{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:EXJDG52BKANFE6DCKPRPTCFKT7","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":"d09b05ca47e0ee0a9fdc775a5389bb23c02e75edb38a6dd67dae0c50cc684d72","cross_cats_sorted":["hep-th","math.AG","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2022-07-07T06:55:39Z","title_canon_sha256":"0c4bb6e02a1007cf05343c0d754b25af6f268e9c812fc5ea6381274296ee4f02"},"schema_version":"1.0","source":{"id":"2207.03115","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.03115","created_at":"2026-07-05T09:52:55Z"},{"alias_kind":"arxiv_version","alias_value":"2207.03115v3","created_at":"2026-07-05T09:52:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.03115","created_at":"2026-07-05T09:52:55Z"},{"alias_kind":"pith_short_12","alias_value":"EXJDG52BKANF","created_at":"2026-07-05T09:52:55Z"},{"alias_kind":"pith_short_16","alias_value":"EXJDG52BKANFE6DC","created_at":"2026-07-05T09:52:55Z"},{"alias_kind":"pith_short_8","alias_value":"EXJDG52B","created_at":"2026-07-05T09:52:55Z"}],"graph_snapshots":[{"event_id":"sha256:44a01b7bf4ae3f82744d5f1b0d25c6a880cf2a3d351b6730f0d961791368a748","target":"graph","created_at":"2026-07-05T09:52:55Z","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/2207.03115/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This is a companion paper of arXiv:1909.11492 and arXiv:1912.01930. We prove an equivalence relating representations of a degenerate orthosymplectic supergroup with the category of twisted $Sp(2n,{\\mathbb C}[\\![t]\\!])$-equivariant $D$-modules on the so called mirabolic affine Grassmannian of $Sp(2n)$. We also discuss (conjectural) extension of this equivalence to the case of quantum supergroups and to some exceptional supergroups.","authors_text":"Alexander Braverman, Michael Finkelberg, Roman Travkin","cross_cats":["hep-th","math.AG","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2022-07-07T06:55:39Z","title":"Orthosymplectic Satake equivalence, II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.03115","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:a46fbee59caa63eb9c9bf876c8b6d36e3e4e528948960910958994bb24836dc2","target":"record","created_at":"2026-07-05T09:52:55Z","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":"d09b05ca47e0ee0a9fdc775a5389bb23c02e75edb38a6dd67dae0c50cc684d72","cross_cats_sorted":["hep-th","math.AG","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2022-07-07T06:55:39Z","title_canon_sha256":"0c4bb6e02a1007cf05343c0d754b25af6f268e9c812fc5ea6381274296ee4f02"},"schema_version":"1.0","source":{"id":"2207.03115","kind":"arxiv","version":3}},"canonical_sha256":"25d2337741501a52786253e2f988aa9fea962c0a28646430e800af4bc7891b0e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25d2337741501a52786253e2f988aa9fea962c0a28646430e800af4bc7891b0e","first_computed_at":"2026-07-05T09:52:55.401795Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:52:55.401795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ybv3iKnO4W8rnzpzcydAEO2j2amo4MWIl94eAqldo3o7GvxC42SIJYTcpW3Dln9HBMO9vTW3DycE1GghLfNlBw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:52:55.402185Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.03115","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a46fbee59caa63eb9c9bf876c8b6d36e3e4e528948960910958994bb24836dc2","sha256:44a01b7bf4ae3f82744d5f1b0d25c6a880cf2a3d351b6730f0d961791368a748"],"state_sha256":"c3307f598e5264798f52cc489aa891a2291a3d3819682dc62fc41381e956fe2c"}