{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:O52TMM3Y2DT7DZVGWCA4DDAV65","short_pith_number":"pith:O52TMM3Y","schema_version":"1.0","canonical_sha256":"7775363378d0e7f1e6a6b081c18c15f74364f58cf01940a29eb053ba4180c394","source":{"kind":"arxiv","id":"1404.5249","version":1},"attestation_state":"computed","paper":{"title":"A classification of locally homogeneous affine connections on compact surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Adolfo Guillot, Antonia S\\'anchez Godinez","submitted_at":"2014-04-21T17:28:20Z","abstract_excerpt":"We classify the affine connections on compact orientable surfaces for which the pseudogroup of local isometries acts transitively. We prove that such a connection is either torsion-free and flat, the Levi-Civita connection of a Riemannian metric of constant curvature or the quotient of a translation-invariant connection in the plane."},"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":"1404.5249","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-04-21T17:28:20Z","cross_cats_sorted":[],"title_canon_sha256":"306c6f9721965f6cfa50c185c3608d8a76785ab699811af3b8c5e8116241d497","abstract_canon_sha256":"409a89a3625e776397110c7817e7d1ea3cac6e4874a5e8b89992e9876a3d1e94"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:30.862230Z","signature_b64":"9tjtk5dtREcjlhH5mgtuOvQDNhQicLnbo6gUmRYGvVh598S0G3wQRom5HsoOM3JPEn+vOyxVEe8RqS9EW9P1AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7775363378d0e7f1e6a6b081c18c15f74364f58cf01940a29eb053ba4180c394","last_reissued_at":"2026-05-18T01:19:30.861597Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:30.861597Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A classification of locally homogeneous affine connections on compact surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Adolfo Guillot, Antonia S\\'anchez Godinez","submitted_at":"2014-04-21T17:28:20Z","abstract_excerpt":"We classify the affine connections on compact orientable surfaces for which the pseudogroup of local isometries acts transitively. We prove that such a connection is either torsion-free and flat, the Levi-Civita connection of a Riemannian metric of constant curvature or the quotient of a translation-invariant connection in the plane."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.5249","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":"1404.5249","created_at":"2026-05-18T01:19:30.861685+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.5249v1","created_at":"2026-05-18T01:19:30.861685+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.5249","created_at":"2026-05-18T01:19:30.861685+00:00"},{"alias_kind":"pith_short_12","alias_value":"O52TMM3Y2DT7","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_16","alias_value":"O52TMM3Y2DT7DZVG","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_8","alias_value":"O52TMM3Y","created_at":"2026-05-18T12:28:41.024544+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/O52TMM3Y2DT7DZVGWCA4DDAV65","json":"https://pith.science/pith/O52TMM3Y2DT7DZVGWCA4DDAV65.json","graph_json":"https://pith.science/api/pith-number/O52TMM3Y2DT7DZVGWCA4DDAV65/graph.json","events_json":"https://pith.science/api/pith-number/O52TMM3Y2DT7DZVGWCA4DDAV65/events.json","paper":"https://pith.science/paper/O52TMM3Y"},"agent_actions":{"view_html":"https://pith.science/pith/O52TMM3Y2DT7DZVGWCA4DDAV65","download_json":"https://pith.science/pith/O52TMM3Y2DT7DZVGWCA4DDAV65.json","view_paper":"https://pith.science/paper/O52TMM3Y","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.5249&json=true","fetch_graph":"https://pith.science/api/pith-number/O52TMM3Y2DT7DZVGWCA4DDAV65/graph.json","fetch_events":"https://pith.science/api/pith-number/O52TMM3Y2DT7DZVGWCA4DDAV65/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/O52TMM3Y2DT7DZVGWCA4DDAV65/action/timestamp_anchor","attest_storage":"https://pith.science/pith/O52TMM3Y2DT7DZVGWCA4DDAV65/action/storage_attestation","attest_author":"https://pith.science/pith/O52TMM3Y2DT7DZVGWCA4DDAV65/action/author_attestation","sign_citation":"https://pith.science/pith/O52TMM3Y2DT7DZVGWCA4DDAV65/action/citation_signature","submit_replication":"https://pith.science/pith/O52TMM3Y2DT7DZVGWCA4DDAV65/action/replication_record"}},"created_at":"2026-05-18T01:19:30.861685+00:00","updated_at":"2026-05-18T01:19:30.861685+00:00"}