{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:2X5534KSA64UWH4ECBF6IJ6K4C","short_pith_number":"pith:2X5534KS","schema_version":"1.0","canonical_sha256":"d5fbddf15207b94b1f84104be427cae0beaa7d5876b83b67784fba5d9d342b06","source":{"kind":"arxiv","id":"1610.09084","version":1},"attestation_state":"computed","paper":{"title":"On prime vs. prime power pairs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Yuta Suzuki","submitted_at":"2016-10-28T05:51:32Z","abstract_excerpt":"In this paper, we consider pairs of a prime and a prime power with a fixed difference. We prove an average result on the distribution of such pairs. This is a partial improvement of the result of Bauer (1998)."},"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":"1610.09084","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-10-28T05:51:32Z","cross_cats_sorted":[],"title_canon_sha256":"1aa57244b4fcde13b6dcb260155dbe88efa19f689d0947fd79ce38c0ef7baf32","abstract_canon_sha256":"f4f72b5f5b895a431eb7a06d48de111bc9b8f59785fb1a50a949d899b1da5425"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:59.209926Z","signature_b64":"bgIaGOnCGJDCQ9SjVISLJgT2T+m7WaveNvZQUjQa9HUu548yoZgu9J7pE0sFj+TJm3WoDNFMwtVJl3IbEvuMAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d5fbddf15207b94b1f84104be427cae0beaa7d5876b83b67784fba5d9d342b06","last_reissued_at":"2026-05-18T01:00:59.209207Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:59.209207Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On prime vs. prime power pairs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Yuta Suzuki","submitted_at":"2016-10-28T05:51:32Z","abstract_excerpt":"In this paper, we consider pairs of a prime and a prime power with a fixed difference. We prove an average result on the distribution of such pairs. This is a partial improvement of the result of Bauer (1998)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09084","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":"1610.09084","created_at":"2026-05-18T01:00:59.209356+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.09084v1","created_at":"2026-05-18T01:00:59.209356+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.09084","created_at":"2026-05-18T01:00:59.209356+00:00"},{"alias_kind":"pith_short_12","alias_value":"2X5534KSA64U","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_16","alias_value":"2X5534KSA64UWH4E","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_8","alias_value":"2X5534KS","created_at":"2026-05-18T12:29:55.572404+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/2X5534KSA64UWH4ECBF6IJ6K4C","json":"https://pith.science/pith/2X5534KSA64UWH4ECBF6IJ6K4C.json","graph_json":"https://pith.science/api/pith-number/2X5534KSA64UWH4ECBF6IJ6K4C/graph.json","events_json":"https://pith.science/api/pith-number/2X5534KSA64UWH4ECBF6IJ6K4C/events.json","paper":"https://pith.science/paper/2X5534KS"},"agent_actions":{"view_html":"https://pith.science/pith/2X5534KSA64UWH4ECBF6IJ6K4C","download_json":"https://pith.science/pith/2X5534KSA64UWH4ECBF6IJ6K4C.json","view_paper":"https://pith.science/paper/2X5534KS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.09084&json=true","fetch_graph":"https://pith.science/api/pith-number/2X5534KSA64UWH4ECBF6IJ6K4C/graph.json","fetch_events":"https://pith.science/api/pith-number/2X5534KSA64UWH4ECBF6IJ6K4C/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2X5534KSA64UWH4ECBF6IJ6K4C/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2X5534KSA64UWH4ECBF6IJ6K4C/action/storage_attestation","attest_author":"https://pith.science/pith/2X5534KSA64UWH4ECBF6IJ6K4C/action/author_attestation","sign_citation":"https://pith.science/pith/2X5534KSA64UWH4ECBF6IJ6K4C/action/citation_signature","submit_replication":"https://pith.science/pith/2X5534KSA64UWH4ECBF6IJ6K4C/action/replication_record"}},"created_at":"2026-05-18T01:00:59.209356+00:00","updated_at":"2026-05-18T01:00:59.209356+00:00"}