{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:XWLQJ6QUKXJ3Q4VVXNUBYJ4WCD","short_pith_number":"pith:XWLQJ6QU","schema_version":"1.0","canonical_sha256":"bd9704fa1455d3b872b5bb681c279610d10867070ac19c8cb10e89590db01d30","source":{"kind":"arxiv","id":"1512.03776","version":1},"attestation_state":"computed","paper":{"title":"Log-Riemann Surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Kingshook Biswas, Ricardo Perez-Marco","submitted_at":"2015-12-11T19:57:00Z","abstract_excerpt":"We introduce the notion of log-Riemann surfaces. These are Riemann surfaces given by cutting and pasting planes together isometrically, and come equipped with a holomorphic local diffeomorphism to C called the projection map, and a corresponding flat metric obtained by pulling back the Euclidean metric. We define ramification points to be the points added in the metric completion of the surface with respect to the induced path metric; any such point has a well-defined order $1 \\leq n \\leq +\\infty$ such that the projection map restricted to a small punctured neighbourhood of the point is an $n-"},"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":"1512.03776","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-12-11T19:57:00Z","cross_cats_sorted":[],"title_canon_sha256":"c010c0b02a253237baf88c11787748ee47a6dbd44508ae6bdb66d1d0bdda6201","abstract_canon_sha256":"67fed53e5f7763f1c9239fe03fd630cbdf98473538a9d377e49dafaf0cae0aca"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:31.402212Z","signature_b64":"5929blmeFfkjf5Ypq3Jqcyp176GbefGjPuviHZa8JzduGUf+StTcm80NTGf9XGtOgus+cMW550eVQqleQ9uYBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd9704fa1455d3b872b5bb681c279610d10867070ac19c8cb10e89590db01d30","last_reissued_at":"2026-05-18T01:24:31.401535Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:31.401535Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Log-Riemann Surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Kingshook Biswas, Ricardo Perez-Marco","submitted_at":"2015-12-11T19:57:00Z","abstract_excerpt":"We introduce the notion of log-Riemann surfaces. These are Riemann surfaces given by cutting and pasting planes together isometrically, and come equipped with a holomorphic local diffeomorphism to C called the projection map, and a corresponding flat metric obtained by pulling back the Euclidean metric. We define ramification points to be the points added in the metric completion of the surface with respect to the induced path metric; any such point has a well-defined order $1 \\leq n \\leq +\\infty$ such that the projection map restricted to a small punctured neighbourhood of the point is an $n-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.03776","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":"1512.03776","created_at":"2026-05-18T01:24:31.401646+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.03776v1","created_at":"2026-05-18T01:24:31.401646+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.03776","created_at":"2026-05-18T01:24:31.401646+00:00"},{"alias_kind":"pith_short_12","alias_value":"XWLQJ6QUKXJ3","created_at":"2026-05-18T12:29:50.041715+00:00"},{"alias_kind":"pith_short_16","alias_value":"XWLQJ6QUKXJ3Q4VV","created_at":"2026-05-18T12:29:50.041715+00:00"},{"alias_kind":"pith_short_8","alias_value":"XWLQJ6QU","created_at":"2026-05-18T12:29:50.041715+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2410.04583","citing_title":"A new quasi-analytic class","ref_index":2,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XWLQJ6QUKXJ3Q4VVXNUBYJ4WCD","json":"https://pith.science/pith/XWLQJ6QUKXJ3Q4VVXNUBYJ4WCD.json","graph_json":"https://pith.science/api/pith-number/XWLQJ6QUKXJ3Q4VVXNUBYJ4WCD/graph.json","events_json":"https://pith.science/api/pith-number/XWLQJ6QUKXJ3Q4VVXNUBYJ4WCD/events.json","paper":"https://pith.science/paper/XWLQJ6QU"},"agent_actions":{"view_html":"https://pith.science/pith/XWLQJ6QUKXJ3Q4VVXNUBYJ4WCD","download_json":"https://pith.science/pith/XWLQJ6QUKXJ3Q4VVXNUBYJ4WCD.json","view_paper":"https://pith.science/paper/XWLQJ6QU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.03776&json=true","fetch_graph":"https://pith.science/api/pith-number/XWLQJ6QUKXJ3Q4VVXNUBYJ4WCD/graph.json","fetch_events":"https://pith.science/api/pith-number/XWLQJ6QUKXJ3Q4VVXNUBYJ4WCD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XWLQJ6QUKXJ3Q4VVXNUBYJ4WCD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XWLQJ6QUKXJ3Q4VVXNUBYJ4WCD/action/storage_attestation","attest_author":"https://pith.science/pith/XWLQJ6QUKXJ3Q4VVXNUBYJ4WCD/action/author_attestation","sign_citation":"https://pith.science/pith/XWLQJ6QUKXJ3Q4VVXNUBYJ4WCD/action/citation_signature","submit_replication":"https://pith.science/pith/XWLQJ6QUKXJ3Q4VVXNUBYJ4WCD/action/replication_record"}},"created_at":"2026-05-18T01:24:31.401646+00:00","updated_at":"2026-05-18T01:24:31.401646+00:00"}