{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:N5OQRKZ5LG36JQHSCHIQJCPEYE","short_pith_number":"pith:N5OQRKZ5","canonical_record":{"source":{"id":"1212.1663","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-07T17:27:33Z","cross_cats_sorted":[],"title_canon_sha256":"0444a93232f654e49f544e56ed7897280e0036c60ff8ec2d772bec17488d1a16","abstract_canon_sha256":"818ee7d222f19ee7feb5779858fd952fc2d08d7b2d91bb688c0a3e4cdce29fdc"},"schema_version":"1.0"},"canonical_sha256":"6f5d08ab3d59b7e4c0f211d10489e4c1213d1b81f69fd648ca2cfbb7c7c64daa","source":{"kind":"arxiv","id":"1212.1663","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.1663","created_at":"2026-05-18T02:32:39Z"},{"alias_kind":"arxiv_version","alias_value":"1212.1663v2","created_at":"2026-05-18T02:32:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.1663","created_at":"2026-05-18T02:32:39Z"},{"alias_kind":"pith_short_12","alias_value":"N5OQRKZ5LG36","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"N5OQRKZ5LG36JQHS","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"N5OQRKZ5","created_at":"2026-05-18T12:27:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:N5OQRKZ5LG36JQHSCHIQJCPEYE","target":"record","payload":{"canonical_record":{"source":{"id":"1212.1663","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-07T17:27:33Z","cross_cats_sorted":[],"title_canon_sha256":"0444a93232f654e49f544e56ed7897280e0036c60ff8ec2d772bec17488d1a16","abstract_canon_sha256":"818ee7d222f19ee7feb5779858fd952fc2d08d7b2d91bb688c0a3e4cdce29fdc"},"schema_version":"1.0"},"canonical_sha256":"6f5d08ab3d59b7e4c0f211d10489e4c1213d1b81f69fd648ca2cfbb7c7c64daa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:39.187100Z","signature_b64":"qFMmXWMiVZblRSBsJTsnXoauMUEads5xnEp/u5BaA2NiCAD1LJ7t73GY30R1ye0hes4uuSDD6KhtNL/dIc9GCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6f5d08ab3d59b7e4c0f211d10489e4c1213d1b81f69fd648ca2cfbb7c7c64daa","last_reissued_at":"2026-05-18T02:32:39.185893Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:39.185893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.1663","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":"2026-05-18T02:32:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"88d+QlSVFBptRQ7Uhw3UJODPux1FuExVpSdoQVIkGAltWssUCsJco/V0HEmQh5T0wycNXCcTzU2oBcUzikveAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T13:44:09.189685Z"},"content_sha256":"c491a8527404b6a3288d84829a0db339806904117c4c1a1c3438129e5fb5fec6","schema_version":"1.0","event_id":"sha256:c491a8527404b6a3288d84829a0db339806904117c4c1a1c3438129e5fb5fec6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:N5OQRKZ5LG36JQHSCHIQJCPEYE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Isospin particle systems on quaternionic projective spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Armen Nersessian, Sergey Krivonos, Stefano Bellucci, Vahagn Yeghikyan","submitted_at":"2012-12-07T17:27:33Z","abstract_excerpt":"We construct the isospin particle system on $n$-dimensional quaternionic projective spaces in the presence of BPST-instanton by the reduction from the free particle on $(2n+1)$-dimensional complex projective space. Then we add to this system a \"quaternionic oscillator potential\" and show, that this oscillator-like system is superintegrable. We show, that besides the analogs of quadratic constants of motion of the spherical (Higgs) and $\\mathbb{C}P^n $- oscillators, it possesses the third-order constants of motion, which are functionally independent from the quadratic ones."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1663","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":"2026-05-18T02:32:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1bGNcILmPX7sWzijrJSjsjK/n6yVwwKfU3UKunR0sNnwsXzJ+wzbpp5/J61tMt4KgaUZNT45/qZYsETRMjo/Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T13:44:09.190029Z"},"content_sha256":"4da4682424bdfd023427c8f2f9de873446cacdbf5de8dc1a7918ab41cd3fae53","schema_version":"1.0","event_id":"sha256:4da4682424bdfd023427c8f2f9de873446cacdbf5de8dc1a7918ab41cd3fae53"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N5OQRKZ5LG36JQHSCHIQJCPEYE/bundle.json","state_url":"https://pith.science/pith/N5OQRKZ5LG36JQHSCHIQJCPEYE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N5OQRKZ5LG36JQHSCHIQJCPEYE/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":"2026-06-08T13:44:09Z","links":{"resolver":"https://pith.science/pith/N5OQRKZ5LG36JQHSCHIQJCPEYE","bundle":"https://pith.science/pith/N5OQRKZ5LG36JQHSCHIQJCPEYE/bundle.json","state":"https://pith.science/pith/N5OQRKZ5LG36JQHSCHIQJCPEYE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N5OQRKZ5LG36JQHSCHIQJCPEYE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:N5OQRKZ5LG36JQHSCHIQJCPEYE","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":"818ee7d222f19ee7feb5779858fd952fc2d08d7b2d91bb688c0a3e4cdce29fdc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-07T17:27:33Z","title_canon_sha256":"0444a93232f654e49f544e56ed7897280e0036c60ff8ec2d772bec17488d1a16"},"schema_version":"1.0","source":{"id":"1212.1663","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.1663","created_at":"2026-05-18T02:32:39Z"},{"alias_kind":"arxiv_version","alias_value":"1212.1663v2","created_at":"2026-05-18T02:32:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.1663","created_at":"2026-05-18T02:32:39Z"},{"alias_kind":"pith_short_12","alias_value":"N5OQRKZ5LG36","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"N5OQRKZ5LG36JQHS","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"N5OQRKZ5","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:4da4682424bdfd023427c8f2f9de873446cacdbf5de8dc1a7918ab41cd3fae53","target":"graph","created_at":"2026-05-18T02:32:39Z","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":"We construct the isospin particle system on $n$-dimensional quaternionic projective spaces in the presence of BPST-instanton by the reduction from the free particle on $(2n+1)$-dimensional complex projective space. Then we add to this system a \"quaternionic oscillator potential\" and show, that this oscillator-like system is superintegrable. We show, that besides the analogs of quadratic constants of motion of the spherical (Higgs) and $\\mathbb{C}P^n $- oscillators, it possesses the third-order constants of motion, which are functionally independent from the quadratic ones.","authors_text":"Armen Nersessian, Sergey Krivonos, Stefano Bellucci, Vahagn Yeghikyan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-07T17:27:33Z","title":"Isospin particle systems on quaternionic projective spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1663","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:c491a8527404b6a3288d84829a0db339806904117c4c1a1c3438129e5fb5fec6","target":"record","created_at":"2026-05-18T02:32:39Z","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":"818ee7d222f19ee7feb5779858fd952fc2d08d7b2d91bb688c0a3e4cdce29fdc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-07T17:27:33Z","title_canon_sha256":"0444a93232f654e49f544e56ed7897280e0036c60ff8ec2d772bec17488d1a16"},"schema_version":"1.0","source":{"id":"1212.1663","kind":"arxiv","version":2}},"canonical_sha256":"6f5d08ab3d59b7e4c0f211d10489e4c1213d1b81f69fd648ca2cfbb7c7c64daa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6f5d08ab3d59b7e4c0f211d10489e4c1213d1b81f69fd648ca2cfbb7c7c64daa","first_computed_at":"2026-05-18T02:32:39.185893Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:39.185893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qFMmXWMiVZblRSBsJTsnXoauMUEads5xnEp/u5BaA2NiCAD1LJ7t73GY30R1ye0hes4uuSDD6KhtNL/dIc9GCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:39.187100Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.1663","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c491a8527404b6a3288d84829a0db339806904117c4c1a1c3438129e5fb5fec6","sha256:4da4682424bdfd023427c8f2f9de873446cacdbf5de8dc1a7918ab41cd3fae53"],"state_sha256":"14badde615311fcea80c0df50990345c99ca7bb507de8728aae579db4ec9b7ff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tmCiIw9dkGeIzlc9PAyFye4VMnnKbzdApzj0siQNsltLDOtbV1B5PLCx6oSjWqZoEdnSwmUZTOvnoU3S5Z4zDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T13:44:09.193254Z","bundle_sha256":"cd75af138a1b50ca07b1ff835883444051a33c3f6a13e2913e1abae228cfdbf4"}}