{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LUMYJVT7OO7XRN2ZNOZ67RPE2J","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":"bbde7513a26fcd401b391a3c9d903108a50d2cede8246763bd4726be2399b75b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-24T01:12:05Z","title_canon_sha256":"686ad68f9674cddc9c336e02e2b056f9e67cf58e7f5528820f7fad515a9171ce"},"schema_version":"1.0","source":{"id":"1611.08045","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.08045","created_at":"2026-05-18T00:56:44Z"},{"alias_kind":"arxiv_version","alias_value":"1611.08045v1","created_at":"2026-05-18T00:56:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.08045","created_at":"2026-05-18T00:56:44Z"},{"alias_kind":"pith_short_12","alias_value":"LUMYJVT7OO7X","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LUMYJVT7OO7XRN2Z","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LUMYJVT7","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:354b0407cd78e5969132f880bd70c1b04ace71bd3d98c678c64400b9f3a0416e","target":"graph","created_at":"2026-05-18T00:56:44Z","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":"We determine the Newton trees of the rational polynomials of simple type, thus filling a gap in the proof of the classification of these polynomials given by Neumann and Norbury.","authors_text":"Daniel Daigle, Pierrette Cassou-Nogu\\`es","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-24T01:12:05Z","title":"Rational polynomials of simple type: a combinatorial proof"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.08045","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":"sha256:56c2bc9d02337b81e43a41b1e34894046300c26aa56420b757a03b9d6106a09b","target":"record","created_at":"2026-05-18T00:56:44Z","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":"bbde7513a26fcd401b391a3c9d903108a50d2cede8246763bd4726be2399b75b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-24T01:12:05Z","title_canon_sha256":"686ad68f9674cddc9c336e02e2b056f9e67cf58e7f5528820f7fad515a9171ce"},"schema_version":"1.0","source":{"id":"1611.08045","kind":"arxiv","version":1}},"canonical_sha256":"5d1984d67f73bf78b7596bb3efc5e4d247434ed2471eb4eea660b55fbd4398e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d1984d67f73bf78b7596bb3efc5e4d247434ed2471eb4eea660b55fbd4398e5","first_computed_at":"2026-05-18T00:56:44.573004Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:44.573004Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eenalB/k8TkQT3sX3pRRqpZ8pZOlfWstGZVPCwCnOfgvNhr3o/26JVrEwnUbYG8BlJQbmYuVtVrXFPsMi5/bDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:44.573701Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.08045","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:56c2bc9d02337b81e43a41b1e34894046300c26aa56420b757a03b9d6106a09b","sha256:354b0407cd78e5969132f880bd70c1b04ace71bd3d98c678c64400b9f3a0416e"],"state_sha256":"bb5f6638f6e7d1c71c7288caf68b73d08c482274e29de90a72b3f5abbdcbf2e4"}