{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:6AUEKOQVL22D4ZMHHGLXATAHMA","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":"a6f715e97a26c8e3cdd165be531e5f1d91388342deb382c31b45685c566f9c69","cross_cats_sorted":[],"license":"","primary_cat":"math.AT","submitted_at":"2006-01-16T19:28:43Z","title_canon_sha256":"ba24e20b6378a38bcf75a54868ecbc945a9e429d9d6e1cb56730ab5632fa1fc3"},"schema_version":"1.0","source":{"id":"math/0601392","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0601392","created_at":"2026-05-18T04:22:30Z"},{"alias_kind":"arxiv_version","alias_value":"math/0601392v2","created_at":"2026-05-18T04:22:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0601392","created_at":"2026-05-18T04:22:30Z"},{"alias_kind":"pith_short_12","alias_value":"6AUEKOQVL22D","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"6AUEKOQVL22D4ZMH","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"6AUEKOQV","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:b80304d92a2ebdea103381846cf6e86c3bbd18fc639f81f032653dd04018714f","target":"graph","created_at":"2026-05-18T04:22:30Z","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 define equivariant evaluation subgroups of the higher Rhodes groups and study their relations with Gottlieb-Fox groups.","authors_text":"Daciberg Gon\\c{c}alves, Marek Golasinski, Peter Wong","cross_cats":[],"headline":"","license":"","primary_cat":"math.AT","submitted_at":"2006-01-16T19:28:43Z","title":"Equivariant evaluation subgroups and Rhodes groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0601392","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":"sha256:29f0496577ec304f94fa38188d772da0dceae3426e591218075f08fd5c4c2108","target":"record","created_at":"2026-05-18T04:22:30Z","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":"a6f715e97a26c8e3cdd165be531e5f1d91388342deb382c31b45685c566f9c69","cross_cats_sorted":[],"license":"","primary_cat":"math.AT","submitted_at":"2006-01-16T19:28:43Z","title_canon_sha256":"ba24e20b6378a38bcf75a54868ecbc945a9e429d9d6e1cb56730ab5632fa1fc3"},"schema_version":"1.0","source":{"id":"math/0601392","kind":"arxiv","version":2}},"canonical_sha256":"f028453a155eb43e65873997704c07601b3cd363c38782ebefe2df2913c80755","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f028453a155eb43e65873997704c07601b3cd363c38782ebefe2df2913c80755","first_computed_at":"2026-05-18T04:22:30.047372Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:22:30.047372Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8g/72z0yXsICKKUm7QvriRrth25rWlE1e3EwnZc5H9JpQN5a8VKYI4nNF/78iwWGqiK47yI1lR4Y9jHvlrzqAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:22:30.047871Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0601392","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:29f0496577ec304f94fa38188d772da0dceae3426e591218075f08fd5c4c2108","sha256:b80304d92a2ebdea103381846cf6e86c3bbd18fc639f81f032653dd04018714f"],"state_sha256":"8084f56e14ef0e51a4cf574bbc0219ad2387f2d358f2ad71db01ae1f683c8bea"}