{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KKCPLIF7MTXJ7H3M477UE5ULKT","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":"dbc74b117750699c743a95764d64cba63a1cc1b6c445b724d3d0adbc8efc85ca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-10-02T16:31:32Z","title_canon_sha256":"c9a871c917717fd806698cac046b3c36ab3ed46f6afd487ae4f4da0dd81d0806"},"schema_version":"1.0","source":{"id":"1510.00638","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.00638","created_at":"2026-05-18T01:31:12Z"},{"alias_kind":"arxiv_version","alias_value":"1510.00638v1","created_at":"2026-05-18T01:31:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.00638","created_at":"2026-05-18T01:31:12Z"},{"alias_kind":"pith_short_12","alias_value":"KKCPLIF7MTXJ","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KKCPLIF7MTXJ7H3M","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KKCPLIF7","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:475978ff7957755101435a10168d3d01dd3c55e28e55919423ea07b911d79250","target":"graph","created_at":"2026-05-18T01:31:12Z","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 paper, we prove that there is no number with the Lehmer property in the sequence of Pell numbers.","authors_text":"Bernadette Faye, Florian Luca","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-10-02T16:31:32Z","title":"Pell Numbers with Lehmer property"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.00638","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":"sha256:475bf5c3f81ea51da686fe08cc454f408652c7879540e3fdd13718ee735243ef","target":"record","created_at":"2026-05-18T01:31:12Z","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":"dbc74b117750699c743a95764d64cba63a1cc1b6c445b724d3d0adbc8efc85ca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-10-02T16:31:32Z","title_canon_sha256":"c9a871c917717fd806698cac046b3c36ab3ed46f6afd487ae4f4da0dd81d0806"},"schema_version":"1.0","source":{"id":"1510.00638","kind":"arxiv","version":1}},"canonical_sha256":"5284f5a0bf64ee9f9f6ce7ff42768b54e7569fc9b3f23efa0ce7c4f8db236fe7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5284f5a0bf64ee9f9f6ce7ff42768b54e7569fc9b3f23efa0ce7c4f8db236fe7","first_computed_at":"2026-05-18T01:31:12.447357Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:12.447357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Dsant36sBuhA/x18+l6t8GfER7SvBrNCjdVk48ZgvtAMxseigMLEgRuuLjxor2A/78dyMM3UmbyKWhxlHfNkBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:12.447904Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.00638","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:475bf5c3f81ea51da686fe08cc454f408652c7879540e3fdd13718ee735243ef","sha256:475978ff7957755101435a10168d3d01dd3c55e28e55919423ea07b911d79250"],"state_sha256":"771ecd8da46a5f6dd190ac439b45f2f42295a26e9133ec49c2624cc08cc7e00a"}