{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IXR73HDVU73CZEI2HVZG54BBSX","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":"3d1798ab47f6e629345498595e4eec26bf49b2f90c57f25a57e6758510d5d477","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-04-19T08:46:21Z","title_canon_sha256":"112212366447d42cd417d452812010108c33c04e429635fed6cec48787b4df78"},"schema_version":"1.0","source":{"id":"1704.05652","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.05652","created_at":"2026-05-18T00:36:47Z"},{"alias_kind":"arxiv_version","alias_value":"1704.05652v3","created_at":"2026-05-18T00:36:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.05652","created_at":"2026-05-18T00:36:47Z"},{"alias_kind":"pith_short_12","alias_value":"IXR73HDVU73C","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IXR73HDVU73CZEI2","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IXR73HDV","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:dcb6f07c8b6540290f532f7957a4dfa1bc29103c74086ee1323ac2ba57424d56","target":"graph","created_at":"2026-05-18T00:36:47Z","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":"For Toeplitz operators $T_f^{(t)}$ acting on the weighted Fock space $H_t^2$, we consider the semi-commutator $T_f^{(t)}T_g^{(t)}-T_{fg}^{(t)}$, where $t>0$ is a certain weight parameter that may be interpreted as Planck's constant $\\hbar$ in Rieffel's deformation quantization. In particular, we are interested in the semi-classical limit \\tag{$*$}\\lim\\limits_{t\\to 0}\\|T_f^{(t)}T_g^{(t)}-T_{fg}^{(t)}\\|_t. It is well-known that $\\|T_f^{(t)}T_g^{(t)}-T_{fg}^{(t)}\\|_t$ tends to $0$ under certain smoothness assumptions imposed on $f$ and $g$. This result was extended to $f,g \\in \\mathrm{BUC}(\\mathb","authors_text":"Lewis Coburn, Raffael Hagger, Wolfram Bauer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-04-19T08:46:21Z","title":"Toeplitz Quantization on Fock Space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.05652","kind":"arxiv","version":3},"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":"sha256:9bc5b1f0d36a864aec6b89c368d543c23cd8e4ca11f974e9290f2e3e3c3fe503","target":"record","created_at":"2026-05-18T00:36:47Z","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":"3d1798ab47f6e629345498595e4eec26bf49b2f90c57f25a57e6758510d5d477","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-04-19T08:46:21Z","title_canon_sha256":"112212366447d42cd417d452812010108c33c04e429635fed6cec48787b4df78"},"schema_version":"1.0","source":{"id":"1704.05652","kind":"arxiv","version":3}},"canonical_sha256":"45e3fd9c75a7f62c911a3d726ef02195d41174198c00cac02f1a36bf8d618dff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"45e3fd9c75a7f62c911a3d726ef02195d41174198c00cac02f1a36bf8d618dff","first_computed_at":"2026-05-18T00:36:47.490053Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:47.490053Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D8FXO8yREVW8x923Ma9jhlT6xigCQKf0wunT0Qfke8Lx031nqT5zSTpMKFaswQglwxGhb89Ges0SJ9URIVFFAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:47.490519Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.05652","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9bc5b1f0d36a864aec6b89c368d543c23cd8e4ca11f974e9290f2e3e3c3fe503","sha256:dcb6f07c8b6540290f532f7957a4dfa1bc29103c74086ee1323ac2ba57424d56"],"state_sha256":"5514700a17b82c6914b495dc247694f843d5f83287c11525455fac056852d22e"}