{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:RBWAH2ZNSSGSLRA4AZGBBTWVTJ","short_pith_number":"pith:RBWAH2ZN","schema_version":"1.0","canonical_sha256":"886c03eb2d948d25c41c064c10ced59a5affc52927798eed714081a683d61047","source":{"kind":"arxiv","id":"2401.06711","version":2},"attestation_state":"computed","paper":{"title":"On the 10-web by conics on the quartic del Pezzo surface","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Luc Pirio","submitted_at":"2024-01-12T17:20:00Z","abstract_excerpt":"We study and compare the webs $\\boldsymbol{\\mathcal W}_{{\\rm dP}_d}$ defined by the conic fibrations on a given smooth del Pezzo surface ${\\rm dP}_d$ of degree $d$ for $d=4$ and $d=5$. In a previous paper, we proved that for any positive $d\\leq 6$, the web by conics $\\boldsymbol{\\mathcal W}_{{\\rm dP}_d}$ carries a particular abelian relation ${\\bf HLog}_d$, whose components all are weight $7-d$ antisymmetric hyperlogarithms. The web $\\boldsymbol{\\mathcal W}_{{\\rm dP}_5}$ is a geometric model of the exceptional Bol's web and the relation ${\\bf HLog}_5$ corresponds to the famous `Abel's identity"},"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":"2401.06711","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-01-12T17:20:00Z","cross_cats_sorted":[],"title_canon_sha256":"382535412c8fc09bdf1190723bd63ee2d0d56fc19959ef7cdb71f432f8950de3","abstract_canon_sha256":"13df29bf0bcc241c9ab8b736d9d7a01a0b3bdc11d111e76ac37b3c792a946d8a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:42:22.927381Z","signature_b64":"LU+PVCBrNEvFewempIe3vWJAjWFHmRqg1p9cHPVzfJufqs31FjC+O/WmKS6NgkUeFkkFKaYdsnffmyPYsUNKCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"886c03eb2d948d25c41c064c10ced59a5affc52927798eed714081a683d61047","last_reissued_at":"2026-07-05T07:42:22.926955Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:42:22.926955Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the 10-web by conics on the quartic del Pezzo surface","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Luc Pirio","submitted_at":"2024-01-12T17:20:00Z","abstract_excerpt":"We study and compare the webs $\\boldsymbol{\\mathcal W}_{{\\rm dP}_d}$ defined by the conic fibrations on a given smooth del Pezzo surface ${\\rm dP}_d$ of degree $d$ for $d=4$ and $d=5$. In a previous paper, we proved that for any positive $d\\leq 6$, the web by conics $\\boldsymbol{\\mathcal W}_{{\\rm dP}_d}$ carries a particular abelian relation ${\\bf HLog}_d$, whose components all are weight $7-d$ antisymmetric hyperlogarithms. The web $\\boldsymbol{\\mathcal W}_{{\\rm dP}_5}$ is a geometric model of the exceptional Bol's web and the relation ${\\bf HLog}_5$ corresponds to the famous `Abel's identity"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.06711","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2401.06711/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":"2401.06711","created_at":"2026-07-05T07:42:22.927009+00:00"},{"alias_kind":"arxiv_version","alias_value":"2401.06711v2","created_at":"2026-07-05T07:42:22.927009+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.06711","created_at":"2026-07-05T07:42:22.927009+00:00"},{"alias_kind":"pith_short_12","alias_value":"RBWAH2ZNSSGS","created_at":"2026-07-05T07:42:22.927009+00:00"},{"alias_kind":"pith_short_16","alias_value":"RBWAH2ZNSSGSLRA4","created_at":"2026-07-05T07:42:22.927009+00:00"},{"alias_kind":"pith_short_8","alias_value":"RBWAH2ZN","created_at":"2026-07-05T07:42:22.927009+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.12180","citing_title":"A story of webs: the webs by conics on del Pezzo quartic surfaces and Gelfand-MacPherson's web of the spinor tenfold","ref_index":23,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RBWAH2ZNSSGSLRA4AZGBBTWVTJ","json":"https://pith.science/pith/RBWAH2ZNSSGSLRA4AZGBBTWVTJ.json","graph_json":"https://pith.science/api/pith-number/RBWAH2ZNSSGSLRA4AZGBBTWVTJ/graph.json","events_json":"https://pith.science/api/pith-number/RBWAH2ZNSSGSLRA4AZGBBTWVTJ/events.json","paper":"https://pith.science/paper/RBWAH2ZN"},"agent_actions":{"view_html":"https://pith.science/pith/RBWAH2ZNSSGSLRA4AZGBBTWVTJ","download_json":"https://pith.science/pith/RBWAH2ZNSSGSLRA4AZGBBTWVTJ.json","view_paper":"https://pith.science/paper/RBWAH2ZN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2401.06711&json=true","fetch_graph":"https://pith.science/api/pith-number/RBWAH2ZNSSGSLRA4AZGBBTWVTJ/graph.json","fetch_events":"https://pith.science/api/pith-number/RBWAH2ZNSSGSLRA4AZGBBTWVTJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RBWAH2ZNSSGSLRA4AZGBBTWVTJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RBWAH2ZNSSGSLRA4AZGBBTWVTJ/action/storage_attestation","attest_author":"https://pith.science/pith/RBWAH2ZNSSGSLRA4AZGBBTWVTJ/action/author_attestation","sign_citation":"https://pith.science/pith/RBWAH2ZNSSGSLRA4AZGBBTWVTJ/action/citation_signature","submit_replication":"https://pith.science/pith/RBWAH2ZNSSGSLRA4AZGBBTWVTJ/action/replication_record"}},"created_at":"2026-07-05T07:42:22.927009+00:00","updated_at":"2026-07-05T07:42:22.927009+00:00"}