{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:VOLRGTYZRMKR5MBWAT6QR7VW6R","short_pith_number":"pith:VOLRGTYZ","schema_version":"1.0","canonical_sha256":"ab97134f198b151eb03604fd08feb6f4692944496f7ab1d70c27dac73b359434","source":{"kind":"arxiv","id":"1304.6998","version":2},"attestation_state":"computed","paper":{"title":"Sharpness of Rickman's Picard theorem in all dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"David Drasin, Pekka Pankka","submitted_at":"2013-04-25T19:57:59Z","abstract_excerpt":"We show that given $n\\ge 3$, $q\\ge 1$, and a finite set $\\{y_1,\\ldots, y_q\\}$ in $\\mathbb R^n$ there exists a quasiregular mapping $\\mathbb R^n \\to \\mathbb R^n$ omitting exactly points $y_1,\\ldots, y_q$."},"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":"1304.6998","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-04-25T19:57:59Z","cross_cats_sorted":[],"title_canon_sha256":"9999bc4bb7165a0a791c1077e44db47f4d1820bcfd8f4fd70dba951b32273579","abstract_canon_sha256":"973854341c041bd67a801d41dc81c6f2a84825225919325c1be6ce762e12dc19"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:37:44.884643Z","signature_b64":"d+xBKxJOJkTtSKXwahJKHQL9FJeG8QJYdt/+FfMy+TEc3Ub1QgkGvO18qndbiF8rr9ccA1ev+IOjd4UaGfD2Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab97134f198b151eb03604fd08feb6f4692944496f7ab1d70c27dac73b359434","last_reissued_at":"2026-05-18T02:37:44.884097Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:37:44.884097Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sharpness of Rickman's Picard theorem in all dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"David Drasin, Pekka Pankka","submitted_at":"2013-04-25T19:57:59Z","abstract_excerpt":"We show that given $n\\ge 3$, $q\\ge 1$, and a finite set $\\{y_1,\\ldots, y_q\\}$ in $\\mathbb R^n$ there exists a quasiregular mapping $\\mathbb R^n \\to \\mathbb R^n$ omitting exactly points $y_1,\\ldots, y_q$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.6998","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":""},"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":"1304.6998","created_at":"2026-05-18T02:37:44.884181+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.6998v2","created_at":"2026-05-18T02:37:44.884181+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.6998","created_at":"2026-05-18T02:37:44.884181+00:00"},{"alias_kind":"pith_short_12","alias_value":"VOLRGTYZRMKR","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_16","alias_value":"VOLRGTYZRMKR5MBW","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_8","alias_value":"VOLRGTYZ","created_at":"2026-05-18T12:28:04.890932+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/VOLRGTYZRMKR5MBWAT6QR7VW6R","json":"https://pith.science/pith/VOLRGTYZRMKR5MBWAT6QR7VW6R.json","graph_json":"https://pith.science/api/pith-number/VOLRGTYZRMKR5MBWAT6QR7VW6R/graph.json","events_json":"https://pith.science/api/pith-number/VOLRGTYZRMKR5MBWAT6QR7VW6R/events.json","paper":"https://pith.science/paper/VOLRGTYZ"},"agent_actions":{"view_html":"https://pith.science/pith/VOLRGTYZRMKR5MBWAT6QR7VW6R","download_json":"https://pith.science/pith/VOLRGTYZRMKR5MBWAT6QR7VW6R.json","view_paper":"https://pith.science/paper/VOLRGTYZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.6998&json=true","fetch_graph":"https://pith.science/api/pith-number/VOLRGTYZRMKR5MBWAT6QR7VW6R/graph.json","fetch_events":"https://pith.science/api/pith-number/VOLRGTYZRMKR5MBWAT6QR7VW6R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VOLRGTYZRMKR5MBWAT6QR7VW6R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VOLRGTYZRMKR5MBWAT6QR7VW6R/action/storage_attestation","attest_author":"https://pith.science/pith/VOLRGTYZRMKR5MBWAT6QR7VW6R/action/author_attestation","sign_citation":"https://pith.science/pith/VOLRGTYZRMKR5MBWAT6QR7VW6R/action/citation_signature","submit_replication":"https://pith.science/pith/VOLRGTYZRMKR5MBWAT6QR7VW6R/action/replication_record"}},"created_at":"2026-05-18T02:37:44.884181+00:00","updated_at":"2026-05-18T02:37:44.884181+00:00"}