{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:L4IGVTY74F2STOIVSZ65IAS35M","short_pith_number":"pith:L4IGVTY7","schema_version":"1.0","canonical_sha256":"5f106acf1fe17529b915967dd4025beb140f0f119d9f4c87af0dcc81dc27c9b0","source":{"kind":"arxiv","id":"1612.02121","version":2},"attestation_state":"computed","paper":{"title":"Finiteness Theorems for Products and Symmetric Products of Hyperbolic Riemann Surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Divakaran Divakaran, Jaikrishnan Janardhanan","submitted_at":"2016-12-07T06:13:51Z","abstract_excerpt":"We prove that if $X = X_1 \\times \\dots \\times X_n$ is a product of hyperbolic Riemann surfaces of finite type and $Y = \\Omega/\\Gamma$ is a complex manifold, where $\\Omega$ is a bounded simply-connected domain in $\\mathbb{C}^m$, then the space of dominant holomorphic mappings from $X$ to $Y$ is a finite set. As corollaries, we obtain the finiteness of the space of dominant holomorphic mappings into products and symmetric products of hyperbolic Riemann surfaces."},"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":"1612.02121","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-12-07T06:13:51Z","cross_cats_sorted":[],"title_canon_sha256":"e8a8e2d22f31a6851a8554ea3a6124402d818bff6c27ca2e08a855af8c23f08d","abstract_canon_sha256":"d56031c7e2a1932836c752a3d2b02b1ee3153ac55db311d8c0e160cc72a9f58d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:52.438789Z","signature_b64":"WI+0V4OblR4gvMBbU/e8jt2rinVIyszFgnB2OWRckNdkPtccCgLYKvVzv/kCPpNixnFJTpKkSs0BmrACuuI1CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5f106acf1fe17529b915967dd4025beb140f0f119d9f4c87af0dcc81dc27c9b0","last_reissued_at":"2026-05-18T00:54:52.438343Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:52.438343Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Finiteness Theorems for Products and Symmetric Products of Hyperbolic Riemann Surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Divakaran Divakaran, Jaikrishnan Janardhanan","submitted_at":"2016-12-07T06:13:51Z","abstract_excerpt":"We prove that if $X = X_1 \\times \\dots \\times X_n$ is a product of hyperbolic Riemann surfaces of finite type and $Y = \\Omega/\\Gamma$ is a complex manifold, where $\\Omega$ is a bounded simply-connected domain in $\\mathbb{C}^m$, then the space of dominant holomorphic mappings from $X$ to $Y$ is a finite set. As corollaries, we obtain the finiteness of the space of dominant holomorphic mappings into products and symmetric products of hyperbolic Riemann surfaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.02121","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":"1612.02121","created_at":"2026-05-18T00:54:52.438412+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.02121v2","created_at":"2026-05-18T00:54:52.438412+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.02121","created_at":"2026-05-18T00:54:52.438412+00:00"},{"alias_kind":"pith_short_12","alias_value":"L4IGVTY74F2S","created_at":"2026-05-18T12:30:29.479603+00:00"},{"alias_kind":"pith_short_16","alias_value":"L4IGVTY74F2STOIV","created_at":"2026-05-18T12:30:29.479603+00:00"},{"alias_kind":"pith_short_8","alias_value":"L4IGVTY7","created_at":"2026-05-18T12:30:29.479603+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/L4IGVTY74F2STOIVSZ65IAS35M","json":"https://pith.science/pith/L4IGVTY74F2STOIVSZ65IAS35M.json","graph_json":"https://pith.science/api/pith-number/L4IGVTY74F2STOIVSZ65IAS35M/graph.json","events_json":"https://pith.science/api/pith-number/L4IGVTY74F2STOIVSZ65IAS35M/events.json","paper":"https://pith.science/paper/L4IGVTY7"},"agent_actions":{"view_html":"https://pith.science/pith/L4IGVTY74F2STOIVSZ65IAS35M","download_json":"https://pith.science/pith/L4IGVTY74F2STOIVSZ65IAS35M.json","view_paper":"https://pith.science/paper/L4IGVTY7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.02121&json=true","fetch_graph":"https://pith.science/api/pith-number/L4IGVTY74F2STOIVSZ65IAS35M/graph.json","fetch_events":"https://pith.science/api/pith-number/L4IGVTY74F2STOIVSZ65IAS35M/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L4IGVTY74F2STOIVSZ65IAS35M/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L4IGVTY74F2STOIVSZ65IAS35M/action/storage_attestation","attest_author":"https://pith.science/pith/L4IGVTY74F2STOIVSZ65IAS35M/action/author_attestation","sign_citation":"https://pith.science/pith/L4IGVTY74F2STOIVSZ65IAS35M/action/citation_signature","submit_replication":"https://pith.science/pith/L4IGVTY74F2STOIVSZ65IAS35M/action/replication_record"}},"created_at":"2026-05-18T00:54:52.438412+00:00","updated_at":"2026-05-18T00:54:52.438412+00:00"}