{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:JFUYWFZNRKQP7QWLPS2AABWVTI","short_pith_number":"pith:JFUYWFZN","canonical_record":{"source":{"id":"1712.00340","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2017-11-29T21:47:17Z","cross_cats_sorted":[],"title_canon_sha256":"d8c31150818acc3bf5fb067b455c640d59df7f27b7d8970c07b1c001751a810e","abstract_canon_sha256":"728e55ecd56dee7d5b916e49eeb6957cdaf8a7294ee383508f94535cbb857406"},"schema_version":"1.0"},"canonical_sha256":"49698b172d8aa0ffc2cb7cb40006d59a1b42558b1c5d9567306bd1b8f86e2a11","source":{"kind":"arxiv","id":"1712.00340","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.00340","created_at":"2026-05-18T00:29:06Z"},{"alias_kind":"arxiv_version","alias_value":"1712.00340v1","created_at":"2026-05-18T00:29:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.00340","created_at":"2026-05-18T00:29:06Z"},{"alias_kind":"pith_short_12","alias_value":"JFUYWFZNRKQP","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"JFUYWFZNRKQP7QWL","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"JFUYWFZN","created_at":"2026-05-18T12:31:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:JFUYWFZNRKQP7QWLPS2AABWVTI","target":"record","payload":{"canonical_record":{"source":{"id":"1712.00340","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2017-11-29T21:47:17Z","cross_cats_sorted":[],"title_canon_sha256":"d8c31150818acc3bf5fb067b455c640d59df7f27b7d8970c07b1c001751a810e","abstract_canon_sha256":"728e55ecd56dee7d5b916e49eeb6957cdaf8a7294ee383508f94535cbb857406"},"schema_version":"1.0"},"canonical_sha256":"49698b172d8aa0ffc2cb7cb40006d59a1b42558b1c5d9567306bd1b8f86e2a11","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:06.498824Z","signature_b64":"5fwV2NKxPXXuSwYml6U6O6IfP4TZbgeH0xvyEXML60PeK26yX/SrhqlPCuj1tPZatkQgWsYcMReN0M7DW0hDCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"49698b172d8aa0ffc2cb7cb40006d59a1b42558b1c5d9567306bd1b8f86e2a11","last_reissued_at":"2026-05-18T00:29:06.498354Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:06.498354Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.00340","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:29:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oL0NIdXvyJtxtyNrvgTeQIPBFVyyr7yLood/ANM3bB9XbrhlqelnV4p5d5raJ3722s636v/UekVrH73+srMLDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T19:17:10.506112Z"},"content_sha256":"f9e123f5be25b166f95956d44fa6210aefe5fa3e428f0fa921e4ddcd83e31d1c","schema_version":"1.0","event_id":"sha256:f9e123f5be25b166f95956d44fa6210aefe5fa3e428f0fa921e4ddcd83e31d1c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:JFUYWFZNRKQP7QWLPS2AABWVTI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lower spectral radius and spectral mapping theorem for suprema preserving mappings","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":"2017-11-29T21:47:17Z","abstract_excerpt":"We study Lipschitz, positively homogeneous and finite suprema preserving mappings defined on a max-cone of positive elements in a normed vector lattice. We prove that the lower spectral radius of such a mapping is always a minimum value of its approximate point spectrum. We apply this result to show that the spectral mapping theorem holds for the approximate point spectrum of such a mapping. By applying this spectral mapping theorem we obtain new inequalites for the Bonsall cone spectral radius of max type kernel operators."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.00340","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:29:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sOIEHyqpd9y17ej5paWCZNwqNpIy/3x8+zy3kf+Gmy2pdx+8zg1kZzAVn5AYSCcV8vkpiuSbgFUUS9HIt/KdCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T19:17:10.506506Z"},"content_sha256":"27b7262bd2cab26ecb9c25732ed683da20512ffff0bd1c5d027db33c14399a8a","schema_version":"1.0","event_id":"sha256:27b7262bd2cab26ecb9c25732ed683da20512ffff0bd1c5d027db33c14399a8a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JFUYWFZNRKQP7QWLPS2AABWVTI/bundle.json","state_url":"https://pith.science/pith/JFUYWFZNRKQP7QWLPS2AABWVTI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JFUYWFZNRKQP7QWLPS2AABWVTI/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-26T19:17:10Z","links":{"resolver":"https://pith.science/pith/JFUYWFZNRKQP7QWLPS2AABWVTI","bundle":"https://pith.science/pith/JFUYWFZNRKQP7QWLPS2AABWVTI/bundle.json","state":"https://pith.science/pith/JFUYWFZNRKQP7QWLPS2AABWVTI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JFUYWFZNRKQP7QWLPS2AABWVTI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:JFUYWFZNRKQP7QWLPS2AABWVTI","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":"728e55ecd56dee7d5b916e49eeb6957cdaf8a7294ee383508f94535cbb857406","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2017-11-29T21:47:17Z","title_canon_sha256":"d8c31150818acc3bf5fb067b455c640d59df7f27b7d8970c07b1c001751a810e"},"schema_version":"1.0","source":{"id":"1712.00340","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.00340","created_at":"2026-05-18T00:29:06Z"},{"alias_kind":"arxiv_version","alias_value":"1712.00340v1","created_at":"2026-05-18T00:29:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.00340","created_at":"2026-05-18T00:29:06Z"},{"alias_kind":"pith_short_12","alias_value":"JFUYWFZNRKQP","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"JFUYWFZNRKQP7QWL","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"JFUYWFZN","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:27b7262bd2cab26ecb9c25732ed683da20512ffff0bd1c5d027db33c14399a8a","target":"graph","created_at":"2026-05-18T00:29:06Z","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":"We study Lipschitz, positively homogeneous and finite suprema preserving mappings defined on a max-cone of positive elements in a normed vector lattice. We prove that the lower spectral radius of such a mapping is always a minimum value of its approximate point spectrum. We apply this result to show that the spectral mapping theorem holds for the approximate point spectrum of such a mapping. By applying this spectral mapping theorem we obtain new inequalites for the Bonsall cone spectral radius of max type kernel operators.","authors_text":"Aljo\\v{s}a Peperko, Vladimir M\\\"uller","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2017-11-29T21:47:17Z","title":"Lower spectral radius and spectral mapping theorem for suprema preserving mappings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.00340","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:f9e123f5be25b166f95956d44fa6210aefe5fa3e428f0fa921e4ddcd83e31d1c","target":"record","created_at":"2026-05-18T00:29:06Z","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":"728e55ecd56dee7d5b916e49eeb6957cdaf8a7294ee383508f94535cbb857406","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2017-11-29T21:47:17Z","title_canon_sha256":"d8c31150818acc3bf5fb067b455c640d59df7f27b7d8970c07b1c001751a810e"},"schema_version":"1.0","source":{"id":"1712.00340","kind":"arxiv","version":1}},"canonical_sha256":"49698b172d8aa0ffc2cb7cb40006d59a1b42558b1c5d9567306bd1b8f86e2a11","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"49698b172d8aa0ffc2cb7cb40006d59a1b42558b1c5d9567306bd1b8f86e2a11","first_computed_at":"2026-05-18T00:29:06.498354Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:06.498354Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5fwV2NKxPXXuSwYml6U6O6IfP4TZbgeH0xvyEXML60PeK26yX/SrhqlPCuj1tPZatkQgWsYcMReN0M7DW0hDCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:06.498824Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.00340","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9e123f5be25b166f95956d44fa6210aefe5fa3e428f0fa921e4ddcd83e31d1c","sha256:27b7262bd2cab26ecb9c25732ed683da20512ffff0bd1c5d027db33c14399a8a"],"state_sha256":"aefeb76e1ac02941249f15b421bc2587f1e21635e539725fbec48db9db4f5d01"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DQydfkT/suANOd2VPDIZ8woHestfyafguqqSkyxDLW5yVDVUPTvHCb/RhaDJFhw48p53Loa025XpM3GYcmRJBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T19:17:10.508675Z","bundle_sha256":"1ad06cfa1df5ada3a1a946d65420af63c885b32bb323edaf07c2fd83963478e0"}}