{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:SKV4WQRVDXZOQTHFWUXW3NT5U7","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":"3389886fd9213a6036b0ae13144fc3f1d071d2eef5c14421d854b02de1e22721","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-09-12T17:07:47Z","title_canon_sha256":"09fc05b665bb0b62a84689d6ceb214907cb37c11ac914c2d5a5349faec060b74"},"schema_version":"1.0","source":{"id":"1109.2534","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.2534","created_at":"2026-05-18T04:13:37Z"},{"alias_kind":"arxiv_version","alias_value":"1109.2534v1","created_at":"2026-05-18T04:13:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.2534","created_at":"2026-05-18T04:13:37Z"},{"alias_kind":"pith_short_12","alias_value":"SKV4WQRVDXZO","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SKV4WQRVDXZOQTHF","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SKV4WQRV","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:ab4ac4e0ce1a3764524b8c653b479bd82e74d3b9148c6b84f85b0f14a3384bd7","target":"graph","created_at":"2026-05-18T04:13:37Z","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":"Recently the problem of constructing a perfect Euler cuboid was related with three conjectures asserting the irreducibility of some certain three polynomials depending on integer parameters. In this paper a partial result toward proving the first cuboid conjecture is obtained. The polynomial which, according to this conjecture, should be irreducible over integers is proved to have no integer roots.","authors_text":"Ruslan Sharipov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-09-12T17:07:47Z","title":"A note on the first cuboid conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.2534","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:b99bc628dc8e573ed0a3152bd87d985198b1e590261a74b397c58eae0c246f64","target":"record","created_at":"2026-05-18T04:13:37Z","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":"3389886fd9213a6036b0ae13144fc3f1d071d2eef5c14421d854b02de1e22721","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-09-12T17:07:47Z","title_canon_sha256":"09fc05b665bb0b62a84689d6ceb214907cb37c11ac914c2d5a5349faec060b74"},"schema_version":"1.0","source":{"id":"1109.2534","kind":"arxiv","version":1}},"canonical_sha256":"92abcb42351df2e84ce5b52f6db67da7e0ba2c33f0806aef93e2409a3d3475c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"92abcb42351df2e84ce5b52f6db67da7e0ba2c33f0806aef93e2409a3d3475c1","first_computed_at":"2026-05-18T04:13:37.424280Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:13:37.424280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dU/mSt8soLlu/nPrK2jrNVTsohi83beVoaZ1TOO311NYh2OmfTJROOrEcNelY23myruZenDleYBixYD7nS/LAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:13:37.425049Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.2534","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b99bc628dc8e573ed0a3152bd87d985198b1e590261a74b397c58eae0c246f64","sha256:ab4ac4e0ce1a3764524b8c653b479bd82e74d3b9148c6b84f85b0f14a3384bd7"],"state_sha256":"4c2e1f30f908606fbaa1e2f3072b3f114038d4931f2c14f6a659f1a5aaa5871d"}