{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:HQNJCLQP5VQHSSIBKTNMNOQ6RH","short_pith_number":"pith:HQNJCLQP","schema_version":"1.0","canonical_sha256":"3c1a912e0fed6079490154dac6ba1e89e8669793c130955acd46dd6f2eab6e5c","source":{"kind":"arxiv","id":"1411.1661","version":2},"attestation_state":"computed","paper":{"title":"Definite Determinantal Representations of Ternary Hyperbolic Forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"math.AG","authors_text":"Christoph Hanselka","submitted_at":"2014-11-06T16:57:34Z","abstract_excerpt":"We give a new and completely algebraic proof of the Helton-Vinnikov Theorem stating that every hyperbolic polynomial in three variables admits a definite linear determinantal representation."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1411.1661","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-11-06T16:57:34Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"97e7a1df863d26c97d9dc40bcbd12cff815adc627779af4ed3f32a6b14c795c3","abstract_canon_sha256":"ff3debd7f25fae77675f2a99267424a80d2147fc045f89e290c84267da0a75a6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:44:11.689596Z","signature_b64":"F139qH0QgqBdm60oegfRS1R6PHA6gEFEkqYkrDfzeLxFM/3ATb+CzEyIcB3IarF3cCuqiOMrZ9hpVUoN5F1wCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c1a912e0fed6079490154dac6ba1e89e8669793c130955acd46dd6f2eab6e5c","last_reissued_at":"2026-05-18T01:44:11.688795Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:44:11.688795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Definite Determinantal Representations of Ternary Hyperbolic Forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"math.AG","authors_text":"Christoph Hanselka","submitted_at":"2014-11-06T16:57:34Z","abstract_excerpt":"We give a new and completely algebraic proof of the Helton-Vinnikov Theorem stating that every hyperbolic polynomial in three variables admits a definite linear determinantal representation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.1661","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1411.1661","created_at":"2026-05-18T01:44:11.688911+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.1661v2","created_at":"2026-05-18T01:44:11.688911+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.1661","created_at":"2026-05-18T01:44:11.688911+00:00"},{"alias_kind":"pith_short_12","alias_value":"HQNJCLQP5VQH","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_16","alias_value":"HQNJCLQP5VQHSSIB","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_8","alias_value":"HQNJCLQP","created_at":"2026-05-18T12:28:30.664211+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HQNJCLQP5VQHSSIBKTNMNOQ6RH","json":"https://pith.science/pith/HQNJCLQP5VQHSSIBKTNMNOQ6RH.json","graph_json":"https://pith.science/api/pith-number/HQNJCLQP5VQHSSIBKTNMNOQ6RH/graph.json","events_json":"https://pith.science/api/pith-number/HQNJCLQP5VQHSSIBKTNMNOQ6RH/events.json","paper":"https://pith.science/paper/HQNJCLQP"},"agent_actions":{"view_html":"https://pith.science/pith/HQNJCLQP5VQHSSIBKTNMNOQ6RH","download_json":"https://pith.science/pith/HQNJCLQP5VQHSSIBKTNMNOQ6RH.json","view_paper":"https://pith.science/paper/HQNJCLQP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.1661&json=true","fetch_graph":"https://pith.science/api/pith-number/HQNJCLQP5VQHSSIBKTNMNOQ6RH/graph.json","fetch_events":"https://pith.science/api/pith-number/HQNJCLQP5VQHSSIBKTNMNOQ6RH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HQNJCLQP5VQHSSIBKTNMNOQ6RH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HQNJCLQP5VQHSSIBKTNMNOQ6RH/action/storage_attestation","attest_author":"https://pith.science/pith/HQNJCLQP5VQHSSIBKTNMNOQ6RH/action/author_attestation","sign_citation":"https://pith.science/pith/HQNJCLQP5VQHSSIBKTNMNOQ6RH/action/citation_signature","submit_replication":"https://pith.science/pith/HQNJCLQP5VQHSSIBKTNMNOQ6RH/action/replication_record"}},"created_at":"2026-05-18T01:44:11.688911+00:00","updated_at":"2026-05-18T01:44:11.688911+00:00"}