{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:5BUKI6GXM2LNEVIPBE2ZJQDK3S","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":"f053c9884c2ae4a533f7d8d1a21a1e3cf4906e1ce1d2c3cd07ddd78af1deb8b4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-06-04T07:54:34Z","title_canon_sha256":"f7b83aadccae18b48b4a3f2aa2dc5f32b50e8a2027e1ccf16d8519930064f18e"},"schema_version":"1.0","source":{"id":"1806.00996","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.00996","created_at":"2026-05-18T00:14:17Z"},{"alias_kind":"arxiv_version","alias_value":"1806.00996v1","created_at":"2026-05-18T00:14:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.00996","created_at":"2026-05-18T00:14:17Z"},{"alias_kind":"pith_short_12","alias_value":"5BUKI6GXM2LN","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5BUKI6GXM2LNEVIP","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5BUKI6GX","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:b9bd79e6739b532270d28f1aed6d66fc8452691a61c5659d953338c97de98b66","target":"graph","created_at":"2026-05-18T00:14:17Z","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"},"paper":{"abstract_excerpt":"Isolated hypersurface singularities come equipped with a Milnor lattice, a ${\\mathbb Z}$-lattice of finite rank, and a set of $distinguished$ ${\\mathbb Z}$-bases of this lattice. Usually these bases are constructed from $one$ morsification and $all\\ possible$ choices of distinguished systems of paths. But what does one obtain if one considers $all\\ possible$ morsifications and $one$ fixed distinguished system of paths? Looijenga asked this question 1974 for the simple singularities. He and Deligne found that one obtains a bijection between Stokes regions in a universal unfolding and the set of","authors_text":"C\\'eline Roucairol, Claus Hertling","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-06-04T07:54:34Z","title":"Distinguished bases and Stokes regions for the simple and the simple elliptic singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.00996","kind":"arxiv","version":1},"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":"sha256:93a1ee10afd6f99bf46b70047f4ece0be15254dad6a68dd86ebdbffabcc25f84","target":"record","created_at":"2026-05-18T00:14:17Z","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":"f053c9884c2ae4a533f7d8d1a21a1e3cf4906e1ce1d2c3cd07ddd78af1deb8b4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-06-04T07:54:34Z","title_canon_sha256":"f7b83aadccae18b48b4a3f2aa2dc5f32b50e8a2027e1ccf16d8519930064f18e"},"schema_version":"1.0","source":{"id":"1806.00996","kind":"arxiv","version":1}},"canonical_sha256":"e868a478d76696d2550f093594c06adcbac1809d3842038fec2699533e60ef11","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e868a478d76696d2550f093594c06adcbac1809d3842038fec2699533e60ef11","first_computed_at":"2026-05-18T00:14:17.784718Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:17.784718Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vuPM5Td2BhEl6SYWPkTtEDQk2KCPGVwjMBtAJ3PuqIoLDS/1befJhUe1OtNJ8xxxQ3sBpH8F86V8absZIo9oDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:17.785239Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.00996","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:93a1ee10afd6f99bf46b70047f4ece0be15254dad6a68dd86ebdbffabcc25f84","sha256:b9bd79e6739b532270d28f1aed6d66fc8452691a61c5659d953338c97de98b66"],"state_sha256":"95b96143bafd66393a0a36e8ed728f0a04d271b0faf72ab4e70551c8aaa0537b"}