{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:TFSEUWGK5AAROZ2KO6ZB7DPZKE","short_pith_number":"pith:TFSEUWGK","schema_version":"1.0","canonical_sha256":"99644a58cae80117674a77b21f8df95108ad2ece5db2489d5d0170ce986bbbbe","source":{"kind":"arxiv","id":"1112.0670","version":1},"attestation_state":"computed","paper":{"title":"Partial groupoid actions: globalization, Morita theory and Galois theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Antonio Paques, Dirceu Bagio","submitted_at":"2011-12-03T16:10:14Z","abstract_excerpt":"In this paper we introduce the notion of a partial action of a groupoid on a ring as well as we give a criteria for the existence of a globalization of it. We construct a Morita context associated to a globalizable partial groupoid action and we introduce the notion of a partial Galois extension, which is related to the strictness of this context."},"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":"1112.0670","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-12-03T16:10:14Z","cross_cats_sorted":[],"title_canon_sha256":"2b6ae5446f7af5656861e45af19e074187799cf0ba7b778c7be2e89c2fba175c","abstract_canon_sha256":"9e4ba163997795b113f7988982ff28095165ec0b848d1a4c2b513ffd66627679"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:27:15.545077Z","signature_b64":"BLd44pORJwYwgROShsIQ6GzJRCeEhVE3leq6XkhufLRMRFqw2AIKbQ3M26ZgynNszBKuLJ6ggpU/S4LjIdieCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"99644a58cae80117674a77b21f8df95108ad2ece5db2489d5d0170ce986bbbbe","last_reissued_at":"2026-05-18T01:27:15.544539Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:27:15.544539Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Partial groupoid actions: globalization, Morita theory and Galois theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Antonio Paques, Dirceu Bagio","submitted_at":"2011-12-03T16:10:14Z","abstract_excerpt":"In this paper we introduce the notion of a partial action of a groupoid on a ring as well as we give a criteria for the existence of a globalization of it. We construct a Morita context associated to a globalizable partial groupoid action and we introduce the notion of a partial Galois extension, which is related to the strictness of this context."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.0670","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":"1112.0670","created_at":"2026-05-18T01:27:15.544620+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.0670v1","created_at":"2026-05-18T01:27:15.544620+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.0670","created_at":"2026-05-18T01:27:15.544620+00:00"},{"alias_kind":"pith_short_12","alias_value":"TFSEUWGK5AAR","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_16","alias_value":"TFSEUWGK5AAROZ2K","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_8","alias_value":"TFSEUWGK","created_at":"2026-05-18T12:26:42.757692+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/TFSEUWGK5AAROZ2KO6ZB7DPZKE","json":"https://pith.science/pith/TFSEUWGK5AAROZ2KO6ZB7DPZKE.json","graph_json":"https://pith.science/api/pith-number/TFSEUWGK5AAROZ2KO6ZB7DPZKE/graph.json","events_json":"https://pith.science/api/pith-number/TFSEUWGK5AAROZ2KO6ZB7DPZKE/events.json","paper":"https://pith.science/paper/TFSEUWGK"},"agent_actions":{"view_html":"https://pith.science/pith/TFSEUWGK5AAROZ2KO6ZB7DPZKE","download_json":"https://pith.science/pith/TFSEUWGK5AAROZ2KO6ZB7DPZKE.json","view_paper":"https://pith.science/paper/TFSEUWGK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.0670&json=true","fetch_graph":"https://pith.science/api/pith-number/TFSEUWGK5AAROZ2KO6ZB7DPZKE/graph.json","fetch_events":"https://pith.science/api/pith-number/TFSEUWGK5AAROZ2KO6ZB7DPZKE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TFSEUWGK5AAROZ2KO6ZB7DPZKE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TFSEUWGK5AAROZ2KO6ZB7DPZKE/action/storage_attestation","attest_author":"https://pith.science/pith/TFSEUWGK5AAROZ2KO6ZB7DPZKE/action/author_attestation","sign_citation":"https://pith.science/pith/TFSEUWGK5AAROZ2KO6ZB7DPZKE/action/citation_signature","submit_replication":"https://pith.science/pith/TFSEUWGK5AAROZ2KO6ZB7DPZKE/action/replication_record"}},"created_at":"2026-05-18T01:27:15.544620+00:00","updated_at":"2026-05-18T01:27:15.544620+00:00"}