{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:RADZLSPDWXIMCIWDXTZ5MS4PG7","short_pith_number":"pith:RADZLSPD","canonical_record":{"source":{"id":"1802.02118","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-02-06T18:30:25Z","cross_cats_sorted":[],"title_canon_sha256":"1fbeee6d03ca3bc5dcdbe69ad6e513193a1ac1156d0916cdf5f852ac2a74edbe","abstract_canon_sha256":"290bad02a3f73e6bbbb7616e6b8cc3ec0f551803418f09f700f5f96d54a250ea"},"schema_version":"1.0"},"canonical_sha256":"880795c9e3b5d0c122c3bcf3d64b8f37d8bc69e1d70812d652677ce39293548f","source":{"kind":"arxiv","id":"1802.02118","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.02118","created_at":"2026-05-18T00:15:57Z"},{"alias_kind":"arxiv_version","alias_value":"1802.02118v3","created_at":"2026-05-18T00:15:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.02118","created_at":"2026-05-18T00:15:57Z"},{"alias_kind":"pith_short_12","alias_value":"RADZLSPDWXIM","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RADZLSPDWXIMCIWD","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RADZLSPD","created_at":"2026-05-18T12:32:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:RADZLSPDWXIMCIWDXTZ5MS4PG7","target":"record","payload":{"canonical_record":{"source":{"id":"1802.02118","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-02-06T18:30:25Z","cross_cats_sorted":[],"title_canon_sha256":"1fbeee6d03ca3bc5dcdbe69ad6e513193a1ac1156d0916cdf5f852ac2a74edbe","abstract_canon_sha256":"290bad02a3f73e6bbbb7616e6b8cc3ec0f551803418f09f700f5f96d54a250ea"},"schema_version":"1.0"},"canonical_sha256":"880795c9e3b5d0c122c3bcf3d64b8f37d8bc69e1d70812d652677ce39293548f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:57.809096Z","signature_b64":"RByP/vpAtgqV0fYOOV+o8k3u4UbFsvfjHfV9+SJKb9fED4JE0xfhOHs/KzIJWCMuHxamQV2mME7PVVxtpKy9Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"880795c9e3b5d0c122c3bcf3d64b8f37d8bc69e1d70812d652677ce39293548f","last_reissued_at":"2026-05-18T00:15:57.808481Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:57.808481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.02118","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:15:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pUPiFPdJ5JeA6uHkdkM5dYMYvs/u54H8t6tcYdtlyzh3/dT8d1g5/4gioNxSuzD3KLpJnJsGusimNoOaT7X2AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T15:32:53.314359Z"},"content_sha256":"8c30b16c7c655fe5cb049b43f8caa813cf53b6727976bcb0b573451c06ca31b8","schema_version":"1.0","event_id":"sha256:8c30b16c7c655fe5cb049b43f8caa813cf53b6727976bcb0b573451c06ca31b8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:RADZLSPDWXIMCIWDXTZ5MS4PG7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A note on supercyclic operators in locally convex spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Angela A. Albanese, David Jornet","submitted_at":"2018-02-06T18:30:25Z","abstract_excerpt":"We treat some questions related to supercyclicity of continuous linear operators when acting in locally convex spaces. We extend results of Ansari and Bourdon and consider doubly power bounded operators in this general setting. Some examples are given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.02118","kind":"arxiv","version":3},"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":"2026-05-18T00:15:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ILr7S7KsUGdgqxPSAARLs4rBEsfTyiccsKKDBSBno61tMy5X8VbpLV/zSS1vfxMZVAuaxQYguNxHvl0KNyA1BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T15:32:53.314703Z"},"content_sha256":"ff891a227baa29c1668d04628b512a08e64072afa12c9898b0a28b50b41480f4","schema_version":"1.0","event_id":"sha256:ff891a227baa29c1668d04628b512a08e64072afa12c9898b0a28b50b41480f4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RADZLSPDWXIMCIWDXTZ5MS4PG7/bundle.json","state_url":"https://pith.science/pith/RADZLSPDWXIMCIWDXTZ5MS4PG7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RADZLSPDWXIMCIWDXTZ5MS4PG7/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":"2026-06-03T15:32:53Z","links":{"resolver":"https://pith.science/pith/RADZLSPDWXIMCIWDXTZ5MS4PG7","bundle":"https://pith.science/pith/RADZLSPDWXIMCIWDXTZ5MS4PG7/bundle.json","state":"https://pith.science/pith/RADZLSPDWXIMCIWDXTZ5MS4PG7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RADZLSPDWXIMCIWDXTZ5MS4PG7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:RADZLSPDWXIMCIWDXTZ5MS4PG7","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":"290bad02a3f73e6bbbb7616e6b8cc3ec0f551803418f09f700f5f96d54a250ea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-02-06T18:30:25Z","title_canon_sha256":"1fbeee6d03ca3bc5dcdbe69ad6e513193a1ac1156d0916cdf5f852ac2a74edbe"},"schema_version":"1.0","source":{"id":"1802.02118","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.02118","created_at":"2026-05-18T00:15:57Z"},{"alias_kind":"arxiv_version","alias_value":"1802.02118v3","created_at":"2026-05-18T00:15:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.02118","created_at":"2026-05-18T00:15:57Z"},{"alias_kind":"pith_short_12","alias_value":"RADZLSPDWXIM","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RADZLSPDWXIMCIWD","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RADZLSPD","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:ff891a227baa29c1668d04628b512a08e64072afa12c9898b0a28b50b41480f4","target":"graph","created_at":"2026-05-18T00:15:57Z","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 treat some questions related to supercyclicity of continuous linear operators when acting in locally convex spaces. We extend results of Ansari and Bourdon and consider doubly power bounded operators in this general setting. Some examples are given.","authors_text":"Angela A. Albanese, David Jornet","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-02-06T18:30:25Z","title":"A note on supercyclic operators in locally convex spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.02118","kind":"arxiv","version":3},"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":"sha256:8c30b16c7c655fe5cb049b43f8caa813cf53b6727976bcb0b573451c06ca31b8","target":"record","created_at":"2026-05-18T00:15:57Z","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":"290bad02a3f73e6bbbb7616e6b8cc3ec0f551803418f09f700f5f96d54a250ea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-02-06T18:30:25Z","title_canon_sha256":"1fbeee6d03ca3bc5dcdbe69ad6e513193a1ac1156d0916cdf5f852ac2a74edbe"},"schema_version":"1.0","source":{"id":"1802.02118","kind":"arxiv","version":3}},"canonical_sha256":"880795c9e3b5d0c122c3bcf3d64b8f37d8bc69e1d70812d652677ce39293548f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"880795c9e3b5d0c122c3bcf3d64b8f37d8bc69e1d70812d652677ce39293548f","first_computed_at":"2026-05-18T00:15:57.808481Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:57.808481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RByP/vpAtgqV0fYOOV+o8k3u4UbFsvfjHfV9+SJKb9fED4JE0xfhOHs/KzIJWCMuHxamQV2mME7PVVxtpKy9Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:57.809096Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.02118","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8c30b16c7c655fe5cb049b43f8caa813cf53b6727976bcb0b573451c06ca31b8","sha256:ff891a227baa29c1668d04628b512a08e64072afa12c9898b0a28b50b41480f4"],"state_sha256":"d5d2225c39f33db4b7a4be30a52649607fc59fe1150f92c6a6e6598407d83522"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f5dg2z9tgM0cCs4xjy/9Osqo2TRXVlIbf4b1GOWZIAC/vfxL9EMkPuoQSdQGlP5a4nLR8ZcAg1BSMgY7VyFcBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T15:32:53.316870Z","bundle_sha256":"fa234c1cc9237b1575a4768b92cd1e6643e64010386b88b6163901e2058d5628"}}