{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:Y5K3FZEWYQAXGE7D57T7FTKNIT","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":"c8b4830e4d3612d742b1b49655fc2d037584cdf7f679503dc6992884c9c26a4b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2018-04-02T07:59:14Z","title_canon_sha256":"9be0aef6545cbb4d61c1f942400bb36692247d06ea6bc459dc44d1b349e455cb"},"schema_version":"1.0","source":{"id":"1804.00426","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.00426","created_at":"2026-05-17T23:58:19Z"},{"alias_kind":"arxiv_version","alias_value":"1804.00426v2","created_at":"2026-05-17T23:58:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.00426","created_at":"2026-05-17T23:58:19Z"},{"alias_kind":"pith_short_12","alias_value":"Y5K3FZEWYQAX","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"Y5K3FZEWYQAXGE7D","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"Y5K3FZEW","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:72b3c8d790fd53d06cce89871e005e92643901fbaf6b65138622a884cd1f95e8","target":"graph","created_at":"2026-05-17T23:58:19Z","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":"After reviewing the main properties of the Brieskorn lattice in the framework of tame regular functions on smooth affine complex varieties, we prove a conjecture of Katzarkov-Kontsevich-Pantev in the toric case.","authors_text":"Claude Sabbah","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2018-04-02T07:59:14Z","title":"Some properties and applications of Brieskorn lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.00426","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":"sha256:7e4625496559ca30d40e224514b7d103f2f5644dad01caee7082010e4f5873c5","target":"record","created_at":"2026-05-17T23:58:19Z","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":"c8b4830e4d3612d742b1b49655fc2d037584cdf7f679503dc6992884c9c26a4b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2018-04-02T07:59:14Z","title_canon_sha256":"9be0aef6545cbb4d61c1f942400bb36692247d06ea6bc459dc44d1b349e455cb"},"schema_version":"1.0","source":{"id":"1804.00426","kind":"arxiv","version":2}},"canonical_sha256":"c755b2e496c4017313e3efe7f2cd4d44dea271f2179882d9993be8db36c5a54a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c755b2e496c4017313e3efe7f2cd4d44dea271f2179882d9993be8db36c5a54a","first_computed_at":"2026-05-17T23:58:19.366180Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:19.366180Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cH5UvWiD8LyIsQMCCojbTXdEBbMWdBnc92I2vYr1RLaPIdDt0SgCz6okndvuSLcERrvJeABBmfLvVHplaXY7DA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:19.367060Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.00426","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e4625496559ca30d40e224514b7d103f2f5644dad01caee7082010e4f5873c5","sha256:72b3c8d790fd53d06cce89871e005e92643901fbaf6b65138622a884cd1f95e8"],"state_sha256":"6cc856d302729b0332ee1673faeeeed14b52afcfcb01c1d9c0efc2582b325af2"}