{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:QVSEC2HKR5OJZ6TLSRJNW4OK7J","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":"78ce075986ff9ecc1f6f96c4593f2cf14af1531ee41f9f27c6113e66f8aac185","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-09-17T18:41:51Z","title_canon_sha256":"f155323de6122c12e47969c952cdd9adad04207da9f281d74de2eb44badfe5ac"},"schema_version":"1.0","source":{"id":"1309.4421","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.4421","created_at":"2026-05-18T01:10:11Z"},{"alias_kind":"arxiv_version","alias_value":"1309.4421v2","created_at":"2026-05-18T01:10:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.4421","created_at":"2026-05-18T01:10:11Z"},{"alias_kind":"pith_short_12","alias_value":"QVSEC2HKR5OJ","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QVSEC2HKR5OJZ6TL","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QVSEC2HK","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:9c4cf2daeac3de8dbf2b8e7882baa74136bf21e53f582f5ff11d1f872865e203","target":"graph","created_at":"2026-05-18T01:10:11Z","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":"We determine the set of primitive integral solutions to the generalised Fermat equation x^2 + y^3 = z^15. As expected, the only solutions are the trivial ones with xyz = 0 and the non-trivial pair (x,y,z) = (+-3, -2, 1).","authors_text":"Michael Stoll, Samir Siksek","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-09-17T18:41:51Z","title":"The Generalised Fermat Equation x^2 + y^3 = z^15"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.4421","kind":"arxiv","version":2},"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:e36c241b4de649fc7888dc346205bded008dfe4af9a6bb7be09b97638f5cffb8","target":"record","created_at":"2026-05-18T01:10:11Z","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":"78ce075986ff9ecc1f6f96c4593f2cf14af1531ee41f9f27c6113e66f8aac185","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-09-17T18:41:51Z","title_canon_sha256":"f155323de6122c12e47969c952cdd9adad04207da9f281d74de2eb44badfe5ac"},"schema_version":"1.0","source":{"id":"1309.4421","kind":"arxiv","version":2}},"canonical_sha256":"85644168ea8f5c9cfa6b9452db71cafa5d671ed8133351d58239bf9c28bd0180","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"85644168ea8f5c9cfa6b9452db71cafa5d671ed8133351d58239bf9c28bd0180","first_computed_at":"2026-05-18T01:10:11.171061Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:11.171061Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pA/VEB5MFfc5mVtMCyYVy64WiTcOCArmKbJXfW0UFOc1MzgomGOo0gyeVpQYB10qoCEMn5bxrydk7Q8HA1HcCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:11.171546Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.4421","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e36c241b4de649fc7888dc346205bded008dfe4af9a6bb7be09b97638f5cffb8","sha256:9c4cf2daeac3de8dbf2b8e7882baa74136bf21e53f582f5ff11d1f872865e203"],"state_sha256":"c39625d6a5774d51c0b01eef48ab8213bedd95d38b2dc220e49a86fa3da89ce9"}