{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:5P5U7RC35PM3AWDQVEQTHVTJYC","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":"17d3ace6d31554be7eabe2e2f8f262d63bca944e99592daa576ec60cbe0d8f17","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2024-11-20T08:35:28Z","title_canon_sha256":"1ae03756604084f6d7d8592477fd86c6e725726d7470a40fb643dc3cf9ab30ab"},"schema_version":"1.0","source":{"id":"2411.13124","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.13124","created_at":"2026-07-05T10:52:38Z"},{"alias_kind":"arxiv_version","alias_value":"2411.13124v2","created_at":"2026-07-05T10:52:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.13124","created_at":"2026-07-05T10:52:38Z"},{"alias_kind":"pith_short_12","alias_value":"5P5U7RC35PM3","created_at":"2026-07-05T10:52:38Z"},{"alias_kind":"pith_short_16","alias_value":"5P5U7RC35PM3AWDQ","created_at":"2026-07-05T10:52:38Z"},{"alias_kind":"pith_short_8","alias_value":"5P5U7RC3","created_at":"2026-07-05T10:52:38Z"}],"graph_snapshots":[{"event_id":"sha256:11ed3ea7e90423c40834c30f3e2b0b1fbf3993829520fb576f0f42b26c53d761","target":"graph","created_at":"2026-07-05T10:52:38Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2411.13124/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a generalisation of norm relations in the group algebra Q[G], where G is a finite group. We give some properties of these relations, and use them to obtain relations between the S-unit groups of different subfields of the same Galois extension of Q, of Galois group G. Then we deduce an algorithm to compute the class groups of some number fields by reducing the problem to fields of lower degree. We compute the class groups of some large number fields.","authors_text":"CANARI), Fabrice Etienne (IMB, UB","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2024-11-20T08:35:28Z","title":"Computing class groups by induction with generalised norm relations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.13124","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":"sha256:68690a02c03f8090fc47cd96e0f8d79dd3f95fd8d212375d93610b08705a990f","target":"record","created_at":"2026-07-05T10:52:38Z","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":"17d3ace6d31554be7eabe2e2f8f262d63bca944e99592daa576ec60cbe0d8f17","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2024-11-20T08:35:28Z","title_canon_sha256":"1ae03756604084f6d7d8592477fd86c6e725726d7470a40fb643dc3cf9ab30ab"},"schema_version":"1.0","source":{"id":"2411.13124","kind":"arxiv","version":2}},"canonical_sha256":"ebfb4fc45bebd9b05870a92133d669c0960cc388efa51034e362576e9ceb1126","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ebfb4fc45bebd9b05870a92133d669c0960cc388efa51034e362576e9ceb1126","first_computed_at":"2026-07-05T10:52:38.499073Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:52:38.499073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p9Ztv39Uxk7jtpDGg8N6g8RUVwguOYIPBXkHn8wua5EOtIfXgUfgnG/VFKPj/uSC/QEOFn3i4HyDm0D6y4OABQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:52:38.499536Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.13124","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68690a02c03f8090fc47cd96e0f8d79dd3f95fd8d212375d93610b08705a990f","sha256:11ed3ea7e90423c40834c30f3e2b0b1fbf3993829520fb576f0f42b26c53d761"],"state_sha256":"d7b1ddc0c407846f36fbe810ca8e26a4a26cb64147d7b6554c81a7a6b203b386"}