{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:B4PYFMZ323DZGGJWAYZ65L2HLR","short_pith_number":"pith:B4PYFMZ3","canonical_record":{"source":{"id":"1703.04773","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-03-14T22:19:10Z","cross_cats_sorted":[],"title_canon_sha256":"b0f3b93ce81f88894670b1d1a7a787d9128c6a61598d3e0cf0af9737039507e4","abstract_canon_sha256":"a0cd6c7e067eb1a7da1e9de9abf74c6af50ca0620720d20ec5e24ab4981cd948"},"schema_version":"1.0"},"canonical_sha256":"0f1f82b33bd6c79319360633eeaf475c47d223cf109e94f945a54292d8f8d594","source":{"kind":"arxiv","id":"1703.04773","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.04773","created_at":"2026-05-18T00:39:17Z"},{"alias_kind":"arxiv_version","alias_value":"1703.04773v2","created_at":"2026-05-18T00:39:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.04773","created_at":"2026-05-18T00:39:17Z"},{"alias_kind":"pith_short_12","alias_value":"B4PYFMZ323DZ","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"B4PYFMZ323DZGGJW","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"B4PYFMZ3","created_at":"2026-05-18T12:31:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:B4PYFMZ323DZGGJWAYZ65L2HLR","target":"record","payload":{"canonical_record":{"source":{"id":"1703.04773","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-03-14T22:19:10Z","cross_cats_sorted":[],"title_canon_sha256":"b0f3b93ce81f88894670b1d1a7a787d9128c6a61598d3e0cf0af9737039507e4","abstract_canon_sha256":"a0cd6c7e067eb1a7da1e9de9abf74c6af50ca0620720d20ec5e24ab4981cd948"},"schema_version":"1.0"},"canonical_sha256":"0f1f82b33bd6c79319360633eeaf475c47d223cf109e94f945a54292d8f8d594","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:17.959494Z","signature_b64":"1IM9+awiWS/YPhMuodqxxT2WImM/b/rElTLgGCPCayEaGjyF6I42VBTTsdb+WuBAv9FRr46WyGg5Nj3hC11yDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f1f82b33bd6c79319360633eeaf475c47d223cf109e94f945a54292d8f8d594","last_reissued_at":"2026-05-18T00:39:17.958669Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:17.958669Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.04773","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":"2026-05-18T00:39:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d25WGsJIA06WnMYJZZXBgR9PUxQdigstukgzIvxjyUHrDs4FkPy+GX0aM0z2hnkZ6Q8UcfEteOZvIj6k0SjoAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T00:19:47.326938Z"},"content_sha256":"a89153078517c6a09450998680df37c4516d28b60f4e5e06f05d1feb9f54533e","schema_version":"1.0","event_id":"sha256:a89153078517c6a09450998680df37c4516d28b60f4e5e06f05d1feb9f54533e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:B4PYFMZ323DZGGJWAYZ65L2HLR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hypercyclic homogeneous polynomials on $H(\\mathbb C)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Rodrigo Cardeccia, Santiago Muro","submitted_at":"2017-03-14T22:19:10Z","abstract_excerpt":"It is known that homogeneous polynomials on Banach spaces cannot be hypercyclic, but there are examples of hypercyclic homogeneous polynomials on some non-normable Fr\\'echet spaces. We show the existence of hypercyclic polynomials on $H(\\mathbb C)$, by exhibiting a concrete polynomial which is also the first example of a frequently hypercyclic homogeneous polynomial on any $F$-space.\n  We prove that the homogeneous polynomial on $ H(\\mathbb C)$ defined as the product of a translation operator and the evaluation at 0 is mixing, frequently hypercyclic and chaotic. We prove, in contrast, that som"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.04773","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":"2026-05-18T00:39:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4t28YDoHb82vIL8/DWZJFbywbyUofewVtNhYuigjeEj4GldLW3A/FOVaEw+xoh96Zea3eyvPwyOnvxcUR6TdCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T00:19:47.327532Z"},"content_sha256":"ab7ae8ddd3eeb0a2da273efb9ea1516d4b94adbd1d349603a790af61ecacd1f8","schema_version":"1.0","event_id":"sha256:ab7ae8ddd3eeb0a2da273efb9ea1516d4b94adbd1d349603a790af61ecacd1f8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B4PYFMZ323DZGGJWAYZ65L2HLR/bundle.json","state_url":"https://pith.science/pith/B4PYFMZ323DZGGJWAYZ65L2HLR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B4PYFMZ323DZGGJWAYZ65L2HLR/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":"2026-06-08T00:19:47Z","links":{"resolver":"https://pith.science/pith/B4PYFMZ323DZGGJWAYZ65L2HLR","bundle":"https://pith.science/pith/B4PYFMZ323DZGGJWAYZ65L2HLR/bundle.json","state":"https://pith.science/pith/B4PYFMZ323DZGGJWAYZ65L2HLR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B4PYFMZ323DZGGJWAYZ65L2HLR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:B4PYFMZ323DZGGJWAYZ65L2HLR","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":"a0cd6c7e067eb1a7da1e9de9abf74c6af50ca0620720d20ec5e24ab4981cd948","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-03-14T22:19:10Z","title_canon_sha256":"b0f3b93ce81f88894670b1d1a7a787d9128c6a61598d3e0cf0af9737039507e4"},"schema_version":"1.0","source":{"id":"1703.04773","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.04773","created_at":"2026-05-18T00:39:17Z"},{"alias_kind":"arxiv_version","alias_value":"1703.04773v2","created_at":"2026-05-18T00:39:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.04773","created_at":"2026-05-18T00:39:17Z"},{"alias_kind":"pith_short_12","alias_value":"B4PYFMZ323DZ","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"B4PYFMZ323DZGGJW","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"B4PYFMZ3","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:ab7ae8ddd3eeb0a2da273efb9ea1516d4b94adbd1d349603a790af61ecacd1f8","target":"graph","created_at":"2026-05-18T00:39:17Z","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":"It is known that homogeneous polynomials on Banach spaces cannot be hypercyclic, but there are examples of hypercyclic homogeneous polynomials on some non-normable Fr\\'echet spaces. We show the existence of hypercyclic polynomials on $H(\\mathbb C)$, by exhibiting a concrete polynomial which is also the first example of a frequently hypercyclic homogeneous polynomial on any $F$-space.\n  We prove that the homogeneous polynomial on $ H(\\mathbb C)$ defined as the product of a translation operator and the evaluation at 0 is mixing, frequently hypercyclic and chaotic. We prove, in contrast, that som","authors_text":"Rodrigo Cardeccia, Santiago Muro","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-03-14T22:19:10Z","title":"Hypercyclic homogeneous polynomials on $H(\\mathbb C)$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.04773","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:a89153078517c6a09450998680df37c4516d28b60f4e5e06f05d1feb9f54533e","target":"record","created_at":"2026-05-18T00:39:17Z","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":"a0cd6c7e067eb1a7da1e9de9abf74c6af50ca0620720d20ec5e24ab4981cd948","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-03-14T22:19:10Z","title_canon_sha256":"b0f3b93ce81f88894670b1d1a7a787d9128c6a61598d3e0cf0af9737039507e4"},"schema_version":"1.0","source":{"id":"1703.04773","kind":"arxiv","version":2}},"canonical_sha256":"0f1f82b33bd6c79319360633eeaf475c47d223cf109e94f945a54292d8f8d594","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f1f82b33bd6c79319360633eeaf475c47d223cf109e94f945a54292d8f8d594","first_computed_at":"2026-05-18T00:39:17.958669Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:17.958669Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1IM9+awiWS/YPhMuodqxxT2WImM/b/rElTLgGCPCayEaGjyF6I42VBTTsdb+WuBAv9FRr46WyGg5Nj3hC11yDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:17.959494Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.04773","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a89153078517c6a09450998680df37c4516d28b60f4e5e06f05d1feb9f54533e","sha256:ab7ae8ddd3eeb0a2da273efb9ea1516d4b94adbd1d349603a790af61ecacd1f8"],"state_sha256":"de5a5e5d1610f30d44d53c0c6ad9d02df257c384131c9c45b6435922cf3a183a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l+FbS8gD1NbKeETFKiDXU+55D1HIOA8gowYw4IBbpd8YZ9afUwJJja/F+XBGOq9vlzA/TxvkjtcEQ77oo5iSDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T00:19:47.330930Z","bundle_sha256":"0be5c9fb8f0372d1a1425465af1fe759916704692e4e2ba7227a986b6cc89a23"}}