{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1999:ACJ4E3HENTPFLD2B7KRLV6LYXO","short_pith_number":"pith:ACJ4E3HE","schema_version":"1.0","canonical_sha256":"0093c26ce46cde558f41faa2baf978bb8a61b27d54c6cea7cdaa8792a4d80560","source":{"kind":"arxiv","id":"math/9904183","version":1},"attestation_state":"computed","paper":{"title":"Double sections and dominating maps","license":"","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Gregery T. Buzzard, Steven Lu (Fields Institute, University of Waterloo)","submitted_at":"1999-04-19T00:00:00Z","abstract_excerpt":"As is well-known, given the complex sphere P^1 minus two points, there exist nonconstant holomorphic maps from the plane into this set, the simplest example of which is given by applying the exponential map and then composing with a M\\\"obius transformation taking 0 and 1 to the two given punctures. Likewise, given the sphere minus one point, we can map the plane into this set by simply applying directly a M\\\"obius transformation taking 1 to this puncture.\n  In this paper we prove a parametrized version of this result."},"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":"math/9904183","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.CV","submitted_at":"1999-04-19T00:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"8d1f8906b6329bb08f870ac7a8217a97d6ac7462f93eed0680da1727ce4f383f","abstract_canon_sha256":"e272814816cca898fa0fec7f7decfed8f30a5b0f5ff05f576e52f5589263e13d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:33.103861Z","signature_b64":"siUTCMeEsQ1DkP1ESujGqztJZeLQdtF/Zqrnlfk7lShkqCjwtuqPrHqiGZhRzt3QXs1kAZ7/7jdH7adEKw/ACw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0093c26ce46cde558f41faa2baf978bb8a61b27d54c6cea7cdaa8792a4d80560","last_reissued_at":"2026-05-18T01:05:33.103201Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:33.103201Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Double sections and dominating maps","license":"","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Gregery T. Buzzard, Steven Lu (Fields Institute, University of Waterloo)","submitted_at":"1999-04-19T00:00:00Z","abstract_excerpt":"As is well-known, given the complex sphere P^1 minus two points, there exist nonconstant holomorphic maps from the plane into this set, the simplest example of which is given by applying the exponential map and then composing with a M\\\"obius transformation taking 0 and 1 to the two given punctures. Likewise, given the sphere minus one point, we can map the plane into this set by simply applying directly a M\\\"obius transformation taking 1 to this puncture.\n  In this paper we prove a parametrized version of this result."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9904183","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":"math/9904183","created_at":"2026-05-18T01:05:33.103292+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/9904183v1","created_at":"2026-05-18T01:05:33.103292+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9904183","created_at":"2026-05-18T01:05:33.103292+00:00"},{"alias_kind":"pith_short_12","alias_value":"ACJ4E3HENTPF","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_16","alias_value":"ACJ4E3HENTPFLD2B","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_8","alias_value":"ACJ4E3HE","created_at":"2026-05-18T12:25:49.038998+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/ACJ4E3HENTPFLD2B7KRLV6LYXO","json":"https://pith.science/pith/ACJ4E3HENTPFLD2B7KRLV6LYXO.json","graph_json":"https://pith.science/api/pith-number/ACJ4E3HENTPFLD2B7KRLV6LYXO/graph.json","events_json":"https://pith.science/api/pith-number/ACJ4E3HENTPFLD2B7KRLV6LYXO/events.json","paper":"https://pith.science/paper/ACJ4E3HE"},"agent_actions":{"view_html":"https://pith.science/pith/ACJ4E3HENTPFLD2B7KRLV6LYXO","download_json":"https://pith.science/pith/ACJ4E3HENTPFLD2B7KRLV6LYXO.json","view_paper":"https://pith.science/paper/ACJ4E3HE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/9904183&json=true","fetch_graph":"https://pith.science/api/pith-number/ACJ4E3HENTPFLD2B7KRLV6LYXO/graph.json","fetch_events":"https://pith.science/api/pith-number/ACJ4E3HENTPFLD2B7KRLV6LYXO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ACJ4E3HENTPFLD2B7KRLV6LYXO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ACJ4E3HENTPFLD2B7KRLV6LYXO/action/storage_attestation","attest_author":"https://pith.science/pith/ACJ4E3HENTPFLD2B7KRLV6LYXO/action/author_attestation","sign_citation":"https://pith.science/pith/ACJ4E3HENTPFLD2B7KRLV6LYXO/action/citation_signature","submit_replication":"https://pith.science/pith/ACJ4E3HENTPFLD2B7KRLV6LYXO/action/replication_record"}},"created_at":"2026-05-18T01:05:33.103292+00:00","updated_at":"2026-05-18T01:05:33.103292+00:00"}