{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:RFRLPZSZ3TICCDATPW6BWZAQ7K","short_pith_number":"pith:RFRLPZSZ","canonical_record":{"source":{"id":"1407.7258","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-07-27T17:20:38Z","cross_cats_sorted":[],"title_canon_sha256":"dfd3378934062fdb2f795fbd0dfa8cfb4787190b2eefa534725cd50f62b05077","abstract_canon_sha256":"858ada0680b91f359142e99b08fa2f6127b1bfc3e8406fca630e899dade24dd5"},"schema_version":"1.0"},"canonical_sha256":"8962b7e659dcd0210c137dbc1b6410faa342c9e215442ee2e4023a46ceceb4f9","source":{"kind":"arxiv","id":"1407.7258","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.7258","created_at":"2026-05-18T01:20:17Z"},{"alias_kind":"arxiv_version","alias_value":"1407.7258v3","created_at":"2026-05-18T01:20:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.7258","created_at":"2026-05-18T01:20:17Z"},{"alias_kind":"pith_short_12","alias_value":"RFRLPZSZ3TIC","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RFRLPZSZ3TICCDAT","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RFRLPZSZ","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:RFRLPZSZ3TICCDATPW6BWZAQ7K","target":"record","payload":{"canonical_record":{"source":{"id":"1407.7258","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-07-27T17:20:38Z","cross_cats_sorted":[],"title_canon_sha256":"dfd3378934062fdb2f795fbd0dfa8cfb4787190b2eefa534725cd50f62b05077","abstract_canon_sha256":"858ada0680b91f359142e99b08fa2f6127b1bfc3e8406fca630e899dade24dd5"},"schema_version":"1.0"},"canonical_sha256":"8962b7e659dcd0210c137dbc1b6410faa342c9e215442ee2e4023a46ceceb4f9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:17.670537Z","signature_b64":"dqcx/+QL45M9hFs7jXLj55lkKeFqORmRzFPMoqrhzuEslVuaCM8Zq9Tneu+vEW7P3cTumqo/17QrBPoI/rU0CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8962b7e659dcd0210c137dbc1b6410faa342c9e215442ee2e4023a46ceceb4f9","last_reissued_at":"2026-05-18T01:20:17.669846Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:17.669846Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.7258","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":"2026-05-18T01:20:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mClINaP0rK0yVQ9bKpPKwen6DuU+4CJHlaTr9xFO1I4EiBzZeurAw5P4+UnpabosBqnEcMvfqUCIdHUFvY9cBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T05:17:10.798933Z"},"content_sha256":"e86e7f4ca0d0e4b9c2fa6e34eb74a2a9cb32358a8fb75a9beef9cf46f36edaba","schema_version":"1.0","event_id":"sha256:e86e7f4ca0d0e4b9c2fa6e34eb74a2a9cb32358a8fb75a9beef9cf46f36edaba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:RFRLPZSZ3TICCDATPW6BWZAQ7K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$q$-Frequent hypercyclicity in spaces of operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Aneesh Mundayadan, Manjul Gupta","submitted_at":"2014-07-27T17:20:38Z","abstract_excerpt":"We provide conditions for a linear map of the form $C_{R,T}(S)=RST$ to be $q$-frequently hypercyclic on algebras of operators on separable Banach spaces. In particular, if $R$ is a bounded operator satisfying the $q$-Frequent Hypercyclicity Criterion, then the map $C_{R}(S)$=$RSR^*$ is shown to be $q$-frequently hypercyclic on the space $\\mathcal{K}(H)$ of all compact operators and the real topological vector space $\\mathcal{S}(H)$ of all self-adjoint operators on a separable Hilbert space $H$. Further we provide a condition for $C_{R,T}$ to be $q$-frequently hypercyclic on the Schatten von Ne"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7258","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":"2026-05-18T01:20:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CUOjhYSW8V4gJUS9/1AJTgj1jl6GQoW/QK0ZwRugP6mltSfTqvKTv7JPKjNxpy69ovfP/MVBcQTfVaQXrilGAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T05:17:10.799650Z"},"content_sha256":"e48c8221f542ae50e56a141d34c166be172b2f369619b89e0e7d4518c9750763","schema_version":"1.0","event_id":"sha256:e48c8221f542ae50e56a141d34c166be172b2f369619b89e0e7d4518c9750763"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RFRLPZSZ3TICCDATPW6BWZAQ7K/bundle.json","state_url":"https://pith.science/pith/RFRLPZSZ3TICCDATPW6BWZAQ7K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RFRLPZSZ3TICCDATPW6BWZAQ7K/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":"2026-06-01T05:17:10Z","links":{"resolver":"https://pith.science/pith/RFRLPZSZ3TICCDATPW6BWZAQ7K","bundle":"https://pith.science/pith/RFRLPZSZ3TICCDATPW6BWZAQ7K/bundle.json","state":"https://pith.science/pith/RFRLPZSZ3TICCDATPW6BWZAQ7K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RFRLPZSZ3TICCDATPW6BWZAQ7K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RFRLPZSZ3TICCDATPW6BWZAQ7K","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":"858ada0680b91f359142e99b08fa2f6127b1bfc3e8406fca630e899dade24dd5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-07-27T17:20:38Z","title_canon_sha256":"dfd3378934062fdb2f795fbd0dfa8cfb4787190b2eefa534725cd50f62b05077"},"schema_version":"1.0","source":{"id":"1407.7258","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.7258","created_at":"2026-05-18T01:20:17Z"},{"alias_kind":"arxiv_version","alias_value":"1407.7258v3","created_at":"2026-05-18T01:20:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.7258","created_at":"2026-05-18T01:20:17Z"},{"alias_kind":"pith_short_12","alias_value":"RFRLPZSZ3TIC","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RFRLPZSZ3TICCDAT","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RFRLPZSZ","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:e48c8221f542ae50e56a141d34c166be172b2f369619b89e0e7d4518c9750763","target":"graph","created_at":"2026-05-18T01:20:17Z","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 provide conditions for a linear map of the form $C_{R,T}(S)=RST$ to be $q$-frequently hypercyclic on algebras of operators on separable Banach spaces. In particular, if $R$ is a bounded operator satisfying the $q$-Frequent Hypercyclicity Criterion, then the map $C_{R}(S)$=$RSR^*$ is shown to be $q$-frequently hypercyclic on the space $\\mathcal{K}(H)$ of all compact operators and the real topological vector space $\\mathcal{S}(H)$ of all self-adjoint operators on a separable Hilbert space $H$. Further we provide a condition for $C_{R,T}$ to be $q$-frequently hypercyclic on the Schatten von Ne","authors_text":"Aneesh Mundayadan, Manjul Gupta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-07-27T17:20:38Z","title":"$q$-Frequent hypercyclicity in spaces of operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7258","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:e86e7f4ca0d0e4b9c2fa6e34eb74a2a9cb32358a8fb75a9beef9cf46f36edaba","target":"record","created_at":"2026-05-18T01:20:17Z","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":"858ada0680b91f359142e99b08fa2f6127b1bfc3e8406fca630e899dade24dd5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-07-27T17:20:38Z","title_canon_sha256":"dfd3378934062fdb2f795fbd0dfa8cfb4787190b2eefa534725cd50f62b05077"},"schema_version":"1.0","source":{"id":"1407.7258","kind":"arxiv","version":3}},"canonical_sha256":"8962b7e659dcd0210c137dbc1b6410faa342c9e215442ee2e4023a46ceceb4f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8962b7e659dcd0210c137dbc1b6410faa342c9e215442ee2e4023a46ceceb4f9","first_computed_at":"2026-05-18T01:20:17.669846Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:17.669846Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dqcx/+QL45M9hFs7jXLj55lkKeFqORmRzFPMoqrhzuEslVuaCM8Zq9Tneu+vEW7P3cTumqo/17QrBPoI/rU0CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:17.670537Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.7258","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e86e7f4ca0d0e4b9c2fa6e34eb74a2a9cb32358a8fb75a9beef9cf46f36edaba","sha256:e48c8221f542ae50e56a141d34c166be172b2f369619b89e0e7d4518c9750763"],"state_sha256":"1e66a8bd2c9e1aa6b74c468462687e71f76f21ecdd5728fdcba23faa4f9ace6e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oae/InwhD2tXaywnRRf1pnbdK9PxZ3OIAchfTIDnB6pCDGPiLgoiyIPBQiu5E0i0xhMyEaD8I/s3BGRJmX+yCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T05:17:10.803152Z","bundle_sha256":"c7fc680f1051b7f490ba64288f53e7c828739bee742c0347b59c66a1c3d0d771"}}