{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:RC3NQEG3DMOVNWY62RMMEGQKBV","short_pith_number":"pith:RC3NQEG3","schema_version":"1.0","canonical_sha256":"88b6d810db1b1d56db1ed458c21a0a0d7b0ae362ef9a3ac59682854d4316cb67","source":{"kind":"arxiv","id":"1705.11013","version":1},"attestation_state":"computed","paper":{"title":"Discriminant of the ordinary transversal singularity type. The local aspects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC"],"primary_cat":"math.AG","authors_text":"Andr\\'as N\\'emethi, Dmitry Kerner","submitted_at":"2017-05-31T10:08:35Z","abstract_excerpt":"Consider a space X with the singular locus, Z=Sing(X), of positive dimension. Suppose both Z and X are locally complete intersections. The transversal type of X along Z is generically constant but at some points of Z it degenerates. We introduce (under certain conditions) the discriminant of the transversal type, a subscheme of Z, that reflects these degenerations whenever the generic transversal type is `ordinary'.\n  The scheme structure of this discriminant is imposed by various compatibility properties and is often non-reduced. We establish the basic properties of this discriminant: it is a"},"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":"1705.11013","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-31T10:08:35Z","cross_cats_sorted":["math.AC"],"title_canon_sha256":"ed0f74e0189c550e6f8dc016f3a4f378d47052fdea5a021629050f5d9e2efbc0","abstract_canon_sha256":"70a8cfb5c63cb7637a2ee485d7706478f78ab0d602328d35ce78fdbc7cbea5e1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:19.531672Z","signature_b64":"5e2+K+VAcxv30Zlhg+nFjFENeDOrQ5O0D4bg7vk0I0x/+3zP7KztVXRiM1yOdgMJACDu8Ebg7GIXHTT9thAHDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"88b6d810db1b1d56db1ed458c21a0a0d7b0ae362ef9a3ac59682854d4316cb67","last_reissued_at":"2026-05-18T00:43:19.530909Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:19.530909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Discriminant of the ordinary transversal singularity type. The local aspects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC"],"primary_cat":"math.AG","authors_text":"Andr\\'as N\\'emethi, Dmitry Kerner","submitted_at":"2017-05-31T10:08:35Z","abstract_excerpt":"Consider a space X with the singular locus, Z=Sing(X), of positive dimension. Suppose both Z and X are locally complete intersections. The transversal type of X along Z is generically constant but at some points of Z it degenerates. We introduce (under certain conditions) the discriminant of the transversal type, a subscheme of Z, that reflects these degenerations whenever the generic transversal type is `ordinary'.\n  The scheme structure of this discriminant is imposed by various compatibility properties and is often non-reduced. We establish the basic properties of this discriminant: it is a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.11013","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":"1705.11013","created_at":"2026-05-18T00:43:19.531049+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.11013v1","created_at":"2026-05-18T00:43:19.531049+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.11013","created_at":"2026-05-18T00:43:19.531049+00:00"},{"alias_kind":"pith_short_12","alias_value":"RC3NQEG3DMOV","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_16","alias_value":"RC3NQEG3DMOVNWY6","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_8","alias_value":"RC3NQEG3","created_at":"2026-05-18T12:31:39.905425+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/RC3NQEG3DMOVNWY62RMMEGQKBV","json":"https://pith.science/pith/RC3NQEG3DMOVNWY62RMMEGQKBV.json","graph_json":"https://pith.science/api/pith-number/RC3NQEG3DMOVNWY62RMMEGQKBV/graph.json","events_json":"https://pith.science/api/pith-number/RC3NQEG3DMOVNWY62RMMEGQKBV/events.json","paper":"https://pith.science/paper/RC3NQEG3"},"agent_actions":{"view_html":"https://pith.science/pith/RC3NQEG3DMOVNWY62RMMEGQKBV","download_json":"https://pith.science/pith/RC3NQEG3DMOVNWY62RMMEGQKBV.json","view_paper":"https://pith.science/paper/RC3NQEG3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.11013&json=true","fetch_graph":"https://pith.science/api/pith-number/RC3NQEG3DMOVNWY62RMMEGQKBV/graph.json","fetch_events":"https://pith.science/api/pith-number/RC3NQEG3DMOVNWY62RMMEGQKBV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RC3NQEG3DMOVNWY62RMMEGQKBV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RC3NQEG3DMOVNWY62RMMEGQKBV/action/storage_attestation","attest_author":"https://pith.science/pith/RC3NQEG3DMOVNWY62RMMEGQKBV/action/author_attestation","sign_citation":"https://pith.science/pith/RC3NQEG3DMOVNWY62RMMEGQKBV/action/citation_signature","submit_replication":"https://pith.science/pith/RC3NQEG3DMOVNWY62RMMEGQKBV/action/replication_record"}},"created_at":"2026-05-18T00:43:19.531049+00:00","updated_at":"2026-05-18T00:43:19.531049+00:00"}