{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:MNAHG2SA57OVA3NVXKVQKDQKOT","short_pith_number":"pith:MNAHG2SA","schema_version":"1.0","canonical_sha256":"6340736a40efdd506db5baab050e0a74e8e13e3a4c99e50407db032005021231","source":{"kind":"arxiv","id":"1107.3269","version":1},"attestation_state":"computed","paper":{"title":"On Toeplitz localization operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.FA","authors_text":"M\\'aria Hutn\\'ikov\\'a, Ondrej Hutn\\'ik","submitted_at":"2011-07-17T01:43:09Z","abstract_excerpt":"We present a unified approach to study properties of Toeplitz localization operators based on the Calder\\'on and Gabor reproducing formula. We show that these operators with functional symbols on a plane domain may be viewed as certain pseudodifferential operators (with symbols on a line, or certain compound symbols)."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1107.3269","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-07-17T01:43:09Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"13e8c9d258da8d01f33138b051fea5bf0212b4a711bf4ab1c297729fb80f4c6c","abstract_canon_sha256":"1e73743a9a029e5099b0b9666e64d157f1b0d634a1c10516e4dac483b43d607d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:51:23.811082Z","signature_b64":"qyfJbw/kujZPQXLT06mr/3Oi8GlzeIx6j7yZ31ViIsmzZ2R1gaZQ0Q6qJQ7Ix6jLXz0TIDxsm7s9pWltFWPeBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6340736a40efdd506db5baab050e0a74e8e13e3a4c99e50407db032005021231","last_reissued_at":"2026-05-18T03:51:23.810404Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:51:23.810404Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Toeplitz localization operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.FA","authors_text":"M\\'aria Hutn\\'ikov\\'a, Ondrej Hutn\\'ik","submitted_at":"2011-07-17T01:43:09Z","abstract_excerpt":"We present a unified approach to study properties of Toeplitz localization operators based on the Calder\\'on and Gabor reproducing formula. We show that these operators with functional symbols on a plane domain may be viewed as certain pseudodifferential operators (with symbols on a line, or certain compound symbols)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.3269","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1107.3269","created_at":"2026-05-18T03:51:23.810497+00:00"},{"alias_kind":"arxiv_version","alias_value":"1107.3269v1","created_at":"2026-05-18T03:51:23.810497+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.3269","created_at":"2026-05-18T03:51:23.810497+00:00"},{"alias_kind":"pith_short_12","alias_value":"MNAHG2SA57OV","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_16","alias_value":"MNAHG2SA57OVA3NV","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_8","alias_value":"MNAHG2SA","created_at":"2026-05-18T12:26:34.985390+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MNAHG2SA57OVA3NVXKVQKDQKOT","json":"https://pith.science/pith/MNAHG2SA57OVA3NVXKVQKDQKOT.json","graph_json":"https://pith.science/api/pith-number/MNAHG2SA57OVA3NVXKVQKDQKOT/graph.json","events_json":"https://pith.science/api/pith-number/MNAHG2SA57OVA3NVXKVQKDQKOT/events.json","paper":"https://pith.science/paper/MNAHG2SA"},"agent_actions":{"view_html":"https://pith.science/pith/MNAHG2SA57OVA3NVXKVQKDQKOT","download_json":"https://pith.science/pith/MNAHG2SA57OVA3NVXKVQKDQKOT.json","view_paper":"https://pith.science/paper/MNAHG2SA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1107.3269&json=true","fetch_graph":"https://pith.science/api/pith-number/MNAHG2SA57OVA3NVXKVQKDQKOT/graph.json","fetch_events":"https://pith.science/api/pith-number/MNAHG2SA57OVA3NVXKVQKDQKOT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MNAHG2SA57OVA3NVXKVQKDQKOT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MNAHG2SA57OVA3NVXKVQKDQKOT/action/storage_attestation","attest_author":"https://pith.science/pith/MNAHG2SA57OVA3NVXKVQKDQKOT/action/author_attestation","sign_citation":"https://pith.science/pith/MNAHG2SA57OVA3NVXKVQKDQKOT/action/citation_signature","submit_replication":"https://pith.science/pith/MNAHG2SA57OVA3NVXKVQKDQKOT/action/replication_record"}},"created_at":"2026-05-18T03:51:23.810497+00:00","updated_at":"2026-05-18T03:51:23.810497+00:00"}