{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:KFI2LRT2EPYRMAO36IZNOOSMMQ","short_pith_number":"pith:KFI2LRT2","schema_version":"1.0","canonical_sha256":"5151a5c67a23f11601dbf232d73a4c640036d6bc37ef9befad6fb98425539fd9","source":{"kind":"arxiv","id":"1002.3833","version":2},"attestation_state":"computed","paper":{"title":"Orbits of non-elliptic disc automorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Daniel Su\\'arez, Eva A. Gallardo-Guti\\'errez, Pamela Gorkin","submitted_at":"2010-02-19T22:04:27Z","abstract_excerpt":"Motivated by the Invariant Subspace Problem, we describe explicitly the closed subspace $H^2$ generated by the limit points in the $H^2$ norm of the orbit of a thin Blaschke product $B$ under composition operators $C_\\phi$ induced by non-elliptic automorphisms. This description exhibits a surprising connection to model spaces. Finally, we give a constructive characterization of the $C_\\phi$-eigenfunctions in $H^p$ for $1\\le p\\le \\infty$."},"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":"1002.3833","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2010-02-19T22:04:27Z","cross_cats_sorted":[],"title_canon_sha256":"96c88a7d830b2f42f1f924d0688cb8542533c8c3decaac50f91349bd58b62d15","abstract_canon_sha256":"23d2c0898f54c9c12c616e97fcc6830396de3f9221f4d8eca2870b244f5662e8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:06:33.443812Z","signature_b64":"ssjUmhY9Gnh3r0jc5hxub0NwoTKwUJEVD5VWllLEBwJtYSA670qvdd8jsYhNUnmOaR6GaMuxPd+EZWs24G8RBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5151a5c67a23f11601dbf232d73a4c640036d6bc37ef9befad6fb98425539fd9","last_reissued_at":"2026-05-18T04:06:33.443130Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:06:33.443130Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Orbits of non-elliptic disc automorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Daniel Su\\'arez, Eva A. Gallardo-Guti\\'errez, Pamela Gorkin","submitted_at":"2010-02-19T22:04:27Z","abstract_excerpt":"Motivated by the Invariant Subspace Problem, we describe explicitly the closed subspace $H^2$ generated by the limit points in the $H^2$ norm of the orbit of a thin Blaschke product $B$ under composition operators $C_\\phi$ induced by non-elliptic automorphisms. This description exhibits a surprising connection to model spaces. Finally, we give a constructive characterization of the $C_\\phi$-eigenfunctions in $H^p$ for $1\\le p\\le \\infty$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.3833","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":"1002.3833","created_at":"2026-05-18T04:06:33.443230+00:00"},{"alias_kind":"arxiv_version","alias_value":"1002.3833v2","created_at":"2026-05-18T04:06:33.443230+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.3833","created_at":"2026-05-18T04:06:33.443230+00:00"},{"alias_kind":"pith_short_12","alias_value":"KFI2LRT2EPYR","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_16","alias_value":"KFI2LRT2EPYRMAO3","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_8","alias_value":"KFI2LRT2","created_at":"2026-05-18T12:26:09.077623+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/KFI2LRT2EPYRMAO36IZNOOSMMQ","json":"https://pith.science/pith/KFI2LRT2EPYRMAO36IZNOOSMMQ.json","graph_json":"https://pith.science/api/pith-number/KFI2LRT2EPYRMAO36IZNOOSMMQ/graph.json","events_json":"https://pith.science/api/pith-number/KFI2LRT2EPYRMAO36IZNOOSMMQ/events.json","paper":"https://pith.science/paper/KFI2LRT2"},"agent_actions":{"view_html":"https://pith.science/pith/KFI2LRT2EPYRMAO36IZNOOSMMQ","download_json":"https://pith.science/pith/KFI2LRT2EPYRMAO36IZNOOSMMQ.json","view_paper":"https://pith.science/paper/KFI2LRT2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1002.3833&json=true","fetch_graph":"https://pith.science/api/pith-number/KFI2LRT2EPYRMAO36IZNOOSMMQ/graph.json","fetch_events":"https://pith.science/api/pith-number/KFI2LRT2EPYRMAO36IZNOOSMMQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KFI2LRT2EPYRMAO36IZNOOSMMQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KFI2LRT2EPYRMAO36IZNOOSMMQ/action/storage_attestation","attest_author":"https://pith.science/pith/KFI2LRT2EPYRMAO36IZNOOSMMQ/action/author_attestation","sign_citation":"https://pith.science/pith/KFI2LRT2EPYRMAO36IZNOOSMMQ/action/citation_signature","submit_replication":"https://pith.science/pith/KFI2LRT2EPYRMAO36IZNOOSMMQ/action/replication_record"}},"created_at":"2026-05-18T04:06:33.443230+00:00","updated_at":"2026-05-18T04:06:33.443230+00:00"}