{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:VNODAPP6YACZPWC44BL4DNDGIH","short_pith_number":"pith:VNODAPP6","schema_version":"1.0","canonical_sha256":"ab5c303dfec00597d85ce057c1b46641dc099767ec4ddd89d971c453c6e3044d","source":{"kind":"arxiv","id":"2605.29470","version":1},"attestation_state":"computed","paper":{"title":"The weighted large sieve through Parseval","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Olivier Ramar\\'e","submitted_at":"2026-05-28T07:02:12Z","abstract_excerpt":"We modify the approach to the arithmetical form of the large sieve by relying on the Parseval identity rather than on an approximate Bessel inequality and as a consequence, improve on the weighted large sieve inequality beyond what was heuristically accessible by the earlier approach. We also discuss the optimality of this approach."},"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":"2605.29470","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.NT","submitted_at":"2026-05-28T07:02:12Z","cross_cats_sorted":[],"title_canon_sha256":"dc8766aeace4d01627d2e4f88ea276a1bc25e8f943d775ac920eb15971dadfb2","abstract_canon_sha256":"d8c0d082deed1b15b6c404adc7e5f827282af4ecaf42bc203fc6a2c68423bc79"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-29T01:05:41.233407Z","signature_b64":"pbPD8ZNNJ+HtUJ06rNkjjuCxX74dOI18gZ4iOVi8YFBaFEEJlXFs2C1ZzC4eqMbhUO6WiyKvLlyUD94KwR6WAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab5c303dfec00597d85ce057c1b46641dc099767ec4ddd89d971c453c6e3044d","last_reissued_at":"2026-05-29T01:05:41.232743Z","signature_status":"signed_v1","first_computed_at":"2026-05-29T01:05:41.232743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The weighted large sieve through Parseval","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Olivier Ramar\\'e","submitted_at":"2026-05-28T07:02:12Z","abstract_excerpt":"We modify the approach to the arithmetical form of the large sieve by relying on the Parseval identity rather than on an approximate Bessel inequality and as a consequence, improve on the weighted large sieve inequality beyond what was heuristically accessible by the earlier approach. We also discuss the optimality of this approach."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.29470","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.29470/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2605.29470","created_at":"2026-05-29T01:05:41.232850+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.29470v1","created_at":"2026-05-29T01:05:41.232850+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.29470","created_at":"2026-05-29T01:05:41.232850+00:00"},{"alias_kind":"pith_short_12","alias_value":"VNODAPP6YACZ","created_at":"2026-05-29T01:05:41.232850+00:00"},{"alias_kind":"pith_short_16","alias_value":"VNODAPP6YACZPWC4","created_at":"2026-05-29T01:05:41.232850+00:00"},{"alias_kind":"pith_short_8","alias_value":"VNODAPP6","created_at":"2026-05-29T01:05:41.232850+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/VNODAPP6YACZPWC44BL4DNDGIH","json":"https://pith.science/pith/VNODAPP6YACZPWC44BL4DNDGIH.json","graph_json":"https://pith.science/api/pith-number/VNODAPP6YACZPWC44BL4DNDGIH/graph.json","events_json":"https://pith.science/api/pith-number/VNODAPP6YACZPWC44BL4DNDGIH/events.json","paper":"https://pith.science/paper/VNODAPP6"},"agent_actions":{"view_html":"https://pith.science/pith/VNODAPP6YACZPWC44BL4DNDGIH","download_json":"https://pith.science/pith/VNODAPP6YACZPWC44BL4DNDGIH.json","view_paper":"https://pith.science/paper/VNODAPP6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.29470&json=true","fetch_graph":"https://pith.science/api/pith-number/VNODAPP6YACZPWC44BL4DNDGIH/graph.json","fetch_events":"https://pith.science/api/pith-number/VNODAPP6YACZPWC44BL4DNDGIH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VNODAPP6YACZPWC44BL4DNDGIH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VNODAPP6YACZPWC44BL4DNDGIH/action/storage_attestation","attest_author":"https://pith.science/pith/VNODAPP6YACZPWC44BL4DNDGIH/action/author_attestation","sign_citation":"https://pith.science/pith/VNODAPP6YACZPWC44BL4DNDGIH/action/citation_signature","submit_replication":"https://pith.science/pith/VNODAPP6YACZPWC44BL4DNDGIH/action/replication_record"}},"created_at":"2026-05-29T01:05:41.232850+00:00","updated_at":"2026-05-29T01:05:41.232850+00:00"}