{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:3ESLXU3RDIVP4A4SVASWYPIGOO","short_pith_number":"pith:3ESLXU3R","schema_version":"1.0","canonical_sha256":"d924bbd3711a2afe0392a8256c3d0673bb2aedc77b60a2641b61f5eb5a4e9d57","source":{"kind":"arxiv","id":"1409.0368","version":1},"attestation_state":"computed","paper":{"title":"Bergman representative coordinates on the Siegel-Jacobi disk","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Stefan Berceanu","submitted_at":"2014-09-01T11:26:33Z","abstract_excerpt":"We underline some differences between the geometric aspect of Berezin's approach to quantization on homogeneous K\\\"ahler manifolds and Bergman's construction for bounded domains in $\\mathbb{C}^n$. We construct explicitly the Bergman representative coordinates for the Siegel-Jacobi disk $\\mathcal{D}^J_1$, which is a partially bounded manifold whose points belong to $\\mathbb{C}\\times\\mathcal{D}_1$, where $\\mathcal{D}_1$ denotes the Siegel disk. The Bergman representative coordinates on $\\mathcal{D}^J_1$ are globally defined, the Siegel-Jacobi disk is a normal K\\\"ahler homogeneous Lu Qi-Keng mani"},"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":"1409.0368","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-09-01T11:26:33Z","cross_cats_sorted":[],"title_canon_sha256":"dfe19549bdf5f35f8b9e894c88c566842516c0ca88e973d94a6da377aa42b2cc","abstract_canon_sha256":"4ce714ee2973510d06eeee06f0f5325b69b2fa073ec286b2f5c299673e3c663f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:43:52.910466Z","signature_b64":"8FpAX8XybPxfFtj5VBifF7WuRZUEGkS7HOG628TSLmw5igNCbys/gXX8eTDZ4c9wIQehH4gSRGT0h1NLVTseCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d924bbd3711a2afe0392a8256c3d0673bb2aedc77b60a2641b61f5eb5a4e9d57","last_reissued_at":"2026-05-18T02:43:52.910079Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:43:52.910079Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bergman representative coordinates on the Siegel-Jacobi disk","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Stefan Berceanu","submitted_at":"2014-09-01T11:26:33Z","abstract_excerpt":"We underline some differences between the geometric aspect of Berezin's approach to quantization on homogeneous K\\\"ahler manifolds and Bergman's construction for bounded domains in $\\mathbb{C}^n$. We construct explicitly the Bergman representative coordinates for the Siegel-Jacobi disk $\\mathcal{D}^J_1$, which is a partially bounded manifold whose points belong to $\\mathbb{C}\\times\\mathcal{D}_1$, where $\\mathcal{D}_1$ denotes the Siegel disk. The Bergman representative coordinates on $\\mathcal{D}^J_1$ are globally defined, the Siegel-Jacobi disk is a normal K\\\"ahler homogeneous Lu Qi-Keng mani"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.0368","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":"1409.0368","created_at":"2026-05-18T02:43:52.910140+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.0368v1","created_at":"2026-05-18T02:43:52.910140+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.0368","created_at":"2026-05-18T02:43:52.910140+00:00"},{"alias_kind":"pith_short_12","alias_value":"3ESLXU3RDIVP","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_16","alias_value":"3ESLXU3RDIVP4A4S","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_8","alias_value":"3ESLXU3R","created_at":"2026-05-18T12:28:11.866339+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/3ESLXU3RDIVP4A4SVASWYPIGOO","json":"https://pith.science/pith/3ESLXU3RDIVP4A4SVASWYPIGOO.json","graph_json":"https://pith.science/api/pith-number/3ESLXU3RDIVP4A4SVASWYPIGOO/graph.json","events_json":"https://pith.science/api/pith-number/3ESLXU3RDIVP4A4SVASWYPIGOO/events.json","paper":"https://pith.science/paper/3ESLXU3R"},"agent_actions":{"view_html":"https://pith.science/pith/3ESLXU3RDIVP4A4SVASWYPIGOO","download_json":"https://pith.science/pith/3ESLXU3RDIVP4A4SVASWYPIGOO.json","view_paper":"https://pith.science/paper/3ESLXU3R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.0368&json=true","fetch_graph":"https://pith.science/api/pith-number/3ESLXU3RDIVP4A4SVASWYPIGOO/graph.json","fetch_events":"https://pith.science/api/pith-number/3ESLXU3RDIVP4A4SVASWYPIGOO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3ESLXU3RDIVP4A4SVASWYPIGOO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3ESLXU3RDIVP4A4SVASWYPIGOO/action/storage_attestation","attest_author":"https://pith.science/pith/3ESLXU3RDIVP4A4SVASWYPIGOO/action/author_attestation","sign_citation":"https://pith.science/pith/3ESLXU3RDIVP4A4SVASWYPIGOO/action/citation_signature","submit_replication":"https://pith.science/pith/3ESLXU3RDIVP4A4SVASWYPIGOO/action/replication_record"}},"created_at":"2026-05-18T02:43:52.910140+00:00","updated_at":"2026-05-18T02:43:52.910140+00:00"}