{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:O6NOU5MPR3UIT244OKYRP5TUAL","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":"d24e317829723f22e1d3c91aaa5a98e6696a84883d341eafec4a063b557879f1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-03-21T17:46:57Z","title_canon_sha256":"cd5b4140230d8ab07e7e9f80c31b3e24baf9eab0b50e66322e9d2620481ed5f7"},"schema_version":"1.0","source":{"id":"1903.09134","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.09134","created_at":"2026-05-17T23:50:43Z"},{"alias_kind":"arxiv_version","alias_value":"1903.09134v1","created_at":"2026-05-17T23:50:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.09134","created_at":"2026-05-17T23:50:43Z"},{"alias_kind":"pith_short_12","alias_value":"O6NOU5MPR3UI","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"O6NOU5MPR3UIT244","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"O6NOU5MP","created_at":"2026-05-18T12:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:4d06c2a1fc5042ff6da5434815c312eef03e39a95fb06ea43c1149a9c20653a7","target":"graph","created_at":"2026-05-17T23:50:43Z","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":"Let (K,v) be a henselian valued field. In this paper, we use Okutsu sequences for monic, irreducible polynomials in K[x], and their relationship with MacLane chains of inductive valuations on K[x], to obtain some results on the computation of invariants of algebraic elements over K.","authors_text":"Nath\\'alia Moraes de Oliveira","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-03-21T17:46:57Z","title":"Invariants of algebraic elements over henselian fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.09134","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:d351b25919c8d7fcedcfb8f02f0144f82bacdf0798358ba0815969ca66a898cd","target":"record","created_at":"2026-05-17T23:50:43Z","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":"d24e317829723f22e1d3c91aaa5a98e6696a84883d341eafec4a063b557879f1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-03-21T17:46:57Z","title_canon_sha256":"cd5b4140230d8ab07e7e9f80c31b3e24baf9eab0b50e66322e9d2620481ed5f7"},"schema_version":"1.0","source":{"id":"1903.09134","kind":"arxiv","version":1}},"canonical_sha256":"779aea758f8ee889eb9c72b117f67402c1becc480c30b481b56f8ef919c133ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"779aea758f8ee889eb9c72b117f67402c1becc480c30b481b56f8ef919c133ae","first_computed_at":"2026-05-17T23:50:43.175253Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:43.175253Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4Do1sDH5kKl4oQxVKs/hiMcmjXCMgaN3Ac9WUM0EPpv9tYhk0Sgy9TprS1bMr11YOMwdv4MkNmjIdh0Nrk91Ag==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:43.175615Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.09134","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d351b25919c8d7fcedcfb8f02f0144f82bacdf0798358ba0815969ca66a898cd","sha256:4d06c2a1fc5042ff6da5434815c312eef03e39a95fb06ea43c1149a9c20653a7"],"state_sha256":"773699720f065402e5683675f9fbbbe1d9ca104b5f8fcdb2a036391ca4eda66d"}