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Let $D_1,\\ldots,D_{n+1}$ be $\\mathbb Z$-linearly independent effective divisors in ${\\rm Div}(X)$ and $D:=D_1+\\cdots+D_{n+1}$ be a normal crossing divisor of $X$. Assume furthermore that they are numerically parallel. Let $\\Delta=\\sum_{i=1}^{n+1} (1-m_i^{-1}) D_i$ and let $f:\\mathbb C\\to (X,\\Delta) $ be an orbifold entire curve. Then, there exists a positive integer $\\ell$ such that, the orbifold $ (X,\\Delta_{\\ell}) $ is of general type, where $\\Delta_{\\el"},"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":"2506.00873","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.CV","submitted_at":"2025-06-01T07:20:29Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"8ce0da043d677737038715beb88c3019e8378ed49aff6fec83b666a336aaf3c2","abstract_canon_sha256":"8ad30724909262a4e9fe008ee8093486c2b17f27d27456aff95231ea54407ec9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:13:41.984703Z","signature_b64":"l0BQ/opTd7fgaYheTlVUx3LmfS1XYy8c52LgY47HUrLK00EMdBTXab/O1dLKrfFMxNDvLQB7FrRWmSjSqYZSAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ca82df90ca920dd907cf6bdb71c20437128a005a26fc05c2900ab663d788cd2","last_reissued_at":"2026-07-05T11:13:41.984199Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:13:41.984199Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Campana's orbifold conjecture for numerically equivalent divisors","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.CV","authors_text":"Julie Tzu-Yueh Wang, Min Ru","submitted_at":"2025-06-01T07:20:29Z","abstract_excerpt":"We prove the following version of the Campana's orbifold conjecture: Let $X$ be a complex non-singular projective variety of dimension $n$. Let $D_1,\\ldots,D_{n+1}$ be $\\mathbb Z$-linearly independent effective divisors in ${\\rm Div}(X)$ and $D:=D_1+\\cdots+D_{n+1}$ be a normal crossing divisor of $X$. Assume furthermore that they are numerically parallel. Let $\\Delta=\\sum_{i=1}^{n+1} (1-m_i^{-1}) D_i$ and let $f:\\mathbb C\\to (X,\\Delta) $ be an orbifold entire curve. Then, there exists a positive integer $\\ell$ such that, the orbifold $ (X,\\Delta_{\\ell}) $ is of general type, where $\\Delta_{\\el"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.00873","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.00873/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2506.00873","created_at":"2026-07-05T11:13:41.984266+00:00"},{"alias_kind":"arxiv_version","alias_value":"2506.00873v1","created_at":"2026-07-05T11:13:41.984266+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.00873","created_at":"2026-07-05T11:13:41.984266+00:00"},{"alias_kind":"pith_short_12","alias_value":"BSUC36IMVEQN","created_at":"2026-07-05T11:13:41.984266+00:00"},{"alias_kind":"pith_short_16","alias_value":"BSUC36IMVEQN3ED4","created_at":"2026-07-05T11:13:41.984266+00:00"},{"alias_kind":"pith_short_8","alias_value":"BSUC36IM","created_at":"2026-07-05T11:13:41.984266+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/BSUC36IMVEQN3ED46263OHBAIN","json":"https://pith.science/pith/BSUC36IMVEQN3ED46263OHBAIN.json","graph_json":"https://pith.science/api/pith-number/BSUC36IMVEQN3ED46263OHBAIN/graph.json","events_json":"https://pith.science/api/pith-number/BSUC36IMVEQN3ED46263OHBAIN/events.json","paper":"https://pith.science/paper/BSUC36IM"},"agent_actions":{"view_html":"https://pith.science/pith/BSUC36IMVEQN3ED46263OHBAIN","download_json":"https://pith.science/pith/BSUC36IMVEQN3ED46263OHBAIN.json","view_paper":"https://pith.science/paper/BSUC36IM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2506.00873&json=true","fetch_graph":"https://pith.science/api/pith-number/BSUC36IMVEQN3ED46263OHBAIN/graph.json","fetch_events":"https://pith.science/api/pith-number/BSUC36IMVEQN3ED46263OHBAIN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BSUC36IMVEQN3ED46263OHBAIN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BSUC36IMVEQN3ED46263OHBAIN/action/storage_attestation","attest_author":"https://pith.science/pith/BSUC36IMVEQN3ED46263OHBAIN/action/author_attestation","sign_citation":"https://pith.science/pith/BSUC36IMVEQN3ED46263OHBAIN/action/citation_signature","submit_replication":"https://pith.science/pith/BSUC36IMVEQN3ED46263OHBAIN/action/replication_record"}},"created_at":"2026-07-05T11:13:41.984266+00:00","updated_at":"2026-07-05T11:13:41.984266+00:00"}