{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VBDNZ3XL5HDXGX7YGFCES3VXAL","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":"c4972a8370531306a370d1fc624876fe2f9730e73aa90d7451115b1d77490a72","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-09-18T12:05:22Z","title_canon_sha256":"f484c72da567b576751f492485f6b866511adebd1d6ec60b662c3f873ee32314"},"schema_version":"1.0","source":{"id":"1409.5275","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.5275","created_at":"2026-05-18T02:42:07Z"},{"alias_kind":"arxiv_version","alias_value":"1409.5275v2","created_at":"2026-05-18T02:42:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5275","created_at":"2026-05-18T02:42:07Z"},{"alias_kind":"pith_short_12","alias_value":"VBDNZ3XL5HDX","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"VBDNZ3XL5HDXGX7Y","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"VBDNZ3XL","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:8e4dd387f1216629243e0b285c7ed74d79969d24f9561ad983fd11b9aa6ccdf9","target":"graph","created_at":"2026-05-18T02:42:07Z","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":"Convenient mixed functions with strongly non-degenerate Newton boundaries have Milnor fibrations, as the isolatedness of the singularity follows from the convenience. In this paper, we consider the Milnor fibration for non-convenient mixed functions. We also study geometric properties such as Thom's $a_f$ condition, the transversality of the nearby fibers and stable boundary property of the Milnor fibration and their relations.","authors_text":"Mutsuo Oka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-09-18T12:05:22Z","title":"On Milnor fibrations of mixed functions, $a_f$-condition and boundary stability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5275","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":"sha256:1d4df1ac0d439c168a873b6d0a6c070a0f8854bfcfaa8c28eccdd9c8f4d88832","target":"record","created_at":"2026-05-18T02:42:07Z","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":"c4972a8370531306a370d1fc624876fe2f9730e73aa90d7451115b1d77490a72","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-09-18T12:05:22Z","title_canon_sha256":"f484c72da567b576751f492485f6b866511adebd1d6ec60b662c3f873ee32314"},"schema_version":"1.0","source":{"id":"1409.5275","kind":"arxiv","version":2}},"canonical_sha256":"a846dceeebe9c7735ff83144496eb702f86a169e4edc7fb6e20c6379d0164fe4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a846dceeebe9c7735ff83144496eb702f86a169e4edc7fb6e20c6379d0164fe4","first_computed_at":"2026-05-18T02:42:07.409776Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:07.409776Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x+ogvw2XHK05AUwe9gvKYk8keJswX6WUIm2BeFAyMXkrXiKKOyMjSxhP6biW+xG6XbjeS/iVafqq2OFs6PzaDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:07.410182Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.5275","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d4df1ac0d439c168a873b6d0a6c070a0f8854bfcfaa8c28eccdd9c8f4d88832","sha256:8e4dd387f1216629243e0b285c7ed74d79969d24f9561ad983fd11b9aa6ccdf9"],"state_sha256":"6cccd5e6de7eb1fd3fe7b52d75e40532b6b91142d90b6424b66c6b831329db3c"}