{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:32JRR5Q4QTSBTHBXHJ3CVTNNV6","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":"67d3cdd823db95f2254ce17413552a78e9ab906a78faf173aafc5206159ccb5e","cross_cats_sorted":["math.MP","math.RT"],"license":"","primary_cat":"math-ph","submitted_at":"2000-08-28T22:15:58Z","title_canon_sha256":"93ac0488772d34145cb5b16f7e7595bacb5cb62f39bafd5ec4b8a7fe340d1b66"},"schema_version":"1.0","source":{"id":"math-ph/0008038","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0008038","created_at":"2026-05-18T04:29:34Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0008038v1","created_at":"2026-05-18T04:29:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0008038","created_at":"2026-05-18T04:29:34Z"},{"alias_kind":"pith_short_12","alias_value":"32JRR5Q4QTSB","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"32JRR5Q4QTSBTHBX","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"32JRR5Q4","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:0313d5c786de8d05556f033daa6be3f46aeb7281d8076ddcfdccec243fb53999","target":"graph","created_at":"2026-05-18T04:29:34Z","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":"The approach of Berezin to the quantization of so(n,2) via generalized coherent states is considered in detail. A family of n commuting observables is found in which the basis for an associated Fock-type representation space is expressed. An interesting feature is that computations can be done by explicit matrix calculations in a particular basis. The basic technical tool is the Leibniz function, the inner product of coherent states.","authors_text":"J. Kocik, M. Giering, Ph. Feinsilver","cross_cats":["math.MP","math.RT"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2000-08-28T22:15:58Z","title":"Canonical variables and analysis on so(n,2)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0008038","kind":"arxiv","version":1},"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":"sha256:78cb8090794fc7088939f97a2c7700b3391f202ff1ec08d451d897ae8d023800","target":"record","created_at":"2026-05-18T04:29:34Z","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":"67d3cdd823db95f2254ce17413552a78e9ab906a78faf173aafc5206159ccb5e","cross_cats_sorted":["math.MP","math.RT"],"license":"","primary_cat":"math-ph","submitted_at":"2000-08-28T22:15:58Z","title_canon_sha256":"93ac0488772d34145cb5b16f7e7595bacb5cb62f39bafd5ec4b8a7fe340d1b66"},"schema_version":"1.0","source":{"id":"math-ph/0008038","kind":"arxiv","version":1}},"canonical_sha256":"de9318f61c84e4199c373a762acdadaf8d452db942ae59e54e68d4fe16da7b05","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de9318f61c84e4199c373a762acdadaf8d452db942ae59e54e68d4fe16da7b05","first_computed_at":"2026-05-18T04:29:34.009777Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:29:34.009777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xBjjdbIwOBQMQRRbXIwq/mhMy1JBHFNp7fVb5yBJ25wRJsKC/vi3vH1ZBQRrdItTuweB94ExjXJ9TvgAuO0HCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:29:34.010326Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0008038","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:78cb8090794fc7088939f97a2c7700b3391f202ff1ec08d451d897ae8d023800","sha256:0313d5c786de8d05556f033daa6be3f46aeb7281d8076ddcfdccec243fb53999"],"state_sha256":"a6689f9ddb5d0acf550056aaada34d390e60856e76f840b70d7a0c862c3951b9"}