{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JCDQO6WHYFKH4FUKBDHGJIHR6S","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":"e42bf1b69d84f71490e4d12b2ff55d23c8688776069b41d092409bb87f67e1d7","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-02-16T09:38:12Z","title_canon_sha256":"4c32137fc96939ab49a8815f89c04338a8fbdbd01eaef9c4fb07ce755104e7dd"},"schema_version":"1.0","source":{"id":"1202.3544","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.3544","created_at":"2026-05-18T03:15:18Z"},{"alias_kind":"arxiv_version","alias_value":"1202.3544v1","created_at":"2026-05-18T03:15:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.3544","created_at":"2026-05-18T03:15:18Z"},{"alias_kind":"pith_short_12","alias_value":"JCDQO6WHYFKH","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JCDQO6WHYFKH4FUK","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JCDQO6WH","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:1448fa52a4e33a20c200e4fe5691b84e940b9cec0071f6bcdd05c004131b4ac8","target":"graph","created_at":"2026-05-18T03:15:18Z","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 Inozemtsev Hamiltonian is an elliptic generalization of the differential operator defining the BC_N trigonometric quantum Calogero-Sutherland model, and its eigenvalue equation is a natural many-variable generalization of the Heun differential equation. We present kernel functions for Inozemtsev Hamiltonians and Chalykh-Feigin-Veselov-Sergeev-type deformations thereof. Our main result is a solution of a heat-type equation for a generalized Inozemtsev Hamiltonian which is the source for all these kernel functions. Applications are given, including a derivation of simple exact eigenfunctions","authors_text":"Edwin Langmann, Kouichi Takemura","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-02-16T09:38:12Z","title":"Source identity and kernel functions for Inozemtsev-type systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.3544","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":"sha256:7b27592b0d421962e9a4e05283e6ffdc24ab0a69dcfeb60d75e250db057a676d","target":"record","created_at":"2026-05-18T03:15:18Z","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":"e42bf1b69d84f71490e4d12b2ff55d23c8688776069b41d092409bb87f67e1d7","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-02-16T09:38:12Z","title_canon_sha256":"4c32137fc96939ab49a8815f89c04338a8fbdbd01eaef9c4fb07ce755104e7dd"},"schema_version":"1.0","source":{"id":"1202.3544","kind":"arxiv","version":1}},"canonical_sha256":"4887077ac7c1547e168a08ce64a0f1f4948dd657c83ea3bcc8f368af97949d97","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4887077ac7c1547e168a08ce64a0f1f4948dd657c83ea3bcc8f368af97949d97","first_computed_at":"2026-05-18T03:15:18.832613Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:18.832613Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6b4VNLr4rfHgitd+x5fUg9intCt6TztCkMuVVQWqNljN9H1Nh6C6Vqr2vqKMUfzzlHtY9Bv9K4JI0iEoNq5MBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:18.833536Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.3544","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b27592b0d421962e9a4e05283e6ffdc24ab0a69dcfeb60d75e250db057a676d","sha256:1448fa52a4e33a20c200e4fe5691b84e940b9cec0071f6bcdd05c004131b4ac8"],"state_sha256":"041abc2ae1ad10f79f0780d6b75c026288e6393c9bef1e508ed893bcb4ed98dc"}