{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:GNC2H4TMOB7HATA6CFUXEJ76EY","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":"d7a057658cf97a11689c49037281e7d443d944b2ecb23bf8d36a1fea7eca5a31","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2016-11-08T22:39:24Z","title_canon_sha256":"2e7112675f41f18acc7f859ed492289603e8ac5b7c571a4cf9bca4ee9e6534a0"},"schema_version":"1.0","source":{"id":"1611.02752","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.02752","created_at":"2026-05-18T00:08:16Z"},{"alias_kind":"arxiv_version","alias_value":"1611.02752v1","created_at":"2026-05-18T00:08:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.02752","created_at":"2026-05-18T00:08:16Z"},{"alias_kind":"pith_short_12","alias_value":"GNC2H4TMOB7H","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GNC2H4TMOB7HATA6","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GNC2H4TM","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:5b05c1899a33614f6e0665821911fc1718842ac0964cf2284eb2035cd200882b","target":"graph","created_at":"2026-05-18T00:08:16Z","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":"In further pursuit of the diagonalizable \\emph{real nonnegative inverse eigenvalue problem} (RNIEP), we study the relationship between the \\emph{row cone} $\\mathcal{C}_r(S)$ and the \\emph{spectracone} $\\mathcal{C}(S)$ of a Perron similarity $S$. In the process, a new kind of matrix, \\emph{row Hadamard conic} (RHC), is defined and related to the D-RNIEP. Characterizations are given when $\\mathcal{C}_r(S) = \\mathcal{C}(S)$, and explicit examples are given for all possible set-theoretic relationships between the two cones. The symmetric NIEP is the special case of the D-RNIEP in which the Perron ","authors_text":"C. R. Johnson, Pietro Paparella","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2016-11-08T22:39:24Z","title":"Row Cones, Perron Similarities, and Nonnegative Spectra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.02752","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":"sha256:79ed8c93bd79a7ef65845a2717ebf7a207cd1f461f09976ad51bdb051a4e13df","target":"record","created_at":"2026-05-18T00:08:16Z","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":"d7a057658cf97a11689c49037281e7d443d944b2ecb23bf8d36a1fea7eca5a31","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2016-11-08T22:39:24Z","title_canon_sha256":"2e7112675f41f18acc7f859ed492289603e8ac5b7c571a4cf9bca4ee9e6534a0"},"schema_version":"1.0","source":{"id":"1611.02752","kind":"arxiv","version":1}},"canonical_sha256":"3345a3f26c707e704c1e11697227fe263b1f235af15317401d78fd8b82d35411","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3345a3f26c707e704c1e11697227fe263b1f235af15317401d78fd8b82d35411","first_computed_at":"2026-05-18T00:08:16.301733Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:16.301733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a9iyMygiEa1nSspYsFEUVw5J/6OMJiYibqta1F3SrMp9KyBfQOGSPorn+hLYEJAipi+Fr9n2/JSAqgOyvzlXAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:16.302349Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.02752","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:79ed8c93bd79a7ef65845a2717ebf7a207cd1f461f09976ad51bdb051a4e13df","sha256:5b05c1899a33614f6e0665821911fc1718842ac0964cf2284eb2035cd200882b"],"state_sha256":"b2f7008641f47ce503f004e129cda75e6da553e064033d5716829524ff7ac9c8"}