{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:L2LFANOQSOMDNSZY4SG3AWP7FC","short_pith_number":"pith:L2LFANOQ","schema_version":"1.0","canonical_sha256":"5e965035d0939836cb38e48db059ff288a102d904045f3e9cdea28a8188b07bd","source":{"kind":"arxiv","id":"1004.3253","version":2},"attestation_state":"computed","paper":{"title":"Gaudin subalgebras and stable rational curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alexander P. Veselov, Giovanni Felder, Leonardo Aguirre","submitted_at":"2010-04-19T17:16:03Z","abstract_excerpt":"Gaudin subalgebras are abelian Lie subalgebras of maximal dimension spanned by generators of the Kohno-Drinfeld Lie algebra t_n. We show that Gaudin subalgebras form a variety isomorphic to the moduli space of stable curves of genus zero with n+1 marked points. In particular, this gives an embedding of the moduli space in a Grassmannian of (n-1)-planes in an n(n-1)/2-dimensional space. We show that the sheaf of Gaudin subalgebras over the moduli space is isomorphic to a sheaf of twisted first order differential operators. For each representation of the Kohno--Drinfeld Lie algebra with fixed ce"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1004.3253","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-04-19T17:16:03Z","cross_cats_sorted":[],"title_canon_sha256":"5824ee9fc81af97210582322914f025f7fb1b3f8fdcceee88b905629755e20ac","abstract_canon_sha256":"a0ae1cd2b838f0aa95bed1accfe2e9bd32f34154149371c93211172124606826"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:19.755384Z","signature_b64":"0SHmbANa4XLPxMNVokV5LhcVPzQ/fI8+2RcBcS4Br8uPQqVwySHi46/dPZLQWblE11XeyaGzWHwCTRONFwZ/BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5e965035d0939836cb38e48db059ff288a102d904045f3e9cdea28a8188b07bd","last_reissued_at":"2026-05-17T23:53:19.754787Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:19.754787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gaudin subalgebras and stable rational curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alexander P. Veselov, Giovanni Felder, Leonardo Aguirre","submitted_at":"2010-04-19T17:16:03Z","abstract_excerpt":"Gaudin subalgebras are abelian Lie subalgebras of maximal dimension spanned by generators of the Kohno-Drinfeld Lie algebra t_n. We show that Gaudin subalgebras form a variety isomorphic to the moduli space of stable curves of genus zero with n+1 marked points. In particular, this gives an embedding of the moduli space in a Grassmannian of (n-1)-planes in an n(n-1)/2-dimensional space. We show that the sheaf of Gaudin subalgebras over the moduli space is isomorphic to a sheaf of twisted first order differential operators. For each representation of the Kohno--Drinfeld Lie algebra with fixed ce"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.3253","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1004.3253","created_at":"2026-05-17T23:53:19.754865+00:00"},{"alias_kind":"arxiv_version","alias_value":"1004.3253v2","created_at":"2026-05-17T23:53:19.754865+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.3253","created_at":"2026-05-17T23:53:19.754865+00:00"},{"alias_kind":"pith_short_12","alias_value":"L2LFANOQSOMD","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_16","alias_value":"L2LFANOQSOMDNSZY","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_8","alias_value":"L2LFANOQ","created_at":"2026-05-18T12:26:09.077623+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/L2LFANOQSOMDNSZY4SG3AWP7FC","json":"https://pith.science/pith/L2LFANOQSOMDNSZY4SG3AWP7FC.json","graph_json":"https://pith.science/api/pith-number/L2LFANOQSOMDNSZY4SG3AWP7FC/graph.json","events_json":"https://pith.science/api/pith-number/L2LFANOQSOMDNSZY4SG3AWP7FC/events.json","paper":"https://pith.science/paper/L2LFANOQ"},"agent_actions":{"view_html":"https://pith.science/pith/L2LFANOQSOMDNSZY4SG3AWP7FC","download_json":"https://pith.science/pith/L2LFANOQSOMDNSZY4SG3AWP7FC.json","view_paper":"https://pith.science/paper/L2LFANOQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1004.3253&json=true","fetch_graph":"https://pith.science/api/pith-number/L2LFANOQSOMDNSZY4SG3AWP7FC/graph.json","fetch_events":"https://pith.science/api/pith-number/L2LFANOQSOMDNSZY4SG3AWP7FC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L2LFANOQSOMDNSZY4SG3AWP7FC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L2LFANOQSOMDNSZY4SG3AWP7FC/action/storage_attestation","attest_author":"https://pith.science/pith/L2LFANOQSOMDNSZY4SG3AWP7FC/action/author_attestation","sign_citation":"https://pith.science/pith/L2LFANOQSOMDNSZY4SG3AWP7FC/action/citation_signature","submit_replication":"https://pith.science/pith/L2LFANOQSOMDNSZY4SG3AWP7FC/action/replication_record"}},"created_at":"2026-05-17T23:53:19.754865+00:00","updated_at":"2026-05-17T23:53:19.754865+00:00"}