{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:QBKBIKSS6NS322ITCIXSTHRI7J","short_pith_number":"pith:QBKBIKSS","canonical_record":{"source":{"id":"1611.08564","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-11-25T19:24:06Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"23ffa23ba23ae13c264fd987fd8f6ad6d1df57c903cf7e51126971107bb7681e","abstract_canon_sha256":"b86fa0bf877abfd9565a3aeca8984bd179139be8b414e1cafcda74ed90534368"},"schema_version":"1.0"},"canonical_sha256":"8054142a52f365bd6913122f299e28fa69db86fb9c1ebd500c0f281afeba2a59","source":{"kind":"arxiv","id":"1611.08564","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.08564","created_at":"2026-05-18T00:56:38Z"},{"alias_kind":"arxiv_version","alias_value":"1611.08564v1","created_at":"2026-05-18T00:56:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.08564","created_at":"2026-05-18T00:56:38Z"},{"alias_kind":"pith_short_12","alias_value":"QBKBIKSS6NS3","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"QBKBIKSS6NS322IT","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"QBKBIKSS","created_at":"2026-05-18T12:30:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:QBKBIKSS6NS322ITCIXSTHRI7J","target":"record","payload":{"canonical_record":{"source":{"id":"1611.08564","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-11-25T19:24:06Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"23ffa23ba23ae13c264fd987fd8f6ad6d1df57c903cf7e51126971107bb7681e","abstract_canon_sha256":"b86fa0bf877abfd9565a3aeca8984bd179139be8b414e1cafcda74ed90534368"},"schema_version":"1.0"},"canonical_sha256":"8054142a52f365bd6913122f299e28fa69db86fb9c1ebd500c0f281afeba2a59","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:38.602531Z","signature_b64":"D3IMZky2gJ1aQeDBTuT15l3uI/9IdCTnLh/c2tuBZFvLEChTCdi6BmT63YdBkzHOFuWBWloroYK9BRWaLZUEDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8054142a52f365bd6913122f299e28fa69db86fb9c1ebd500c0f281afeba2a59","last_reissued_at":"2026-05-18T00:56:38.601693Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:38.601693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.08564","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":"2026-05-18T00:56:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JdI/vzHe8KcO5BShMQq5jdSYK6AvY6OWdehjHJzMIlKn3u+51vCFBqqpIAKVLiAv+/2nMgiJZPfaMJh5lNy5AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T11:02:57.998508Z"},"content_sha256":"954512c9fed0bb404462a3d76f71f6f217391d43c5dea3b078a26456a7c9ad67","schema_version":"1.0","event_id":"sha256:954512c9fed0bb404462a3d76f71f6f217391d43c5dea3b078a26456a7c9ad67"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:QBKBIKSS6NS322ITCIXSTHRI7J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Existence of common hypercyclic subspaces for the derivative operator and the translation operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.DS","authors_text":"Quentin Menet","submitted_at":"2016-11-25T19:24:06Z","abstract_excerpt":"We show that the non-zero multiples of the derivative operator and the non-zero multiples of non-trivial translation operators on the space of entire functions share a common hypercyclic subspace, i.e. a closed infinite-dimensional subspace in which each non-zero vector has a dense orbit for each of these operators."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.08564","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":"2026-05-18T00:56:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SEgc8w2shmEj99HefjvuRIZ+9FO1ps16M9bXY29pTg0Sa9rD7sYtkiG3fJC7VeUvUpqm8tqTqlEA619OdlwIBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T11:02:57.998849Z"},"content_sha256":"1bd9695cccef30010eac2f2775f90cb757818f9ea367fc7b52b197d843b74538","schema_version":"1.0","event_id":"sha256:1bd9695cccef30010eac2f2775f90cb757818f9ea367fc7b52b197d843b74538"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QBKBIKSS6NS322ITCIXSTHRI7J/bundle.json","state_url":"https://pith.science/pith/QBKBIKSS6NS322ITCIXSTHRI7J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QBKBIKSS6NS322ITCIXSTHRI7J/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":"2026-06-30T11:02:57Z","links":{"resolver":"https://pith.science/pith/QBKBIKSS6NS322ITCIXSTHRI7J","bundle":"https://pith.science/pith/QBKBIKSS6NS322ITCIXSTHRI7J/bundle.json","state":"https://pith.science/pith/QBKBIKSS6NS322ITCIXSTHRI7J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QBKBIKSS6NS322ITCIXSTHRI7J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:QBKBIKSS6NS322ITCIXSTHRI7J","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":"b86fa0bf877abfd9565a3aeca8984bd179139be8b414e1cafcda74ed90534368","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-11-25T19:24:06Z","title_canon_sha256":"23ffa23ba23ae13c264fd987fd8f6ad6d1df57c903cf7e51126971107bb7681e"},"schema_version":"1.0","source":{"id":"1611.08564","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.08564","created_at":"2026-05-18T00:56:38Z"},{"alias_kind":"arxiv_version","alias_value":"1611.08564v1","created_at":"2026-05-18T00:56:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.08564","created_at":"2026-05-18T00:56:38Z"},{"alias_kind":"pith_short_12","alias_value":"QBKBIKSS6NS3","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"QBKBIKSS6NS322IT","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"QBKBIKSS","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:1bd9695cccef30010eac2f2775f90cb757818f9ea367fc7b52b197d843b74538","target":"graph","created_at":"2026-05-18T00:56:38Z","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 show that the non-zero multiples of the derivative operator and the non-zero multiples of non-trivial translation operators on the space of entire functions share a common hypercyclic subspace, i.e. a closed infinite-dimensional subspace in which each non-zero vector has a dense orbit for each of these operators.","authors_text":"Quentin Menet","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-11-25T19:24:06Z","title":"Existence of common hypercyclic subspaces for the derivative operator and the translation operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.08564","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":"sha256:954512c9fed0bb404462a3d76f71f6f217391d43c5dea3b078a26456a7c9ad67","target":"record","created_at":"2026-05-18T00:56:38Z","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":"b86fa0bf877abfd9565a3aeca8984bd179139be8b414e1cafcda74ed90534368","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-11-25T19:24:06Z","title_canon_sha256":"23ffa23ba23ae13c264fd987fd8f6ad6d1df57c903cf7e51126971107bb7681e"},"schema_version":"1.0","source":{"id":"1611.08564","kind":"arxiv","version":1}},"canonical_sha256":"8054142a52f365bd6913122f299e28fa69db86fb9c1ebd500c0f281afeba2a59","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8054142a52f365bd6913122f299e28fa69db86fb9c1ebd500c0f281afeba2a59","first_computed_at":"2026-05-18T00:56:38.601693Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:38.601693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D3IMZky2gJ1aQeDBTuT15l3uI/9IdCTnLh/c2tuBZFvLEChTCdi6BmT63YdBkzHOFuWBWloroYK9BRWaLZUEDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:38.602531Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.08564","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:954512c9fed0bb404462a3d76f71f6f217391d43c5dea3b078a26456a7c9ad67","sha256:1bd9695cccef30010eac2f2775f90cb757818f9ea367fc7b52b197d843b74538"],"state_sha256":"adfa8c8646b0fad158e01c4d74d341c993fc73174e23aaadc80c811c5a096578"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X9kDMEJKJk/qrUqquzi/yjWQfHyycQEuVC6O2eDj9rKn3nSHudStKi5ymiziYowk44448v5ZGIbJePhrODALDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T11:02:58.000687Z","bundle_sha256":"746cd7a49cbea1177952de011762d7ca111ecc179e6f350fb980fc6efaaabdcd"}}