{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:WPLDYUW7EOLCMIBJ5FYDGVN6UA","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":"c79023aaad6afc119b0bfc291935b81ed920b6fda2a4d7570dec327da9f6b397","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-05-24T04:06:20Z","title_canon_sha256":"0209813c2e477230427a20365ced88152b4fe4d9e3532d20855013863d39ec56"},"schema_version":"1.0","source":{"id":"1005.4252","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.4252","created_at":"2026-05-18T02:23:56Z"},{"alias_kind":"arxiv_version","alias_value":"1005.4252v2","created_at":"2026-05-18T02:23:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.4252","created_at":"2026-05-18T02:23:56Z"},{"alias_kind":"pith_short_12","alias_value":"WPLDYUW7EOLC","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"WPLDYUW7EOLCMIBJ","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"WPLDYUW7","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:125dea1943195a7c1d69e2a5d5e93364d1b4493e1f03bca35fcfe8076adfac57","target":"graph","created_at":"2026-05-18T02:23:56Z","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 extend Br\\\"and\\'en's recent proof of a conjecture of Stanley and describe a new class of non-linear operators that preserve weak Hurwitz stability and the Laguerre-P\\'olya class.","authors_text":"Lukasz Grabarek","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-05-24T04:06:20Z","title":"A New Class of Non-Linear Stability Preserving Operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.4252","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":"sha256:7c8350c8177462942f131e35e0c26bf8edc456c15c67437eb2ef949ec5bd8d73","target":"record","created_at":"2026-05-18T02:23:56Z","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":"c79023aaad6afc119b0bfc291935b81ed920b6fda2a4d7570dec327da9f6b397","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-05-24T04:06:20Z","title_canon_sha256":"0209813c2e477230427a20365ced88152b4fe4d9e3532d20855013863d39ec56"},"schema_version":"1.0","source":{"id":"1005.4252","kind":"arxiv","version":2}},"canonical_sha256":"b3d63c52df2396262029e9703355bea0384739f1e09489b1ba2f3d22fc8737f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3d63c52df2396262029e9703355bea0384739f1e09489b1ba2f3d22fc8737f1","first_computed_at":"2026-05-18T02:23:56.239049Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:23:56.239049Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A5gaF9OO5Rwy+qUOXRbp74gU98hr/zLs5PiDTZXQShJc8fXFrhp42fmu71Gx4gJJPLFEQaoS569wZeMC8gwbCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:23:56.239795Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.4252","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7c8350c8177462942f131e35e0c26bf8edc456c15c67437eb2ef949ec5bd8d73","sha256:125dea1943195a7c1d69e2a5d5e93364d1b4493e1f03bca35fcfe8076adfac57"],"state_sha256":"31ebc082e4f45028a43ef8a51aa65f8fd07b3836c61366a1e084159712c3e304"}