{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:F73JVFPO2MS7ST3OLPCLPADXOW","short_pith_number":"pith:F73JVFPO","schema_version":"1.0","canonical_sha256":"2ff69a95eed325f94f6e5bc4b780777594b95d316ca27aa12aa8de6eaf8d5fd2","source":{"kind":"arxiv","id":"1610.02875","version":1},"attestation_state":"computed","paper":{"title":"Berezin transforms attached to Landau levels on the complex projective space CPn","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Houda Yaqine, Nizar Demni, Zouhair Mouayn","submitted_at":"2016-10-10T12:11:41Z","abstract_excerpt":"In this paper, we construct coherent states for each generalized Bergman space on the n-dimensional complex projective space in order to apply a coherent states quantization method. Doing so allows to define the Berezin transform for these spaces. In particular, we provide a variational formula for this transform by means of the Fubini-Study Laplace operator which reduces when n = 1 and for the lowest spherical Landau level to the well-known formula previously given by Berezin himself."},"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":"1610.02875","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-10-10T12:11:41Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"3e19b0fb3c8c2d85c8e0db2a9d0c0f7d2612dca344679be32434fa8062a2e161","abstract_canon_sha256":"dc4f526f36b3c8ad7784ccaa6fa2fce7f384f17a96056e86de5307decce04677"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:02:50.510071Z","signature_b64":"oy813FamFNpbQGFtrnJpMUM1tYiDiq0BNaXHf34c7iKj3U4i0/MbmKHWrmh7nBMVhrXZ8vnOPke2TQB7xxlBAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ff69a95eed325f94f6e5bc4b780777594b95d316ca27aa12aa8de6eaf8d5fd2","last_reissued_at":"2026-05-18T01:02:50.509453Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:02:50.509453Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Berezin transforms attached to Landau levels on the complex projective space CPn","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Houda Yaqine, Nizar Demni, Zouhair Mouayn","submitted_at":"2016-10-10T12:11:41Z","abstract_excerpt":"In this paper, we construct coherent states for each generalized Bergman space on the n-dimensional complex projective space in order to apply a coherent states quantization method. Doing so allows to define the Berezin transform for these spaces. In particular, we provide a variational formula for this transform by means of the Fubini-Study Laplace operator which reduces when n = 1 and for the lowest spherical Landau level to the well-known formula previously given by Berezin himself."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.02875","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":"1610.02875","created_at":"2026-05-18T01:02:50.509532+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.02875v1","created_at":"2026-05-18T01:02:50.509532+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.02875","created_at":"2026-05-18T01:02:50.509532+00:00"},{"alias_kind":"pith_short_12","alias_value":"F73JVFPO2MS7","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_16","alias_value":"F73JVFPO2MS7ST3O","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_8","alias_value":"F73JVFPO","created_at":"2026-05-18T12:30:15.759754+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/F73JVFPO2MS7ST3OLPCLPADXOW","json":"https://pith.science/pith/F73JVFPO2MS7ST3OLPCLPADXOW.json","graph_json":"https://pith.science/api/pith-number/F73JVFPO2MS7ST3OLPCLPADXOW/graph.json","events_json":"https://pith.science/api/pith-number/F73JVFPO2MS7ST3OLPCLPADXOW/events.json","paper":"https://pith.science/paper/F73JVFPO"},"agent_actions":{"view_html":"https://pith.science/pith/F73JVFPO2MS7ST3OLPCLPADXOW","download_json":"https://pith.science/pith/F73JVFPO2MS7ST3OLPCLPADXOW.json","view_paper":"https://pith.science/paper/F73JVFPO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.02875&json=true","fetch_graph":"https://pith.science/api/pith-number/F73JVFPO2MS7ST3OLPCLPADXOW/graph.json","fetch_events":"https://pith.science/api/pith-number/F73JVFPO2MS7ST3OLPCLPADXOW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F73JVFPO2MS7ST3OLPCLPADXOW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F73JVFPO2MS7ST3OLPCLPADXOW/action/storage_attestation","attest_author":"https://pith.science/pith/F73JVFPO2MS7ST3OLPCLPADXOW/action/author_attestation","sign_citation":"https://pith.science/pith/F73JVFPO2MS7ST3OLPCLPADXOW/action/citation_signature","submit_replication":"https://pith.science/pith/F73JVFPO2MS7ST3OLPCLPADXOW/action/replication_record"}},"created_at":"2026-05-18T01:02:50.509532+00:00","updated_at":"2026-05-18T01:02:50.509532+00:00"}