{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:F2TRJHY46FM3HINWS2GAY2N2EK","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":"ee227e0d66c40df7827c99157b448217d5ea1c07727c77d65427910f60aa0700","cross_cats_sorted":["math.AG","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2016-06-21T13:53:52Z","title_canon_sha256":"861cd401500d14fb8a3935f8f485e5971a7ac00d111e1ee93b386c7f3077038d"},"schema_version":"1.0","source":{"id":"1606.06572","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.06572","created_at":"2026-05-18T01:12:09Z"},{"alias_kind":"arxiv_version","alias_value":"1606.06572v1","created_at":"2026-05-18T01:12:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.06572","created_at":"2026-05-18T01:12:09Z"},{"alias_kind":"pith_short_12","alias_value":"F2TRJHY46FM3","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"F2TRJHY46FM3HINW","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"F2TRJHY4","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:be8036182e907d18849b691eecd0ec602313c22dd016436c0700d3127c1a9a17","target":"graph","created_at":"2026-05-18T01:12:09Z","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 prove that the Davenport-Mahler bound holds for arbitrary graphs with vertices on the set of roots of a given univariate polynomial with complex coefficients.","authors_text":"Daniel Perrucci, Paula Escorcielo","cross_cats":["math.AG","math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2016-06-21T13:53:52Z","title":"On the Davenport-Mahler bound"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.06572","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":"sha256:47204bb981496f90a9a565f8bed47d8a6351e283b992eae944e02cb1c6fd85ec","target":"record","created_at":"2026-05-18T01:12:09Z","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":"ee227e0d66c40df7827c99157b448217d5ea1c07727c77d65427910f60aa0700","cross_cats_sorted":["math.AG","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2016-06-21T13:53:52Z","title_canon_sha256":"861cd401500d14fb8a3935f8f485e5971a7ac00d111e1ee93b386c7f3077038d"},"schema_version":"1.0","source":{"id":"1606.06572","kind":"arxiv","version":1}},"canonical_sha256":"2ea7149f1cf159b3a1b6968c0c69ba22b1bd65276979bcbd8bffeceefdebb065","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ea7149f1cf159b3a1b6968c0c69ba22b1bd65276979bcbd8bffeceefdebb065","first_computed_at":"2026-05-18T01:12:09.214835Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:09.214835Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NJzcu3AClFpBu0wRBzJiWyMLkC2EcXceF5xkZOZE3EZt+ORBHyn1WudnjQ39Hf94eGX/u2INU68m9jv6jWxqCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:09.215476Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.06572","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:47204bb981496f90a9a565f8bed47d8a6351e283b992eae944e02cb1c6fd85ec","sha256:be8036182e907d18849b691eecd0ec602313c22dd016436c0700d3127c1a9a17"],"state_sha256":"f0d0aead694ead62bf4be6d6d7dd74adfe294b39abdc5af044af1b8637d5697c"}