{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:4R7ACIYUPQAGJ23CUZRJBQW7BL","short_pith_number":"pith:4R7ACIYU","schema_version":"1.0","canonical_sha256":"e47e0123147c0064eb62a66290c2df0af16c98a888a7645b4f996994ac639ce9","source":{"kind":"arxiv","id":"1701.01584","version":2},"attestation_state":"computed","paper":{"title":"Note on the spectrum of classical and uniform exponents of Diophantine approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Antoine Marnat","submitted_at":"2017-01-06T09:35:18Z","abstract_excerpt":"Using the Parametric Geometry of Numbers introduced recently by W.M. Schmidt and L. Summerer and results by D. Roy, we establish that the spectrum of the $2n$ exponents of Diophantine approximation in dimension $n\\geq3$ is a subset of $\\mathbb{R}^{2n}$ with non empty interior."},"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":"1701.01584","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-01-06T09:35:18Z","cross_cats_sorted":[],"title_canon_sha256":"2f8a4222bc9995619ac924f7a0200fc6ff9952276fdd3d215474467d1437346a","abstract_canon_sha256":"201c337aaddd494971f5c63781126e83ad70003239bff75bc8e1815e49d83a31"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:22.386957Z","signature_b64":"ukKUENMpaD8qoX2dkrqC/WNglVmIsC64q4xrN2PrpyE9iTHxuCDTceRcCX34Os3kRSZz5vzvimHQO+nooGnmBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e47e0123147c0064eb62a66290c2df0af16c98a888a7645b4f996994ac639ce9","last_reissued_at":"2026-05-18T00:20:22.386433Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:22.386433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Note on the spectrum of classical and uniform exponents of Diophantine approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Antoine Marnat","submitted_at":"2017-01-06T09:35:18Z","abstract_excerpt":"Using the Parametric Geometry of Numbers introduced recently by W.M. Schmidt and L. Summerer and results by D. Roy, we establish that the spectrum of the $2n$ exponents of Diophantine approximation in dimension $n\\geq3$ is a subset of $\\mathbb{R}^{2n}$ with non empty interior."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.01584","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":"1701.01584","created_at":"2026-05-18T00:20:22.386503+00:00"},{"alias_kind":"arxiv_version","alias_value":"1701.01584v2","created_at":"2026-05-18T00:20:22.386503+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.01584","created_at":"2026-05-18T00:20:22.386503+00:00"},{"alias_kind":"pith_short_12","alias_value":"4R7ACIYUPQAG","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_16","alias_value":"4R7ACIYUPQAGJ23C","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_8","alias_value":"4R7ACIYU","created_at":"2026-05-18T12:31:00.734936+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/4R7ACIYUPQAGJ23CUZRJBQW7BL","json":"https://pith.science/pith/4R7ACIYUPQAGJ23CUZRJBQW7BL.json","graph_json":"https://pith.science/api/pith-number/4R7ACIYUPQAGJ23CUZRJBQW7BL/graph.json","events_json":"https://pith.science/api/pith-number/4R7ACIYUPQAGJ23CUZRJBQW7BL/events.json","paper":"https://pith.science/paper/4R7ACIYU"},"agent_actions":{"view_html":"https://pith.science/pith/4R7ACIYUPQAGJ23CUZRJBQW7BL","download_json":"https://pith.science/pith/4R7ACIYUPQAGJ23CUZRJBQW7BL.json","view_paper":"https://pith.science/paper/4R7ACIYU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1701.01584&json=true","fetch_graph":"https://pith.science/api/pith-number/4R7ACIYUPQAGJ23CUZRJBQW7BL/graph.json","fetch_events":"https://pith.science/api/pith-number/4R7ACIYUPQAGJ23CUZRJBQW7BL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4R7ACIYUPQAGJ23CUZRJBQW7BL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4R7ACIYUPQAGJ23CUZRJBQW7BL/action/storage_attestation","attest_author":"https://pith.science/pith/4R7ACIYUPQAGJ23CUZRJBQW7BL/action/author_attestation","sign_citation":"https://pith.science/pith/4R7ACIYUPQAGJ23CUZRJBQW7BL/action/citation_signature","submit_replication":"https://pith.science/pith/4R7ACIYUPQAGJ23CUZRJBQW7BL/action/replication_record"}},"created_at":"2026-05-18T00:20:22.386503+00:00","updated_at":"2026-05-18T00:20:22.386503+00:00"}