{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:KWHWM2EJJFSUKOJTGGUM7PUW5C","short_pith_number":"pith:KWHWM2EJ","schema_version":"1.0","canonical_sha256":"558f666889496545393331a8cfbe96e8b603571ea8b6db73a3458cc637330ff3","source":{"kind":"arxiv","id":"2211.08260","version":2},"attestation_state":"computed","paper":{"title":"A functorial approach to the stability of vector bundles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Dario Weissmann","submitted_at":"2022-11-15T16:11:12Z","abstract_excerpt":"On a normal projective variety the locus of $\\mu$-stable bundles that remain $\\mu$-stable on all Galois covers prime to the characteristic is open in the moduli space of Gieseker semi-stable sheaves. On a smooth projective curve of genus at least 2 this locus is big in the moduli space of stable bundles, i.e., its complement has codimension at least 2."},"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":"2211.08260","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2022-11-15T16:11:12Z","cross_cats_sorted":[],"title_canon_sha256":"a3c4108eabdd9b16a3d8b441f0063eb1e062209a92caf5e176d07dbf4dfa1a96","abstract_canon_sha256":"f1bfc0d3e0ffe8caffc00dc78b1e892f44f1eff6bfed198210b51e42f480ff64"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:23:42.523732Z","signature_b64":"WAGXpiD57eoBgVnkU2Owzagg0IpoRTD4b5wOH/Gukz1Yc1UZhRgD4gqUxlPcQ+CuyWvBh7TuYsMx2hb9w1f4Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"558f666889496545393331a8cfbe96e8b603571ea8b6db73a3458cc637330ff3","last_reissued_at":"2026-07-05T09:23:42.523242Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:23:42.523242Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A functorial approach to the stability of vector bundles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Dario Weissmann","submitted_at":"2022-11-15T16:11:12Z","abstract_excerpt":"On a normal projective variety the locus of $\\mu$-stable bundles that remain $\\mu$-stable on all Galois covers prime to the characteristic is open in the moduli space of Gieseker semi-stable sheaves. On a smooth projective curve of genus at least 2 this locus is big in the moduli space of stable bundles, i.e., its complement has codimension at least 2."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.08260","kind":"arxiv","version":2},"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/2211.08260/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":"2211.08260","created_at":"2026-07-05T09:23:42.523302+00:00"},{"alias_kind":"arxiv_version","alias_value":"2211.08260v2","created_at":"2026-07-05T09:23:42.523302+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.08260","created_at":"2026-07-05T09:23:42.523302+00:00"},{"alias_kind":"pith_short_12","alias_value":"KWHWM2EJJFSU","created_at":"2026-07-05T09:23:42.523302+00:00"},{"alias_kind":"pith_short_16","alias_value":"KWHWM2EJJFSUKOJT","created_at":"2026-07-05T09:23:42.523302+00:00"},{"alias_kind":"pith_short_8","alias_value":"KWHWM2EJ","created_at":"2026-07-05T09:23:42.523302+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/KWHWM2EJJFSUKOJTGGUM7PUW5C","json":"https://pith.science/pith/KWHWM2EJJFSUKOJTGGUM7PUW5C.json","graph_json":"https://pith.science/api/pith-number/KWHWM2EJJFSUKOJTGGUM7PUW5C/graph.json","events_json":"https://pith.science/api/pith-number/KWHWM2EJJFSUKOJTGGUM7PUW5C/events.json","paper":"https://pith.science/paper/KWHWM2EJ"},"agent_actions":{"view_html":"https://pith.science/pith/KWHWM2EJJFSUKOJTGGUM7PUW5C","download_json":"https://pith.science/pith/KWHWM2EJJFSUKOJTGGUM7PUW5C.json","view_paper":"https://pith.science/paper/KWHWM2EJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2211.08260&json=true","fetch_graph":"https://pith.science/api/pith-number/KWHWM2EJJFSUKOJTGGUM7PUW5C/graph.json","fetch_events":"https://pith.science/api/pith-number/KWHWM2EJJFSUKOJTGGUM7PUW5C/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KWHWM2EJJFSUKOJTGGUM7PUW5C/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KWHWM2EJJFSUKOJTGGUM7PUW5C/action/storage_attestation","attest_author":"https://pith.science/pith/KWHWM2EJJFSUKOJTGGUM7PUW5C/action/author_attestation","sign_citation":"https://pith.science/pith/KWHWM2EJJFSUKOJTGGUM7PUW5C/action/citation_signature","submit_replication":"https://pith.science/pith/KWHWM2EJJFSUKOJTGGUM7PUW5C/action/replication_record"}},"created_at":"2026-07-05T09:23:42.523302+00:00","updated_at":"2026-07-05T09:23:42.523302+00:00"}