{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:6XGNQI5H73UGQTENNVEERMXC6C","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":"372357d2b6184957d7aabc46ca508569939e0bc6d1fe1584cd6a5c09ade6967e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-10-28T15:37:28Z","title_canon_sha256":"26a0394b80b828340d812f8dbdbc9ed697f8d6a0dde0d2f74976e8c18df106bd"},"schema_version":"1.0","source":{"id":"1410.7664","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.7664","created_at":"2026-05-18T00:56:36Z"},{"alias_kind":"arxiv_version","alias_value":"1410.7664v1","created_at":"2026-05-18T00:56:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.7664","created_at":"2026-05-18T00:56:36Z"},{"alias_kind":"pith_short_12","alias_value":"6XGNQI5H73UG","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6XGNQI5H73UGQTEN","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6XGNQI5H","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:7beb9ef2987db468cb9a5c98c9f2e6003eeb75deace1d8caf4addae9411db884","target":"graph","created_at":"2026-05-18T00:56:36Z","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":"Given a vertex Lie algebra $\\mathscr L$ equipped with an action by automorphisms of a cyclic group $\\Gamma$, we define spaces of cyclotomic coinvariants over the Riemann sphere. These are quotients of tensor products of smooth modules over `local' Lie algebras $\\mathsf L(\\mathscr L)_{z_i}$ assigned to marked points $z_i$, by the action of a `global' Lie algebra ${\\mathsf L}^{\\Gamma}_{\\{z_i \\}}(\\mathscr L)$ of $\\Gamma$-equivariant functions.\n  On the other hand, the universal enveloping vertex algebra $\\mathbb V (\\mathscr L)$ of $\\mathscr L$ is itself a vertex Lie algebra with an induced action","authors_text":"Benoit Vicedo, Charles A. S. Young","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-10-28T15:37:28Z","title":"Vertex Lie algebras and cyclotomic coinvariants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.7664","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:efb078c4e3b790079806d9f30a6e66da9151a2b6c0b631c6e2d9c54eed9888df","target":"record","created_at":"2026-05-18T00:56:36Z","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":"372357d2b6184957d7aabc46ca508569939e0bc6d1fe1584cd6a5c09ade6967e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-10-28T15:37:28Z","title_canon_sha256":"26a0394b80b828340d812f8dbdbc9ed697f8d6a0dde0d2f74976e8c18df106bd"},"schema_version":"1.0","source":{"id":"1410.7664","kind":"arxiv","version":1}},"canonical_sha256":"f5ccd823a7fee8684c8d6d4848b2e2f0ac07ef01d60428f0f78bdb0787638dce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f5ccd823a7fee8684c8d6d4848b2e2f0ac07ef01d60428f0f78bdb0787638dce","first_computed_at":"2026-05-18T00:56:36.263959Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:36.263959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"znSkdRtnB5cea3cQxBF1cFM/fY42BDiQfIp8UzPnjBVuzvYIi6BgEjnDmTHXyLykfCZCmyQIu7M44KL1u4JgAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:36.264509Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.7664","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:efb078c4e3b790079806d9f30a6e66da9151a2b6c0b631c6e2d9c54eed9888df","sha256:7beb9ef2987db468cb9a5c98c9f2e6003eeb75deace1d8caf4addae9411db884"],"state_sha256":"33d7c8d02aa9a973688a7f1c5ad22b3f465aa5e60307c25e7c97e1ea301c0b01"}