{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7QUW6JIGT4KUCJ3F6FPQ3EI6Y2","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":"ca2f27b18a5e26f0d204e776625e8e4f0271f6fa338cceb24b4eb4e5c5b86d8d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.NT","submitted_at":"2014-11-08T18:16:00Z","title_canon_sha256":"648cacc120bbb7e302aa26ee0e2598f66bdf215e5bf40376d84b399c395d995a"},"schema_version":"1.0","source":{"id":"1411.2145","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.2145","created_at":"2026-05-18T02:38:08Z"},{"alias_kind":"arxiv_version","alias_value":"1411.2145v1","created_at":"2026-05-18T02:38:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.2145","created_at":"2026-05-18T02:38:08Z"},{"alias_kind":"pith_short_12","alias_value":"7QUW6JIGT4KU","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7QUW6JIGT4KUCJ3F","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7QUW6JIG","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:6009193bda36b73d6e82a97c1d794eed7666ac6d79d9d1a459793331b933d88e","target":"graph","created_at":"2026-05-18T02:38:08Z","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":"{\\small In this paper, we find a class of division quaternion algebras over the field }$\\mathbb{Q}\\left( i\\right) ${\\small \\ and a class of division symbol algebras over a cyclotomic field.}","authors_text":"Diana Savin","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.NT","submitted_at":"2014-11-08T18:16:00Z","title":"About division quaternion algebras and division symbol algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.2145","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:ba4c87fb55acaf49d756de3f2f466b47837c92a398bf5dfdcb8eb830227c34dc","target":"record","created_at":"2026-05-18T02:38:08Z","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":"ca2f27b18a5e26f0d204e776625e8e4f0271f6fa338cceb24b4eb4e5c5b86d8d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.NT","submitted_at":"2014-11-08T18:16:00Z","title_canon_sha256":"648cacc120bbb7e302aa26ee0e2598f66bdf215e5bf40376d84b399c395d995a"},"schema_version":"1.0","source":{"id":"1411.2145","kind":"arxiv","version":1}},"canonical_sha256":"fc296f25069f15412765f15f0d911ec6803ba8fed540747eb67e9e18f38cc9fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc296f25069f15412765f15f0d911ec6803ba8fed540747eb67e9e18f38cc9fc","first_computed_at":"2026-05-18T02:38:08.440703Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:08.440703Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tZilMyn6YQosIL9jaJnsqAUpBLFQOE2eTBUDshKvrmKW3Z9Q0xJBI56Q7skjyk3xJbs+Hy9N7LhcIzskcG79Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:08.441518Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.2145","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba4c87fb55acaf49d756de3f2f466b47837c92a398bf5dfdcb8eb830227c34dc","sha256:6009193bda36b73d6e82a97c1d794eed7666ac6d79d9d1a459793331b933d88e"],"state_sha256":"b84e10f39e73e504259c5cc3f08d672da99743d9934c7bbb080d4908299ed7f5"}