{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:SJ6DF6GUQ63ME35GOIDRLB6DM4","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":"0e3654ee4752a2aafa9be58089c093d08aeb9cc70377f6bee4a05a6db304a730","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2024-12-24T12:14:18Z","title_canon_sha256":"e0b2960b6a57d74c64b3a2a3942e60424059a28f08bded869668ac7e445e52d3"},"schema_version":"1.0","source":{"id":"2412.18382","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.18382","created_at":"2026-07-05T10:01:18Z"},{"alias_kind":"arxiv_version","alias_value":"2412.18382v2","created_at":"2026-07-05T10:01:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.18382","created_at":"2026-07-05T10:01:18Z"},{"alias_kind":"pith_short_12","alias_value":"SJ6DF6GUQ63M","created_at":"2026-07-05T10:01:18Z"},{"alias_kind":"pith_short_16","alias_value":"SJ6DF6GUQ63ME35G","created_at":"2026-07-05T10:01:18Z"},{"alias_kind":"pith_short_8","alias_value":"SJ6DF6GU","created_at":"2026-07-05T10:01:18Z"}],"graph_snapshots":[{"event_id":"sha256:4dec340aca7feab9d64192ade2e0c3a16998c4608c1355fea2e179aac25525a2","target":"graph","created_at":"2026-07-05T10:01:18Z","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/2412.18382/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove Wehrl-type $L^2(G)-L^{p}(G)$ inequalities for matrix coefficients of vector-valued holomorphic discrete series of $G$, for even integers $p=2n$. The optimal constant is expressed in terms of Harish-Chandra formal degrees for the discrete series. We prove the maximizers are precisely the reproducing kernels.","authors_text":"Genkai Zhang, Robin van Haastrecht","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2024-12-24T12:14:18Z","title":"Wehrl inequalities for matrix coefficients of holomorphic discrete series"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.18382","kind":"arxiv","version":2},"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":"sha256:97fd2c397d96fa5a773adc1450538a40413c1583f8ebd3839c9e0ea996070f38","target":"record","created_at":"2026-07-05T10:01:18Z","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":"0e3654ee4752a2aafa9be58089c093d08aeb9cc70377f6bee4a05a6db304a730","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2024-12-24T12:14:18Z","title_canon_sha256":"e0b2960b6a57d74c64b3a2a3942e60424059a28f08bded869668ac7e445e52d3"},"schema_version":"1.0","source":{"id":"2412.18382","kind":"arxiv","version":2}},"canonical_sha256":"927c32f8d487b6c26fa672071587c367006cb7202af97b725ed3d07009d29cee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"927c32f8d487b6c26fa672071587c367006cb7202af97b725ed3d07009d29cee","first_computed_at":"2026-07-05T10:01:18.764935Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:01:18.764935Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n0kM+v1WvEnGTk2vv95azgqWza1epmwhbpRJAGANu+6JGKWke5uTECzqQHzSnceOi/RaRCJ1Yj4mmKbmiIcEAw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:01:18.765375Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.18382","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:97fd2c397d96fa5a773adc1450538a40413c1583f8ebd3839c9e0ea996070f38","sha256:4dec340aca7feab9d64192ade2e0c3a16998c4608c1355fea2e179aac25525a2"],"state_sha256":"c9a6ec78d089c092c7fa4cdd63548c95b16fcbc1a3cf8a10ea405e4cce09e6da"}