{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:E44MFWDC5EM4JDO3GWVLW4X4BK","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":"9c5e2bf81c72c14a248391ef47002430c1c3f7fdc339d689e2220553b7ac10b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-03-25T07:50:11Z","title_canon_sha256":"32e141149c08b802b103b90f191dafa82d751cec6b7398dcf0b0858586614bbf"},"schema_version":"1.0","source":{"id":"1103.4922","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.4922","created_at":"2026-05-18T04:25:48Z"},{"alias_kind":"arxiv_version","alias_value":"1103.4922v1","created_at":"2026-05-18T04:25:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.4922","created_at":"2026-05-18T04:25:48Z"},{"alias_kind":"pith_short_12","alias_value":"E44MFWDC5EM4","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"E44MFWDC5EM4JDO3","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"E44MFWDC","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:20d1b24b4b32c727d4f9dc2305c457b2fb601899080749a125640b4f63586667","target":"graph","created_at":"2026-05-18T04:25:48Z","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 give details of a formerly known relation between ternary quadratic forms and quaternion orders through the even Clifford algebra. Based on this and classifications of ternary quadratic forms we give a completely explicit classification of quaternion orders in the padic case.","authors_text":"Stefan Lemurell","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-03-25T07:50:11Z","title":"Quaternion Orders and Ternary Quadratic Forms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.4922","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:e1b57bff64ab75042694c6e82b8afc1e2442117819cee0d667aa293711bb3c14","target":"record","created_at":"2026-05-18T04:25:48Z","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":"9c5e2bf81c72c14a248391ef47002430c1c3f7fdc339d689e2220553b7ac10b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-03-25T07:50:11Z","title_canon_sha256":"32e141149c08b802b103b90f191dafa82d751cec6b7398dcf0b0858586614bbf"},"schema_version":"1.0","source":{"id":"1103.4922","kind":"arxiv","version":1}},"canonical_sha256":"2738c2d862e919c48ddb35aabb72fc0ab85395bad24498b11d76950ab0ead868","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2738c2d862e919c48ddb35aabb72fc0ab85395bad24498b11d76950ab0ead868","first_computed_at":"2026-05-18T04:25:48.371120Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:25:48.371120Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OnJBIdmmm23HLlVUcOqdnyOe6aTqm6Y3MrAOt+otLO1ITqxWjbgInPEpGN8V8iTU85aTazphHMWdeuIg6K9+CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:25:48.371611Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.4922","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e1b57bff64ab75042694c6e82b8afc1e2442117819cee0d667aa293711bb3c14","sha256:20d1b24b4b32c727d4f9dc2305c457b2fb601899080749a125640b4f63586667"],"state_sha256":"31571eaeecb21b0e72b08b03995afb1af0541ca96339680a7169a830c9f97790"}