{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:JZ4JYT4O5EG7RSPSZY7AH4SDHO","short_pith_number":"pith:JZ4JYT4O","canonical_record":{"source":{"id":"1204.0934","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2012-04-04T12:32:59Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"9106cb67bf7668eef51255043dd3c7b35ce7e1068b409c005bec2bfe589d8f72","abstract_canon_sha256":"04078cb74ff731a376fb48308224a8a624079eef35b6c9568245cb9a7e296168"},"schema_version":"1.0"},"canonical_sha256":"4e789c4f8ee90df8c9f2ce3e03f2433b8d7b5e2bfcd22d8b0261b35156bd57dc","source":{"kind":"arxiv","id":"1204.0934","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.0934","created_at":"2026-05-18T03:56:21Z"},{"alias_kind":"arxiv_version","alias_value":"1204.0934v2","created_at":"2026-05-18T03:56:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0934","created_at":"2026-05-18T03:56:21Z"},{"alias_kind":"pith_short_12","alias_value":"JZ4JYT4O5EG7","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JZ4JYT4O5EG7RSPS","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JZ4JYT4O","created_at":"2026-05-18T12:27:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:JZ4JYT4O5EG7RSPSZY7AH4SDHO","target":"record","payload":{"canonical_record":{"source":{"id":"1204.0934","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2012-04-04T12:32:59Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"9106cb67bf7668eef51255043dd3c7b35ce7e1068b409c005bec2bfe589d8f72","abstract_canon_sha256":"04078cb74ff731a376fb48308224a8a624079eef35b6c9568245cb9a7e296168"},"schema_version":"1.0"},"canonical_sha256":"4e789c4f8ee90df8c9f2ce3e03f2433b8d7b5e2bfcd22d8b0261b35156bd57dc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:56:21.818362Z","signature_b64":"aBdc9udlTcjw3FBQurmvKM5aNlIpghnmlVGaRvx0xqxNn+27EGAfSRjXRnO+cuYi9b6FT5ldEv1Ge6er2ysYCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e789c4f8ee90df8c9f2ce3e03f2433b8d7b5e2bfcd22d8b0261b35156bd57dc","last_reissued_at":"2026-05-18T03:56:21.817739Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:56:21.817739Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.0934","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:56:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fX54b9OzeCrfitzXH6+Fy+uO/W/cFN/Ez89tZYxSOC8HxpYrcfyeZPcM8fdSsUduphn2mUxS6StuEr1SSMZqDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T18:32:10.989506Z"},"content_sha256":"3c308a7f3dc3e204dd876fd0747c7f223b3f4ec7159eaa55c3825f7e49b4e161","schema_version":"1.0","event_id":"sha256:3c308a7f3dc3e204dd876fd0747c7f223b3f4ec7159eaa55c3825f7e49b4e161"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:JZ4JYT4O5EG7RSPSZY7AH4SDHO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coherent states quantization of generalized bergman spaces on the unit ball of cn with a new formula for their associated berezin transforms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.FA","authors_text":"A. Boussejra, Z. Mouayn","submitted_at":"2012-04-04T12:32:59Z","abstract_excerpt":"While dealing with a class of generalized Bergman spaces on the unit ball, we construct for each of these spaces a set of coherent states to apply a coherent states quantization method. This provides us with another way to recover the Berezin transforms attached to these spaces. Finally, a new formula representing these transforms a functions of the Laplace-Beltrami operator is established in terms ofWilson polynomials by using the Fourier-Helgason transform."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0934","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:56:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SvneIilgCNl3JFrvb8V1Lte2Ew5PYkOWLonLRK+KKrWbwB5Wnns+CgQN3zvqDLpAZmP29s9rMtSME12As1NBDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T18:32:10.989852Z"},"content_sha256":"10a65d27f8121fd0287bc55ddfc6f5ecd36bcfe62f1407024e6d00a5688d8b20","schema_version":"1.0","event_id":"sha256:10a65d27f8121fd0287bc55ddfc6f5ecd36bcfe62f1407024e6d00a5688d8b20"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JZ4JYT4O5EG7RSPSZY7AH4SDHO/bundle.json","state_url":"https://pith.science/pith/JZ4JYT4O5EG7RSPSZY7AH4SDHO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JZ4JYT4O5EG7RSPSZY7AH4SDHO/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-22T18:32:10Z","links":{"resolver":"https://pith.science/pith/JZ4JYT4O5EG7RSPSZY7AH4SDHO","bundle":"https://pith.science/pith/JZ4JYT4O5EG7RSPSZY7AH4SDHO/bundle.json","state":"https://pith.science/pith/JZ4JYT4O5EG7RSPSZY7AH4SDHO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JZ4JYT4O5EG7RSPSZY7AH4SDHO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JZ4JYT4O5EG7RSPSZY7AH4SDHO","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":"04078cb74ff731a376fb48308224a8a624079eef35b6c9568245cb9a7e296168","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2012-04-04T12:32:59Z","title_canon_sha256":"9106cb67bf7668eef51255043dd3c7b35ce7e1068b409c005bec2bfe589d8f72"},"schema_version":"1.0","source":{"id":"1204.0934","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.0934","created_at":"2026-05-18T03:56:21Z"},{"alias_kind":"arxiv_version","alias_value":"1204.0934v2","created_at":"2026-05-18T03:56:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0934","created_at":"2026-05-18T03:56:21Z"},{"alias_kind":"pith_short_12","alias_value":"JZ4JYT4O5EG7","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JZ4JYT4O5EG7RSPS","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JZ4JYT4O","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:10a65d27f8121fd0287bc55ddfc6f5ecd36bcfe62f1407024e6d00a5688d8b20","target":"graph","created_at":"2026-05-18T03:56:21Z","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":"While dealing with a class of generalized Bergman spaces on the unit ball, we construct for each of these spaces a set of coherent states to apply a coherent states quantization method. This provides us with another way to recover the Berezin transforms attached to these spaces. Finally, a new formula representing these transforms a functions of the Laplace-Beltrami operator is established in terms ofWilson polynomials by using the Fourier-Helgason transform.","authors_text":"A. Boussejra, Z. Mouayn","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2012-04-04T12:32:59Z","title":"Coherent states quantization of generalized bergman spaces on the unit ball of cn with a new formula for their associated berezin transforms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0934","kind":"arxiv","version":2},"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":"sha256:3c308a7f3dc3e204dd876fd0747c7f223b3f4ec7159eaa55c3825f7e49b4e161","target":"record","created_at":"2026-05-18T03:56:21Z","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":"04078cb74ff731a376fb48308224a8a624079eef35b6c9568245cb9a7e296168","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2012-04-04T12:32:59Z","title_canon_sha256":"9106cb67bf7668eef51255043dd3c7b35ce7e1068b409c005bec2bfe589d8f72"},"schema_version":"1.0","source":{"id":"1204.0934","kind":"arxiv","version":2}},"canonical_sha256":"4e789c4f8ee90df8c9f2ce3e03f2433b8d7b5e2bfcd22d8b0261b35156bd57dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e789c4f8ee90df8c9f2ce3e03f2433b8d7b5e2bfcd22d8b0261b35156bd57dc","first_computed_at":"2026-05-18T03:56:21.817739Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:56:21.817739Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aBdc9udlTcjw3FBQurmvKM5aNlIpghnmlVGaRvx0xqxNn+27EGAfSRjXRnO+cuYi9b6FT5ldEv1Ge6er2ysYCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:56:21.818362Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.0934","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c308a7f3dc3e204dd876fd0747c7f223b3f4ec7159eaa55c3825f7e49b4e161","sha256:10a65d27f8121fd0287bc55ddfc6f5ecd36bcfe62f1407024e6d00a5688d8b20"],"state_sha256":"c074a506b9712c2c2c3b735e5ae78feac48f5a75d45c8785b02a858ffcb82dbc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rWGDuzD4FhPN2FFXGM2/D3FnGN7gzr8PkeBFVTEM/dVD6/jNcE8G6bzFtmhRnlG1ArTYgoTdDJ73tIq4x1f/Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T18:32:10.991796Z","bundle_sha256":"3968b7e8b33d258976f81e0319a550119c65b3934792b3a4d26befe9e2a98f1d"}}