{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:KDW5IEITW5F2LBXMN7EHDUCVCV","short_pith_number":"pith:KDW5IEIT","schema_version":"1.0","canonical_sha256":"50edd41113b74ba586ec6fc871d0551567b70efe70d14901338532f46cd4ef2e","source":{"kind":"arxiv","id":"1301.7272","version":1},"attestation_state":"computed","paper":{"title":"Asymptotic properties of the hyperbolic metric on the sphere with three conical singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Tanran Zhang","submitted_at":"2013-01-30T16:20:52Z","abstract_excerpt":"The explicit formula for the hyperbolic metric $\\lambda_{\\alpha,\\,\\beta,\\,\\gamma}(z)|dz|$ on the thrice-punctured sphere $\\mathbb{P} \\backslash \\{z_1,\\,z_2,\\,z_3\\}$ with singularities of order $\\alpha,\\,\\beta,\\,\\gamma \\leq 1$ with $\\alpha+\\beta+\\gamma>2$ at $z_1,\\,z_2,\\,z_3$ was given by Kraus, Roth and Sugawa in \\cite{Rothhyper}. In this paper we investigate the asymptotic properties of the higher order derivatives of $\\lambda_{\\alpha,\\,\\beta,\\,\\gamma}(z)$ near the singularity and give some more precise description for the asymptotic behavior."},"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":"1301.7272","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-01-30T16:20:52Z","cross_cats_sorted":[],"title_canon_sha256":"cfd0a7af2c10102ec5ac680b1638bbc4279408ef1f3f97bba675683b606a6286","abstract_canon_sha256":"56135831803d451277d4735e5c9cedcbc05b6324d9a2195a9d1d6ff9a1dd13f1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:35:00.751568Z","signature_b64":"dHm+RLdCTMr3XD6Z4pN1YjjFUSmsM+lgwGF2wxBZkx6dNn4btpycLswzPQjqZqHUf+wO89DkAfMDYHLrHtLlCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"50edd41113b74ba586ec6fc871d0551567b70efe70d14901338532f46cd4ef2e","last_reissued_at":"2026-05-18T03:35:00.750735Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:35:00.750735Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymptotic properties of the hyperbolic metric on the sphere with three conical singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Tanran Zhang","submitted_at":"2013-01-30T16:20:52Z","abstract_excerpt":"The explicit formula for the hyperbolic metric $\\lambda_{\\alpha,\\,\\beta,\\,\\gamma}(z)|dz|$ on the thrice-punctured sphere $\\mathbb{P} \\backslash \\{z_1,\\,z_2,\\,z_3\\}$ with singularities of order $\\alpha,\\,\\beta,\\,\\gamma \\leq 1$ with $\\alpha+\\beta+\\gamma>2$ at $z_1,\\,z_2,\\,z_3$ was given by Kraus, Roth and Sugawa in \\cite{Rothhyper}. In this paper we investigate the asymptotic properties of the higher order derivatives of $\\lambda_{\\alpha,\\,\\beta,\\,\\gamma}(z)$ near the singularity and give some more precise description for the asymptotic behavior."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.7272","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":"1301.7272","created_at":"2026-05-18T03:35:00.750858+00:00"},{"alias_kind":"arxiv_version","alias_value":"1301.7272v1","created_at":"2026-05-18T03:35:00.750858+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.7272","created_at":"2026-05-18T03:35:00.750858+00:00"},{"alias_kind":"pith_short_12","alias_value":"KDW5IEITW5F2","created_at":"2026-05-18T12:27:49.015174+00:00"},{"alias_kind":"pith_short_16","alias_value":"KDW5IEITW5F2LBXM","created_at":"2026-05-18T12:27:49.015174+00:00"},{"alias_kind":"pith_short_8","alias_value":"KDW5IEIT","created_at":"2026-05-18T12:27:49.015174+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/KDW5IEITW5F2LBXMN7EHDUCVCV","json":"https://pith.science/pith/KDW5IEITW5F2LBXMN7EHDUCVCV.json","graph_json":"https://pith.science/api/pith-number/KDW5IEITW5F2LBXMN7EHDUCVCV/graph.json","events_json":"https://pith.science/api/pith-number/KDW5IEITW5F2LBXMN7EHDUCVCV/events.json","paper":"https://pith.science/paper/KDW5IEIT"},"agent_actions":{"view_html":"https://pith.science/pith/KDW5IEITW5F2LBXMN7EHDUCVCV","download_json":"https://pith.science/pith/KDW5IEITW5F2LBXMN7EHDUCVCV.json","view_paper":"https://pith.science/paper/KDW5IEIT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1301.7272&json=true","fetch_graph":"https://pith.science/api/pith-number/KDW5IEITW5F2LBXMN7EHDUCVCV/graph.json","fetch_events":"https://pith.science/api/pith-number/KDW5IEITW5F2LBXMN7EHDUCVCV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KDW5IEITW5F2LBXMN7EHDUCVCV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KDW5IEITW5F2LBXMN7EHDUCVCV/action/storage_attestation","attest_author":"https://pith.science/pith/KDW5IEITW5F2LBXMN7EHDUCVCV/action/author_attestation","sign_citation":"https://pith.science/pith/KDW5IEITW5F2LBXMN7EHDUCVCV/action/citation_signature","submit_replication":"https://pith.science/pith/KDW5IEITW5F2LBXMN7EHDUCVCV/action/replication_record"}},"created_at":"2026-05-18T03:35:00.750858+00:00","updated_at":"2026-05-18T03:35:00.750858+00:00"}