{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:3W5FXJYBRZMTTUIJQ3MIOA5FTP","short_pith_number":"pith:3W5FXJYB","schema_version":"1.0","canonical_sha256":"ddba5ba7018e5939d10986d88703a59bd19417af6a6d1ebdb8607f8d1d744282","source":{"kind":"arxiv","id":"1704.02376","version":2},"attestation_state":"computed","paper":{"title":"On Some Variants of the Gauss Circle Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"David Lowry-Duda","submitted_at":"2017-04-07T21:11:48Z","abstract_excerpt":"The Gauss Circle Problem concerns finding asymptotics for the number of lattice point lying inside a circle in terms of the radius of the circle. The heuristic that the number of points is very nearly the area of the circle is surprisingly accurate. In this work, we describe two variants of the Gauss Circle problem that exhibit similar characteristics.\n  The first variant concerns sums of Fourier coefficients of $\\text{GL}(2)$ cusp forms. These sums behave very similarly to the error term in the Gauss Circle problem. We introduce new Dirichlet series with coefficients that are squares of parti"},"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":"1704.02376","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-04-07T21:11:48Z","cross_cats_sorted":[],"title_canon_sha256":"f622b2bc29cf09a33681e1143c70409320cf551d04710a970b24035a9d9cbbb0","abstract_canon_sha256":"563f6729d6d509deb7bd8df3b1e80e6eacda665129bee9c9b9b828321bab5636"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:06.017151Z","signature_b64":"8pLIyTIEzC/FYjHqVl0KDfiPh+NKwWcvyZqKE33i/baborhrlW2KgC3Yqd4Or5WnRDhWNiLpqIOwz2xZhskECw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ddba5ba7018e5939d10986d88703a59bd19417af6a6d1ebdb8607f8d1d744282","last_reissued_at":"2026-05-18T00:45:06.016687Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:06.016687Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Some Variants of the Gauss Circle Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"David Lowry-Duda","submitted_at":"2017-04-07T21:11:48Z","abstract_excerpt":"The Gauss Circle Problem concerns finding asymptotics for the number of lattice point lying inside a circle in terms of the radius of the circle. The heuristic that the number of points is very nearly the area of the circle is surprisingly accurate. In this work, we describe two variants of the Gauss Circle problem that exhibit similar characteristics.\n  The first variant concerns sums of Fourier coefficients of $\\text{GL}(2)$ cusp forms. These sums behave very similarly to the error term in the Gauss Circle problem. We introduce new Dirichlet series with coefficients that are squares of parti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.02376","kind":"arxiv","version":2},"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":"1704.02376","created_at":"2026-05-18T00:45:06.016752+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.02376v2","created_at":"2026-05-18T00:45:06.016752+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.02376","created_at":"2026-05-18T00:45:06.016752+00:00"},{"alias_kind":"pith_short_12","alias_value":"3W5FXJYBRZMT","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_16","alias_value":"3W5FXJYBRZMTTUIJ","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_8","alias_value":"3W5FXJYB","created_at":"2026-05-18T12:30:58.224056+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/3W5FXJYBRZMTTUIJQ3MIOA5FTP","json":"https://pith.science/pith/3W5FXJYBRZMTTUIJQ3MIOA5FTP.json","graph_json":"https://pith.science/api/pith-number/3W5FXJYBRZMTTUIJQ3MIOA5FTP/graph.json","events_json":"https://pith.science/api/pith-number/3W5FXJYBRZMTTUIJQ3MIOA5FTP/events.json","paper":"https://pith.science/paper/3W5FXJYB"},"agent_actions":{"view_html":"https://pith.science/pith/3W5FXJYBRZMTTUIJQ3MIOA5FTP","download_json":"https://pith.science/pith/3W5FXJYBRZMTTUIJQ3MIOA5FTP.json","view_paper":"https://pith.science/paper/3W5FXJYB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.02376&json=true","fetch_graph":"https://pith.science/api/pith-number/3W5FXJYBRZMTTUIJQ3MIOA5FTP/graph.json","fetch_events":"https://pith.science/api/pith-number/3W5FXJYBRZMTTUIJQ3MIOA5FTP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3W5FXJYBRZMTTUIJQ3MIOA5FTP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3W5FXJYBRZMTTUIJQ3MIOA5FTP/action/storage_attestation","attest_author":"https://pith.science/pith/3W5FXJYBRZMTTUIJQ3MIOA5FTP/action/author_attestation","sign_citation":"https://pith.science/pith/3W5FXJYBRZMTTUIJQ3MIOA5FTP/action/citation_signature","submit_replication":"https://pith.science/pith/3W5FXJYBRZMTTUIJQ3MIOA5FTP/action/replication_record"}},"created_at":"2026-05-18T00:45:06.016752+00:00","updated_at":"2026-05-18T00:45:06.016752+00:00"}