{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:OO2WOQ653DGGDX4L5SCVZVL3YQ","short_pith_number":"pith:OO2WOQ65","canonical_record":{"source":{"id":"2003.10002","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2020-03-22T21:38:14Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"853175a03582fed97f30c2381dfbddc9a2461116457ed08869e3c4f44b760f67","abstract_canon_sha256":"d4c1b827a6506f98f2baa85d94f38ace60dfeb819d89250af54e69fe8a6d0984"},"schema_version":"1.0"},"canonical_sha256":"73b56743ddd8cc61df8bec855cd57bc4033c25c1d9934a94a007185ec8f92f36","source":{"kind":"arxiv","id":"2003.10002","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.10002","created_at":"2026-07-05T10:43:32Z"},{"alias_kind":"arxiv_version","alias_value":"2003.10002v2","created_at":"2026-07-05T10:43:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.10002","created_at":"2026-07-05T10:43:32Z"},{"alias_kind":"pith_short_12","alias_value":"OO2WOQ653DGG","created_at":"2026-07-05T10:43:32Z"},{"alias_kind":"pith_short_16","alias_value":"OO2WOQ653DGGDX4L","created_at":"2026-07-05T10:43:32Z"},{"alias_kind":"pith_short_8","alias_value":"OO2WOQ65","created_at":"2026-07-05T10:43:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:OO2WOQ653DGGDX4L5SCVZVL3YQ","target":"record","payload":{"canonical_record":{"source":{"id":"2003.10002","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2020-03-22T21:38:14Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"853175a03582fed97f30c2381dfbddc9a2461116457ed08869e3c4f44b760f67","abstract_canon_sha256":"d4c1b827a6506f98f2baa85d94f38ace60dfeb819d89250af54e69fe8a6d0984"},"schema_version":"1.0"},"canonical_sha256":"73b56743ddd8cc61df8bec855cd57bc4033c25c1d9934a94a007185ec8f92f36","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:43:32.609480Z","signature_b64":"K1xZelhq+KZO9MwFcBj4zGv+8SMdCzVD/nTQuO+M5R3K0R/m+mZkgKMiHI+YMKFB6lWHjhw1znqedCyGLx1IDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73b56743ddd8cc61df8bec855cd57bc4033c25c1d9934a94a007185ec8f92f36","last_reissued_at":"2026-07-05T10:43:32.608937Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:43:32.608937Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2003.10002","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":"2026-07-05T10:43:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yW+mkYoyBfZ8dKhnURxPl0Kd3S47DBC+FhtmvpJ7WMQt3nL76HqoRkrYK34oDfq+iZYparv44qU0ddzMXRkUCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-09T05:43:05.369929Z"},"content_sha256":"3254b10a1eecbefb1f385cd8bf68bbd1ecef026dda718e5fbb0b724188372e52","schema_version":"1.0","event_id":"sha256:3254b10a1eecbefb1f385cd8bf68bbd1ecef026dda718e5fbb0b724188372e52"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:OO2WOQ653DGGDX4L5SCVZVL3YQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Noncompact $\\mathbf{CP}^N$ as a phase space of superintegrable systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Armen Nersessian, Erik Khastyan, Hovhannes Shmavonyan","submitted_at":"2020-03-22T21:38:14Z","abstract_excerpt":"We propose the description of superintegrable models with dynamical $so(1.2)$ symmetry, and of the generic superintegrable deformations of oscillator and Coulomb systems in terms of higher-dimensional Klein model (the non-compact analog of complex projective space) playing the role of phase space. We present the expressions of the constants of motion of these systems via Killing potentials defining the $su(N.1)$ isometries of the K\\\"ahler structure."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.10002","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2003.10002/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T10:43:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pniVmq+BBzoIOjRFttgdg4/ishaCkSxLC8bIUfphQduo/yGX/SZQIw/7EKYDKwnX5iyBDm5NHwZomBkZ86ieCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-09T05:43:05.370577Z"},"content_sha256":"10ba213e50d722cb7f161235f3bcb75721c215fdac2802a7dd8d80a5db4a73ed","schema_version":"1.0","event_id":"sha256:10ba213e50d722cb7f161235f3bcb75721c215fdac2802a7dd8d80a5db4a73ed"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OO2WOQ653DGGDX4L5SCVZVL3YQ/bundle.json","state_url":"https://pith.science/pith/OO2WOQ653DGGDX4L5SCVZVL3YQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OO2WOQ653DGGDX4L5SCVZVL3YQ/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":"2026-07-09T05:43:05Z","links":{"resolver":"https://pith.science/pith/OO2WOQ653DGGDX4L5SCVZVL3YQ","bundle":"https://pith.science/pith/OO2WOQ653DGGDX4L5SCVZVL3YQ/bundle.json","state":"https://pith.science/pith/OO2WOQ653DGGDX4L5SCVZVL3YQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OO2WOQ653DGGDX4L5SCVZVL3YQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:OO2WOQ653DGGDX4L5SCVZVL3YQ","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":"d4c1b827a6506f98f2baa85d94f38ace60dfeb819d89250af54e69fe8a6d0984","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2020-03-22T21:38:14Z","title_canon_sha256":"853175a03582fed97f30c2381dfbddc9a2461116457ed08869e3c4f44b760f67"},"schema_version":"1.0","source":{"id":"2003.10002","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.10002","created_at":"2026-07-05T10:43:32Z"},{"alias_kind":"arxiv_version","alias_value":"2003.10002v2","created_at":"2026-07-05T10:43:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.10002","created_at":"2026-07-05T10:43:32Z"},{"alias_kind":"pith_short_12","alias_value":"OO2WOQ653DGG","created_at":"2026-07-05T10:43:32Z"},{"alias_kind":"pith_short_16","alias_value":"OO2WOQ653DGGDX4L","created_at":"2026-07-05T10:43:32Z"},{"alias_kind":"pith_short_8","alias_value":"OO2WOQ65","created_at":"2026-07-05T10:43:32Z"}],"graph_snapshots":[{"event_id":"sha256:10ba213e50d722cb7f161235f3bcb75721c215fdac2802a7dd8d80a5db4a73ed","target":"graph","created_at":"2026-07-05T10:43:32Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2003.10002/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose the description of superintegrable models with dynamical $so(1.2)$ symmetry, and of the generic superintegrable deformations of oscillator and Coulomb systems in terms of higher-dimensional Klein model (the non-compact analog of complex projective space) playing the role of phase space. We present the expressions of the constants of motion of these systems via Killing potentials defining the $su(N.1)$ isometries of the K\\\"ahler structure.","authors_text":"Armen Nersessian, Erik Khastyan, Hovhannes Shmavonyan","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2020-03-22T21:38:14Z","title":"Noncompact $\\mathbf{CP}^N$ as a phase space of superintegrable systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.10002","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":"sha256:3254b10a1eecbefb1f385cd8bf68bbd1ecef026dda718e5fbb0b724188372e52","target":"record","created_at":"2026-07-05T10:43:32Z","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":"d4c1b827a6506f98f2baa85d94f38ace60dfeb819d89250af54e69fe8a6d0984","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2020-03-22T21:38:14Z","title_canon_sha256":"853175a03582fed97f30c2381dfbddc9a2461116457ed08869e3c4f44b760f67"},"schema_version":"1.0","source":{"id":"2003.10002","kind":"arxiv","version":2}},"canonical_sha256":"73b56743ddd8cc61df8bec855cd57bc4033c25c1d9934a94a007185ec8f92f36","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73b56743ddd8cc61df8bec855cd57bc4033c25c1d9934a94a007185ec8f92f36","first_computed_at":"2026-07-05T10:43:32.608937Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:43:32.608937Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K1xZelhq+KZO9MwFcBj4zGv+8SMdCzVD/nTQuO+M5R3K0R/m+mZkgKMiHI+YMKFB6lWHjhw1znqedCyGLx1IDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:43:32.609480Z","signed_message":"canonical_sha256_bytes"},"source_id":"2003.10002","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3254b10a1eecbefb1f385cd8bf68bbd1ecef026dda718e5fbb0b724188372e52","sha256:10ba213e50d722cb7f161235f3bcb75721c215fdac2802a7dd8d80a5db4a73ed"],"state_sha256":"9c7a112f356be25efc774fdd85956164dbbca76a91147bab9811ce9037dbe20d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uELJtGE7sApzWTTamJNkM5w0F2CIS1mtnsbgbZB8uRf5sv2n6eSKmXELGisBGdlPjIBuLnYb93/rINZ80B6rBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-09T05:43:05.373879Z","bundle_sha256":"8da295a1617fdfdd8f30c255195a397a5722124f183ba97e820949366912a643"}}