{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:L2LFANOQSOMDNSZY4SG3AWP7FC","short_pith_number":"pith:L2LFANOQ","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"},"canonical_sha256":"5e965035d0939836cb38e48db059ff288a102d904045f3e9cdea28a8188b07bd","source":{"kind":"arxiv","id":"1004.3253","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.3253","created_at":"2026-05-17T23:53:19Z"},{"alias_kind":"arxiv_version","alias_value":"1004.3253v2","created_at":"2026-05-17T23:53:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.3253","created_at":"2026-05-17T23:53:19Z"},{"alias_kind":"pith_short_12","alias_value":"L2LFANOQSOMD","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"L2LFANOQSOMDNSZY","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"L2LFANOQ","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:L2LFANOQSOMDNSZY4SG3AWP7FC","target":"record","payload":{"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"},"canonical_sha256":"5e965035d0939836cb38e48db059ff288a102d904045f3e9cdea28a8188b07bd","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"},"source_kind":"arxiv","source_id":"1004.3253","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":"2026-05-17T23:53:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mO78agsYe4S8lBVWON3IZJz9dmrqzTNHa2AgilfmK/PXNahgmpvallQSo0gNnHtqhDUVPYAganIFUvGtv1UOAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T06:17:50.112100Z"},"content_sha256":"1532179cb254d2cdfcb0c2246eee484aa6b0c9e155176840f152274a3869a6f6","schema_version":"1.0","event_id":"sha256:1532179cb254d2cdfcb0c2246eee484aa6b0c9e155176840f152274a3869a6f6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:L2LFANOQSOMDNSZY4SG3AWP7FC","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:53:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g62QgtdUvVpKMK8blMmgfxNEdP7gnkIBk8yUBMjt8jRj7LAVmph0iFQfuZ41cXselPL6X/KV7hIFKhT6EoDnCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T06:17:50.112695Z"},"content_sha256":"7029debbcccf4e9c0523741b85ea010c09e3663884d08585a2aa8e3aeb542177","schema_version":"1.0","event_id":"sha256:7029debbcccf4e9c0523741b85ea010c09e3663884d08585a2aa8e3aeb542177"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L2LFANOQSOMDNSZY4SG3AWP7FC/bundle.json","state_url":"https://pith.science/pith/L2LFANOQSOMDNSZY4SG3AWP7FC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L2LFANOQSOMDNSZY4SG3AWP7FC/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":"2026-06-07T06:17:50Z","links":{"resolver":"https://pith.science/pith/L2LFANOQSOMDNSZY4SG3AWP7FC","bundle":"https://pith.science/pith/L2LFANOQSOMDNSZY4SG3AWP7FC/bundle.json","state":"https://pith.science/pith/L2LFANOQSOMDNSZY4SG3AWP7FC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L2LFANOQSOMDNSZY4SG3AWP7FC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:L2LFANOQSOMDNSZY4SG3AWP7FC","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":"a0ae1cd2b838f0aa95bed1accfe2e9bd32f34154149371c93211172124606826","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-04-19T17:16:03Z","title_canon_sha256":"5824ee9fc81af97210582322914f025f7fb1b3f8fdcceee88b905629755e20ac"},"schema_version":"1.0","source":{"id":"1004.3253","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.3253","created_at":"2026-05-17T23:53:19Z"},{"alias_kind":"arxiv_version","alias_value":"1004.3253v2","created_at":"2026-05-17T23:53:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.3253","created_at":"2026-05-17T23:53:19Z"},{"alias_kind":"pith_short_12","alias_value":"L2LFANOQSOMD","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"L2LFANOQSOMDNSZY","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"L2LFANOQ","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:7029debbcccf4e9c0523741b85ea010c09e3663884d08585a2aa8e3aeb542177","target":"graph","created_at":"2026-05-17T23:53:19Z","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":"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","authors_text":"Alexander P. Veselov, Giovanni Felder, Leonardo Aguirre","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-04-19T17:16:03Z","title":"Gaudin subalgebras and stable rational curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.3253","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":"sha256:1532179cb254d2cdfcb0c2246eee484aa6b0c9e155176840f152274a3869a6f6","target":"record","created_at":"2026-05-17T23:53:19Z","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":"a0ae1cd2b838f0aa95bed1accfe2e9bd32f34154149371c93211172124606826","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-04-19T17:16:03Z","title_canon_sha256":"5824ee9fc81af97210582322914f025f7fb1b3f8fdcceee88b905629755e20ac"},"schema_version":"1.0","source":{"id":"1004.3253","kind":"arxiv","version":2}},"canonical_sha256":"5e965035d0939836cb38e48db059ff288a102d904045f3e9cdea28a8188b07bd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5e965035d0939836cb38e48db059ff288a102d904045f3e9cdea28a8188b07bd","first_computed_at":"2026-05-17T23:53:19.754787Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:19.754787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0SHmbANa4XLPxMNVokV5LhcVPzQ/fI8+2RcBcS4Br8uPQqVwySHi46/dPZLQWblE11XeyaGzWHwCTRONFwZ/BA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:19.755384Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.3253","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1532179cb254d2cdfcb0c2246eee484aa6b0c9e155176840f152274a3869a6f6","sha256:7029debbcccf4e9c0523741b85ea010c09e3663884d08585a2aa8e3aeb542177"],"state_sha256":"a3f4ce44c2999a127af29d6d2aeabc72ed6aab7ef4fc256e05db947c8294d47e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k4znoPcnJ7rE1WcfR6h+X4LW4xoZIgD0RvOLoDLmvUDNHK5GdaMbIoOEnvQ2fzuZxKO3oKJCjkijU9iJQUmeAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T06:17:50.115811Z","bundle_sha256":"bd7b37a0e3d4414ee07c43d3d08e2ab93f39596100a318235e51535e956e8788"}}