{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:52TXRPYOUQOC4NN2Z6WJYTYBPC","short_pith_number":"pith:52TXRPYO","schema_version":"1.0","canonical_sha256":"eea778bf0ea41c2e35bacfac9c4f01788ca0dcf907444e40dc73611df95143dc","source":{"kind":"arxiv","id":"1110.1459","version":3},"attestation_state":"computed","paper":{"title":"An Ultrametric lethargy result and its application to p-adic number theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"J. M. Almira","submitted_at":"2011-10-07T09:02:37Z","abstract_excerpt":"In this paper we show a lethargy result in the non-Arquimedian context, for general ultrametric approximation schemes and, as a consequence, we prove the existence of p-adic transcendental numbers whose best approximation errors by algebraic p-adic numbers of degree less than or equal to n decays slowly."},"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":"1110.1459","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-10-07T09:02:37Z","cross_cats_sorted":[],"title_canon_sha256":"9565c5de4ef51be6b11f0baafc89e2ab68269be9cefb80ec2078f6eed78047ee","abstract_canon_sha256":"50adfe7b9f85a6f9985b640d2fe2624292e97c3d412dab0bd15fd88a4dc4914e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:58.965228Z","signature_b64":"iQjN6pj4RpC8XoSyW/YUQtUC8/y0+Dbbu2R8KahawIuliX8E6MhaWDNDO6dMynU41Ud3eL09rZ9I9dr7hWgFAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eea778bf0ea41c2e35bacfac9c4f01788ca0dcf907444e40dc73611df95143dc","last_reissued_at":"2026-05-18T04:05:58.964604Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:58.964604Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An Ultrametric lethargy result and its application to p-adic number theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"J. M. Almira","submitted_at":"2011-10-07T09:02:37Z","abstract_excerpt":"In this paper we show a lethargy result in the non-Arquimedian context, for general ultrametric approximation schemes and, as a consequence, we prove the existence of p-adic transcendental numbers whose best approximation errors by algebraic p-adic numbers of degree less than or equal to n decays slowly."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.1459","kind":"arxiv","version":3},"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":"1110.1459","created_at":"2026-05-18T04:05:58.964708+00:00"},{"alias_kind":"arxiv_version","alias_value":"1110.1459v3","created_at":"2026-05-18T04:05:58.964708+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.1459","created_at":"2026-05-18T04:05:58.964708+00:00"},{"alias_kind":"pith_short_12","alias_value":"52TXRPYOUQOC","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_16","alias_value":"52TXRPYOUQOC4NN2","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_8","alias_value":"52TXRPYO","created_at":"2026-05-18T12:26:20.644004+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/52TXRPYOUQOC4NN2Z6WJYTYBPC","json":"https://pith.science/pith/52TXRPYOUQOC4NN2Z6WJYTYBPC.json","graph_json":"https://pith.science/api/pith-number/52TXRPYOUQOC4NN2Z6WJYTYBPC/graph.json","events_json":"https://pith.science/api/pith-number/52TXRPYOUQOC4NN2Z6WJYTYBPC/events.json","paper":"https://pith.science/paper/52TXRPYO"},"agent_actions":{"view_html":"https://pith.science/pith/52TXRPYOUQOC4NN2Z6WJYTYBPC","download_json":"https://pith.science/pith/52TXRPYOUQOC4NN2Z6WJYTYBPC.json","view_paper":"https://pith.science/paper/52TXRPYO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1110.1459&json=true","fetch_graph":"https://pith.science/api/pith-number/52TXRPYOUQOC4NN2Z6WJYTYBPC/graph.json","fetch_events":"https://pith.science/api/pith-number/52TXRPYOUQOC4NN2Z6WJYTYBPC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/52TXRPYOUQOC4NN2Z6WJYTYBPC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/52TXRPYOUQOC4NN2Z6WJYTYBPC/action/storage_attestation","attest_author":"https://pith.science/pith/52TXRPYOUQOC4NN2Z6WJYTYBPC/action/author_attestation","sign_citation":"https://pith.science/pith/52TXRPYOUQOC4NN2Z6WJYTYBPC/action/citation_signature","submit_replication":"https://pith.science/pith/52TXRPYOUQOC4NN2Z6WJYTYBPC/action/replication_record"}},"created_at":"2026-05-18T04:05:58.964708+00:00","updated_at":"2026-05-18T04:05:58.964708+00:00"}