{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:HDA5AD46NXY3MBXHHC2GX2IGOL","short_pith_number":"pith:HDA5AD46","canonical_record":{"source":{"id":"1702.05025","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-02-16T15:57:54Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"0a22c9f241eaf1597629dcc54e0b916ebe2847cba653c590968fd59d7a2abeb8","abstract_canon_sha256":"95eb61c5c250e6516a21d7e7da7db5a6b36af2daeb86fff98fcfe9cefe8c29e6"},"schema_version":"1.0"},"canonical_sha256":"38c1d00f9e6df1b606e738b46be90672dd37587b11e639766b55bc7d365b82b5","source":{"kind":"arxiv","id":"1702.05025","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.05025","created_at":"2026-05-18T00:36:47Z"},{"alias_kind":"arxiv_version","alias_value":"1702.05025v1","created_at":"2026-05-18T00:36:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.05025","created_at":"2026-05-18T00:36:47Z"},{"alias_kind":"pith_short_12","alias_value":"HDA5AD46NXY3","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HDA5AD46NXY3MBXH","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HDA5AD46","created_at":"2026-05-18T12:31:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:HDA5AD46NXY3MBXHHC2GX2IGOL","target":"record","payload":{"canonical_record":{"source":{"id":"1702.05025","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-02-16T15:57:54Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"0a22c9f241eaf1597629dcc54e0b916ebe2847cba653c590968fd59d7a2abeb8","abstract_canon_sha256":"95eb61c5c250e6516a21d7e7da7db5a6b36af2daeb86fff98fcfe9cefe8c29e6"},"schema_version":"1.0"},"canonical_sha256":"38c1d00f9e6df1b606e738b46be90672dd37587b11e639766b55bc7d365b82b5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:47.639683Z","signature_b64":"VFZkSTvBywJ8yDuVLWYz43V6BHPg9cbC2Ny1fIAGKCu/nOPGXHQNyNPyDc7jPLSdB1NRx6c3Q6BlKyfWiOSGDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"38c1d00f9e6df1b606e738b46be90672dd37587b11e639766b55bc7d365b82b5","last_reissued_at":"2026-05-18T00:36:47.639209Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:47.639209Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.05025","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":"2026-05-18T00:36:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2bPHhbDOPN93/ckHcL868NVYw/WYDa4p0nP+Rz4TYX67IaFjipYexOZV3bv5hdJEfKY12wK4f1vp/+rI+nWrCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T21:17:42.760466Z"},"content_sha256":"2aca44ddcd3683e41bbf767c65d7b65b6b9d7a2564c15f27dffc8240fceda0a0","schema_version":"1.0","event_id":"sha256:2aca44ddcd3683e41bbf767c65d7b65b6b9d7a2564c15f27dffc8240fceda0a0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:HDA5AD46NXY3MBXHHC2GX2IGOL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hypercyclic and supercyclic linear operators on non-Archimedean vector spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.FA","authors_text":"Farrukh Mukhamedov, Otabek Khakimov","submitted_at":"2017-02-16T15:57:54Z","abstract_excerpt":"A main objective of the present paper is to develop the theory of hypercyclicity and supercyclicity of linear operators on topological vector space over non-Archimedean valued fields. We show that there does not exist any hypercyclic operator on finite dimensional spaces. Moreover, we give sufficient and necessary conditions of hypercyclicity (resp. supercyclicity) of linear operators on separable $F$-spaces. It is proven that a linear operator $T$ on topological vector space $X$ is hypercyclic (supercyclic) if it satisfies Hypercyclic (resp. Supercyclic) Criterion. We consider backward shifts"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.05025","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":"2026-05-18T00:36:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e7Yn8NOCOB92i3Fl0Awx71ghTq7bjvW9pbQGA7fj+uqI7uA+sHZYOt8S9KdGB1l+xm8wSOq9nHRuQM1YahbHCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T21:17:42.761119Z"},"content_sha256":"db66d94526b19e56c29d5f9c05ba89ed4cc685f6dfb2f727299a4ca728adeba5","schema_version":"1.0","event_id":"sha256:db66d94526b19e56c29d5f9c05ba89ed4cc685f6dfb2f727299a4ca728adeba5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HDA5AD46NXY3MBXHHC2GX2IGOL/bundle.json","state_url":"https://pith.science/pith/HDA5AD46NXY3MBXHHC2GX2IGOL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HDA5AD46NXY3MBXHHC2GX2IGOL/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":"2026-05-26T21:17:42Z","links":{"resolver":"https://pith.science/pith/HDA5AD46NXY3MBXHHC2GX2IGOL","bundle":"https://pith.science/pith/HDA5AD46NXY3MBXHHC2GX2IGOL/bundle.json","state":"https://pith.science/pith/HDA5AD46NXY3MBXHHC2GX2IGOL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HDA5AD46NXY3MBXHHC2GX2IGOL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:HDA5AD46NXY3MBXHHC2GX2IGOL","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":"95eb61c5c250e6516a21d7e7da7db5a6b36af2daeb86fff98fcfe9cefe8c29e6","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-02-16T15:57:54Z","title_canon_sha256":"0a22c9f241eaf1597629dcc54e0b916ebe2847cba653c590968fd59d7a2abeb8"},"schema_version":"1.0","source":{"id":"1702.05025","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.05025","created_at":"2026-05-18T00:36:47Z"},{"alias_kind":"arxiv_version","alias_value":"1702.05025v1","created_at":"2026-05-18T00:36:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.05025","created_at":"2026-05-18T00:36:47Z"},{"alias_kind":"pith_short_12","alias_value":"HDA5AD46NXY3","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HDA5AD46NXY3MBXH","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HDA5AD46","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:db66d94526b19e56c29d5f9c05ba89ed4cc685f6dfb2f727299a4ca728adeba5","target":"graph","created_at":"2026-05-18T00:36:47Z","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":"A main objective of the present paper is to develop the theory of hypercyclicity and supercyclicity of linear operators on topological vector space over non-Archimedean valued fields. We show that there does not exist any hypercyclic operator on finite dimensional spaces. Moreover, we give sufficient and necessary conditions of hypercyclicity (resp. supercyclicity) of linear operators on separable $F$-spaces. It is proven that a linear operator $T$ on topological vector space $X$ is hypercyclic (supercyclic) if it satisfies Hypercyclic (resp. Supercyclic) Criterion. We consider backward shifts","authors_text":"Farrukh Mukhamedov, Otabek Khakimov","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-02-16T15:57:54Z","title":"Hypercyclic and supercyclic linear operators on non-Archimedean vector spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.05025","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":"sha256:2aca44ddcd3683e41bbf767c65d7b65b6b9d7a2564c15f27dffc8240fceda0a0","target":"record","created_at":"2026-05-18T00:36:47Z","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":"95eb61c5c250e6516a21d7e7da7db5a6b36af2daeb86fff98fcfe9cefe8c29e6","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-02-16T15:57:54Z","title_canon_sha256":"0a22c9f241eaf1597629dcc54e0b916ebe2847cba653c590968fd59d7a2abeb8"},"schema_version":"1.0","source":{"id":"1702.05025","kind":"arxiv","version":1}},"canonical_sha256":"38c1d00f9e6df1b606e738b46be90672dd37587b11e639766b55bc7d365b82b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"38c1d00f9e6df1b606e738b46be90672dd37587b11e639766b55bc7d365b82b5","first_computed_at":"2026-05-18T00:36:47.639209Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:47.639209Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VFZkSTvBywJ8yDuVLWYz43V6BHPg9cbC2Ny1fIAGKCu/nOPGXHQNyNPyDc7jPLSdB1NRx6c3Q6BlKyfWiOSGDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:47.639683Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.05025","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2aca44ddcd3683e41bbf767c65d7b65b6b9d7a2564c15f27dffc8240fceda0a0","sha256:db66d94526b19e56c29d5f9c05ba89ed4cc685f6dfb2f727299a4ca728adeba5"],"state_sha256":"c2b801708bfde0161903e5029b4c047faa1bb70d28617d3bd360ccbedb5cc178"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cOW/aroV6Cvs933iSlSx1b/oRv/prVoJYe5F2K2QGZpv13Mf60uBNOGLKQnUQeE9e2ferPVEHA/ZtIHOirBdDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T21:17:42.764329Z","bundle_sha256":"2708c594a154adc7c4a2c9855e773a8c734eea332b8db61fa5f5675dd702195e"}}