{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FTVYXMN5XPYGQ54GLHKOY3JB5L","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":"d02cadb0fed6986a18f18a77117e768d2f3db1971431b4078b143e8bd0b4369b","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-31T20:00:53Z","title_canon_sha256":"4cbe954b8f6cc98a26da46d2406601d1e13fde760ab46b9e77726fd221289f22"},"schema_version":"1.0","source":{"id":"1604.00026","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.00026","created_at":"2026-05-18T01:12:29Z"},{"alias_kind":"arxiv_version","alias_value":"1604.00026v1","created_at":"2026-05-18T01:12:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.00026","created_at":"2026-05-18T01:12:29Z"},{"alias_kind":"pith_short_12","alias_value":"FTVYXMN5XPYG","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FTVYXMN5XPYGQ54G","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FTVYXMN5","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:bf0658b999525eed81432ab74e919d501f0c87c43023b367b8a202942c5bb41c","target":"graph","created_at":"2026-05-18T01:12:29Z","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 Hamiltonians and symmetry generators of Calogero-oscillator and Calogero-Coulomb models on the N-dimensional sphere within the matrix-model reduction approach. Our method also produces the integrable Calogero-Coulomb-Stark model on the sphere and proves the integrability of the spin extensions of all these systems.","authors_text":"Armen Nersessian, Francisco Correa, Olaf Lechtenfeld, Tigran Hakobyan","cross_cats":["math-ph","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-31T20:00:53Z","title":"Spherical Calogero model with oscillator/Coulomb potential: classical case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.00026","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":"sha256:77fb7a318e4f166f96d38c3bdefbd825a0c83ca909566e063eefc56cd7ece908","target":"record","created_at":"2026-05-18T01:12:29Z","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":"d02cadb0fed6986a18f18a77117e768d2f3db1971431b4078b143e8bd0b4369b","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-31T20:00:53Z","title_canon_sha256":"4cbe954b8f6cc98a26da46d2406601d1e13fde760ab46b9e77726fd221289f22"},"schema_version":"1.0","source":{"id":"1604.00026","kind":"arxiv","version":1}},"canonical_sha256":"2ceb8bb1bdbbf068778659d4ec6d21eaf1b894592cf57690e4137b2c2717c29a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ceb8bb1bdbbf068778659d4ec6d21eaf1b894592cf57690e4137b2c2717c29a","first_computed_at":"2026-05-18T01:12:29.641180Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:29.641180Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IWu3JI6ynPxRan2toXXAWMP76GDCovuwG9EfnuZgBKA9qAaejbO07eC8IAAueaSf+HEJtGJtQfGNoVqfZNMECQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:29.641512Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.00026","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:77fb7a318e4f166f96d38c3bdefbd825a0c83ca909566e063eefc56cd7ece908","sha256:bf0658b999525eed81432ab74e919d501f0c87c43023b367b8a202942c5bb41c"],"state_sha256":"c7462755cb8f8dc6309f5df25caa3e8e24c1479acaf382cb5897710fe424f950"}