{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:QT5KO25J6U3ZXD7AM6FDRDOT5B","short_pith_number":"pith:QT5KO25J","schema_version":"1.0","canonical_sha256":"84faa76ba9f5379b8fe0678a388dd3e8721ba1bc267d5391a2a3733cbdca804b","source":{"kind":"arxiv","id":"1609.09305","version":2},"attestation_state":"computed","paper":{"title":"Logarithmic vector fields and the Severi strata in the discriminant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"David Mond, Duco van Straten, Paul Cadman","submitted_at":"2016-09-29T11:54:26Z","abstract_excerpt":"The discriminant, $D$, in the base of a miniversal deformation of an irreducible plane curve singularity, is partitioned according to the genus of the (singular) fibre, or, equivalently, by the sum of the delta invariants of the singular points of the fibre. The members of the partition are known as the {\\it Severi strata}. The smallest is the $\\delta$-constant stratum, $D(\\delta)$, where the genus of the fibre is $0$. It is well known, by work of Givental' and Varchenko, to be Lagrangian with respect to the symplectic form $\\Omega$ obtained by pulling back the intersection form on the cohomol"},"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":"1609.09305","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-09-29T11:54:26Z","cross_cats_sorted":[],"title_canon_sha256":"40b7293c7e84418d2a1634eb905b761deb31d183781754f26a0dcc045d203d20","abstract_canon_sha256":"eddded4d3b38db66de5c237e607005665f882ee3e4cd9f363f1e49f9f783384c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:30.794514Z","signature_b64":"fnhjuKNjCCL4zhnsLQNPuwCxGmxfuj2trtlR+kUYK+s3urmH8KJWlsy64yRSmamC8dquMybNcG458NRE3oWnAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84faa76ba9f5379b8fe0678a388dd3e8721ba1bc267d5391a2a3733cbdca804b","last_reissued_at":"2026-05-18T01:01:30.794016Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:30.794016Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Logarithmic vector fields and the Severi strata in the discriminant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"David Mond, Duco van Straten, Paul Cadman","submitted_at":"2016-09-29T11:54:26Z","abstract_excerpt":"The discriminant, $D$, in the base of a miniversal deformation of an irreducible plane curve singularity, is partitioned according to the genus of the (singular) fibre, or, equivalently, by the sum of the delta invariants of the singular points of the fibre. The members of the partition are known as the {\\it Severi strata}. The smallest is the $\\delta$-constant stratum, $D(\\delta)$, where the genus of the fibre is $0$. It is well known, by work of Givental' and Varchenko, to be Lagrangian with respect to the symplectic form $\\Omega$ obtained by pulling back the intersection form on the cohomol"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.09305","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":"1609.09305","created_at":"2026-05-18T01:01:30.794085+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.09305v2","created_at":"2026-05-18T01:01:30.794085+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.09305","created_at":"2026-05-18T01:01:30.794085+00:00"},{"alias_kind":"pith_short_12","alias_value":"QT5KO25J6U3Z","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_16","alias_value":"QT5KO25J6U3ZXD7A","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_8","alias_value":"QT5KO25J","created_at":"2026-05-18T12:30:41.710351+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/QT5KO25J6U3ZXD7AM6FDRDOT5B","json":"https://pith.science/pith/QT5KO25J6U3ZXD7AM6FDRDOT5B.json","graph_json":"https://pith.science/api/pith-number/QT5KO25J6U3ZXD7AM6FDRDOT5B/graph.json","events_json":"https://pith.science/api/pith-number/QT5KO25J6U3ZXD7AM6FDRDOT5B/events.json","paper":"https://pith.science/paper/QT5KO25J"},"agent_actions":{"view_html":"https://pith.science/pith/QT5KO25J6U3ZXD7AM6FDRDOT5B","download_json":"https://pith.science/pith/QT5KO25J6U3ZXD7AM6FDRDOT5B.json","view_paper":"https://pith.science/paper/QT5KO25J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.09305&json=true","fetch_graph":"https://pith.science/api/pith-number/QT5KO25J6U3ZXD7AM6FDRDOT5B/graph.json","fetch_events":"https://pith.science/api/pith-number/QT5KO25J6U3ZXD7AM6FDRDOT5B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QT5KO25J6U3ZXD7AM6FDRDOT5B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QT5KO25J6U3ZXD7AM6FDRDOT5B/action/storage_attestation","attest_author":"https://pith.science/pith/QT5KO25J6U3ZXD7AM6FDRDOT5B/action/author_attestation","sign_citation":"https://pith.science/pith/QT5KO25J6U3ZXD7AM6FDRDOT5B/action/citation_signature","submit_replication":"https://pith.science/pith/QT5KO25J6U3ZXD7AM6FDRDOT5B/action/replication_record"}},"created_at":"2026-05-18T01:01:30.794085+00:00","updated_at":"2026-05-18T01:01:30.794085+00:00"}