e0df7ee832e708d78b3e5bedb0c094db6741e6dc084e152b52a14fca85e9a7"},"schema_version":"1.0","source":{"id":"0911.4338","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.4338","created_at":"2026-05-18T02:41:51Z"},{"alias_kind":"arxiv_version","alias_value":"0911.4338v3","created_at":"2026-05-18T02:41:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.4338","created_at":"2026-05-18T02:41:51Z"},{"alias_kind":"pith_short_12","alias_value":"XEAH4ZMUZUKG","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"XEAH4ZMUZUKGIAYA","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"XEAH4ZMU","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:80b67e2ca06fb09287968372c1a5e6f45a563e299dcba968e1ef615fa10416eb","target":"graph","created_at":"2026-05-18T02:41:51Z","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":"In this paper we study the spaces of $q$-tuples of points in a Euclidean space, without $k$-wise coincidences (configuration-like spaces). A transitive group action by permuting these points is considered, and some new upper bounds on the genus (in the sense of Krasnosel'skii--Schwarz and Clapp--Puppe) for this action are given. Some theorems of Cohen--Lusk type for coincidence points of continuous maps to Euclidean spaces are deduced.","authors_text":"A.Yu. Volovikov, R.N. Karasev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2009-11-23T08:36:53Z","title":"Configuration-like spaces and coincidences of maps on orbits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.4338","kind":"arxiv","version":3},"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:ee2a748db85e59b8e8c487d66ef2d835f4a93c8a66b405cae5cd542e7e532515","target":"record","created_at":"2026-05-18T02:41:51Z","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":"be641f20815c7a4dc65edaaeca940b939151a8ae955edbdb66ebb1cf2dc099d7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2009-11-23T08:36:53Z","title_canon_sha256":"25e0df7ee832e708d78b3e5bedb0c094db6741e6dc084e152b52a14fca85e9a7"},"schema_version":"1.0","source":{"id":"0911.4338","kind":"arxiv","version":3}},"canonical_sha256":"b9007e6594cd146403008d00fb0ed20ac1f20c2c1b56900c920a21f41c52b585","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b9007e6594cd146403008d00fb0ed20ac1f20c2c1b56900c920a21f41c52b585","first_computed_at":"2026-05-18T02:41:51.041905Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:51.041905Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yYSOK8YIFBVcX1xDwRWoLVqXwt67w+dbQFjA++hTfF6GUT6zsf4MoaLWqtqNcKcdEIHlbsDJes2Jd/jcv94+BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:51.042480Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.4338","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee2a748db85e59b8e8c487d66ef2d835f4a93c8a66b405cae5cd542e7e532515","sha256:80b67e2ca06fb09287968372c1a5e6f45a563e299dcba968e1ef615fa10416eb"],"state_sha256":"edd54d39d05cd902ebd578281b118a98820078a09b8dc4212f1a166b8609f57c"}