{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:3QLXHMDF2VIFXOBZQ4W5I27U4Y","short_pith_number":"pith:3QLXHMDF","schema_version":"1.0","canonical_sha256":"dc1773b065d5505bb839872dd46bf4e60c34e5cefc6386f662c47d87ae37cb07","source":{"kind":"arxiv","id":"1612.01755","version":1},"attestation_state":"computed","paper":{"title":"On the Bonsall cone spectral radius and the approximate point spectrum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"Aljo\\v{s}a Peperko, Vladimir M\\\"uller","submitted_at":"2016-12-06T11:15:05Z","abstract_excerpt":"We study the Bonsall cone spectral radius and the approximate point spectrum of (in general non-linear) positively homogeneous, bounded and supremum preserving maps, defined on a max-cone in a given normed vector lattice. We prove that the Bonsall cone spectral radius of such maps is always included in its approximate point spectrum. Moreover, the approximate point spectrum always contains a (possibly trivial) interval. Our results apply to a large class of (nonlinear) max-type operators.\n  We also generalize a known result that the spectral radius of a positive (linear) operator on a Banach l"},"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":"1612.01755","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2016-12-06T11:15:05Z","cross_cats_sorted":[],"title_canon_sha256":"6fff7c50e39069051c5b04f9a2a7552959b1ce4dbe1930618b3d29e143b3fe27","abstract_canon_sha256":"aa5dfe9e12c371406498e4b14be12cfb2ece6bdac70991a5bd438a688a76ecf6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:55:47.676057Z","signature_b64":"ZdI4Txzm0Uh8hqGjPy6fz/AuO4KLS3JGlfOb7CnOHOQdvqSoaGm5jZiRdSG2RlXq77nRsZYinQVBKX6kb+g3AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dc1773b065d5505bb839872dd46bf4e60c34e5cefc6386f662c47d87ae37cb07","last_reissued_at":"2026-05-18T00:55:47.675530Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:55:47.675530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Bonsall cone spectral radius and the approximate point spectrum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SP","authors_text":"Aljo\\v{s}a Peperko, Vladimir M\\\"uller","submitted_at":"2016-12-06T11:15:05Z","abstract_excerpt":"We study the Bonsall cone spectral radius and the approximate point spectrum of (in general non-linear) positively homogeneous, bounded and supremum preserving maps, defined on a max-cone in a given normed vector lattice. We prove that the Bonsall cone spectral radius of such maps is always included in its approximate point spectrum. Moreover, the approximate point spectrum always contains a (possibly trivial) interval. Our results apply to a large class of (nonlinear) max-type operators.\n  We also generalize a known result that the spectral radius of a positive (linear) operator on a Banach l"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.01755","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":"1612.01755","created_at":"2026-05-18T00:55:47.675619+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.01755v1","created_at":"2026-05-18T00:55:47.675619+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.01755","created_at":"2026-05-18T00:55:47.675619+00:00"},{"alias_kind":"pith_short_12","alias_value":"3QLXHMDF2VIF","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_16","alias_value":"3QLXHMDF2VIFXOBZ","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_8","alias_value":"3QLXHMDF","created_at":"2026-05-18T12:29:55.572404+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/3QLXHMDF2VIFXOBZQ4W5I27U4Y","json":"https://pith.science/pith/3QLXHMDF2VIFXOBZQ4W5I27U4Y.json","graph_json":"https://pith.science/api/pith-number/3QLXHMDF2VIFXOBZQ4W5I27U4Y/graph.json","events_json":"https://pith.science/api/pith-number/3QLXHMDF2VIFXOBZQ4W5I27U4Y/events.json","paper":"https://pith.science/paper/3QLXHMDF"},"agent_actions":{"view_html":"https://pith.science/pith/3QLXHMDF2VIFXOBZQ4W5I27U4Y","download_json":"https://pith.science/pith/3QLXHMDF2VIFXOBZQ4W5I27U4Y.json","view_paper":"https://pith.science/paper/3QLXHMDF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.01755&json=true","fetch_graph":"https://pith.science/api/pith-number/3QLXHMDF2VIFXOBZQ4W5I27U4Y/graph.json","fetch_events":"https://pith.science/api/pith-number/3QLXHMDF2VIFXOBZQ4W5I27U4Y/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3QLXHMDF2VIFXOBZQ4W5I27U4Y/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3QLXHMDF2VIFXOBZQ4W5I27U4Y/action/storage_attestation","attest_author":"https://pith.science/pith/3QLXHMDF2VIFXOBZQ4W5I27U4Y/action/author_attestation","sign_citation":"https://pith.science/pith/3QLXHMDF2VIFXOBZQ4W5I27U4Y/action/citation_signature","submit_replication":"https://pith.science/pith/3QLXHMDF2VIFXOBZQ4W5I27U4Y/action/replication_record"}},"created_at":"2026-05-18T00:55:47.675619+00:00","updated_at":"2026-05-18T00:55:47.675619+00:00"}