{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CLNE76IVFWSI42TGX45MIH2YXD","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":"49a925f3a64ecaf140a4192861cd87b871cd8f5497f1b988d959397fc4d4bdf7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-10-13T14:41:43Z","title_canon_sha256":"746cb633cdcd3ba1c35a29d93e5835759616859ecf7029e31e2e22c4984e7d51"},"schema_version":"1.0","source":{"id":"1610.04103","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.04103","created_at":"2026-05-18T01:02:22Z"},{"alias_kind":"arxiv_version","alias_value":"1610.04103v1","created_at":"2026-05-18T01:02:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.04103","created_at":"2026-05-18T01:02:22Z"},{"alias_kind":"pith_short_12","alias_value":"CLNE76IVFWSI","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CLNE76IVFWSI42TG","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CLNE76IV","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:bd0e61359dca3099f58c8a90bdb60252b296391d729165a2e6846b1a594a8dc1","target":"graph","created_at":"2026-05-18T01:02:22Z","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":"A conjecture by Mackey and Higson claims that there is close relationship between irreducible representations of a real reductive group and those of its Cartan motion group. The case of irreducible tempered unitary representations has been verified recently by Afgoustidis. We study the admissible representations of $SL(2,\\mathbb{R})$ by considering families of $\\D$-modules over its flag varieties. We make a conjecture which gives a geometric understanding of the Makcey-Higson bijection in the general case.","authors_text":"Qijun Tan, Shilin Yu, Yijun Yao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-10-13T14:41:43Z","title":"Mackey analogy via $\\mathcal{D}$-modules in the example of $SL(2,\\mathbb{R})$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.04103","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":"sha256:5fb11eb44ad5b41b3dd23da8d6f32567b0abcec5e2a20be0894d0f2cef90109f","target":"record","created_at":"2026-05-18T01:02:22Z","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":"49a925f3a64ecaf140a4192861cd87b871cd8f5497f1b988d959397fc4d4bdf7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-10-13T14:41:43Z","title_canon_sha256":"746cb633cdcd3ba1c35a29d93e5835759616859ecf7029e31e2e22c4984e7d51"},"schema_version":"1.0","source":{"id":"1610.04103","kind":"arxiv","version":1}},"canonical_sha256":"12da4ff9152da48e6a66bf3ac41f58b8d1c9ecc90085e8f4e3e29d8600fb8458","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12da4ff9152da48e6a66bf3ac41f58b8d1c9ecc90085e8f4e3e29d8600fb8458","first_computed_at":"2026-05-18T01:02:22.372336Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:02:22.372336Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Vc8LUcybITRbYuJdTCqJhhevDN3qvov+Mz/+kEJJGUeF0Rd/dFJWkRl1H9ILti/tXH2PUhqZAJzM2n9rkhb+Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:02:22.372932Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.04103","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5fb11eb44ad5b41b3dd23da8d6f32567b0abcec5e2a20be0894d0f2cef90109f","sha256:bd0e61359dca3099f58c8a90bdb60252b296391d729165a2e6846b1a594a8dc1"],"state_sha256":"c18fa2791fed668de73395ffe2f20a955290bcd18cc0c4af2de1f52a4e8ba3fa"}