{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:KKZCYV4UVOVREJCC6LY52BOFP5","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":"373aca2ea76bec0fb92de11ee81e3ba18b0500880f4a4d751da9897dba755402","cross_cats_sorted":["math.DS","math.GT","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-02-09T15:37:30Z","title_canon_sha256":"10c2c3c081b6266b940612150c8e6de573d5370df739f24c4d0a857c3a74240f"},"schema_version":"1.0","source":{"id":"2402.06477","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.06477","created_at":"2026-07-05T12:01:17Z"},{"alias_kind":"arxiv_version","alias_value":"2402.06477v2","created_at":"2026-07-05T12:01:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.06477","created_at":"2026-07-05T12:01:17Z"},{"alias_kind":"pith_short_12","alias_value":"KKZCYV4UVOVR","created_at":"2026-07-05T12:01:17Z"},{"alias_kind":"pith_short_16","alias_value":"KKZCYV4UVOVREJCC","created_at":"2026-07-05T12:01:17Z"},{"alias_kind":"pith_short_8","alias_value":"KKZCYV4U","created_at":"2026-07-05T12:01:17Z"}],"graph_snapshots":[{"event_id":"sha256:594f4e2cefa2b2efcb91afe9b8f361cd1993287efdee76d8ff1ed139daa9b884","target":"graph","created_at":"2026-07-05T12:01:17Z","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/2402.06477/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study semiclassical measures for Laplacian eigenfunctions on compact complex hyperbolic quotients. Geodesic flows on these quotients are a model case of hyperbolic dynamical systems with different expansion/contraction rates in different directions. We show that the support of any semiclassical measure is either equal to the entire cosphere bundle or contains the cosphere bundle of a compact immersed totally geodesic complex submanifold.\n  The proof uses the one-dimensional fractal uncertainty principle of Bourgain-Dyatlov [arXiv:1612.09040] along the fast expanding/contracting directions, ","authors_text":"Jayadev Athreya, Nicholas Miller, Semyon Dyatlov","cross_cats":["math.DS","math.GT","math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-02-09T15:37:30Z","title":"Semiclassical measures for complex hyperbolic quotients"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.06477","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":"sha256:44719fdf777955da1cc385f31d79941554ba8b21103afdd2d596438451bf6815","target":"record","created_at":"2026-07-05T12:01:17Z","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":"373aca2ea76bec0fb92de11ee81e3ba18b0500880f4a4d751da9897dba755402","cross_cats_sorted":["math.DS","math.GT","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-02-09T15:37:30Z","title_canon_sha256":"10c2c3c081b6266b940612150c8e6de573d5370df739f24c4d0a857c3a74240f"},"schema_version":"1.0","source":{"id":"2402.06477","kind":"arxiv","version":2}},"canonical_sha256":"52b22c5794abab122442f2f1dd05c57f4ecd056b7904ffe12fdf64a85aa3e2af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"52b22c5794abab122442f2f1dd05c57f4ecd056b7904ffe12fdf64a85aa3e2af","first_computed_at":"2026-07-05T12:01:17.811151Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:01:17.811151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+j/cXt66KsaZIhxIEly73iGLVUd+CYFE+ls1lnAMz0TJb12QtOWWpFaMNWa475PQNzPqp6uyfBlqy/7A+Zq3DA==","signature_status":"signed_v1","signed_at":"2026-07-05T12:01:17.811663Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.06477","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:44719fdf777955da1cc385f31d79941554ba8b21103afdd2d596438451bf6815","sha256:594f4e2cefa2b2efcb91afe9b8f361cd1993287efdee76d8ff1ed139daa9b884"],"state_sha256":"3b6a92f9a2239a5aa2052af855a12be6f90e151028b5eb29438147cce8815623"}