{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:LWQZDRRSW5PMLUQPJZK7DNJSMP","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":"8f93ab29149babe11ee2831c08b8d5b457f50cc386a3c0b629c1f64c99214a33","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-08-08T19:28:38Z","title_canon_sha256":"e3e5c284f07c098291fab463167fc277a8736c782e60d83415eacbd7e8e3b3b4"},"schema_version":"1.0","source":{"id":"1208.1746","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.1746","created_at":"2026-05-18T01:30:41Z"},{"alias_kind":"arxiv_version","alias_value":"1208.1746v4","created_at":"2026-05-18T01:30:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.1746","created_at":"2026-05-18T01:30:41Z"},{"alias_kind":"pith_short_12","alias_value":"LWQZDRRSW5PM","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LWQZDRRSW5PMLUQP","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LWQZDRRS","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:52d192b5130796ec685aaf026d85bb6e37a93f02e91e63e64142fa428d559e13","target":"graph","created_at":"2026-05-18T01:30:41Z","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":"These notes provide an informal introduction to a type of Mackey functor that arises naturally in algebraic topology in connection with Morava $K$-theory of classifying spaces of finite groups. The main aim is to identify key algebraic aspects of the Green functor structure obtained by applying a Morava $K$-theory to such classifying spaces.","authors_text":"Andrew Baker","cross_cats":["math.AT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-08-08T19:28:38Z","title":"Frobenius Green functors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.1746","kind":"arxiv","version":4},"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:afcc1f290970ec0738898c1f8b465a192ed97c9fe2b65fb615f0dc5d36194498","target":"record","created_at":"2026-05-18T01:30:41Z","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":"8f93ab29149babe11ee2831c08b8d5b457f50cc386a3c0b629c1f64c99214a33","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-08-08T19:28:38Z","title_canon_sha256":"e3e5c284f07c098291fab463167fc277a8736c782e60d83415eacbd7e8e3b3b4"},"schema_version":"1.0","source":{"id":"1208.1746","kind":"arxiv","version":4}},"canonical_sha256":"5da191c632b75ec5d20f4e55f1b53263c9e7244c3a94f914e923981f0de2d76f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5da191c632b75ec5d20f4e55f1b53263c9e7244c3a94f914e923981f0de2d76f","first_computed_at":"2026-05-18T01:30:41.352695Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:41.352695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dRlSMnR3o1sykrRz7RcbQ02+5CSnBWGRERiZ+QAHWo8+qc20m3I/PhfwCkC94aV6/7JI018Ekr5XgsfVjoMlAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:41.353203Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.1746","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:afcc1f290970ec0738898c1f8b465a192ed97c9fe2b65fb615f0dc5d36194498","sha256:52d192b5130796ec685aaf026d85bb6e37a93f02e91e63e64142fa428d559e13"],"state_sha256":"cdf46dc4613be4fc60a772df19fa18f9d8d654d92dc878de1925380daa938624"}