{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:AUURVCFDAK3224NBNPPYZ2QUKA","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":"a061dffd58f18b5050d32decebaa7cf39fbb9bea57592b637cb7142e46d7a492","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-06-29T13:44:18Z","title_canon_sha256":"99804e3da59e0bf9de3700646b7ee9849e5e67f999432da7938eb12c477e77a6"},"schema_version":"1.0","source":{"id":"1606.09096","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.09096","created_at":"2026-05-18T01:11:41Z"},{"alias_kind":"arxiv_version","alias_value":"1606.09096v1","created_at":"2026-05-18T01:11:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.09096","created_at":"2026-05-18T01:11:41Z"},{"alias_kind":"pith_short_12","alias_value":"AUURVCFDAK32","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AUURVCFDAK3224NB","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AUURVCFD","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:0643112e3ad65cf2bb0eaf76b83cbda0c3db1356f673244f9acc15cbab364913","target":"graph","created_at":"2026-05-18T01:11:41Z","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":"For each subgroup of GL_2(F_p) or order divisible by p, generated by (pseudo-)reflections, we compute the ideals of stable and generalized invariants. These groups and these ideals are related to the cohomology of compact Lie groups, Kac-Moody groups and p-compact groups.","authors_text":"Jaume Aguad\\'e","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-06-29T13:44:18Z","title":"Generalized invariants of reflection groups in rank two"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.09096","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":"sha256:9113d23d402b7bc7f7b0df184d8595f35f4d8df7c5e41146dd1c435efc60fcf1","target":"record","created_at":"2026-05-18T01:11:41Z","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":"a061dffd58f18b5050d32decebaa7cf39fbb9bea57592b637cb7142e46d7a492","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-06-29T13:44:18Z","title_canon_sha256":"99804e3da59e0bf9de3700646b7ee9849e5e67f999432da7938eb12c477e77a6"},"schema_version":"1.0","source":{"id":"1606.09096","kind":"arxiv","version":1}},"canonical_sha256":"05291a88a302b7ad71a16bdf8cea14500bec33101005ef6352e4976a5ce75b9c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"05291a88a302b7ad71a16bdf8cea14500bec33101005ef6352e4976a5ce75b9c","first_computed_at":"2026-05-18T01:11:41.739039Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:41.739039Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"smtMsBkzafifVH1QIJ6tJHs+SMNB8PUlYTMTPoqpaTyyAQCWb8a3Y8RUieKrQgPWKs5fh1gErwrYNSW2298PBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:41.739385Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.09096","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9113d23d402b7bc7f7b0df184d8595f35f4d8df7c5e41146dd1c435efc60fcf1","sha256:0643112e3ad65cf2bb0eaf76b83cbda0c3db1356f673244f9acc15cbab364913"],"state_sha256":"2e98439e3edb59053922ddb8783681115a1d93c431418ff491da5362ddd35211"}