{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:TD3QSRKR5VSAFQKZLKLBQO7AYP","short_pith_number":"pith:TD3QSRKR","schema_version":"1.0","canonical_sha256":"98f7094551ed6402c1595a96183be0c3fe3fb25c32280dca8f9f5c0d52c9bd0c","source":{"kind":"arxiv","id":"1803.10559","version":2},"attestation_state":"computed","paper":{"title":"Bounded remainder sets for rotations on the adelic torus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.DS","authors_text":"Alan Haynes, Henna Koivusalo, Joanna Furno","submitted_at":"2018-03-28T12:35:17Z","abstract_excerpt":"In this paper we give an explicit construction of bounded remainder sets of all possible volumes, for any irrational rotation on the adelic torus $\\mathbb A/\\mathbb Q$. Our construction involves ideas from dynamical systems and harmonic analysis on the adeles, as well as a geometric argument which originated in the study of deformation properties of mathematical quasicrystals."},"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":"1803.10559","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-03-28T12:35:17Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"7c7e1d4067697e5ed42078a3e6f8c5248813d3a855b16632e8954b455a9f954a","abstract_canon_sha256":"b30d7716893756f2f9373c429719331d4f12077242c3213a0eb6acdc900e1293"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:52.970932Z","signature_b64":"1HL5QUYegTr7SIz7jkzbXiUy7FnDX01jV/ImE+qRbwGuY7gR74ev1KcyYOABAy+u3So4ZpPLZw+KHqjgb2WvAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98f7094551ed6402c1595a96183be0c3fe3fb25c32280dca8f9f5c0d52c9bd0c","last_reissued_at":"2026-05-17T23:49:52.970582Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:52.970582Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bounded remainder sets for rotations on the adelic torus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.DS","authors_text":"Alan Haynes, Henna Koivusalo, Joanna Furno","submitted_at":"2018-03-28T12:35:17Z","abstract_excerpt":"In this paper we give an explicit construction of bounded remainder sets of all possible volumes, for any irrational rotation on the adelic torus $\\mathbb A/\\mathbb Q$. Our construction involves ideas from dynamical systems and harmonic analysis on the adeles, as well as a geometric argument which originated in the study of deformation properties of mathematical quasicrystals."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.10559","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":"1803.10559","created_at":"2026-05-17T23:49:52.970638+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.10559v2","created_at":"2026-05-17T23:49:52.970638+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.10559","created_at":"2026-05-17T23:49:52.970638+00:00"},{"alias_kind":"pith_short_12","alias_value":"TD3QSRKR5VSA","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_16","alias_value":"TD3QSRKR5VSAFQKZ","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_8","alias_value":"TD3QSRKR","created_at":"2026-05-18T12:32:53.628368+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/TD3QSRKR5VSAFQKZLKLBQO7AYP","json":"https://pith.science/pith/TD3QSRKR5VSAFQKZLKLBQO7AYP.json","graph_json":"https://pith.science/api/pith-number/TD3QSRKR5VSAFQKZLKLBQO7AYP/graph.json","events_json":"https://pith.science/api/pith-number/TD3QSRKR5VSAFQKZLKLBQO7AYP/events.json","paper":"https://pith.science/paper/TD3QSRKR"},"agent_actions":{"view_html":"https://pith.science/pith/TD3QSRKR5VSAFQKZLKLBQO7AYP","download_json":"https://pith.science/pith/TD3QSRKR5VSAFQKZLKLBQO7AYP.json","view_paper":"https://pith.science/paper/TD3QSRKR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.10559&json=true","fetch_graph":"https://pith.science/api/pith-number/TD3QSRKR5VSAFQKZLKLBQO7AYP/graph.json","fetch_events":"https://pith.science/api/pith-number/TD3QSRKR5VSAFQKZLKLBQO7AYP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TD3QSRKR5VSAFQKZLKLBQO7AYP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TD3QSRKR5VSAFQKZLKLBQO7AYP/action/storage_attestation","attest_author":"https://pith.science/pith/TD3QSRKR5VSAFQKZLKLBQO7AYP/action/author_attestation","sign_citation":"https://pith.science/pith/TD3QSRKR5VSAFQKZLKLBQO7AYP/action/citation_signature","submit_replication":"https://pith.science/pith/TD3QSRKR5VSAFQKZLKLBQO7AYP/action/replication_record"}},"created_at":"2026-05-17T23:49:52.970638+00:00","updated_at":"2026-05-17T23:49:52.970638+00:00"}