{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:IVZP44OMER2R5WDVF7PPBI7L57","short_pith_number":"pith:IVZP44OM","schema_version":"1.0","canonical_sha256":"4572fe71cc24751ed8752fdef0a3ebefe60b75b0095cb150ef91c7a0e087f671","source":{"kind":"arxiv","id":"1109.3975","version":1},"attestation_state":"computed","paper":{"title":"A new bound for the large sieve inequality with power moduli","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Karin Halupczok","submitted_at":"2011-09-19T09:06:25Z","abstract_excerpt":"We give a new bound for the large sieve inequality with power moduli q^k that is uniform in k. The proof uses a new theorem due to T. Wooley from his work on efficient congruencing."},"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":"1109.3975","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-09-19T09:06:25Z","cross_cats_sorted":[],"title_canon_sha256":"5dd7fb9d37d0d9410812761a7e4f1835f7bafa6c7e70dfc633a8c7a034d98c82","abstract_canon_sha256":"ba3f488e4617d59d0c407a814d668300a447cee1cd14c27eb5982370b630f257"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:01:26.084738Z","signature_b64":"e78G2FALIheLWymmumW/JyMSAuNoFZfBwkWZfq/14LCqM3z7javInMt/FYvUxCmVKZhudO4Fzwvbcg5dPIMyBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4572fe71cc24751ed8752fdef0a3ebefe60b75b0095cb150ef91c7a0e087f671","last_reissued_at":"2026-05-18T04:01:26.084069Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:01:26.084069Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A new bound for the large sieve inequality with power moduli","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Karin Halupczok","submitted_at":"2011-09-19T09:06:25Z","abstract_excerpt":"We give a new bound for the large sieve inequality with power moduli q^k that is uniform in k. The proof uses a new theorem due to T. Wooley from his work on efficient congruencing."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3975","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":"1109.3975","created_at":"2026-05-18T04:01:26.084166+00:00"},{"alias_kind":"arxiv_version","alias_value":"1109.3975v1","created_at":"2026-05-18T04:01:26.084166+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3975","created_at":"2026-05-18T04:01:26.084166+00:00"},{"alias_kind":"pith_short_12","alias_value":"IVZP44OMER2R","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_16","alias_value":"IVZP44OMER2R5WDV","created_at":"2026-05-18T12:26:32.869790+00:00"},{"alias_kind":"pith_short_8","alias_value":"IVZP44OM","created_at":"2026-05-18T12:26:32.869790+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/IVZP44OMER2R5WDVF7PPBI7L57","json":"https://pith.science/pith/IVZP44OMER2R5WDVF7PPBI7L57.json","graph_json":"https://pith.science/api/pith-number/IVZP44OMER2R5WDVF7PPBI7L57/graph.json","events_json":"https://pith.science/api/pith-number/IVZP44OMER2R5WDVF7PPBI7L57/events.json","paper":"https://pith.science/paper/IVZP44OM"},"agent_actions":{"view_html":"https://pith.science/pith/IVZP44OMER2R5WDVF7PPBI7L57","download_json":"https://pith.science/pith/IVZP44OMER2R5WDVF7PPBI7L57.json","view_paper":"https://pith.science/paper/IVZP44OM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1109.3975&json=true","fetch_graph":"https://pith.science/api/pith-number/IVZP44OMER2R5WDVF7PPBI7L57/graph.json","fetch_events":"https://pith.science/api/pith-number/IVZP44OMER2R5WDVF7PPBI7L57/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IVZP44OMER2R5WDVF7PPBI7L57/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IVZP44OMER2R5WDVF7PPBI7L57/action/storage_attestation","attest_author":"https://pith.science/pith/IVZP44OMER2R5WDVF7PPBI7L57/action/author_attestation","sign_citation":"https://pith.science/pith/IVZP44OMER2R5WDVF7PPBI7L57/action/citation_signature","submit_replication":"https://pith.science/pith/IVZP44OMER2R5WDVF7PPBI7L57/action/replication_record"}},"created_at":"2026-05-18T04:01:26.084166+00:00","updated_at":"2026-05-18T04:01:26.084166+00:00"}