{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:SE4S7VL7EVFGJZJTPEXI3NXUJ6","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":"fc33157107d8c089083baad8514c4b2f9719b1b7826850e65822b14b1e6fb8a6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-03-09T10:45:01Z","title_canon_sha256":"f9f862d3e32c3767f4917750789c2d664455e047e39f227b7866609496800849"},"schema_version":"1.0","source":{"id":"1803.03460","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.03460","created_at":"2026-05-17T23:52:24Z"},{"alias_kind":"arxiv_version","alias_value":"1803.03460v3","created_at":"2026-05-17T23:52:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.03460","created_at":"2026-05-17T23:52:24Z"},{"alias_kind":"pith_short_12","alias_value":"SE4S7VL7EVFG","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"SE4S7VL7EVFGJZJT","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"SE4S7VL7","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:fec36fc65e03a4f791d32b3fb2c54e4287eff376beb87185edc91bee872b205d","target":"graph","created_at":"2026-05-17T23:52:24Z","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 find all the possible torsion groups of $\\Q$-curves over quadratic fields and determine which groups appear finitely and which appear infinitely often.","authors_text":"Filip Najman, Samuel Le Fourn","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-03-09T10:45:01Z","title":"Torsion of $\\Q$-curves over quadratic fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.03460","kind":"arxiv","version":3},"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":"sha256:55fef40e131f54c0dd6be518c2ac394c6f9444f3f548ee87bc02808ff0387abb","target":"record","created_at":"2026-05-17T23:52:24Z","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":"fc33157107d8c089083baad8514c4b2f9719b1b7826850e65822b14b1e6fb8a6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-03-09T10:45:01Z","title_canon_sha256":"f9f862d3e32c3767f4917750789c2d664455e047e39f227b7866609496800849"},"schema_version":"1.0","source":{"id":"1803.03460","kind":"arxiv","version":3}},"canonical_sha256":"91392fd57f254a64e533792e8db6f44f91adb2dfbf4cc05cc9cda1bdbc0251be","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"91392fd57f254a64e533792e8db6f44f91adb2dfbf4cc05cc9cda1bdbc0251be","first_computed_at":"2026-05-17T23:52:24.502577Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:24.502577Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o3zxGyQj4ASpVI0tRN/bEeP9z9PBlRMc7uroEeEw/NulQgx4kK31u6Sbsl4y8tu+W3v9NM61v1MR85o1OYIqBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:24.503043Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.03460","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:55fef40e131f54c0dd6be518c2ac394c6f9444f3f548ee87bc02808ff0387abb","sha256:fec36fc65e03a4f791d32b3fb2c54e4287eff376beb87185edc91bee872b205d"],"state_sha256":"e3f8e0f9452b2d3dcdf56fd49461be5edcb21ae9a9a16f36df8c2f09fdfd7262"}