{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:QV4LZHVW6BFL27JGB42KQBHLVR","short_pith_number":"pith:QV4LZHVW","schema_version":"1.0","canonical_sha256":"8578bc9eb6f04abd7d260f34a804ebac45c62013ea73bb0894b90e9d723fe8a6","source":{"kind":"arxiv","id":"1812.00150","version":1},"attestation_state":"computed","paper":{"title":"Controlled weaving frames in Hilbert spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Asghar Rahimi, E. Osgooei, Hossien Dehghan, Reza Rezapour","submitted_at":"2018-12-01T05:46:48Z","abstract_excerpt":"In this paper, we first introduce the notion of controlled weaving K-g-frames in Hilbert spaces. Then, we present sufficient conditions for controlled weaving K-g-frames in separable Hilbert spaces. Also, a characterization of controlled weaving K-g-frames is given in terms of an operator. Finally, we show that if bounds of frames associated with atomic spaces are positively confined, then controlled K-g-woven frames gives ordinary weaving K-frames and vice-versa."},"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":"1812.00150","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-12-01T05:46:48Z","cross_cats_sorted":[],"title_canon_sha256":"a5d1bf5d48a178b7214cb83219a380d260729c499f0a1f9f4bb6dc1a7f79d9dc","abstract_canon_sha256":"0398e527f8f322ce9c0f843b5d136eb487d544030f7c4cd685fe430333f3b2fa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:27.106683Z","signature_b64":"fVWNBvZe6hmiu8YztqXKK1j7oiwu92j5l6bRGrLJNXPfhjGlcGdwS6LJCoapVJuzkIrdOd0G0dYFCkRf7dHvCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8578bc9eb6f04abd7d260f34a804ebac45c62013ea73bb0894b90e9d723fe8a6","last_reissued_at":"2026-05-17T23:59:27.106172Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:27.106172Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Controlled weaving frames in Hilbert spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Asghar Rahimi, E. Osgooei, Hossien Dehghan, Reza Rezapour","submitted_at":"2018-12-01T05:46:48Z","abstract_excerpt":"In this paper, we first introduce the notion of controlled weaving K-g-frames in Hilbert spaces. Then, we present sufficient conditions for controlled weaving K-g-frames in separable Hilbert spaces. Also, a characterization of controlled weaving K-g-frames is given in terms of an operator. Finally, we show that if bounds of frames associated with atomic spaces are positively confined, then controlled K-g-woven frames gives ordinary weaving K-frames and vice-versa."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.00150","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":"1812.00150","created_at":"2026-05-17T23:59:27.106237+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.00150v1","created_at":"2026-05-17T23:59:27.106237+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.00150","created_at":"2026-05-17T23:59:27.106237+00:00"},{"alias_kind":"pith_short_12","alias_value":"QV4LZHVW6BFL","created_at":"2026-05-18T12:32:46.962924+00:00"},{"alias_kind":"pith_short_16","alias_value":"QV4LZHVW6BFL27JG","created_at":"2026-05-18T12:32:46.962924+00:00"},{"alias_kind":"pith_short_8","alias_value":"QV4LZHVW","created_at":"2026-05-18T12:32:46.962924+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/QV4LZHVW6BFL27JGB42KQBHLVR","json":"https://pith.science/pith/QV4LZHVW6BFL27JGB42KQBHLVR.json","graph_json":"https://pith.science/api/pith-number/QV4LZHVW6BFL27JGB42KQBHLVR/graph.json","events_json":"https://pith.science/api/pith-number/QV4LZHVW6BFL27JGB42KQBHLVR/events.json","paper":"https://pith.science/paper/QV4LZHVW"},"agent_actions":{"view_html":"https://pith.science/pith/QV4LZHVW6BFL27JGB42KQBHLVR","download_json":"https://pith.science/pith/QV4LZHVW6BFL27JGB42KQBHLVR.json","view_paper":"https://pith.science/paper/QV4LZHVW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.00150&json=true","fetch_graph":"https://pith.science/api/pith-number/QV4LZHVW6BFL27JGB42KQBHLVR/graph.json","fetch_events":"https://pith.science/api/pith-number/QV4LZHVW6BFL27JGB42KQBHLVR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QV4LZHVW6BFL27JGB42KQBHLVR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QV4LZHVW6BFL27JGB42KQBHLVR/action/storage_attestation","attest_author":"https://pith.science/pith/QV4LZHVW6BFL27JGB42KQBHLVR/action/author_attestation","sign_citation":"https://pith.science/pith/QV4LZHVW6BFL27JGB42KQBHLVR/action/citation_signature","submit_replication":"https://pith.science/pith/QV4LZHVW6BFL27JGB42KQBHLVR/action/replication_record"}},"created_at":"2026-05-17T23:59:27.106237+00:00","updated_at":"2026-05-17T23:59:27.106237+00:00"}