{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:PIQFZ5IX2BZ65K5RTFVFRPEMPA","short_pith_number":"pith:PIQFZ5IX","schema_version":"1.0","canonical_sha256":"7a205cf517d073eeabb1996a58bc8c78211b96d6730bb79f505bff0303477f30","source":{"kind":"arxiv","id":"2506.09013","version":1},"attestation_state":"computed","paper":{"title":"Generalization of Cauchy type theorems for matrix Polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Idrees Qasim","submitted_at":"2025-06-10T17:42:06Z","abstract_excerpt":"In this paper, we find bounds for the eigenvalues of matrix polynomials. In particular, we find generalizations of Cauchy's classical Theorem for distribution of eigenvalues of matrix polynomial."},"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":"2506.09013","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2025-06-10T17:42:06Z","cross_cats_sorted":[],"title_canon_sha256":"ec4cce23bd19cbbd9b048d92971605a7dde8ed01214de6c8df24ae9a6eb635be","abstract_canon_sha256":"3840aa6f1a047763d98c8fe478dd296fa7cf98ecace52af72d0371dde204e45e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:19:16.726913Z","signature_b64":"8L/8MpoLu5KxIwP9epb6hmF54XnBkks6F8May1gn1wucxO4XHzcJtfH2Qf8EnapuKJMwXwcbxQrc3WiWCjqgCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7a205cf517d073eeabb1996a58bc8c78211b96d6730bb79f505bff0303477f30","last_reissued_at":"2026-07-05T11:19:16.726494Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:19:16.726494Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalization of Cauchy type theorems for matrix Polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Idrees Qasim","submitted_at":"2025-06-10T17:42:06Z","abstract_excerpt":"In this paper, we find bounds for the eigenvalues of matrix polynomials. In particular, we find generalizations of Cauchy's classical Theorem for distribution of eigenvalues of matrix polynomial."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.09013","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.09013/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2506.09013","created_at":"2026-07-05T11:19:16.726556+00:00"},{"alias_kind":"arxiv_version","alias_value":"2506.09013v1","created_at":"2026-07-05T11:19:16.726556+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.09013","created_at":"2026-07-05T11:19:16.726556+00:00"},{"alias_kind":"pith_short_12","alias_value":"PIQFZ5IX2BZ6","created_at":"2026-07-05T11:19:16.726556+00:00"},{"alias_kind":"pith_short_16","alias_value":"PIQFZ5IX2BZ65K5R","created_at":"2026-07-05T11:19:16.726556+00:00"},{"alias_kind":"pith_short_8","alias_value":"PIQFZ5IX","created_at":"2026-07-05T11:19:16.726556+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/PIQFZ5IX2BZ65K5RTFVFRPEMPA","json":"https://pith.science/pith/PIQFZ5IX2BZ65K5RTFVFRPEMPA.json","graph_json":"https://pith.science/api/pith-number/PIQFZ5IX2BZ65K5RTFVFRPEMPA/graph.json","events_json":"https://pith.science/api/pith-number/PIQFZ5IX2BZ65K5RTFVFRPEMPA/events.json","paper":"https://pith.science/paper/PIQFZ5IX"},"agent_actions":{"view_html":"https://pith.science/pith/PIQFZ5IX2BZ65K5RTFVFRPEMPA","download_json":"https://pith.science/pith/PIQFZ5IX2BZ65K5RTFVFRPEMPA.json","view_paper":"https://pith.science/paper/PIQFZ5IX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2506.09013&json=true","fetch_graph":"https://pith.science/api/pith-number/PIQFZ5IX2BZ65K5RTFVFRPEMPA/graph.json","fetch_events":"https://pith.science/api/pith-number/PIQFZ5IX2BZ65K5RTFVFRPEMPA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PIQFZ5IX2BZ65K5RTFVFRPEMPA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PIQFZ5IX2BZ65K5RTFVFRPEMPA/action/storage_attestation","attest_author":"https://pith.science/pith/PIQFZ5IX2BZ65K5RTFVFRPEMPA/action/author_attestation","sign_citation":"https://pith.science/pith/PIQFZ5IX2BZ65K5RTFVFRPEMPA/action/citation_signature","submit_replication":"https://pith.science/pith/PIQFZ5IX2BZ65K5RTFVFRPEMPA/action/replication_record"}},"created_at":"2026-07-05T11:19:16.726556+00:00","updated_at":"2026-07-05T11:19:16.726556+00:00"}