{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:NSATV2AZXI4VJF6M4BSGVGBX7C","short_pith_number":"pith:NSATV2AZ","schema_version":"1.0","canonical_sha256":"6c813ae819ba395497cce0646a9837f8b22798ca3ff0a124d626d6a39ad53c3e","source":{"kind":"arxiv","id":"1504.01645","version":1},"attestation_state":"computed","paper":{"title":"Large gaps between consecutive prime numbers containing square-free numbers and perfect powers of prime numbers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Helmut Maier, Michael Th. Rassias","submitted_at":"2015-04-07T15:39:27Z","abstract_excerpt":"We prove a modification as well as an improvement of a result of K. Ford, D. R. Heath-Brown and S. Konyagin concerning prime avoidance of square-free numbers and perfect powers of prime numbers."},"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":"1504.01645","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-04-07T15:39:27Z","cross_cats_sorted":[],"title_canon_sha256":"c5487359286b42eccb5d646e1cc9c62fc5ea181ff0aca1178a78109940a3a51c","abstract_canon_sha256":"6f0a4e52cb2d33869637c796aa960313887af25a960027307dd68f3f641af2c5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:19:26.592605Z","signature_b64":"3enHonV32apACZ6OKrrZUXrz1EwyffPYzqtWUbTJ+hSAW/SQBBrYxFP/kLwnS9A/URu15PaYW24xb3LdzaOhBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6c813ae819ba395497cce0646a9837f8b22798ca3ff0a124d626d6a39ad53c3e","last_reissued_at":"2026-05-18T02:19:26.591823Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:19:26.591823Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Large gaps between consecutive prime numbers containing square-free numbers and perfect powers of prime numbers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Helmut Maier, Michael Th. Rassias","submitted_at":"2015-04-07T15:39:27Z","abstract_excerpt":"We prove a modification as well as an improvement of a result of K. Ford, D. R. Heath-Brown and S. Konyagin concerning prime avoidance of square-free numbers and perfect powers of prime numbers."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.01645","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":"1504.01645","created_at":"2026-05-18T02:19:26.591940+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.01645v1","created_at":"2026-05-18T02:19:26.591940+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.01645","created_at":"2026-05-18T02:19:26.591940+00:00"},{"alias_kind":"pith_short_12","alias_value":"NSATV2AZXI4V","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_16","alias_value":"NSATV2AZXI4VJF6M","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_8","alias_value":"NSATV2AZ","created_at":"2026-05-18T12:29:34.919912+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/NSATV2AZXI4VJF6M4BSGVGBX7C","json":"https://pith.science/pith/NSATV2AZXI4VJF6M4BSGVGBX7C.json","graph_json":"https://pith.science/api/pith-number/NSATV2AZXI4VJF6M4BSGVGBX7C/graph.json","events_json":"https://pith.science/api/pith-number/NSATV2AZXI4VJF6M4BSGVGBX7C/events.json","paper":"https://pith.science/paper/NSATV2AZ"},"agent_actions":{"view_html":"https://pith.science/pith/NSATV2AZXI4VJF6M4BSGVGBX7C","download_json":"https://pith.science/pith/NSATV2AZXI4VJF6M4BSGVGBX7C.json","view_paper":"https://pith.science/paper/NSATV2AZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.01645&json=true","fetch_graph":"https://pith.science/api/pith-number/NSATV2AZXI4VJF6M4BSGVGBX7C/graph.json","fetch_events":"https://pith.science/api/pith-number/NSATV2AZXI4VJF6M4BSGVGBX7C/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NSATV2AZXI4VJF6M4BSGVGBX7C/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NSATV2AZXI4VJF6M4BSGVGBX7C/action/storage_attestation","attest_author":"https://pith.science/pith/NSATV2AZXI4VJF6M4BSGVGBX7C/action/author_attestation","sign_citation":"https://pith.science/pith/NSATV2AZXI4VJF6M4BSGVGBX7C/action/citation_signature","submit_replication":"https://pith.science/pith/NSATV2AZXI4VJF6M4BSGVGBX7C/action/replication_record"}},"created_at":"2026-05-18T02:19:26.591940+00:00","updated_at":"2026-05-18T02:19:26.591940+00:00"}