{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:PRW4JEUB6ERXPKLJ2ADM266IY7","short_pith_number":"pith:PRW4JEUB","schema_version":"1.0","canonical_sha256":"7c6dc49281f12377a969d006cd7bc8c7d7972350076a0a75d92550b277237863","source":{"kind":"arxiv","id":"1904.06992","version":1},"attestation_state":"computed","paper":{"title":"Compactification, and beyond, of composition operators on Hardy spaces by weights","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Daniel Li (LML), Herv\\'e Queff\\'elec (LPP), Luis Rodriguez-Piazza, Pascal Lef\\`evre (LML)","submitted_at":"2019-04-15T12:23:06Z","abstract_excerpt":"We study when multiplication by a weight can turn a non-compact composition operator on H 2 into a compact operator, and when it can be in Schatten classes. The q-summing case in H p is considered. We also study when this multiplication can turn a compact composition operator into a non-compact one. MSC 2010 primary: 47B33 ; secondary: 46B28"},"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":"1904.06992","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-04-15T12:23:06Z","cross_cats_sorted":[],"title_canon_sha256":"1bf7baf61b06b0ca1d091c23cc1e75f91496dfe1ada3000e2ef5864431acc170","abstract_canon_sha256":"ac19aa494474fc3478c4ad6386e03640e006ed7c23f3de83111d6b760662d068"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:35.545044Z","signature_b64":"dgjH2uFZ+3I5LisUTLS74U4cYgwiKzZprTiVPofC1wj+cos4SJ2dnEQNFMwjn6rw3C+MRla4RXDFjCfF4eXiAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c6dc49281f12377a969d006cd7bc8c7d7972350076a0a75d92550b277237863","last_reissued_at":"2026-05-17T23:48:35.544493Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:35.544493Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Compactification, and beyond, of composition operators on Hardy spaces by weights","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Daniel Li (LML), Herv\\'e Queff\\'elec (LPP), Luis Rodriguez-Piazza, Pascal Lef\\`evre (LML)","submitted_at":"2019-04-15T12:23:06Z","abstract_excerpt":"We study when multiplication by a weight can turn a non-compact composition operator on H 2 into a compact operator, and when it can be in Schatten classes. The q-summing case in H p is considered. We also study when this multiplication can turn a compact composition operator into a non-compact one. MSC 2010 primary: 47B33 ; secondary: 46B28"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.06992","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1904.06992","created_at":"2026-05-17T23:48:35.544578+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.06992v1","created_at":"2026-05-17T23:48:35.544578+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.06992","created_at":"2026-05-17T23:48:35.544578+00:00"},{"alias_kind":"pith_short_12","alias_value":"PRW4JEUB6ERX","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_16","alias_value":"PRW4JEUB6ERXPKLJ","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_8","alias_value":"PRW4JEUB","created_at":"2026-05-18T12:33:24.271573+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/PRW4JEUB6ERXPKLJ2ADM266IY7","json":"https://pith.science/pith/PRW4JEUB6ERXPKLJ2ADM266IY7.json","graph_json":"https://pith.science/api/pith-number/PRW4JEUB6ERXPKLJ2ADM266IY7/graph.json","events_json":"https://pith.science/api/pith-number/PRW4JEUB6ERXPKLJ2ADM266IY7/events.json","paper":"https://pith.science/paper/PRW4JEUB"},"agent_actions":{"view_html":"https://pith.science/pith/PRW4JEUB6ERXPKLJ2ADM266IY7","download_json":"https://pith.science/pith/PRW4JEUB6ERXPKLJ2ADM266IY7.json","view_paper":"https://pith.science/paper/PRW4JEUB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.06992&json=true","fetch_graph":"https://pith.science/api/pith-number/PRW4JEUB6ERXPKLJ2ADM266IY7/graph.json","fetch_events":"https://pith.science/api/pith-number/PRW4JEUB6ERXPKLJ2ADM266IY7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PRW4JEUB6ERXPKLJ2ADM266IY7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PRW4JEUB6ERXPKLJ2ADM266IY7/action/storage_attestation","attest_author":"https://pith.science/pith/PRW4JEUB6ERXPKLJ2ADM266IY7/action/author_attestation","sign_citation":"https://pith.science/pith/PRW4JEUB6ERXPKLJ2ADM266IY7/action/citation_signature","submit_replication":"https://pith.science/pith/PRW4JEUB6ERXPKLJ2ADM266IY7/action/replication_record"}},"created_at":"2026-05-17T23:48:35.544578+00:00","updated_at":"2026-05-17T23:48:35.544578+00:00"}