{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:Q4BHO44RRZNSEMZRBAX54SW2A4","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"5f67108e458b45ddd38558abc39a2694b0bd8f9a35b76aeb059379a4a265e3e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-01-03T19:43:55Z","title_canon_sha256":"068aa990fddbcaebe0f9a0cf21d8decbe28044e64352e97506cd44385fc4fa1e"},"schema_version":"1.0","source":{"id":"1201.0730","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.0730","created_at":"2026-05-18T04:05:16Z"},{"alias_kind":"arxiv_version","alias_value":"1201.0730v1","created_at":"2026-05-18T04:05:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0730","created_at":"2026-05-18T04:05:16Z"},{"alias_kind":"pith_short_12","alias_value":"Q4BHO44RRZNS","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"Q4BHO44RRZNSEMZR","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"Q4BHO44R","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:b7a2ed86d6a1109a23e856651392c9089345eba7ee9a6c006bd66805975e5136","target":"graph","created_at":"2026-05-18T04:05:16Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this note, we find all the solutions of the Diophantine equation x^2 +2^a.3^b.11^c=y^n in nonnegative integers a, b, c, x, y, n>= 3 with x and y coprime.","authors_text":"Florian Luca, Gokhan Soydan, Ilker Inam, Ismail Naci Cangul, Musa Demirci","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-01-03T19:43:55Z","title":"On the Diophantine equation x^2+2^a.3^b.11^c=y^n"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0730","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ab030a1c5bf3c16871c09807074997de38fb991710e8bf96014857b239e386b8","target":"record","created_at":"2026-05-18T04:05:16Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"5f67108e458b45ddd38558abc39a2694b0bd8f9a35b76aeb059379a4a265e3e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-01-03T19:43:55Z","title_canon_sha256":"068aa990fddbcaebe0f9a0cf21d8decbe28044e64352e97506cd44385fc4fa1e"},"schema_version":"1.0","source":{"id":"1201.0730","kind":"arxiv","version":1}},"canonical_sha256":"87027773918e5b223331082fde4ada070f7aca9afae0692784101f6b74d31074","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"87027773918e5b223331082fde4ada070f7aca9afae0692784101f6b74d31074","first_computed_at":"2026-05-18T04:05:16.870128Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:16.870128Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rj1Z7zHtPb9h2+0vTFb8tN6Oak8OwBrE6IaDv3Kx3gRpLtBtccv4IOV46BkOtl7ZW+FRcwLTZ0TnKB8i1VDXBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:16.870772Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.0730","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab030a1c5bf3c16871c09807074997de38fb991710e8bf96014857b239e386b8","sha256:b7a2ed86d6a1109a23e856651392c9089345eba7ee9a6c006bd66805975e5136"],"state_sha256":"c1a8a4297512d9f724b98fa33ba026033d99ec6adc9cd1df694421e132f4ebd0"}