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We calculate the Brauer groups of U^{'s}_{L}(n,d)$. We study the question of rationality of $U^{'s}_{L}(n,d)$ and $U'_Y(n,d)$."},"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":"1211.1074","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-11-05T23:36:23Z","cross_cats_sorted":[],"title_canon_sha256":"7719ce3dd73ca038714574e77f86b5de0ffd5e5be0623ab21d37d0aef40edc82","abstract_canon_sha256":"db9d8fb8a2b017cb3f12d6de1c678cacd917929923f4248034b69a5528b59caf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:41:28.612564Z","signature_b64":"7Vore99Y71O9LrW198Oe7UXDaYL0EnTzIlir4lfraF3lcY0hSkVQaEezV4zp8yxAQ7tTtB9qjJJE8AIZOXwbAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f54a0c85593ce43f2a29403a858e52c83b6a706c43eb70586ffe53251bf32ab","last_reissued_at":"2026-05-18T03:41:28.612054Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:41:28.612054Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Brauer group and birational type of moduli spaces of torsionfree sheaves on a nodal curve","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Indranil Biswas, Usha N. Bhosle","submitted_at":"2012-11-05T23:36:23Z","abstract_excerpt":"Let U^{'s}_{L}(n,d) be the moduli space of stable vector bundles of rank $n$ and fixed determinant L of degree d on a nodal curve Y. The moduli space of semistable vector bundles of rank n and degree $d$ will be denoted by U'_Y(n,d). We calculate the Brauer groups of U^{'s}_{L}(n,d)$. We study the question of rationality of $U^{'s}_{L}(n,d)$ and $U'_Y(n,d)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.1074","kind":"arxiv","version":1},"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":"1211.1074","created_at":"2026-05-18T03:41:28.612135+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.1074v1","created_at":"2026-05-18T03:41:28.612135+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.1074","created_at":"2026-05-18T03:41:28.612135+00:00"},{"alias_kind":"pith_short_12","alias_value":"J5KKBSCVSPHE","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_16","alias_value":"J5KKBSCVSPHEH4VC","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_8","alias_value":"J5KKBSCV","created_at":"2026-05-18T12:27:09.501522+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/J5KKBSCVSPHEH4VCSQB2QWHFFS","json":"https://pith.science/pith/J5KKBSCVSPHEH4VCSQB2QWHFFS.json","graph_json":"https://pith.science/api/pith-number/J5KKBSCVSPHEH4VCSQB2QWHFFS/graph.json","events_json":"https://pith.science/api/pith-number/J5KKBSCVSPHEH4VCSQB2QWHFFS/events.json","paper":"https://pith.science/paper/J5KKBSCV"},"agent_actions":{"view_html":"https://pith.science/pith/J5KKBSCVSPHEH4VCSQB2QWHFFS","download_json":"https://pith.science/pith/J5KKBSCVSPHEH4VCSQB2QWHFFS.json","view_paper":"https://pith.science/paper/J5KKBSCV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.1074&json=true","fetch_graph":"https://pith.science/api/pith-number/J5KKBSCVSPHEH4VCSQB2QWHFFS/graph.json","fetch_events":"https://pith.science/api/pith-number/J5KKBSCVSPHEH4VCSQB2QWHFFS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J5KKBSCVSPHEH4VCSQB2QWHFFS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J5KKBSCVSPHEH4VCSQB2QWHFFS/action/storage_attestation","attest_author":"https://pith.science/pith/J5KKBSCVSPHEH4VCSQB2QWHFFS/action/author_attestation","sign_citation":"https://pith.science/pith/J5KKBSCVSPHEH4VCSQB2QWHFFS/action/citation_signature","submit_replication":"https://pith.science/pith/J5KKBSCVSPHEH4VCSQB2QWHFFS/action/replication_record"}},"created_at":"2026-05-18T03:41:28.612135+00:00","updated_at":"2026-05-18T03:41:28.612135+00:00"}