{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:2STDMCAU6SCO6H6INOBAUNBFTG","short_pith_number":"pith:2STDMCAU","canonical_record":{"source":{"id":"1311.7671","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-11-29T19:25:18Z","cross_cats_sorted":[],"title_canon_sha256":"90834672d48b75f176f3b283f762db26ac13e1801f66d80309d442f33d33d619","abstract_canon_sha256":"8d01f6b9e5aeecf2a0fe7f5c1f13fbc74b140ecf9c666b3f4c975157ad6613b0"},"schema_version":"1.0"},"canonical_sha256":"d4a6360814f484ef1fc86b820a342599b113edfbe370232dd45eb3fdd805d003","source":{"kind":"arxiv","id":"1311.7671","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.7671","created_at":"2026-05-18T02:46:14Z"},{"alias_kind":"arxiv_version","alias_value":"1311.7671v2","created_at":"2026-05-18T02:46:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.7671","created_at":"2026-05-18T02:46:14Z"},{"alias_kind":"pith_short_12","alias_value":"2STDMCAU6SCO","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"2STDMCAU6SCO6H6I","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"2STDMCAU","created_at":"2026-05-18T12:27:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:2STDMCAU6SCO6H6INOBAUNBFTG","target":"record","payload":{"canonical_record":{"source":{"id":"1311.7671","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-11-29T19:25:18Z","cross_cats_sorted":[],"title_canon_sha256":"90834672d48b75f176f3b283f762db26ac13e1801f66d80309d442f33d33d619","abstract_canon_sha256":"8d01f6b9e5aeecf2a0fe7f5c1f13fbc74b140ecf9c666b3f4c975157ad6613b0"},"schema_version":"1.0"},"canonical_sha256":"d4a6360814f484ef1fc86b820a342599b113edfbe370232dd45eb3fdd805d003","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:46:14.857640Z","signature_b64":"M+wHf8L0EmGMibkAGbsbRT0Mk2VnrdbBhnpOPsgYI9Xhexb3uIQOqJ6DLlLnQzd35Ky9VNoC8eKHkl2yAfJYBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d4a6360814f484ef1fc86b820a342599b113edfbe370232dd45eb3fdd805d003","last_reissued_at":"2026-05-18T02:46:14.856938Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:46:14.856938Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.7671","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:46:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oGTOecg/Rlg4wqp46DaJ1HJaWD+P7xvdgq5ceGGTSAVdi4jR2OFTTe5JyWFiKfJ+ZIHUF0vR/WibExlbModSAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T23:03:07.586470Z"},"content_sha256":"a68c2e546696b937f0aaf2d1c9e09a7ae1cc1160d3ffc0d6ea3be9b5c1b7f3cf","schema_version":"1.0","event_id":"sha256:a68c2e546696b937f0aaf2d1c9e09a7ae1cc1160d3ffc0d6ea3be9b5c1b7f3cf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:2STDMCAU6SCO6H6INOBAUNBFTG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Strongly mixing convolution operators on Fr\\'echet spaces of holomorphic functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Dami\\'an Pinasco, Mart\\'in Savransky, Santiago Muro","submitted_at":"2013-11-29T19:25:18Z","abstract_excerpt":"A theorem of Godefroy and Shapiro states that non-trivial convolution operators on the space of entire functions on $\\mathbb{C}^n$ are hypercyclic. Moreover, it was shown by Bonilla and Grosse-Erdmann that they have frequently hypercyclic functions of exponential growth. On the other hand, in the infinite dimensional setting, the Godefroy-Shapiro theorem has been extended to several spaces of entire functions defined on Banach spaces. We prove that on all these spaces, non-trivial convolution operators are strongly mixing with respect to a gaussian probability measure of full support. For the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.7671","kind":"arxiv","version":2},"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":"2026-05-18T02:46:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1nVvQFTmn5PZmleT0Oxr6hFlb5EI6giq2a7vOwR3gsxHjYHNzOJw5ow9YWs2TjFQPtgPU2zFY2qHeGpBkGvzCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T23:03:07.587150Z"},"content_sha256":"deda916a6b117e77cab8bcf12b24fc99cd5514cccdf084f65c2c7b762c5575bf","schema_version":"1.0","event_id":"sha256:deda916a6b117e77cab8bcf12b24fc99cd5514cccdf084f65c2c7b762c5575bf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2STDMCAU6SCO6H6INOBAUNBFTG/bundle.json","state_url":"https://pith.science/pith/2STDMCAU6SCO6H6INOBAUNBFTG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2STDMCAU6SCO6H6INOBAUNBFTG/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":"2026-06-07T23:03:07Z","links":{"resolver":"https://pith.science/pith/2STDMCAU6SCO6H6INOBAUNBFTG","bundle":"https://pith.science/pith/2STDMCAU6SCO6H6INOBAUNBFTG/bundle.json","state":"https://pith.science/pith/2STDMCAU6SCO6H6INOBAUNBFTG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2STDMCAU6SCO6H6INOBAUNBFTG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:2STDMCAU6SCO6H6INOBAUNBFTG","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":"8d01f6b9e5aeecf2a0fe7f5c1f13fbc74b140ecf9c666b3f4c975157ad6613b0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-11-29T19:25:18Z","title_canon_sha256":"90834672d48b75f176f3b283f762db26ac13e1801f66d80309d442f33d33d619"},"schema_version":"1.0","source":{"id":"1311.7671","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.7671","created_at":"2026-05-18T02:46:14Z"},{"alias_kind":"arxiv_version","alias_value":"1311.7671v2","created_at":"2026-05-18T02:46:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.7671","created_at":"2026-05-18T02:46:14Z"},{"alias_kind":"pith_short_12","alias_value":"2STDMCAU6SCO","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"2STDMCAU6SCO6H6I","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"2STDMCAU","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:deda916a6b117e77cab8bcf12b24fc99cd5514cccdf084f65c2c7b762c5575bf","target":"graph","created_at":"2026-05-18T02:46:14Z","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 theorem of Godefroy and Shapiro states that non-trivial convolution operators on the space of entire functions on $\\mathbb{C}^n$ are hypercyclic. Moreover, it was shown by Bonilla and Grosse-Erdmann that they have frequently hypercyclic functions of exponential growth. On the other hand, in the infinite dimensional setting, the Godefroy-Shapiro theorem has been extended to several spaces of entire functions defined on Banach spaces. We prove that on all these spaces, non-trivial convolution operators are strongly mixing with respect to a gaussian probability measure of full support. For the ","authors_text":"Dami\\'an Pinasco, Mart\\'in Savransky, Santiago Muro","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-11-29T19:25:18Z","title":"Strongly mixing convolution operators on Fr\\'echet spaces of holomorphic functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.7671","kind":"arxiv","version":2},"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:a68c2e546696b937f0aaf2d1c9e09a7ae1cc1160d3ffc0d6ea3be9b5c1b7f3cf","target":"record","created_at":"2026-05-18T02:46:14Z","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":"8d01f6b9e5aeecf2a0fe7f5c1f13fbc74b140ecf9c666b3f4c975157ad6613b0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-11-29T19:25:18Z","title_canon_sha256":"90834672d48b75f176f3b283f762db26ac13e1801f66d80309d442f33d33d619"},"schema_version":"1.0","source":{"id":"1311.7671","kind":"arxiv","version":2}},"canonical_sha256":"d4a6360814f484ef1fc86b820a342599b113edfbe370232dd45eb3fdd805d003","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4a6360814f484ef1fc86b820a342599b113edfbe370232dd45eb3fdd805d003","first_computed_at":"2026-05-18T02:46:14.856938Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:46:14.856938Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M+wHf8L0EmGMibkAGbsbRT0Mk2VnrdbBhnpOPsgYI9Xhexb3uIQOqJ6DLlLnQzd35Ky9VNoC8eKHkl2yAfJYBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:46:14.857640Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.7671","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a68c2e546696b937f0aaf2d1c9e09a7ae1cc1160d3ffc0d6ea3be9b5c1b7f3cf","sha256:deda916a6b117e77cab8bcf12b24fc99cd5514cccdf084f65c2c7b762c5575bf"],"state_sha256":"fab8dba3a15c0abeeca93c998d6cbf95dcf2c1f21bd9623f8ad34773ab638da4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D83EVKcuRGgCWPIXkTila1q1QuAKCxhCJrZJjk4aJieN6B4CpR/0InQk3RUmLlPnE1I3nCqSgC1KeO/EhVSKCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T23:03:07.590875Z","bundle_sha256":"7c3a7843c5bff13f7286680bc402efba620a29733d6dbc541974d233768dccf6"}}