{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:A7JEBRBKF7YEJAMJDSIPU4CONB","short_pith_number":"pith:A7JEBRBK","schema_version":"1.0","canonical_sha256":"07d240c42a2ff04481891c90fa704e68499ff841bf29030d52babbffbfaceb72","source":{"kind":"arxiv","id":"1804.02997","version":1},"attestation_state":"computed","paper":{"title":"Regular generalized sampling in T-invariant subspaces of a Hilbert space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Antonio G. Garc\\'ia, Gerardo P\\'erez-Villal\\'on, Mar\\'ia J. Mu\\~noz-Bouzo","submitted_at":"2018-04-09T14:09:02Z","abstract_excerpt":"A regular generalized sampling theory in some structured T-invariant subspaces of a Hilbert space H, where T denotes a bounded invertible operator in H, is established in this paper. This is done by walking through the most important cases which generalize the usual sampling settings."},"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":"1804.02997","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-04-09T14:09:02Z","cross_cats_sorted":[],"title_canon_sha256":"81ac8d982ae41226ecde7b04000c7c4141354441113d22b0b13a73733da13138","abstract_canon_sha256":"6d9eb5ef4eed4225627a732c1c7c1c325e941d614ef2f89a3c99a2f9d47f5546"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:57.701879Z","signature_b64":"mObW4zZfHK/HRWWeiTnOlRXPK0eRXTNMfVX3a0X9496yiG67dB6fnoHJxo9r+nfhTaSDtAP5IbEe415xDFE9Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07d240c42a2ff04481891c90fa704e68499ff841bf29030d52babbffbfaceb72","last_reissued_at":"2026-05-18T00:18:57.701356Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:57.701356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Regular generalized sampling in T-invariant subspaces of a Hilbert space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Antonio G. Garc\\'ia, Gerardo P\\'erez-Villal\\'on, Mar\\'ia J. Mu\\~noz-Bouzo","submitted_at":"2018-04-09T14:09:02Z","abstract_excerpt":"A regular generalized sampling theory in some structured T-invariant subspaces of a Hilbert space H, where T denotes a bounded invertible operator in H, is established in this paper. This is done by walking through the most important cases which generalize the usual sampling settings."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.02997","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":"1804.02997","created_at":"2026-05-18T00:18:57.701437+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.02997v1","created_at":"2026-05-18T00:18:57.701437+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.02997","created_at":"2026-05-18T00:18:57.701437+00:00"},{"alias_kind":"pith_short_12","alias_value":"A7JEBRBKF7YE","created_at":"2026-05-18T12:32:13.499390+00:00"},{"alias_kind":"pith_short_16","alias_value":"A7JEBRBKF7YEJAMJ","created_at":"2026-05-18T12:32:13.499390+00:00"},{"alias_kind":"pith_short_8","alias_value":"A7JEBRBK","created_at":"2026-05-18T12:32:13.499390+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/A7JEBRBKF7YEJAMJDSIPU4CONB","json":"https://pith.science/pith/A7JEBRBKF7YEJAMJDSIPU4CONB.json","graph_json":"https://pith.science/api/pith-number/A7JEBRBKF7YEJAMJDSIPU4CONB/graph.json","events_json":"https://pith.science/api/pith-number/A7JEBRBKF7YEJAMJDSIPU4CONB/events.json","paper":"https://pith.science/paper/A7JEBRBK"},"agent_actions":{"view_html":"https://pith.science/pith/A7JEBRBKF7YEJAMJDSIPU4CONB","download_json":"https://pith.science/pith/A7JEBRBKF7YEJAMJDSIPU4CONB.json","view_paper":"https://pith.science/paper/A7JEBRBK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.02997&json=true","fetch_graph":"https://pith.science/api/pith-number/A7JEBRBKF7YEJAMJDSIPU4CONB/graph.json","fetch_events":"https://pith.science/api/pith-number/A7JEBRBKF7YEJAMJDSIPU4CONB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A7JEBRBKF7YEJAMJDSIPU4CONB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A7JEBRBKF7YEJAMJDSIPU4CONB/action/storage_attestation","attest_author":"https://pith.science/pith/A7JEBRBKF7YEJAMJDSIPU4CONB/action/author_attestation","sign_citation":"https://pith.science/pith/A7JEBRBKF7YEJAMJDSIPU4CONB/action/citation_signature","submit_replication":"https://pith.science/pith/A7JEBRBKF7YEJAMJDSIPU4CONB/action/replication_record"}},"created_at":"2026-05-18T00:18:57.701437+00:00","updated_at":"2026-05-18T00:18:57.701437+00:00"}