{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:I5HCJRPD7KM77QHIPRISSXZNTY","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":"8b85b28f0e403279a1af636ae012fe9f1226769570eed547f3da1060fbc5fb07","cross_cats_sorted":["math.AP","math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-11-11T13:28:17Z","title_canon_sha256":"dcd16a5a54e433ff0f0943edc20f2a128176dacf15dc75f8465da9cb6ec06e7b"},"schema_version":"1.0","source":{"id":"1311.2436","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.2436","created_at":"2026-05-18T02:31:36Z"},{"alias_kind":"arxiv_version","alias_value":"1311.2436v2","created_at":"2026-05-18T02:31:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.2436","created_at":"2026-05-18T02:31:36Z"},{"alias_kind":"pith_short_12","alias_value":"I5HCJRPD7KM7","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"I5HCJRPD7KM77QHI","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"I5HCJRPD","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:0ab84cf0ee9a3f15587861d0dc57e4c62ce0e95df1ca060addc0ba2fbd34d0ff","target":"graph","created_at":"2026-05-18T02:31:36Z","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"},"paper":{"abstract_excerpt":"We prove equivariant spectral asymptotics for $ h$-pseudodifferential operators for compact orthogonal group actions generalizing results of El-Houakmi and Helffer (1991) and Cassanas (2006). Using recent results for certain oscillatory integrals with singular critical sets (Ramacher 2010) we can deduce a weak equivariant Weyl law. Furthermore, we can prove a complete asymptotic expansion for the Gutzwiller trace formula without any additional condition on the group action by a suitable generalization of the dynamical assumptions on the Hamilton flow.","authors_text":"Tobias Weich","cross_cats":["math.AP","math.MP","math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-11-11T13:28:17Z","title":"Equivariant spectral asymptotics for h-pseudodifferential operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.2436","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":"sha256:3ded18217b818300273c4183620bb3ebab33c341ffc81deff560425ed10bd4de","target":"record","created_at":"2026-05-18T02:31:36Z","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":"8b85b28f0e403279a1af636ae012fe9f1226769570eed547f3da1060fbc5fb07","cross_cats_sorted":["math.AP","math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-11-11T13:28:17Z","title_canon_sha256":"dcd16a5a54e433ff0f0943edc20f2a128176dacf15dc75f8465da9cb6ec06e7b"},"schema_version":"1.0","source":{"id":"1311.2436","kind":"arxiv","version":2}},"canonical_sha256":"474e24c5e3fa99ffc0e87c51295f2d9e1090aea94b8aa36e1a73e76e05a79667","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"474e24c5e3fa99ffc0e87c51295f2d9e1090aea94b8aa36e1a73e76e05a79667","first_computed_at":"2026-05-18T02:31:36.117010Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:31:36.117010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zJOXrEW3UbH9f9f98lBiQ5xO1hj3L6Has1I6/cNVzRnNJx4+o+w6GRr6pB0mwb3nOqw0U517h9B4fGVMQ85GAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:31:36.117640Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.2436","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ded18217b818300273c4183620bb3ebab33c341ffc81deff560425ed10bd4de","sha256:0ab84cf0ee9a3f15587861d0dc57e4c62ce0e95df1ca060addc0ba2fbd34d0ff"],"state_sha256":"069e7677a553c1a072194fa545ed03702b3f1dfe89c25ab95806af36ddad0fa0"}