{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YHVZ5P3KWNT2CLDPCYN3ACEVSR","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":"95caae8d7b44ef74177c7ca4a019cf0711a73e6af0fe442a9e69373f2a137c37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-01-05T17:42:32Z","title_canon_sha256":"0fda02adf8bdaaa6a9a40ba39e3dfa613f7d083efbafdf8685a711aad59e358d"},"schema_version":"1.0","source":{"id":"1201.1229","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.1229","created_at":"2026-05-18T04:05:05Z"},{"alias_kind":"arxiv_version","alias_value":"1201.1229v1","created_at":"2026-05-18T04:05:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.1229","created_at":"2026-05-18T04:05:05Z"},{"alias_kind":"pith_short_12","alias_value":"YHVZ5P3KWNT2","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"YHVZ5P3KWNT2CLDP","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"YHVZ5P3K","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:de40b6ba7c56395af91d4e6b822b634089ceb6497a88b67503cd7107ff2b42d8","target":"graph","created_at":"2026-05-18T04:05:05Z","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":"The problem of finding perfect Euler cuboids or proving their non-existence is an old unsolved problem in mathematics. The second cuboid conjecture is one of the three propositions suggested as intermediate stages in proving the non-existence of perfect Euler cuboids. It is associated with a certain polynomial Diophantine equation of the order 10. In this paper a structural theorem for the solutions of this Diophantine equation is proved and some examples of its application are considered.","authors_text":"Ruslan Sharipov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-01-05T17:42:32Z","title":"A note on the second cuboid conjecture. Part I"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.1229","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":"sha256:0e67856242c6cbb9b03cb8e337478977ad8a28b7fe2d2005d7e3b2811a8b522c","target":"record","created_at":"2026-05-18T04:05:05Z","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":"95caae8d7b44ef74177c7ca4a019cf0711a73e6af0fe442a9e69373f2a137c37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-01-05T17:42:32Z","title_canon_sha256":"0fda02adf8bdaaa6a9a40ba39e3dfa613f7d083efbafdf8685a711aad59e358d"},"schema_version":"1.0","source":{"id":"1201.1229","kind":"arxiv","version":1}},"canonical_sha256":"c1eb9ebf6ab367a12c6f161bb0089594774fc945e0505d91b46c659687d0e312","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c1eb9ebf6ab367a12c6f161bb0089594774fc945e0505d91b46c659687d0e312","first_computed_at":"2026-05-18T04:05:05.658247Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:05.658247Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QiVcMYtvTfAM1LwKUshnehus5VwU7EFvuvW4oXTXNvS/HpXDWgm2h3zleG0BELLnLcok/Tj8lSDc2AzOT2LQAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:05.658903Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.1229","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e67856242c6cbb9b03cb8e337478977ad8a28b7fe2d2005d7e3b2811a8b522c","sha256:de40b6ba7c56395af91d4e6b822b634089ceb6497a88b67503cd7107ff2b42d8"],"state_sha256":"d016e3ed02b75e58a579d536b3a80c4db26e4a6e65937ee708e0bed42430135d"}