{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:HBBNRX22ZB2ACQJYYUDGTXT4ZT","short_pith_number":"pith:HBBNRX22","schema_version":"1.0","canonical_sha256":"3842d8df5ac874014138c50669de7cccd49a17ef770f1936fdc0efd6542e6786","source":{"kind":"arxiv","id":"1505.01079","version":4},"attestation_state":"computed","paper":{"title":"Deforming spaces of m-jets of hypersurfaces singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Maximiliano Leyton-\\'Alvarez","submitted_at":"2015-05-05T16:53:10Z","abstract_excerpt":"Let $\\mathbb{K}$ be an algebraically closed field of characteristic zero, and $V$ a hypersurface defined by an irreducible polynomial $f$ with coefficients in $\\mathbb{K}$ .\n  In this article we prove that an Embedded Deformation of $V$ which admits a Simultaneous Embedded Resolution induces, under certain mild conditions, a deformation of the reduced scheme associated to the space of $m$-jets $V_m$, $m\\geq 0$. An example of an Embedded Deformation of $V$ which admits a Simultaneous Embedded Resolution is a $\\Gamma(f)$-deformation of $V$, where $V$ has at most one isolated singularity, and $f$"},"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":"1505.01079","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-05-05T16:53:10Z","cross_cats_sorted":[],"title_canon_sha256":"5e804ad5876fe072c68a3156b415decbe1570aa5445f490a663da41f74b530a1","abstract_canon_sha256":"2ba52b0b5c5514947d17510e5fe9fc62f6c6544880f46e6aef93ff7f6aceb3e5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:12:35.897966Z","signature_b64":"zvAiZN4hozpP10wQDvMYGooqm2eM2xYQCxDhL4GK46Fu49pO7JbFylAMGiFN/KgLBu+afzBVbufg+qfQsg+kAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3842d8df5ac874014138c50669de7cccd49a17ef770f1936fdc0efd6542e6786","last_reissued_at":"2026-05-18T00:12:35.897342Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:12:35.897342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Deforming spaces of m-jets of hypersurfaces singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Maximiliano Leyton-\\'Alvarez","submitted_at":"2015-05-05T16:53:10Z","abstract_excerpt":"Let $\\mathbb{K}$ be an algebraically closed field of characteristic zero, and $V$ a hypersurface defined by an irreducible polynomial $f$ with coefficients in $\\mathbb{K}$ .\n  In this article we prove that an Embedded Deformation of $V$ which admits a Simultaneous Embedded Resolution induces, under certain mild conditions, a deformation of the reduced scheme associated to the space of $m$-jets $V_m$, $m\\geq 0$. An example of an Embedded Deformation of $V$ which admits a Simultaneous Embedded Resolution is a $\\Gamma(f)$-deformation of $V$, where $V$ has at most one isolated singularity, and $f$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.01079","kind":"arxiv","version":4},"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":"1505.01079","created_at":"2026-05-18T00:12:35.897444+00:00"},{"alias_kind":"arxiv_version","alias_value":"1505.01079v4","created_at":"2026-05-18T00:12:35.897444+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.01079","created_at":"2026-05-18T00:12:35.897444+00:00"},{"alias_kind":"pith_short_12","alias_value":"HBBNRX22ZB2A","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_16","alias_value":"HBBNRX22ZB2ACQJY","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_8","alias_value":"HBBNRX22","created_at":"2026-05-18T12:29:22.688609+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/HBBNRX22ZB2ACQJYYUDGTXT4ZT","json":"https://pith.science/pith/HBBNRX22ZB2ACQJYYUDGTXT4ZT.json","graph_json":"https://pith.science/api/pith-number/HBBNRX22ZB2ACQJYYUDGTXT4ZT/graph.json","events_json":"https://pith.science/api/pith-number/HBBNRX22ZB2ACQJYYUDGTXT4ZT/events.json","paper":"https://pith.science/paper/HBBNRX22"},"agent_actions":{"view_html":"https://pith.science/pith/HBBNRX22ZB2ACQJYYUDGTXT4ZT","download_json":"https://pith.science/pith/HBBNRX22ZB2ACQJYYUDGTXT4ZT.json","view_paper":"https://pith.science/paper/HBBNRX22","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1505.01079&json=true","fetch_graph":"https://pith.science/api/pith-number/HBBNRX22ZB2ACQJYYUDGTXT4ZT/graph.json","fetch_events":"https://pith.science/api/pith-number/HBBNRX22ZB2ACQJYYUDGTXT4ZT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HBBNRX22ZB2ACQJYYUDGTXT4ZT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HBBNRX22ZB2ACQJYYUDGTXT4ZT/action/storage_attestation","attest_author":"https://pith.science/pith/HBBNRX22ZB2ACQJYYUDGTXT4ZT/action/author_attestation","sign_citation":"https://pith.science/pith/HBBNRX22ZB2ACQJYYUDGTXT4ZT/action/citation_signature","submit_replication":"https://pith.science/pith/HBBNRX22ZB2ACQJYYUDGTXT4ZT/action/replication_record"}},"created_at":"2026-05-18T00:12:35.897444+00:00","updated_at":"2026-05-18T00:12:35.897444+00:00"}