{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:3TAADHNAT5VYWETA5NHNBHVDAH","short_pith_number":"pith:3TAADHNA","schema_version":"1.0","canonical_sha256":"dcc0019da09f6b8b1260eb4ed09ea301d54f3177423a9cfbbc58c6bd1c63bbc6","source":{"kind":"arxiv","id":"2010.00812","version":1},"attestation_state":"computed","paper":{"title":"A variable coefficient multi-frequency lemma","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Pavel Zorin-Kranich, Shaoming Guo","submitted_at":"2020-10-02T07:07:26Z","abstract_excerpt":"We show a variable coefficient version of Bourgain's multi-frequency lemma. It can be used to obtain major arc estimates for a discrete Stein--Wainger type operator considered by Krause arXiv:1803.09431 and Roos arXiv:1907.00405."},"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":"2010.00812","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2020-10-02T07:07:26Z","cross_cats_sorted":[],"title_canon_sha256":"62dd79c236c7142efe528daf92ff4acebc16df7e2b392218a569295147a39174","abstract_canon_sha256":"4280696ae8326377aa4eed46313ae25e3cba52d06419b039be07294485d0849c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:39:47.786952Z","signature_b64":"VI7sYW5q8Dxyrls3VIodBjgeKAqoV2udphXI9672jel/s8F9lZdxsEfKuEE4jqzCxbd6Czp684S8gvQfwyldDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dcc0019da09f6b8b1260eb4ed09ea301d54f3177423a9cfbbc58c6bd1c63bbc6","last_reissued_at":"2026-07-05T01:39:47.786568Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:39:47.786568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A variable coefficient multi-frequency lemma","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Pavel Zorin-Kranich, Shaoming Guo","submitted_at":"2020-10-02T07:07:26Z","abstract_excerpt":"We show a variable coefficient version of Bourgain's multi-frequency lemma. It can be used to obtain major arc estimates for a discrete Stein--Wainger type operator considered by Krause arXiv:1803.09431 and Roos arXiv:1907.00405."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.00812","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/2010.00812/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":"2010.00812","created_at":"2026-07-05T01:39:47.786632+00:00"},{"alias_kind":"arxiv_version","alias_value":"2010.00812v1","created_at":"2026-07-05T01:39:47.786632+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.00812","created_at":"2026-07-05T01:39:47.786632+00:00"},{"alias_kind":"pith_short_12","alias_value":"3TAADHNAT5VY","created_at":"2026-07-05T01:39:47.786632+00:00"},{"alias_kind":"pith_short_16","alias_value":"3TAADHNAT5VYWETA","created_at":"2026-07-05T01:39:47.786632+00:00"},{"alias_kind":"pith_short_8","alias_value":"3TAADHNA","created_at":"2026-07-05T01:39:47.786632+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/3TAADHNAT5VYWETA5NHNBHVDAH","json":"https://pith.science/pith/3TAADHNAT5VYWETA5NHNBHVDAH.json","graph_json":"https://pith.science/api/pith-number/3TAADHNAT5VYWETA5NHNBHVDAH/graph.json","events_json":"https://pith.science/api/pith-number/3TAADHNAT5VYWETA5NHNBHVDAH/events.json","paper":"https://pith.science/paper/3TAADHNA"},"agent_actions":{"view_html":"https://pith.science/pith/3TAADHNAT5VYWETA5NHNBHVDAH","download_json":"https://pith.science/pith/3TAADHNAT5VYWETA5NHNBHVDAH.json","view_paper":"https://pith.science/paper/3TAADHNA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2010.00812&json=true","fetch_graph":"https://pith.science/api/pith-number/3TAADHNAT5VYWETA5NHNBHVDAH/graph.json","fetch_events":"https://pith.science/api/pith-number/3TAADHNAT5VYWETA5NHNBHVDAH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3TAADHNAT5VYWETA5NHNBHVDAH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3TAADHNAT5VYWETA5NHNBHVDAH/action/storage_attestation","attest_author":"https://pith.science/pith/3TAADHNAT5VYWETA5NHNBHVDAH/action/author_attestation","sign_citation":"https://pith.science/pith/3TAADHNAT5VYWETA5NHNBHVDAH/action/citation_signature","submit_replication":"https://pith.science/pith/3TAADHNAT5VYWETA5NHNBHVDAH/action/replication_record"}},"created_at":"2026-07-05T01:39:47.786632+00:00","updated_at":"2026-07-05T01:39:47.786632+00:00"}