{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:YBVKFPPMCKTT4MO7QCYNN5OOYK","short_pith_number":"pith:YBVKFPPM","schema_version":"1.0","canonical_sha256":"c06aa2bdec12a73e31df80b0d6f5cec29bb360511cf9803bbae04d1ca55a7991","source":{"kind":"arxiv","id":"1811.07735","version":2},"attestation_state":"computed","paper":{"title":"Convex foliations of degree 4 on the complex projective plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV","math.DS"],"primary_cat":"math.DG","authors_text":"David Mar\\'in, Samir Bedrouni","submitted_at":"2018-11-16T12:27:10Z","abstract_excerpt":"We show that up to automorphisms of $\\mathbb{P}^2_{\\mathbb C}$ there are $5$ homogeneous convex foliations of degree four on $\\mathbb{P}^2_{\\mathbb C}.$ Using this result, we give a partial answer to a question posed in $2013$ by D. {Mar\\'in} and J. {Pereira} about the classification of reduced convex foliations on~$\\mathbb{P}^2_{\\mathbb C}.$"},"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":"1811.07735","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-11-16T12:27:10Z","cross_cats_sorted":["math.CV","math.DS"],"title_canon_sha256":"c780a1a49e056c6bbe70a12f9279bdb3e7cd158a6375ff8019b92f1d8870578c","abstract_canon_sha256":"01582bd1669fe5e8dd65d2012917e4d011c18e083e0dbba4597f048066efc3e3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:47.274454Z","signature_b64":"sp7NfljDWquplfqgwByu+ge1CjtSmiQw7DfruXaTq9kWxCRoPStUgEc7qUTu3w9LJdcmQi/ddokvgKRrk+wvCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c06aa2bdec12a73e31df80b0d6f5cec29bb360511cf9803bbae04d1ca55a7991","last_reissued_at":"2026-05-17T23:58:47.273864Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:47.273864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Convex foliations of degree 4 on the complex projective plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV","math.DS"],"primary_cat":"math.DG","authors_text":"David Mar\\'in, Samir Bedrouni","submitted_at":"2018-11-16T12:27:10Z","abstract_excerpt":"We show that up to automorphisms of $\\mathbb{P}^2_{\\mathbb C}$ there are $5$ homogeneous convex foliations of degree four on $\\mathbb{P}^2_{\\mathbb C}.$ Using this result, we give a partial answer to a question posed in $2013$ by D. {Mar\\'in} and J. {Pereira} about the classification of reduced convex foliations on~$\\mathbb{P}^2_{\\mathbb C}.$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.07735","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":"1811.07735","created_at":"2026-05-17T23:58:47.273940+00:00"},{"alias_kind":"arxiv_version","alias_value":"1811.07735v2","created_at":"2026-05-17T23:58:47.273940+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.07735","created_at":"2026-05-17T23:58:47.273940+00:00"},{"alias_kind":"pith_short_12","alias_value":"YBVKFPPMCKTT","created_at":"2026-05-18T12:33:04.347982+00:00"},{"alias_kind":"pith_short_16","alias_value":"YBVKFPPMCKTT4MO7","created_at":"2026-05-18T12:33:04.347982+00:00"},{"alias_kind":"pith_short_8","alias_value":"YBVKFPPM","created_at":"2026-05-18T12:33:04.347982+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/YBVKFPPMCKTT4MO7QCYNN5OOYK","json":"https://pith.science/pith/YBVKFPPMCKTT4MO7QCYNN5OOYK.json","graph_json":"https://pith.science/api/pith-number/YBVKFPPMCKTT4MO7QCYNN5OOYK/graph.json","events_json":"https://pith.science/api/pith-number/YBVKFPPMCKTT4MO7QCYNN5OOYK/events.json","paper":"https://pith.science/paper/YBVKFPPM"},"agent_actions":{"view_html":"https://pith.science/pith/YBVKFPPMCKTT4MO7QCYNN5OOYK","download_json":"https://pith.science/pith/YBVKFPPMCKTT4MO7QCYNN5OOYK.json","view_paper":"https://pith.science/paper/YBVKFPPM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1811.07735&json=true","fetch_graph":"https://pith.science/api/pith-number/YBVKFPPMCKTT4MO7QCYNN5OOYK/graph.json","fetch_events":"https://pith.science/api/pith-number/YBVKFPPMCKTT4MO7QCYNN5OOYK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YBVKFPPMCKTT4MO7QCYNN5OOYK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YBVKFPPMCKTT4MO7QCYNN5OOYK/action/storage_attestation","attest_author":"https://pith.science/pith/YBVKFPPMCKTT4MO7QCYNN5OOYK/action/author_attestation","sign_citation":"https://pith.science/pith/YBVKFPPMCKTT4MO7QCYNN5OOYK/action/citation_signature","submit_replication":"https://pith.science/pith/YBVKFPPMCKTT4MO7QCYNN5OOYK/action/replication_record"}},"created_at":"2026-05-17T23:58:47.273940+00:00","updated_at":"2026-05-17T23:58:47.273940+00:00"}