{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ARJWEDKJKB5D7PVDDMGTJCMIC4","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":"08e530dd94fc2a97a9ede299f1306aac5157b085bec02cdeed0c67f025e5cf1a","cross_cats_sorted":["math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2014-04-23T11:36:38Z","title_canon_sha256":"5a5fcf425be1e65c1ce3949aa2776722287f570b55502f97b3df04b18e77f5f9"},"schema_version":"1.0","source":{"id":"1404.5791","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.5791","created_at":"2026-05-18T02:53:27Z"},{"alias_kind":"arxiv_version","alias_value":"1404.5791v1","created_at":"2026-05-18T02:53:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.5791","created_at":"2026-05-18T02:53:27Z"},{"alias_kind":"pith_short_12","alias_value":"ARJWEDKJKB5D","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"ARJWEDKJKB5D7PVD","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"ARJWEDKJ","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:5470ddf4b41aa9f529348eb2c5f97d6df612f87249993ad94e08d412ded5ff11","target":"graph","created_at":"2026-05-18T02:53:27Z","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":"Let $X$ be the unit circle bundle of a positive line bundle on a Hodge manifold. We study the local scaling asymptotics of the smoothed spectral projectors associated to a first order elliptic T\\\"{o}plitz operator $T$ on $X$, possibly in the presence of Hamiltonian symmetries. The resulting expansion is then used to give a local derivation of an equivariant Weyl law. It is not required that $T$ be invariant under the structure circle action, that is, $T$ needn't be a Berezin-T\\\"{o}plitz operator.","authors_text":"Roberto Paoletti","cross_cats":["math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2014-04-23T11:36:38Z","title":"Equivariant local scaling asymptotics for smoothed T\\\"{o}plitz spectral projectors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.5791","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:e086ee79986946ab7fa864e4ba728f66ec627e43396126e9edd39ed7eb869b29","target":"record","created_at":"2026-05-18T02:53:27Z","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":"08e530dd94fc2a97a9ede299f1306aac5157b085bec02cdeed0c67f025e5cf1a","cross_cats_sorted":["math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2014-04-23T11:36:38Z","title_canon_sha256":"5a5fcf425be1e65c1ce3949aa2776722287f570b55502f97b3df04b18e77f5f9"},"schema_version":"1.0","source":{"id":"1404.5791","kind":"arxiv","version":1}},"canonical_sha256":"0453620d49507a3fbea31b0d348988173dc35712d1865eb9894daf84840d65be","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0453620d49507a3fbea31b0d348988173dc35712d1865eb9894daf84840d65be","first_computed_at":"2026-05-18T02:53:27.901310Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:53:27.901310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AN0CJEK6nA6p2yBpqyOP9MmbO9JYjBaDsgFAF7ONgaEXAaShgwKPoJ74Cwi4+LmBubaddiW6FaDfpoNHXZU2Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:53:27.902107Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.5791","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e086ee79986946ab7fa864e4ba728f66ec627e43396126e9edd39ed7eb869b29","sha256:5470ddf4b41aa9f529348eb2c5f97d6df612f87249993ad94e08d412ded5ff11"],"state_sha256":"26e6b7358f576308aee52812e4f60706fa89db12c698a37c52bdc09d0a140975"}