{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:ANALNCC24IQZTIIK6FNKRTEXEU","short_pith_number":"pith:ANALNCC2","schema_version":"1.0","canonical_sha256":"0340b6885ae22199a10af15aa8cc97251af230e2528219afd496f0364c378d22","source":{"kind":"arxiv","id":"1302.1995","version":3},"attestation_state":"computed","paper":{"title":"On the Feichtinger Conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"P. Gavruta","submitted_at":"2013-02-08T11:20:36Z","abstract_excerpt":"We prove the Feichtinger Conjecture for a class of Bessel sequences of unit norm vectors in a Hilbert space. Also, we prove that every Bessel sequence of unit vectors in a Hilbert space can be partitioned into finitely many uniformly separated sequences."},"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":"1302.1995","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-02-08T11:20:36Z","cross_cats_sorted":[],"title_canon_sha256":"9c4d0a0da9ed06b039d8ef4408cff3e7dfeb21e734ce4d9fa137426ed9fe9649","abstract_canon_sha256":"019d5b308b1b4d495f922d6595c66e77dcbcd2ad9ac5afd82806b36eb9bb3ec4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:32:04.766442Z","signature_b64":"b4LW+iSnFt3woMftK0qytxEIB8zL9L+/O8mKXujYXsz7v7iUzG1v/NJCjhvtr+bMzw0OSR3C+6r2AZ6gAyO0Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0340b6885ae22199a10af15aa8cc97251af230e2528219afd496f0364c378d22","last_reissued_at":"2026-05-18T03:32:04.765904Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:32:04.765904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Feichtinger Conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"P. Gavruta","submitted_at":"2013-02-08T11:20:36Z","abstract_excerpt":"We prove the Feichtinger Conjecture for a class of Bessel sequences of unit norm vectors in a Hilbert space. Also, we prove that every Bessel sequence of unit vectors in a Hilbert space can be partitioned into finitely many uniformly separated sequences."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.1995","kind":"arxiv","version":3},"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":"1302.1995","created_at":"2026-05-18T03:32:04.765985+00:00"},{"alias_kind":"arxiv_version","alias_value":"1302.1995v3","created_at":"2026-05-18T03:32:04.765985+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.1995","created_at":"2026-05-18T03:32:04.765985+00:00"},{"alias_kind":"pith_short_12","alias_value":"ANALNCC24IQZ","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_16","alias_value":"ANALNCC24IQZTIIK","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_8","alias_value":"ANALNCC2","created_at":"2026-05-18T12:27:38.830355+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/ANALNCC24IQZTIIK6FNKRTEXEU","json":"https://pith.science/pith/ANALNCC24IQZTIIK6FNKRTEXEU.json","graph_json":"https://pith.science/api/pith-number/ANALNCC24IQZTIIK6FNKRTEXEU/graph.json","events_json":"https://pith.science/api/pith-number/ANALNCC24IQZTIIK6FNKRTEXEU/events.json","paper":"https://pith.science/paper/ANALNCC2"},"agent_actions":{"view_html":"https://pith.science/pith/ANALNCC24IQZTIIK6FNKRTEXEU","download_json":"https://pith.science/pith/ANALNCC24IQZTIIK6FNKRTEXEU.json","view_paper":"https://pith.science/paper/ANALNCC2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1302.1995&json=true","fetch_graph":"https://pith.science/api/pith-number/ANALNCC24IQZTIIK6FNKRTEXEU/graph.json","fetch_events":"https://pith.science/api/pith-number/ANALNCC24IQZTIIK6FNKRTEXEU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ANALNCC24IQZTIIK6FNKRTEXEU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ANALNCC24IQZTIIK6FNKRTEXEU/action/storage_attestation","attest_author":"https://pith.science/pith/ANALNCC24IQZTIIK6FNKRTEXEU/action/author_attestation","sign_citation":"https://pith.science/pith/ANALNCC24IQZTIIK6FNKRTEXEU/action/citation_signature","submit_replication":"https://pith.science/pith/ANALNCC24IQZTIIK6FNKRTEXEU/action/replication_record"}},"created_at":"2026-05-18T03:32:04.765985+00:00","updated_at":"2026-05-18T03:32:04.765985+00:00"}