{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:R4MWF2ECBFBMRM44LSNB4IT43R","short_pith_number":"pith:R4MWF2EC","schema_version":"1.0","canonical_sha256":"8f1962e8820942c8b39c5c9a1e227cdc7fcd8b5fa53eec53e1b79ab8f006d183","source":{"kind":"arxiv","id":"1312.7154","version":1},"attestation_state":"computed","paper":{"title":"Liouville Numbers and Schanuel's Conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"K. Senthil Kumar, M. Waldschmidt, R. Thangadurai","submitted_at":"2013-12-26T22:06:17Z","abstract_excerpt":"In this paper, using an argument of P. Erdos, K. Alniacik and E. Saias, we extend earlier results on Liouville numbers, due to P. Erdos, G.J. Rieger, W. Schwarz, K. Alniacik, E. Saias, E.B. Burger. We also produce new results of algebraic independence related with Liouville numbers and Schanuel's Conjecture, in the framework of G delta-subsets."},"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":"1312.7154","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-12-26T22:06:17Z","cross_cats_sorted":[],"title_canon_sha256":"08379378ccafe104e365f63e0bb141cdd0776f9702eb3f2514393255ca3ecf53","abstract_canon_sha256":"46b27c41bd5cccefe0f7b228c6d1d5c2230b4ccdbb482b834cfd7ae1335c9521"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:03:45.662644Z","signature_b64":"yG4dEOgotar7rQCLveuZl9/rF129JnzOVEA0rR9y+09yAfhkuzRVpHycUAwZzjBWfCH0qQNSOPhYBtbK6j7ZCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f1962e8820942c8b39c5c9a1e227cdc7fcd8b5fa53eec53e1b79ab8f006d183","last_reissued_at":"2026-05-18T03:03:45.662042Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:03:45.662042Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Liouville Numbers and Schanuel's Conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"K. Senthil Kumar, M. Waldschmidt, R. Thangadurai","submitted_at":"2013-12-26T22:06:17Z","abstract_excerpt":"In this paper, using an argument of P. Erdos, K. Alniacik and E. Saias, we extend earlier results on Liouville numbers, due to P. Erdos, G.J. Rieger, W. Schwarz, K. Alniacik, E. Saias, E.B. Burger. We also produce new results of algebraic independence related with Liouville numbers and Schanuel's Conjecture, in the framework of G delta-subsets."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.7154","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":""},"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":"1312.7154","created_at":"2026-05-18T03:03:45.662150+00:00"},{"alias_kind":"arxiv_version","alias_value":"1312.7154v1","created_at":"2026-05-18T03:03:45.662150+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.7154","created_at":"2026-05-18T03:03:45.662150+00:00"},{"alias_kind":"pith_short_12","alias_value":"R4MWF2ECBFBM","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_16","alias_value":"R4MWF2ECBFBMRM44","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_8","alias_value":"R4MWF2EC","created_at":"2026-05-18T12:27:57.521954+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/R4MWF2ECBFBMRM44LSNB4IT43R","json":"https://pith.science/pith/R4MWF2ECBFBMRM44LSNB4IT43R.json","graph_json":"https://pith.science/api/pith-number/R4MWF2ECBFBMRM44LSNB4IT43R/graph.json","events_json":"https://pith.science/api/pith-number/R4MWF2ECBFBMRM44LSNB4IT43R/events.json","paper":"https://pith.science/paper/R4MWF2EC"},"agent_actions":{"view_html":"https://pith.science/pith/R4MWF2ECBFBMRM44LSNB4IT43R","download_json":"https://pith.science/pith/R4MWF2ECBFBMRM44LSNB4IT43R.json","view_paper":"https://pith.science/paper/R4MWF2EC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1312.7154&json=true","fetch_graph":"https://pith.science/api/pith-number/R4MWF2ECBFBMRM44LSNB4IT43R/graph.json","fetch_events":"https://pith.science/api/pith-number/R4MWF2ECBFBMRM44LSNB4IT43R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/R4MWF2ECBFBMRM44LSNB4IT43R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/R4MWF2ECBFBMRM44LSNB4IT43R/action/storage_attestation","attest_author":"https://pith.science/pith/R4MWF2ECBFBMRM44LSNB4IT43R/action/author_attestation","sign_citation":"https://pith.science/pith/R4MWF2ECBFBMRM44LSNB4IT43R/action/citation_signature","submit_replication":"https://pith.science/pith/R4MWF2ECBFBMRM44LSNB4IT43R/action/replication_record"}},"created_at":"2026-05-18T03:03:45.662150+00:00","updated_at":"2026-05-18T03:03:45.662150+00:00"}