{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:IEG3ULPWQJWQV2L3RT4OG7K5IQ","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":"07a47f2b79ed25a0fd618fbaf5d344399fd6c19fd7698e2c27001efd67e44bc3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-02-20T20:50:17Z","title_canon_sha256":"00e2512330e0d40291ba6b6b69efdea696376eba9ce66751026c383fb155cb3a"},"schema_version":"1.0","source":{"id":"1602.06457","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.06457","created_at":"2026-05-18T01:11:54Z"},{"alias_kind":"arxiv_version","alias_value":"1602.06457v2","created_at":"2026-05-18T01:11:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.06457","created_at":"2026-05-18T01:11:54Z"},{"alias_kind":"pith_short_12","alias_value":"IEG3ULPWQJWQ","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IEG3ULPWQJWQV2L3","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IEG3ULPW","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:3e5e5572b7c062f54434d651a323cf76ed83857addd80efe7a7f0fc7f1391e98","target":"graph","created_at":"2026-05-18T01:11:54Z","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 describe how the center of the universal central extension of the genus zero Krichever-Novikov current algebra decomposes as a direct sum of irreducible modules for automorphism group of the coordinate ring of this algebra.","authors_text":"Ben Cox","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-02-20T20:50:17Z","title":"Module structure of the center of the universal central extension of a genus zero Krichever-Novikov algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.06457","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":"sha256:9d5807e7ea33dfe5491f290bea69ecb3485ec49e57854945aac80d6f2a3f95ae","target":"record","created_at":"2026-05-18T01:11:54Z","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":"07a47f2b79ed25a0fd618fbaf5d344399fd6c19fd7698e2c27001efd67e44bc3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-02-20T20:50:17Z","title_canon_sha256":"00e2512330e0d40291ba6b6b69efdea696376eba9ce66751026c383fb155cb3a"},"schema_version":"1.0","source":{"id":"1602.06457","kind":"arxiv","version":2}},"canonical_sha256":"410dba2df6826d0ae97b8cf8e37d5d442bd50f7d20dce87ec2451ba30a31e99b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"410dba2df6826d0ae97b8cf8e37d5d442bd50f7d20dce87ec2451ba30a31e99b","first_computed_at":"2026-05-18T01:11:54.709095Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:54.709095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XUEQzksfaW1JWjL+3ev8lCW5XDgS5cvfBjuh7gyR67Cl0I6p7h88dfQWYc6Sys+xjswgLo0dKzrSgjP+aurBBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:54.709434Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.06457","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d5807e7ea33dfe5491f290bea69ecb3485ec49e57854945aac80d6f2a3f95ae","sha256:3e5e5572b7c062f54434d651a323cf76ed83857addd80efe7a7f0fc7f1391e98"],"state_sha256":"33b8cc21f8710d7420762219e29c3984dd63f10347786e78dd9394c4fed6cd8d"}