{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:UQ6PXYN7XOEDBE34RCNWCXSLPU","short_pith_number":"pith:UQ6PXYN7","schema_version":"1.0","canonical_sha256":"a43cfbe1bfbb8830937c889b615e4b7d2e4d0b6caca3076fc6284240638c3165","source":{"kind":"arxiv","id":"quant-ph/0610080","version":1},"attestation_state":"computed","paper":{"title":"Fuzzy spheres from inequivalent coherent states quantizations","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Eric Huguet (APC), Jacques Renaud (APC), Jean-Pierre Gazeau (APC), Marc Lachi\\`eze-Rey (APC)","submitted_at":"2006-10-10T18:59:16Z","abstract_excerpt":"We present a new procedure which allows a coherent state (CS) quantization of any set with a measure. It is manifest through the replacement of classical observables by CS quantum observables, which acts on a Hilbert space of prescribed dimension $N$. The algebra of CS quantum observables has the finite dimension $N^2$. The application to the 2-sphere provides a family of inequivalent CS quantizations, based on the spin spherical harmonics (the CS quantization from usual spherical harmonics appears to give a trivial issue for the cartesian coordinates). We compare these CS quantizations to the"},"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":"quant-ph/0610080","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2006-10-10T18:59:16Z","cross_cats_sorted":[],"title_canon_sha256":"da57575678e9855d64266e517d9eda32cc5440f8d1ca8be3c1345a4485818baa","abstract_canon_sha256":"ddc880f1d0bec0e05169c107fbb0510d3e8725731bc7219346d8bbf44de4b940"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:01:36.593159Z","signature_b64":"J//nDC17LbdlJ8y3qZXBquqGgZ06XHIZmXShI0raODLUQIHHF8p+5vvkPzjTE/Y4aRT6C40HK0wcW8DekhRIDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a43cfbe1bfbb8830937c889b615e4b7d2e4d0b6caca3076fc6284240638c3165","last_reissued_at":"2026-05-18T04:01:36.592384Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:01:36.592384Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fuzzy spheres from inequivalent coherent states quantizations","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Eric Huguet (APC), Jacques Renaud (APC), Jean-Pierre Gazeau (APC), Marc Lachi\\`eze-Rey (APC)","submitted_at":"2006-10-10T18:59:16Z","abstract_excerpt":"We present a new procedure which allows a coherent state (CS) quantization of any set with a measure. It is manifest through the replacement of classical observables by CS quantum observables, which acts on a Hilbert space of prescribed dimension $N$. The algebra of CS quantum observables has the finite dimension $N^2$. The application to the 2-sphere provides a family of inequivalent CS quantizations, based on the spin spherical harmonics (the CS quantization from usual spherical harmonics appears to give a trivial issue for the cartesian coordinates). We compare these CS quantizations to the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0610080","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":"quant-ph/0610080","created_at":"2026-05-18T04:01:36.592506+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0610080v1","created_at":"2026-05-18T04:01:36.592506+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0610080","created_at":"2026-05-18T04:01:36.592506+00:00"},{"alias_kind":"pith_short_12","alias_value":"UQ6PXYN7XOED","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_16","alias_value":"UQ6PXYN7XOEDBE34","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_8","alias_value":"UQ6PXYN7","created_at":"2026-05-18T12:25:54.717736+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/UQ6PXYN7XOEDBE34RCNWCXSLPU","json":"https://pith.science/pith/UQ6PXYN7XOEDBE34RCNWCXSLPU.json","graph_json":"https://pith.science/api/pith-number/UQ6PXYN7XOEDBE34RCNWCXSLPU/graph.json","events_json":"https://pith.science/api/pith-number/UQ6PXYN7XOEDBE34RCNWCXSLPU/events.json","paper":"https://pith.science/paper/UQ6PXYN7"},"agent_actions":{"view_html":"https://pith.science/pith/UQ6PXYN7XOEDBE34RCNWCXSLPU","download_json":"https://pith.science/pith/UQ6PXYN7XOEDBE34RCNWCXSLPU.json","view_paper":"https://pith.science/paper/UQ6PXYN7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0610080&json=true","fetch_graph":"https://pith.science/api/pith-number/UQ6PXYN7XOEDBE34RCNWCXSLPU/graph.json","fetch_events":"https://pith.science/api/pith-number/UQ6PXYN7XOEDBE34RCNWCXSLPU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UQ6PXYN7XOEDBE34RCNWCXSLPU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UQ6PXYN7XOEDBE34RCNWCXSLPU/action/storage_attestation","attest_author":"https://pith.science/pith/UQ6PXYN7XOEDBE34RCNWCXSLPU/action/author_attestation","sign_citation":"https://pith.science/pith/UQ6PXYN7XOEDBE34RCNWCXSLPU/action/citation_signature","submit_replication":"https://pith.science/pith/UQ6PXYN7XOEDBE34RCNWCXSLPU/action/replication_record"}},"created_at":"2026-05-18T04:01:36.592506+00:00","updated_at":"2026-05-18T04:01:36.592506+00:00"}