{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:QINGER2SJ43RB7QIQVTNRYB2I4","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":"2d8cc594fbc85a257b5d2f6019cdcf4bbfb6832457d758a60b13232eb9aea145","cross_cats_sorted":["math-ph","math.DG","math.MP","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2024-05-09T23:08:42Z","title_canon_sha256":"5fd061c91c8434975d0282fd8bb5751cd9d092e5f60f8d91167969baec23aedf"},"schema_version":"1.0","source":{"id":"2405.06137","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.06137","created_at":"2026-07-05T08:17:36Z"},{"alias_kind":"arxiv_version","alias_value":"2405.06137v1","created_at":"2026-07-05T08:17:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.06137","created_at":"2026-07-05T08:17:36Z"},{"alias_kind":"pith_short_12","alias_value":"QINGER2SJ43R","created_at":"2026-07-05T08:17:36Z"},{"alias_kind":"pith_short_16","alias_value":"QINGER2SJ43RB7QI","created_at":"2026-07-05T08:17:36Z"},{"alias_kind":"pith_short_8","alias_value":"QINGER2S","created_at":"2026-07-05T08:17:36Z"}],"graph_snapshots":[{"event_id":"sha256:85506cfd1871159de78f3da17fc0a7edc7999b47faa4b5356a4bf32cbee26980","target":"graph","created_at":"2026-07-05T08:17:36Z","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/2405.06137/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compute the asymptotics of matrix elements in canonical bases of irreducible representations of the unitary group as the highest weight goes to infinity, in terms of the symplectic geometry of the associated coadjoint orbit. This uses tools of Berezin-Toeplitz quantization, and recovers as a special case the asymptotics of Wigner's d-matrix elements for the spin representations in quantum mechanics.","authors_text":"Louis Ioos","cross_cats":["math-ph","math.DG","math.MP","math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2024-05-09T23:08:42Z","title":"Asymptotics of unitary matrix elements in canonical bases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.06137","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:fec8db421814e3a113446a84bf59aedb8017cc23946d8848692be412fb01c296","target":"record","created_at":"2026-07-05T08:17:36Z","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":"2d8cc594fbc85a257b5d2f6019cdcf4bbfb6832457d758a60b13232eb9aea145","cross_cats_sorted":["math-ph","math.DG","math.MP","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2024-05-09T23:08:42Z","title_canon_sha256":"5fd061c91c8434975d0282fd8bb5751cd9d092e5f60f8d91167969baec23aedf"},"schema_version":"1.0","source":{"id":"2405.06137","kind":"arxiv","version":1}},"canonical_sha256":"821a6247524f3710fe088566d8e03a47247981553ea80f90779a1af637f547ea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"821a6247524f3710fe088566d8e03a47247981553ea80f90779a1af637f547ea","first_computed_at":"2026-07-05T08:17:36.065444Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:17:36.065444Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o0fnvn46xBVVtZ7+dScsN47VD1/hVHd2stJuZuc6HHSjFN45CsNVc/xQka35Af6DdK5ds8f770tJTpYSqWIgDw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:17:36.065946Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.06137","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fec8db421814e3a113446a84bf59aedb8017cc23946d8848692be412fb01c296","sha256:85506cfd1871159de78f3da17fc0a7edc7999b47faa4b5356a4bf32cbee26980"],"state_sha256":"5cbc0df31e2b4cc3a40cf729d242d704184befd4967962462348e462e78b3864"}