{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:XZJH6AXZIY2RTZBAQRURVKG7TY","short_pith_number":"pith:XZJH6AXZ","schema_version":"1.0","canonical_sha256":"be527f02f9463519e42084691aa8df9e31cac12d7c148e35c8bd37f521827bc0","source":{"kind":"arxiv","id":"1511.09016","version":1},"attestation_state":"computed","paper":{"title":"On the spectral radius of nonregular uniform hypergraphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Changjiang Bu, Jiang Zhou, Lizhu Sun","submitted_at":"2015-11-29T14:32:09Z","abstract_excerpt":"Let $G$ be a connected uniform hypergraphs with maximum degree $\\Delta$, spectral radius $\\lambda$ and minimum H-eigenvalue $\\mu$. In this paper, we give some lower bounds for $\\Delta-\\lambda$, which extend the result of [S.M. Cioab\\u{a}, D.A. Gregory, V. Nikiforov, Extreme eigenvalues of nonregular graphs, J. Combin. Theory, Ser. B 97 (2007) 483-486] to hypergraphs. Applying these bounds, we also obtain a lower bound for $\\Delta+\\mu$."},"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":"1511.09016","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-11-29T14:32:09Z","cross_cats_sorted":[],"title_canon_sha256":"f1dc0adffc54929d9ced07cf26adec5b9c0d49af2010cdaa4c9a7d00dfab1b58","abstract_canon_sha256":"b80d721c281221f27f730f7d356154f87322369b8d14f7d2ed4d3d0cc0878de0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:25:45.848682Z","signature_b64":"FK4u1MDGQfaChjgkoKjmmLR7siv+5h34jWPu3uQ4Yk3XYfG3IfQ/oVISOV3j8e57rSRtGNF0BFta0kfg603FAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be527f02f9463519e42084691aa8df9e31cac12d7c148e35c8bd37f521827bc0","last_reissued_at":"2026-05-18T01:25:45.848197Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:25:45.848197Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the spectral radius of nonregular uniform hypergraphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Changjiang Bu, Jiang Zhou, Lizhu Sun","submitted_at":"2015-11-29T14:32:09Z","abstract_excerpt":"Let $G$ be a connected uniform hypergraphs with maximum degree $\\Delta$, spectral radius $\\lambda$ and minimum H-eigenvalue $\\mu$. In this paper, we give some lower bounds for $\\Delta-\\lambda$, which extend the result of [S.M. Cioab\\u{a}, D.A. Gregory, V. Nikiforov, Extreme eigenvalues of nonregular graphs, J. Combin. Theory, Ser. B 97 (2007) 483-486] to hypergraphs. Applying these bounds, we also obtain a lower bound for $\\Delta+\\mu$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.09016","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":"1511.09016","created_at":"2026-05-18T01:25:45.848275+00:00"},{"alias_kind":"arxiv_version","alias_value":"1511.09016v1","created_at":"2026-05-18T01:25:45.848275+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.09016","created_at":"2026-05-18T01:25:45.848275+00:00"},{"alias_kind":"pith_short_12","alias_value":"XZJH6AXZIY2R","created_at":"2026-05-18T12:29:50.041715+00:00"},{"alias_kind":"pith_short_16","alias_value":"XZJH6AXZIY2RTZBA","created_at":"2026-05-18T12:29:50.041715+00:00"},{"alias_kind":"pith_short_8","alias_value":"XZJH6AXZ","created_at":"2026-05-18T12:29:50.041715+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/XZJH6AXZIY2RTZBAQRURVKG7TY","json":"https://pith.science/pith/XZJH6AXZIY2RTZBAQRURVKG7TY.json","graph_json":"https://pith.science/api/pith-number/XZJH6AXZIY2RTZBAQRURVKG7TY/graph.json","events_json":"https://pith.science/api/pith-number/XZJH6AXZIY2RTZBAQRURVKG7TY/events.json","paper":"https://pith.science/paper/XZJH6AXZ"},"agent_actions":{"view_html":"https://pith.science/pith/XZJH6AXZIY2RTZBAQRURVKG7TY","download_json":"https://pith.science/pith/XZJH6AXZIY2RTZBAQRURVKG7TY.json","view_paper":"https://pith.science/paper/XZJH6AXZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1511.09016&json=true","fetch_graph":"https://pith.science/api/pith-number/XZJH6AXZIY2RTZBAQRURVKG7TY/graph.json","fetch_events":"https://pith.science/api/pith-number/XZJH6AXZIY2RTZBAQRURVKG7TY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XZJH6AXZIY2RTZBAQRURVKG7TY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XZJH6AXZIY2RTZBAQRURVKG7TY/action/storage_attestation","attest_author":"https://pith.science/pith/XZJH6AXZIY2RTZBAQRURVKG7TY/action/author_attestation","sign_citation":"https://pith.science/pith/XZJH6AXZIY2RTZBAQRURVKG7TY/action/citation_signature","submit_replication":"https://pith.science/pith/XZJH6AXZIY2RTZBAQRURVKG7TY/action/replication_record"}},"created_at":"2026-05-18T01:25:45.848275+00:00","updated_at":"2026-05-18T01:25:45.848275+00:00"}