{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:BUAXRKLA7JAXQ2ATVYVC53B44D","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"2f3747a4a013b52ebf6770ad53bb072bc1fd621ab08791298ce3a44e5160e218","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2025-04-01T14:43:59Z","title_canon_sha256":"8c9456d674e3657fc180345e6edc6be6efc09eecaca807854f67d59997a69447"},"schema_version":"1.0","source":{"id":"2504.00854","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.00854","created_at":"2026-06-02T03:05:03Z"},{"alias_kind":"arxiv_version","alias_value":"2504.00854v2","created_at":"2026-06-02T03:05:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.00854","created_at":"2026-06-02T03:05:03Z"},{"alias_kind":"pith_short_12","alias_value":"BUAXRKLA7JAX","created_at":"2026-06-02T03:05:03Z"},{"alias_kind":"pith_short_16","alias_value":"BUAXRKLA7JAXQ2AT","created_at":"2026-06-02T03:05:03Z"},{"alias_kind":"pith_short_8","alias_value":"BUAXRKLA","created_at":"2026-06-02T03:05:03Z"}],"graph_snapshots":[{"event_id":"sha256:1ef8eaa473cef87e93d141aa13fd9025b599f6790a07230b0e3dd7f67157da5a","target":"graph","created_at":"2026-06-02T03:05:03Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2504.00854/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For curves singularities the dimension of smoothing components in the deformation space is an invariant of the singularity, but in general the deformation space has components of different dimensions.\n  We are interested in the question of what the generic singularities are above these components. To this end we revisit the known examples of non-smoothable singularities and study their deformations.\n  There are two general methods available to show that a curve is not smoothable. In the first method one exhibits a family of singularities of a certain type and then uses a dimension count to pro","authors_text":"Jan Stevens","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2025-04-01T14:43:59Z","title":"Non-smoothable curve singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.00854","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:4d13460aa4e8736bf4dbb8a86623f59ebce28a43140794d164247a07fa64da11","target":"record","created_at":"2026-06-02T03:05:03Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"2f3747a4a013b52ebf6770ad53bb072bc1fd621ab08791298ce3a44e5160e218","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2025-04-01T14:43:59Z","title_canon_sha256":"8c9456d674e3657fc180345e6edc6be6efc09eecaca807854f67d59997a69447"},"schema_version":"1.0","source":{"id":"2504.00854","kind":"arxiv","version":2}},"canonical_sha256":"0d0178a960fa41786813ae2a2eec3ce0f9ffb40fdd2daa1c605ee7f075ed7d39","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d0178a960fa41786813ae2a2eec3ce0f9ffb40fdd2daa1c605ee7f075ed7d39","first_computed_at":"2026-06-02T03:05:03.429097Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-02T03:05:03.429097Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sbyJrZaBfBnDfvrJyruap0fmYEEYjWxBk0EQcPL0BJj6LH05RNS1gmIOjayIesof77grqpmL4ZPUGI/jU//CDg==","signature_status":"signed_v1","signed_at":"2026-06-02T03:05:03.429590Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.00854","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d13460aa4e8736bf4dbb8a86623f59ebce28a43140794d164247a07fa64da11","sha256:1ef8eaa473cef87e93d141aa13fd9025b599f6790a07230b0e3dd7f67157da5a"],"state_sha256":"5a1afdf20bded6dfc0e95c147aa06eeaa81200f7d5f669de89c3a77077264fb8"}