{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:DNTSHX6OMH7KZSEU6ICNI54GRQ","short_pith_number":"pith:DNTSHX6O","schema_version":"1.0","canonical_sha256":"1b6723dfce61feacc894f204d477868c34907194a6f13f25c85fa7c6fba8bce1","source":{"kind":"arxiv","id":"1502.00817","version":2},"attestation_state":"computed","paper":{"title":"On invariance of plurigenera for foliations on surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.AG","authors_text":"Enrica Floris, Paolo Cascini","submitted_at":"2015-02-03T11:28:00Z","abstract_excerpt":"We show that if $(X_t,\\mathcal{F}_t)_t$ is a family of foliations with reduced singularities on a smooth family of surfaces, then invariance of plurigenera holds for sufficiently large $m$. On the other hand, we provide examples on which the result fails, for small values of $m$."},"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":"1502.00817","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-02-03T11:28:00Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"7e22d20471e5ce0fb6c4987f9354c4d03a1a8100b38e034c8e699a89e1510127","abstract_canon_sha256":"6ca8754f78ee8da07e2aab6397cede495734924af4565138daefc3025fcedbe8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:25:30.743837Z","signature_b64":"6hddo05ypBPsishmQy9QnE90pBsE2e0DXIPoGG5qfHxF0t9MFsfKaMyhwIVLnPUC6tUWgn+a64LJWEy/jgnwCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b6723dfce61feacc894f204d477868c34907194a6f13f25c85fa7c6fba8bce1","last_reissued_at":"2026-05-18T01:25:30.743147Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:25:30.743147Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On invariance of plurigenera for foliations on surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.AG","authors_text":"Enrica Floris, Paolo Cascini","submitted_at":"2015-02-03T11:28:00Z","abstract_excerpt":"We show that if $(X_t,\\mathcal{F}_t)_t$ is a family of foliations with reduced singularities on a smooth family of surfaces, then invariance of plurigenera holds for sufficiently large $m$. On the other hand, we provide examples on which the result fails, for small values of $m$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.00817","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":"1502.00817","created_at":"2026-05-18T01:25:30.743232+00:00"},{"alias_kind":"arxiv_version","alias_value":"1502.00817v2","created_at":"2026-05-18T01:25:30.743232+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.00817","created_at":"2026-05-18T01:25:30.743232+00:00"},{"alias_kind":"pith_short_12","alias_value":"DNTSHX6OMH7K","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_16","alias_value":"DNTSHX6OMH7KZSEU","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_8","alias_value":"DNTSHX6O","created_at":"2026-05-18T12:29:17.054201+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/DNTSHX6OMH7KZSEU6ICNI54GRQ","json":"https://pith.science/pith/DNTSHX6OMH7KZSEU6ICNI54GRQ.json","graph_json":"https://pith.science/api/pith-number/DNTSHX6OMH7KZSEU6ICNI54GRQ/graph.json","events_json":"https://pith.science/api/pith-number/DNTSHX6OMH7KZSEU6ICNI54GRQ/events.json","paper":"https://pith.science/paper/DNTSHX6O"},"agent_actions":{"view_html":"https://pith.science/pith/DNTSHX6OMH7KZSEU6ICNI54GRQ","download_json":"https://pith.science/pith/DNTSHX6OMH7KZSEU6ICNI54GRQ.json","view_paper":"https://pith.science/paper/DNTSHX6O","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1502.00817&json=true","fetch_graph":"https://pith.science/api/pith-number/DNTSHX6OMH7KZSEU6ICNI54GRQ/graph.json","fetch_events":"https://pith.science/api/pith-number/DNTSHX6OMH7KZSEU6ICNI54GRQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DNTSHX6OMH7KZSEU6ICNI54GRQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DNTSHX6OMH7KZSEU6ICNI54GRQ/action/storage_attestation","attest_author":"https://pith.science/pith/DNTSHX6OMH7KZSEU6ICNI54GRQ/action/author_attestation","sign_citation":"https://pith.science/pith/DNTSHX6OMH7KZSEU6ICNI54GRQ/action/citation_signature","submit_replication":"https://pith.science/pith/DNTSHX6OMH7KZSEU6ICNI54GRQ/action/replication_record"}},"created_at":"2026-05-18T01:25:30.743232+00:00","updated_at":"2026-05-18T01:25:30.743232+00:00"}