{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TSQBAHJUUYJZPYDOBVDO4PDUA4","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":"c14ef1a5cb9626a69faa943939fff82d74ee6955b0e1078ff89128fa0d280ec7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-05-21T18:27:53Z","title_canon_sha256":"bec44a5907c985ac200bec84ee92b9d030d68c6b6f58fbcb54b82a315ae25ae2"},"schema_version":"1.0","source":{"id":"1305.4906","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.4906","created_at":"2026-05-18T03:13:45Z"},{"alias_kind":"arxiv_version","alias_value":"1305.4906v2","created_at":"2026-05-18T03:13:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4906","created_at":"2026-05-18T03:13:45Z"},{"alias_kind":"pith_short_12","alias_value":"TSQBAHJUUYJZ","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TSQBAHJUUYJZPYDO","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TSQBAHJU","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:7d70798a40993b4be90aec1dd7c9455b8adee921bc0ac40744606f5cabd46823","target":"graph","created_at":"2026-05-18T03:13:45Z","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":"Let k be a field of characteristic not 2, let q be a quadratic space over k and let f be an irreducible polynomial with coefficients in k. In 1969, Milnor raised the following question : how can we decide whether q has an isometry with minimal polynomial f ? We give an answer to this question in the case of global fields. A more general version of the question is also considered.","authors_text":"Eva Bayer-Fluckiger","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-05-21T18:27:53Z","title":"Isometries of quadratic spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4906","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:f888bb94241eeb1c14bf4bac22a6be3fb500c710eaa841b903dbff104b45c3ab","target":"record","created_at":"2026-05-18T03:13:45Z","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":"c14ef1a5cb9626a69faa943939fff82d74ee6955b0e1078ff89128fa0d280ec7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-05-21T18:27:53Z","title_canon_sha256":"bec44a5907c985ac200bec84ee92b9d030d68c6b6f58fbcb54b82a315ae25ae2"},"schema_version":"1.0","source":{"id":"1305.4906","kind":"arxiv","version":2}},"canonical_sha256":"9ca0101d34a61397e06e0d46ee3c74072b5c5f69d19e6e959fed3c4bacf1f1f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ca0101d34a61397e06e0d46ee3c74072b5c5f69d19e6e959fed3c4bacf1f1f2","first_computed_at":"2026-05-18T03:13:45.716014Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:45.716014Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CLObN18gAWNWvma2IAXMKTXjV1BiMnhdmw733VzkuxRT9GkTihmu3ifWeu9bqXRvZAUE8MO5YxRa+iD76hicAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:45.716781Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.4906","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f888bb94241eeb1c14bf4bac22a6be3fb500c710eaa841b903dbff104b45c3ab","sha256:7d70798a40993b4be90aec1dd7c9455b8adee921bc0ac40744606f5cabd46823"],"state_sha256":"64c0c23b1cc93b16cf41c9bc599bbc89ad47323c4939ae445f8b3271022116be"}