{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FRHSGZ4PJM3PSRPDUV7BL7CXWA","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":"6ed16c9f570e667f8d6f41113901307db767950eb796761e040b59a27e45ae4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-06-28T14:30:00Z","title_canon_sha256":"5b8484772763fa8d9fbd8a5dbcbc40efbdd3ad571269b5d598073b71b10593b6"},"schema_version":"1.0","source":{"id":"1606.08726","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.08726","created_at":"2026-05-18T01:10:28Z"},{"alias_kind":"arxiv_version","alias_value":"1606.08726v2","created_at":"2026-05-18T01:10:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.08726","created_at":"2026-05-18T01:10:28Z"},{"alias_kind":"pith_short_12","alias_value":"FRHSGZ4PJM3P","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FRHSGZ4PJM3PSRPD","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FRHSGZ4P","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:ae68af6f25d4c77a276d76ad847ef06975809c57892f03bca6508a14e985a7ea","target":"graph","created_at":"2026-05-18T01:10:28Z","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":"For $C$ a stable curve of arithmetic genus $g\\ge 2$, and $\\mathcal{D}$ the determinant of cohomology line bundle on $\\operatorname{Bun}_{\\operatorname{SL}(r)}(C)$, we show the section ring for the pair $(\\operatorname{Bun}_{\\operatorname{SL}(r)}(C), \\mathcal{D})$ is finitely generated. Three applications are given.","authors_text":"Angela Gibney, Prakash Belkale","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-06-28T14:30:00Z","title":"On finite generation of the section ring of the determinant of cohomology line bundle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.08726","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:bfcbff0f0345649c471bbc09bb47f6b5a00258f9a65114717c8f72ec0f46efb7","target":"record","created_at":"2026-05-18T01:10:28Z","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":"6ed16c9f570e667f8d6f41113901307db767950eb796761e040b59a27e45ae4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-06-28T14:30:00Z","title_canon_sha256":"5b8484772763fa8d9fbd8a5dbcbc40efbdd3ad571269b5d598073b71b10593b6"},"schema_version":"1.0","source":{"id":"1606.08726","kind":"arxiv","version":2}},"canonical_sha256":"2c4f23678f4b36f945e3a57e15fc57b03e88d54e9d01bc41504db2a88186ff0e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c4f23678f4b36f945e3a57e15fc57b03e88d54e9d01bc41504db2a88186ff0e","first_computed_at":"2026-05-18T01:10:28.774160Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:28.774160Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bAzGnnA0ZS14vL3OeMquFXO7wmsb0q3QKEUY9asj2L3mVfKxGBXnay7ScdgIZNJTTjGvzEqCNXV66PJkIbdSDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:28.774745Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.08726","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bfcbff0f0345649c471bbc09bb47f6b5a00258f9a65114717c8f72ec0f46efb7","sha256:ae68af6f25d4c77a276d76ad847ef06975809c57892f03bca6508a14e985a7ea"],"state_sha256":"971b845203f538493daeca4cfb8cf7549c7dfb90205b06eee93c84f89b6cc1b6"}