{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:MUCVILFOHGE7XYEAESX2FO3DAZ","short_pith_number":"pith:MUCVILFO","schema_version":"1.0","canonical_sha256":"6505542cae3989fbe08024afa2bb630650a8f995d7b6dae332493e5056878aab","source":{"kind":"arxiv","id":"1512.08840","version":1},"attestation_state":"computed","paper":{"title":"$\\mathbb{Q}$-Homology Plane pairs with Logarithmic Kodaira dimension 1","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Sagar Kolte","submitted_at":"2015-12-30T04:06:59Z","abstract_excerpt":"A pair $(S,C)$ is called a singular $\\mathbb{Q}$-homology plane pair if $S$ is a singular projective surface with only quotient singularities having the same rational homology as $\\mathbb{p}^2$ and $C \\subset S$ has the same rational homology as $\\mathbb{p}^1$. We will prove results concerning smooth rational curves on $S$ and the singularities of $S$ such that $\\overline \\kappa(S^0)=1$ and $\\overline \\kappa(S-C) \\neq -\\infty$. We end with an example of such pairs."},"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":"1512.08840","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-12-30T04:06:59Z","cross_cats_sorted":[],"title_canon_sha256":"33d7ec989b575134ed2443f93fd2a5365dc99208240d21113ec1222a0907c66f","abstract_canon_sha256":"76981377b549e9e05874f7ad2fd64cecb382236cf6c49164c47639ba106bdfb1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:34.730255Z","signature_b64":"rR5af8eJ2TZAY2IuhExznGIP7vyzcGQ6uNjEYwLTrFWxC+y8zFvRPqlwPu1xgvdvxVINeigm8HDvcmE2t5vjAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6505542cae3989fbe08024afa2bb630650a8f995d7b6dae332493e5056878aab","last_reissued_at":"2026-05-18T01:23:34.729767Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:34.729767Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$\\mathbb{Q}$-Homology Plane pairs with Logarithmic Kodaira dimension 1","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Sagar Kolte","submitted_at":"2015-12-30T04:06:59Z","abstract_excerpt":"A pair $(S,C)$ is called a singular $\\mathbb{Q}$-homology plane pair if $S$ is a singular projective surface with only quotient singularities having the same rational homology as $\\mathbb{p}^2$ and $C \\subset S$ has the same rational homology as $\\mathbb{p}^1$. We will prove results concerning smooth rational curves on $S$ and the singularities of $S$ such that $\\overline \\kappa(S^0)=1$ and $\\overline \\kappa(S-C) \\neq -\\infty$. We end with an example of such pairs."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.08840","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":"1512.08840","created_at":"2026-05-18T01:23:34.729836+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.08840v1","created_at":"2026-05-18T01:23:34.729836+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.08840","created_at":"2026-05-18T01:23:34.729836+00:00"},{"alias_kind":"pith_short_12","alias_value":"MUCVILFOHGE7","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_16","alias_value":"MUCVILFOHGE7XYEA","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_8","alias_value":"MUCVILFO","created_at":"2026-05-18T12:29:32.376354+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/MUCVILFOHGE7XYEAESX2FO3DAZ","json":"https://pith.science/pith/MUCVILFOHGE7XYEAESX2FO3DAZ.json","graph_json":"https://pith.science/api/pith-number/MUCVILFOHGE7XYEAESX2FO3DAZ/graph.json","events_json":"https://pith.science/api/pith-number/MUCVILFOHGE7XYEAESX2FO3DAZ/events.json","paper":"https://pith.science/paper/MUCVILFO"},"agent_actions":{"view_html":"https://pith.science/pith/MUCVILFOHGE7XYEAESX2FO3DAZ","download_json":"https://pith.science/pith/MUCVILFOHGE7XYEAESX2FO3DAZ.json","view_paper":"https://pith.science/paper/MUCVILFO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.08840&json=true","fetch_graph":"https://pith.science/api/pith-number/MUCVILFOHGE7XYEAESX2FO3DAZ/graph.json","fetch_events":"https://pith.science/api/pith-number/MUCVILFOHGE7XYEAESX2FO3DAZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MUCVILFOHGE7XYEAESX2FO3DAZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MUCVILFOHGE7XYEAESX2FO3DAZ/action/storage_attestation","attest_author":"https://pith.science/pith/MUCVILFOHGE7XYEAESX2FO3DAZ/action/author_attestation","sign_citation":"https://pith.science/pith/MUCVILFOHGE7XYEAESX2FO3DAZ/action/citation_signature","submit_replication":"https://pith.science/pith/MUCVILFOHGE7XYEAESX2FO3DAZ/action/replication_record"}},"created_at":"2026-05-18T01:23:34.729836+00:00","updated_at":"2026-05-18T01:23:34.729836+00:00"}