{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:HRKHD7XZPPJ4RGGENJUA5M4IAR","short_pith_number":"pith:HRKHD7XZ","schema_version":"1.0","canonical_sha256":"3c5471fef97bd3c898c46a680eb3880462e752b29830d8f525e52a388fb7c659","source":{"kind":"arxiv","id":"2308.06778","version":1},"attestation_state":"computed","paper":{"title":"Stratifying the moduli space of stable vector bundles by decomposition type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Dario Weissmann","submitted_at":"2023-08-13T14:15:37Z","abstract_excerpt":"The moduli space of slope-stable vector bundles on a normal projective variety over an algebraically closed field of characteristic $p\\geq 0$ is stratified with respect to the decomposition type. On a smooth projective curve of genus at least 2 we obtain mostly sharp dimension estimates for these strata.\n  As an application, we obtain a dimension estimate for the closure of the prime to p trivializable stable bundles in the moduli space of stable vector bundles."},"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":"2308.06778","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-08-13T14:15:37Z","cross_cats_sorted":[],"title_canon_sha256":"3806c02505cb07c5afc8311c1a2c6a2966f9cd58701a53abd82df97508f401dd","abstract_canon_sha256":"00a119ee3ba9b56bd4dcec3c4c5e210b88cea0d87881162993d3e90d64962060"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:40:45.012913Z","signature_b64":"Y3Bw+zFEazvyP8dmOPmRAfBjfGRFUg3U5eZI1pEbBEkvsbAO7O8e00JeQWZQIj9JMXnzdLt1UYcLYMZXBCUuCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c5471fef97bd3c898c46a680eb3880462e752b29830d8f525e52a388fb7c659","last_reissued_at":"2026-07-05T06:40:45.012438Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:40:45.012438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stratifying the moduli space of stable vector bundles by decomposition type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Dario Weissmann","submitted_at":"2023-08-13T14:15:37Z","abstract_excerpt":"The moduli space of slope-stable vector bundles on a normal projective variety over an algebraically closed field of characteristic $p\\geq 0$ is stratified with respect to the decomposition type. On a smooth projective curve of genus at least 2 we obtain mostly sharp dimension estimates for these strata.\n  As an application, we obtain a dimension estimate for the closure of the prime to p trivializable stable bundles in the moduli space of stable vector bundles."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.06778","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2308.06778/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2308.06778","created_at":"2026-07-05T06:40:45.012497+00:00"},{"alias_kind":"arxiv_version","alias_value":"2308.06778v1","created_at":"2026-07-05T06:40:45.012497+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.06778","created_at":"2026-07-05T06:40:45.012497+00:00"},{"alias_kind":"pith_short_12","alias_value":"HRKHD7XZPPJ4","created_at":"2026-07-05T06:40:45.012497+00:00"},{"alias_kind":"pith_short_16","alias_value":"HRKHD7XZPPJ4RGGE","created_at":"2026-07-05T06:40:45.012497+00:00"},{"alias_kind":"pith_short_8","alias_value":"HRKHD7XZ","created_at":"2026-07-05T06:40:45.012497+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/HRKHD7XZPPJ4RGGENJUA5M4IAR","json":"https://pith.science/pith/HRKHD7XZPPJ4RGGENJUA5M4IAR.json","graph_json":"https://pith.science/api/pith-number/HRKHD7XZPPJ4RGGENJUA5M4IAR/graph.json","events_json":"https://pith.science/api/pith-number/HRKHD7XZPPJ4RGGENJUA5M4IAR/events.json","paper":"https://pith.science/paper/HRKHD7XZ"},"agent_actions":{"view_html":"https://pith.science/pith/HRKHD7XZPPJ4RGGENJUA5M4IAR","download_json":"https://pith.science/pith/HRKHD7XZPPJ4RGGENJUA5M4IAR.json","view_paper":"https://pith.science/paper/HRKHD7XZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2308.06778&json=true","fetch_graph":"https://pith.science/api/pith-number/HRKHD7XZPPJ4RGGENJUA5M4IAR/graph.json","fetch_events":"https://pith.science/api/pith-number/HRKHD7XZPPJ4RGGENJUA5M4IAR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HRKHD7XZPPJ4RGGENJUA5M4IAR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HRKHD7XZPPJ4RGGENJUA5M4IAR/action/storage_attestation","attest_author":"https://pith.science/pith/HRKHD7XZPPJ4RGGENJUA5M4IAR/action/author_attestation","sign_citation":"https://pith.science/pith/HRKHD7XZPPJ4RGGENJUA5M4IAR/action/citation_signature","submit_replication":"https://pith.science/pith/HRKHD7XZPPJ4RGGENJUA5M4IAR/action/replication_record"}},"created_at":"2026-07-05T06:40:45.012497+00:00","updated_at":"2026-07-05T06:40:45.012497+00:00"}