{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:3O5NRCPY7AIAINEJDZAEJMTZXY","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":"ced331b857e91c54c1ae72e1c6f77bc6182e743598d222b8ff5c5970ecae4a8d","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-10-08T16:30:49Z","title_canon_sha256":"4bb34aefe1e9b0923dbce851847285e683567222974433e98e7f1a55862fb183"},"schema_version":"1.0","source":{"id":"1810.04055","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.04055","created_at":"2026-05-18T00:02:30Z"},{"alias_kind":"arxiv_version","alias_value":"1810.04055v2","created_at":"2026-05-18T00:02:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.04055","created_at":"2026-05-18T00:02:30Z"},{"alias_kind":"pith_short_12","alias_value":"3O5NRCPY7AIA","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"3O5NRCPY7AIAINEJ","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"3O5NRCPY","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:dcb8d5935ab1b3ae64d6f2f8cd27864bba79f8173c7908b9b6d4bf12c0c8c1a3","target":"graph","created_at":"2026-05-18T00:02:30Z","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":"Hyperbolic polynomials are real multivariate polynomials with only real roots along a fixed pencil of lines. Testing whether a given polynomial is hyperbolic is a difficult task in general. We examine different ways of translating hyperbolicity into nonnegativity conditions, which can then be tested via sum-of-squares relaxations.","authors_text":"Daniel Plaumann, Papri Dey","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-10-08T16:30:49Z","title":"Testing hyperbolicity of real polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.04055","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":"sha256:07f5ef82d057deb09725e84d70053b99eb1abadf89aaac79f9b9eed87198154e","target":"record","created_at":"2026-05-18T00:02:30Z","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":"ced331b857e91c54c1ae72e1c6f77bc6182e743598d222b8ff5c5970ecae4a8d","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-10-08T16:30:49Z","title_canon_sha256":"4bb34aefe1e9b0923dbce851847285e683567222974433e98e7f1a55862fb183"},"schema_version":"1.0","source":{"id":"1810.04055","kind":"arxiv","version":2}},"canonical_sha256":"dbbad889f8f8100434891e4044b279be2fa24c232a962e2d1011458e2606e4fd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dbbad889f8f8100434891e4044b279be2fa24c232a962e2d1011458e2606e4fd","first_computed_at":"2026-05-18T00:02:30.347624Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:30.347624Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0IIi4lx1VedbaNLUYWZxieQ5IISS9gCOazk7iK4RRrRvUncjvr3DsTLx2HBnPtK17NAdDgc/rrqnAJni+G+SAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:30.348290Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.04055","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:07f5ef82d057deb09725e84d70053b99eb1abadf89aaac79f9b9eed87198154e","sha256:dcb8d5935ab1b3ae64d6f2f8cd27864bba79f8173c7908b9b6d4bf12c0c8c1a3"],"state_sha256":"cc082fdb27adff2696870fec7831a27cdfa4bd7c9f45f007fb4dedbe5432d1d8"}