{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:6QBE2YO4YKH76TKGGEFFLNOORU","short_pith_number":"pith:6QBE2YO4","schema_version":"1.0","canonical_sha256":"f4024d61dcc28fff4d46310a55b5ce8d0817a8c600ed4fa6e53e8a44a92cedad","source":{"kind":"arxiv","id":"1012.3434","version":1},"attestation_state":"computed","paper":{"title":"Galois and universal universal coverings of linear categories and fibre products","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Andrea Solotar, Claude Cibils, Maria Julia Redondo","submitted_at":"2010-12-15T19:32:24Z","abstract_excerpt":"Let $k$ be a commutative ring. We study the behaviour of coverings of $k$-categories through fibre products and find a criterion for a covering to be Galois or universal."},"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":"1012.3434","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-12-15T19:32:24Z","cross_cats_sorted":[],"title_canon_sha256":"7389931aa5c9f599545f8e17136d357822c42cad89828686e633eacf9eda5fd2","abstract_canon_sha256":"d2a2782d8c9b3d80d37a7dfe8d40c435ec95a6e10ed3345951480a9594ec8f88"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:33:16.824117Z","signature_b64":"r+YzQaSJGlK8iUy4a9jXaapsUuItqodmOBVYd5clB5+j2vLNd41WmXfyB7VP8cqvzXtH1/B0bQd/mzzDzCi5Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f4024d61dcc28fff4d46310a55b5ce8d0817a8c600ed4fa6e53e8a44a92cedad","last_reissued_at":"2026-05-18T04:33:16.823296Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:33:16.823296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Galois and universal universal coverings of linear categories and fibre products","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Andrea Solotar, Claude Cibils, Maria Julia Redondo","submitted_at":"2010-12-15T19:32:24Z","abstract_excerpt":"Let $k$ be a commutative ring. We study the behaviour of coverings of $k$-categories through fibre products and find a criterion for a covering to be Galois or universal."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.3434","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":"1012.3434","created_at":"2026-05-18T04:33:16.823457+00:00"},{"alias_kind":"arxiv_version","alias_value":"1012.3434v1","created_at":"2026-05-18T04:33:16.823457+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.3434","created_at":"2026-05-18T04:33:16.823457+00:00"},{"alias_kind":"pith_short_12","alias_value":"6QBE2YO4YKH7","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_16","alias_value":"6QBE2YO4YKH76TKG","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_8","alias_value":"6QBE2YO4","created_at":"2026-05-18T12:26:04.259169+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/6QBE2YO4YKH76TKGGEFFLNOORU","json":"https://pith.science/pith/6QBE2YO4YKH76TKGGEFFLNOORU.json","graph_json":"https://pith.science/api/pith-number/6QBE2YO4YKH76TKGGEFFLNOORU/graph.json","events_json":"https://pith.science/api/pith-number/6QBE2YO4YKH76TKGGEFFLNOORU/events.json","paper":"https://pith.science/paper/6QBE2YO4"},"agent_actions":{"view_html":"https://pith.science/pith/6QBE2YO4YKH76TKGGEFFLNOORU","download_json":"https://pith.science/pith/6QBE2YO4YKH76TKGGEFFLNOORU.json","view_paper":"https://pith.science/paper/6QBE2YO4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1012.3434&json=true","fetch_graph":"https://pith.science/api/pith-number/6QBE2YO4YKH76TKGGEFFLNOORU/graph.json","fetch_events":"https://pith.science/api/pith-number/6QBE2YO4YKH76TKGGEFFLNOORU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6QBE2YO4YKH76TKGGEFFLNOORU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6QBE2YO4YKH76TKGGEFFLNOORU/action/storage_attestation","attest_author":"https://pith.science/pith/6QBE2YO4YKH76TKGGEFFLNOORU/action/author_attestation","sign_citation":"https://pith.science/pith/6QBE2YO4YKH76TKGGEFFLNOORU/action/citation_signature","submit_replication":"https://pith.science/pith/6QBE2YO4YKH76TKGGEFFLNOORU/action/replication_record"}},"created_at":"2026-05-18T04:33:16.823457+00:00","updated_at":"2026-05-18T04:33:16.823457+00:00"}