{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:ZW2XLUOYFLLA6CKW4Y5O5SYZ4N","short_pith_number":"pith:ZW2XLUOY","schema_version":"1.0","canonical_sha256":"cdb575d1d82ad60f0956e63aeecb19e36b4d5cd8f78cf8fd71183957ccc8b633","source":{"kind":"arxiv","id":"1709.03112","version":2},"attestation_state":"computed","paper":{"title":"Bounded Projective Functions and Hyperbolic Metrics with Isolated Singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.CV"],"primary_cat":"math.DG","authors_text":"Bin Xu, Bo Li, Long Li, Yu Feng","submitted_at":"2017-09-10T15:19:02Z","abstract_excerpt":"We establish a correspondence on a Riemann surface between hyperbolic metrics with isolated singularities and bounded projective functions whose Schwarzian derivatives have at most double poles and whose monodromies lie in ${\\rm PSU}(1,\\,1)$. As an application, we construct explicitly a new class of hyperbolic metrics with countably many singularities on the unit disc."},"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":"1709.03112","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-09-10T15:19:02Z","cross_cats_sorted":["math.AP","math.CV"],"title_canon_sha256":"a27e5b402edf5fcf3d3adb4fceefa6841de84019d5f7a2a22c75a49be9fa8376","abstract_canon_sha256":"70d208dfa0fc04cb2635754777a6566fe5e2d65ea67e1b9dfdc77eee1c10fbf4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:38.974718Z","signature_b64":"h64J8JmnB21WL6o3EOMhV/FO5NjeVITs9aoXOXS1Am1HSpEsnXzoYvnP7FlcXdDoGkcDtHgTvsoj9jPHdPZjCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cdb575d1d82ad60f0956e63aeecb19e36b4d5cd8f78cf8fd71183957ccc8b633","last_reissued_at":"2026-05-17T23:56:38.973924Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:38.973924Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bounded Projective Functions and Hyperbolic Metrics with Isolated Singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.CV"],"primary_cat":"math.DG","authors_text":"Bin Xu, Bo Li, Long Li, Yu Feng","submitted_at":"2017-09-10T15:19:02Z","abstract_excerpt":"We establish a correspondence on a Riemann surface between hyperbolic metrics with isolated singularities and bounded projective functions whose Schwarzian derivatives have at most double poles and whose monodromies lie in ${\\rm PSU}(1,\\,1)$. As an application, we construct explicitly a new class of hyperbolic metrics with countably many singularities on the unit disc."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.03112","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":"1709.03112","created_at":"2026-05-17T23:56:38.974054+00:00"},{"alias_kind":"arxiv_version","alias_value":"1709.03112v2","created_at":"2026-05-17T23:56:38.974054+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.03112","created_at":"2026-05-17T23:56:38.974054+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZW2XLUOYFLLA","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZW2XLUOYFLLA6CKW","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZW2XLUOY","created_at":"2026-05-18T12:31:59.375834+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/ZW2XLUOYFLLA6CKW4Y5O5SYZ4N","json":"https://pith.science/pith/ZW2XLUOYFLLA6CKW4Y5O5SYZ4N.json","graph_json":"https://pith.science/api/pith-number/ZW2XLUOYFLLA6CKW4Y5O5SYZ4N/graph.json","events_json":"https://pith.science/api/pith-number/ZW2XLUOYFLLA6CKW4Y5O5SYZ4N/events.json","paper":"https://pith.science/paper/ZW2XLUOY"},"agent_actions":{"view_html":"https://pith.science/pith/ZW2XLUOYFLLA6CKW4Y5O5SYZ4N","download_json":"https://pith.science/pith/ZW2XLUOYFLLA6CKW4Y5O5SYZ4N.json","view_paper":"https://pith.science/paper/ZW2XLUOY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1709.03112&json=true","fetch_graph":"https://pith.science/api/pith-number/ZW2XLUOYFLLA6CKW4Y5O5SYZ4N/graph.json","fetch_events":"https://pith.science/api/pith-number/ZW2XLUOYFLLA6CKW4Y5O5SYZ4N/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZW2XLUOYFLLA6CKW4Y5O5SYZ4N/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZW2XLUOYFLLA6CKW4Y5O5SYZ4N/action/storage_attestation","attest_author":"https://pith.science/pith/ZW2XLUOYFLLA6CKW4Y5O5SYZ4N/action/author_attestation","sign_citation":"https://pith.science/pith/ZW2XLUOYFLLA6CKW4Y5O5SYZ4N/action/citation_signature","submit_replication":"https://pith.science/pith/ZW2XLUOYFLLA6CKW4Y5O5SYZ4N/action/replication_record"}},"created_at":"2026-05-17T23:56:38.974054+00:00","updated_at":"2026-05-17T23:56:38.974054+00:00"}