{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:FEP2PH7ZRBCOJDS4QM565WHPOO","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":"1195109b501212c85824c2e38c3cb2230194329794d48406806fc0b12b74a7d9","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-06-29T19:19:29Z","title_canon_sha256":"08e68ebfbb95608d03c33a8dc4519e19a0f07949f4057449b9216a5f8d476d67"},"schema_version":"1.0","source":{"id":"1206.7108","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.7108","created_at":"2026-05-18T03:39:43Z"},{"alias_kind":"arxiv_version","alias_value":"1206.7108v2","created_at":"2026-05-18T03:39:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.7108","created_at":"2026-05-18T03:39:43Z"},{"alias_kind":"pith_short_12","alias_value":"FEP2PH7ZRBCO","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FEP2PH7ZRBCOJDS4","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FEP2PH7Z","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:ff5f0691da7f3c613dd381cc51408ccabe6ddacfe827725d70945741278f8bc3","target":"graph","created_at":"2026-05-18T03:39:43Z","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":"N-Higgs-doublet models (NHDM) are among the most popular examples of electroweak symmetry breaking mechanisms beyond the Standard Model. Discrete symmetries imposed on the NHDM scalar potential play a pivotal role in shaping the phenomenology of the model, and various symmetry groups have been studied so far. However, in spite of all efforts, the classification of finite Higgs-family symmetry groups realizable in NHDM for any N>2 is still missing. Here, we solve this problem for the three-Higgs-doublet model by making use of Burnside's theorem and other results from pure finite group theory wh","authors_text":"E. Vdovin, I. P. Ivanov","cross_cats":["math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-06-29T19:19:29Z","title":"Discrete symmetries in the three-Higgs-doublet model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.7108","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":"sha256:59ab73e7bb094c1777ac441633f4ba82d2302f5943477053c95ff554a3dbca74","target":"record","created_at":"2026-05-18T03:39:43Z","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":"1195109b501212c85824c2e38c3cb2230194329794d48406806fc0b12b74a7d9","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-06-29T19:19:29Z","title_canon_sha256":"08e68ebfbb95608d03c33a8dc4519e19a0f07949f4057449b9216a5f8d476d67"},"schema_version":"1.0","source":{"id":"1206.7108","kind":"arxiv","version":2}},"canonical_sha256":"291fa79ff98844e48e5c833beed8ef73a465bc38b17ee59842a00196ad08d172","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"291fa79ff98844e48e5c833beed8ef73a465bc38b17ee59842a00196ad08d172","first_computed_at":"2026-05-18T03:39:43.473027Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:39:43.473027Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"09na5Tm08JLBWJzdhCl1vd7bXoRqQSAESxG2QTwHyOxs+v9JhK1vqlnsWWQcWRgZZ8lI8IzYbQe5YStkBoZHAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:39:43.473483Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.7108","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:59ab73e7bb094c1777ac441633f4ba82d2302f5943477053c95ff554a3dbca74","sha256:ff5f0691da7f3c613dd381cc51408ccabe6ddacfe827725d70945741278f8bc3"],"state_sha256":"54c71e2dde42377b246e9bc4a0c84ec72d5636a992ee88bcc1bf61d5f502f46b"}