{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:CPPQUIBW2XQ32GRHQ54ZIE2OHZ","short_pith_number":"pith:CPPQUIBW","schema_version":"1.0","canonical_sha256":"13df0a2036d5e1bd1a27877994134e3e7d6fa9a7c1ac10e71335e83ce80e35a7","source":{"kind":"arxiv","id":"1310.6699","version":1},"attestation_state":"computed","paper":{"title":"Matrix Roots of Eventually Positive Matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Judith J. McDonald, Michael J. Tsatsomeros, Pietro Paparella","submitted_at":"2013-10-23T00:13:20Z","abstract_excerpt":"Eventually positive matrices are real matrices whose powers become and remain strictly positive. As such, eventually positive matrices are a fortiori matrix roots of positive matrices, which motivates us to study the matrix roots of primitive matrices. Using classical matrix function theory and Perron-Frobenius theory, we characterize, classify, and describe in terms of the real Jordan canonical form the $p$th-roots of eventually positive matrices."},"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":"1310.6699","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-10-23T00:13:20Z","cross_cats_sorted":[],"title_canon_sha256":"7c3a4861b5c9d19ab1c6f7a4e4318e5afd574c27a3f10a2e11a8e69e15f6f754","abstract_canon_sha256":"9ce4f86b812c35aa3852b135028f2cf44f0788b921844c8b6fb587ed0325fb2f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:27.399357Z","signature_b64":"sHBTY9ruenqTOOEoqCNzuFDGR2sLVdoJwsTAt7SCnwLu1eK/n65d2FLh5klfQ9BRQxWgWuXbrlvRQn2Y75ixAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13df0a2036d5e1bd1a27877994134e3e7d6fa9a7c1ac10e71335e83ce80e35a7","last_reissued_at":"2026-05-18T01:58:27.398753Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:27.398753Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Matrix Roots of Eventually Positive Matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Judith J. McDonald, Michael J. Tsatsomeros, Pietro Paparella","submitted_at":"2013-10-23T00:13:20Z","abstract_excerpt":"Eventually positive matrices are real matrices whose powers become and remain strictly positive. As such, eventually positive matrices are a fortiori matrix roots of positive matrices, which motivates us to study the matrix roots of primitive matrices. Using classical matrix function theory and Perron-Frobenius theory, we characterize, classify, and describe in terms of the real Jordan canonical form the $p$th-roots of eventually positive matrices."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.6699","kind":"arxiv","version":1},"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":"1310.6699","created_at":"2026-05-18T01:58:27.398843+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.6699v1","created_at":"2026-05-18T01:58:27.398843+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.6699","created_at":"2026-05-18T01:58:27.398843+00:00"},{"alias_kind":"pith_short_12","alias_value":"CPPQUIBW2XQ3","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_16","alias_value":"CPPQUIBW2XQ32GRH","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_8","alias_value":"CPPQUIBW","created_at":"2026-05-18T12:27:40.988391+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/CPPQUIBW2XQ32GRHQ54ZIE2OHZ","json":"https://pith.science/pith/CPPQUIBW2XQ32GRHQ54ZIE2OHZ.json","graph_json":"https://pith.science/api/pith-number/CPPQUIBW2XQ32GRHQ54ZIE2OHZ/graph.json","events_json":"https://pith.science/api/pith-number/CPPQUIBW2XQ32GRHQ54ZIE2OHZ/events.json","paper":"https://pith.science/paper/CPPQUIBW"},"agent_actions":{"view_html":"https://pith.science/pith/CPPQUIBW2XQ32GRHQ54ZIE2OHZ","download_json":"https://pith.science/pith/CPPQUIBW2XQ32GRHQ54ZIE2OHZ.json","view_paper":"https://pith.science/paper/CPPQUIBW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.6699&json=true","fetch_graph":"https://pith.science/api/pith-number/CPPQUIBW2XQ32GRHQ54ZIE2OHZ/graph.json","fetch_events":"https://pith.science/api/pith-number/CPPQUIBW2XQ32GRHQ54ZIE2OHZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CPPQUIBW2XQ32GRHQ54ZIE2OHZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CPPQUIBW2XQ32GRHQ54ZIE2OHZ/action/storage_attestation","attest_author":"https://pith.science/pith/CPPQUIBW2XQ32GRHQ54ZIE2OHZ/action/author_attestation","sign_citation":"https://pith.science/pith/CPPQUIBW2XQ32GRHQ54ZIE2OHZ/action/citation_signature","submit_replication":"https://pith.science/pith/CPPQUIBW2XQ32GRHQ54ZIE2OHZ/action/replication_record"}},"created_at":"2026-05-18T01:58:27.398843+00:00","updated_at":"2026-05-18T01:58:27.398843+00:00"}