{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1995:M2NORBTFR2W7IWA2ZVHRG7QHUV","short_pith_number":"pith:M2NORBTF","schema_version":"1.0","canonical_sha256":"669ae886658eadf4581acd4f137e07a56263aa0359d7003cfe195bf2aaae1e5f","source":{"kind":"arxiv","id":"alg-geom/9501013","version":1},"attestation_state":"computed","paper":{"title":"The motive of some moduli spaces of vector bundles over a curve","license":"","headline":"","cross_cats":["math.AG"],"primary_cat":"alg-geom","authors_text":"Sebastian del Bano Rollin","submitted_at":"1995-01-31T08:34:40Z","abstract_excerpt":"We study the motive of the moduli spaces of semistable rank two vector bundles over an algebraic curve. When the degree is odd the moduli space is a smooth projective variety, we obtain the absolute Hodge motive of this, and in particular the Hodge-Poincare polynomial. When the degree is even the moduli space is a singular projective variety, we compute pure Euler characteristics and show that only two weights can occur in each cohomology group, we also see that its cohomology is pure up to a certain degree. As a by-product we obtain the isogeny type of some intermediate jacobians of the modul"},"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":"alg-geom/9501013","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"alg-geom","submitted_at":"1995-01-31T08:34:40Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"0aee04cdc89ddc0065e208832e43376b2dee42d304f119683b908fe445590103","abstract_canon_sha256":"9ea67d1ae9a351369972592a9dd8636abd2a3ee699563a86a7e4e366d17fbb1c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:43.017741Z","signature_b64":"UixTk+LFMteYYSSWS9gCmyF+bNKyLb9dd+NW5LCpGCz3yn0L9+GwcnDhlBh60W3msi8rSgJtc32+fVthoHOkCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"669ae886658eadf4581acd4f137e07a56263aa0359d7003cfe195bf2aaae1e5f","last_reissued_at":"2026-05-18T01:37:43.017192Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:43.017192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The motive of some moduli spaces of vector bundles over a curve","license":"","headline":"","cross_cats":["math.AG"],"primary_cat":"alg-geom","authors_text":"Sebastian del Bano Rollin","submitted_at":"1995-01-31T08:34:40Z","abstract_excerpt":"We study the motive of the moduli spaces of semistable rank two vector bundles over an algebraic curve. When the degree is odd the moduli space is a smooth projective variety, we obtain the absolute Hodge motive of this, and in particular the Hodge-Poincare polynomial. When the degree is even the moduli space is a singular projective variety, we compute pure Euler characteristics and show that only two weights can occur in each cohomology group, we also see that its cohomology is pure up to a certain degree. As a by-product we obtain the isogeny type of some intermediate jacobians of the modul"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"alg-geom/9501013","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":"alg-geom/9501013","created_at":"2026-05-18T01:37:43.017279+00:00"},{"alias_kind":"arxiv_version","alias_value":"alg-geom/9501013v1","created_at":"2026-05-18T01:37:43.017279+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.alg-geom/9501013","created_at":"2026-05-18T01:37:43.017279+00:00"},{"alias_kind":"pith_short_12","alias_value":"M2NORBTFR2W7","created_at":"2026-05-18T12:25:47.700082+00:00"},{"alias_kind":"pith_short_16","alias_value":"M2NORBTFR2W7IWA2","created_at":"2026-05-18T12:25:47.700082+00:00"},{"alias_kind":"pith_short_8","alias_value":"M2NORBTF","created_at":"2026-05-18T12:25:47.700082+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/M2NORBTFR2W7IWA2ZVHRG7QHUV","json":"https://pith.science/pith/M2NORBTFR2W7IWA2ZVHRG7QHUV.json","graph_json":"https://pith.science/api/pith-number/M2NORBTFR2W7IWA2ZVHRG7QHUV/graph.json","events_json":"https://pith.science/api/pith-number/M2NORBTFR2W7IWA2ZVHRG7QHUV/events.json","paper":"https://pith.science/paper/M2NORBTF"},"agent_actions":{"view_html":"https://pith.science/pith/M2NORBTFR2W7IWA2ZVHRG7QHUV","download_json":"https://pith.science/pith/M2NORBTFR2W7IWA2ZVHRG7QHUV.json","view_paper":"https://pith.science/paper/M2NORBTF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=alg-geom/9501013&json=true","fetch_graph":"https://pith.science/api/pith-number/M2NORBTFR2W7IWA2ZVHRG7QHUV/graph.json","fetch_events":"https://pith.science/api/pith-number/M2NORBTFR2W7IWA2ZVHRG7QHUV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M2NORBTFR2W7IWA2ZVHRG7QHUV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M2NORBTFR2W7IWA2ZVHRG7QHUV/action/storage_attestation","attest_author":"https://pith.science/pith/M2NORBTFR2W7IWA2ZVHRG7QHUV/action/author_attestation","sign_citation":"https://pith.science/pith/M2NORBTFR2W7IWA2ZVHRG7QHUV/action/citation_signature","submit_replication":"https://pith.science/pith/M2NORBTFR2W7IWA2ZVHRG7QHUV/action/replication_record"}},"created_at":"2026-05-18T01:37:43.017279+00:00","updated_at":"2026-05-18T01:37:43.017279+00:00"}