{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:GOADHU2UNNPAE5KV6P5YTSQM3H","short_pith_number":"pith:GOADHU2U","schema_version":"1.0","canonical_sha256":"338033d3546b5e027555f3fb89ca0cd9c6b1ea5b93c3cd844b64959b90d28d0e","source":{"kind":"arxiv","id":"1201.0778","version":1},"attestation_state":"computed","paper":{"title":"On the Diophantine equation x^2+7^{alpha}.11^{beta}=y^n","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Gokhan Soydan","submitted_at":"2012-01-03T21:42:41Z","abstract_excerpt":"In this paper, we give all the solutions of the Diophantine equation x^2+7^{alpha}.11^{beta}=y^n, in nonnegative integers x, y, n>=3 with x and y coprime, except for the case when alpha.x is odd and beta is even."},"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":"1201.0778","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-01-03T21:42:41Z","cross_cats_sorted":[],"title_canon_sha256":"fbe82dece8f2d041ffcfb54479750d40acb180de73b6fd82abea58f90faf4113","abstract_canon_sha256":"4bc92a16372b3d7c47d1b3d8a874d109444b34be6acbbbf94297030ff23265de"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:16.325049Z","signature_b64":"1Pd8lBYDJvAzRv1a8YkcHp6vmTKEGYPdluTKiQPai63v59zSpXVvYHPJDyIfRtmurhMBfceaaKjskh9bb5kLAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"338033d3546b5e027555f3fb89ca0cd9c6b1ea5b93c3cd844b64959b90d28d0e","last_reissued_at":"2026-05-18T04:05:16.324445Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:16.324445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Diophantine equation x^2+7^{alpha}.11^{beta}=y^n","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Gokhan Soydan","submitted_at":"2012-01-03T21:42:41Z","abstract_excerpt":"In this paper, we give all the solutions of the Diophantine equation x^2+7^{alpha}.11^{beta}=y^n, in nonnegative integers x, y, n>=3 with x and y coprime, except for the case when alpha.x is odd and beta is even."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0778","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":"1201.0778","created_at":"2026-05-18T04:05:16.324540+00:00"},{"alias_kind":"arxiv_version","alias_value":"1201.0778v1","created_at":"2026-05-18T04:05:16.324540+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0778","created_at":"2026-05-18T04:05:16.324540+00:00"},{"alias_kind":"pith_short_12","alias_value":"GOADHU2UNNPA","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_16","alias_value":"GOADHU2UNNPAE5KV","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_8","alias_value":"GOADHU2U","created_at":"2026-05-18T12:27:06.952714+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/GOADHU2UNNPAE5KV6P5YTSQM3H","json":"https://pith.science/pith/GOADHU2UNNPAE5KV6P5YTSQM3H.json","graph_json":"https://pith.science/api/pith-number/GOADHU2UNNPAE5KV6P5YTSQM3H/graph.json","events_json":"https://pith.science/api/pith-number/GOADHU2UNNPAE5KV6P5YTSQM3H/events.json","paper":"https://pith.science/paper/GOADHU2U"},"agent_actions":{"view_html":"https://pith.science/pith/GOADHU2UNNPAE5KV6P5YTSQM3H","download_json":"https://pith.science/pith/GOADHU2UNNPAE5KV6P5YTSQM3H.json","view_paper":"https://pith.science/paper/GOADHU2U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1201.0778&json=true","fetch_graph":"https://pith.science/api/pith-number/GOADHU2UNNPAE5KV6P5YTSQM3H/graph.json","fetch_events":"https://pith.science/api/pith-number/GOADHU2UNNPAE5KV6P5YTSQM3H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GOADHU2UNNPAE5KV6P5YTSQM3H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GOADHU2UNNPAE5KV6P5YTSQM3H/action/storage_attestation","attest_author":"https://pith.science/pith/GOADHU2UNNPAE5KV6P5YTSQM3H/action/author_attestation","sign_citation":"https://pith.science/pith/GOADHU2UNNPAE5KV6P5YTSQM3H/action/citation_signature","submit_replication":"https://pith.science/pith/GOADHU2UNNPAE5KV6P5YTSQM3H/action/replication_record"}},"created_at":"2026-05-18T04:05:16.324540+00:00","updated_at":"2026-05-18T04:05:16.324540+00:00"}