{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:DLGE7PPFM6S7E7SFE3XDK6PT63","short_pith_number":"pith:DLGE7PPF","schema_version":"1.0","canonical_sha256":"1acc4fbde567a5f27e4526ee3579f3f6f1eb227415a97cda7fc4600f16c8bd87","source":{"kind":"arxiv","id":"1907.01146","version":2},"attestation_state":"computed","paper":{"title":"Generalized hyperbolicity for linear operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.DS","authors_text":"B. Gollobit, E. Pujals, P. Cirilo","submitted_at":"2019-07-02T03:30:46Z","abstract_excerpt":"It is introduced an open class of linear operators on Banach and Hilbert spaces such that their non-wandering set is an infinite dimensional topologically mixing subspace. In certain cases, the non-wandering set coincides with the whole space."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1907.01146","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2019-07-02T03:30:46Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"f3402fe307f899bf4ed6e7cdd3ac24c014446977a6d628337b4f044ff25d349f","abstract_canon_sha256":"8de0a90a889103396165cbe64ee9073426b17e555243f8f5d48060c4ecf4e887"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:29.959862Z","signature_b64":"mxHkcukA2HIDxnQOiP621kA0uAZ91wtBRTBiGq9lk8xWKiLIIfVH6m+wRANYL/JQFIBMFK2vqsqDfJLCMLbpAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1acc4fbde567a5f27e4526ee3579f3f6f1eb227415a97cda7fc4600f16c8bd87","last_reissued_at":"2026-05-17T23:39:29.959278Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:29.959278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalized hyperbolicity for linear operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.DS","authors_text":"B. Gollobit, E. Pujals, P. Cirilo","submitted_at":"2019-07-02T03:30:46Z","abstract_excerpt":"It is introduced an open class of linear operators on Banach and Hilbert spaces such that their non-wandering set is an infinite dimensional topologically mixing subspace. In certain cases, the non-wandering set coincides with the whole space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.01146","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1907.01146","created_at":"2026-05-17T23:39:29.959386+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.01146v2","created_at":"2026-05-17T23:39:29.959386+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.01146","created_at":"2026-05-17T23:39:29.959386+00:00"},{"alias_kind":"pith_short_12","alias_value":"DLGE7PPFM6S7","created_at":"2026-05-18T12:33:15.570797+00:00"},{"alias_kind":"pith_short_16","alias_value":"DLGE7PPFM6S7E7SF","created_at":"2026-05-18T12:33:15.570797+00:00"},{"alias_kind":"pith_short_8","alias_value":"DLGE7PPF","created_at":"2026-05-18T12:33:15.570797+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DLGE7PPFM6S7E7SFE3XDK6PT63","json":"https://pith.science/pith/DLGE7PPFM6S7E7SFE3XDK6PT63.json","graph_json":"https://pith.science/api/pith-number/DLGE7PPFM6S7E7SFE3XDK6PT63/graph.json","events_json":"https://pith.science/api/pith-number/DLGE7PPFM6S7E7SFE3XDK6PT63/events.json","paper":"https://pith.science/paper/DLGE7PPF"},"agent_actions":{"view_html":"https://pith.science/pith/DLGE7PPFM6S7E7SFE3XDK6PT63","download_json":"https://pith.science/pith/DLGE7PPFM6S7E7SFE3XDK6PT63.json","view_paper":"https://pith.science/paper/DLGE7PPF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.01146&json=true","fetch_graph":"https://pith.science/api/pith-number/DLGE7PPFM6S7E7SFE3XDK6PT63/graph.json","fetch_events":"https://pith.science/api/pith-number/DLGE7PPFM6S7E7SFE3XDK6PT63/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DLGE7PPFM6S7E7SFE3XDK6PT63/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DLGE7PPFM6S7E7SFE3XDK6PT63/action/storage_attestation","attest_author":"https://pith.science/pith/DLGE7PPFM6S7E7SFE3XDK6PT63/action/author_attestation","sign_citation":"https://pith.science/pith/DLGE7PPFM6S7E7SFE3XDK6PT63/action/citation_signature","submit_replication":"https://pith.science/pith/DLGE7PPFM6S7E7SFE3XDK6PT63/action/replication_record"}},"created_at":"2026-05-17T23:39:29.959386+00:00","updated_at":"2026-05-17T23:39:29.959386+00:00"}