{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:XXS2J7TEY4AHSXP4FFKFLH2NZD","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":"cb6787b0b75f7083b42a6a9ff1b95bae9c95a12d4aa57ab187538e9862910652","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2025-05-14T15:35:29Z","title_canon_sha256":"728c432c8d881bdb7cde539b2e41839b90c55d7e470c46173c34d54c4fb5c520"},"schema_version":"1.0","source":{"id":"2505.09483","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.09483","created_at":"2026-07-05T11:03:09Z"},{"alias_kind":"arxiv_version","alias_value":"2505.09483v1","created_at":"2026-07-05T11:03:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.09483","created_at":"2026-07-05T11:03:09Z"},{"alias_kind":"pith_short_12","alias_value":"XXS2J7TEY4AH","created_at":"2026-07-05T11:03:09Z"},{"alias_kind":"pith_short_16","alias_value":"XXS2J7TEY4AHSXP4","created_at":"2026-07-05T11:03:09Z"},{"alias_kind":"pith_short_8","alias_value":"XXS2J7TE","created_at":"2026-07-05T11:03:09Z"}],"graph_snapshots":[{"event_id":"sha256:8f9fbb6144d232c84e0d90b691be233884e76e289bddf3e1e6bd4f6019630fff","target":"graph","created_at":"2026-07-05T11:03:09Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2505.09483/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we construct a restriction morphism on the critical cohomology of an equivariant Landau-Ginzburg model associated to a representation of a reductive group equipped with an invariant function. We show a compatibility formula between the restriction and induction maps as a Mackey-type formula, thereby giving the critical cohomology the structure of a localized induction-restriction system.","authors_text":"Lucien Hennecart","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2025-05-14T15:35:29Z","title":"Cohomological Mackey formula for quotient stacks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.09483","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":"sha256:2a0bd263ecb6bffd4386956dadc86f0f6c3e33cdc134e82155ff5eb5dcce9017","target":"record","created_at":"2026-07-05T11:03:09Z","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":"cb6787b0b75f7083b42a6a9ff1b95bae9c95a12d4aa57ab187538e9862910652","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2025-05-14T15:35:29Z","title_canon_sha256":"728c432c8d881bdb7cde539b2e41839b90c55d7e470c46173c34d54c4fb5c520"},"schema_version":"1.0","source":{"id":"2505.09483","kind":"arxiv","version":1}},"canonical_sha256":"bde5a4fe64c700795dfc2954559f4dc8eecce941f9fd5a8e94aa0f6df06dba47","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bde5a4fe64c700795dfc2954559f4dc8eecce941f9fd5a8e94aa0f6df06dba47","first_computed_at":"2026-07-05T11:03:09.238222Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:03:09.238222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZSRQusiO7Z76mbz4vlkunsH/panpYARipkeaQClyxwaaMWOWXqy6FwMsR2OxWGBb2BIkE+/Rt8CxLZvoOOBHDw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:03:09.238688Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.09483","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a0bd263ecb6bffd4386956dadc86f0f6c3e33cdc134e82155ff5eb5dcce9017","sha256:8f9fbb6144d232c84e0d90b691be233884e76e289bddf3e1e6bd4f6019630fff"],"state_sha256":"aaca7738979310f5d98669a22cc55b011106bec5ed8ea3caf2a2848318fa8fee"}