{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:E6FAJV7A3AS7LDTBMZ7VBBMAIE","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":"970fb4c7f6cf727a4a96327083e514147197fe745041ddceff87147f932047ff","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-12-07T15:17:53Z","title_canon_sha256":"d824051c5a0d628460aee1c77192fe1dfdb94fde908a336a1014560521313fd5"},"schema_version":"1.0","source":{"id":"0912.0937","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.0937","created_at":"2026-05-18T02:33:57Z"},{"alias_kind":"arxiv_version","alias_value":"0912.0937v2","created_at":"2026-05-18T02:33:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.0937","created_at":"2026-05-18T02:33:57Z"},{"alias_kind":"pith_short_12","alias_value":"E6FAJV7A3AS7","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"E6FAJV7A3AS7LDTB","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"E6FAJV7A","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:09d886ab9dc1f476e5d79bad41c9f96774b0a926e49548fc88692a8a4771d1aa","target":"graph","created_at":"2026-05-18T02:33:57Z","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":"This article classifies Little Higgs models that have collective quartic couplings. There are two classes of collective quartics: Special Cosets and Special Quartics. After taking into account dangerous singlets, the smallest Special Coset models are SU(5)/SO(5) and SU(6)/Sp(6). The smallest Special Quartic model is SU(5)/SU(3) x SU(2) x U(1) and has not previously been considered as a candidate Little Higgs model.","authors_text":"Anson Hook, Jay G. Wacker","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-12-07T15:17:53Z","title":"Collective Quartics from Simple Groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.0937","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":"sha256:5fe833c956edbc6751bffd2d521a23867a7bb50300fe5493cc99c9c9afe1ef43","target":"record","created_at":"2026-05-18T02:33:57Z","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":"970fb4c7f6cf727a4a96327083e514147197fe745041ddceff87147f932047ff","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-12-07T15:17:53Z","title_canon_sha256":"d824051c5a0d628460aee1c77192fe1dfdb94fde908a336a1014560521313fd5"},"schema_version":"1.0","source":{"id":"0912.0937","kind":"arxiv","version":2}},"canonical_sha256":"278a04d7e0d825f58e61667f508580412b7d3464640b9864608c3d3adf42487e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"278a04d7e0d825f58e61667f508580412b7d3464640b9864608c3d3adf42487e","first_computed_at":"2026-05-18T02:33:57.521276Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:57.521276Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"opDbvlosqHGeok1bKDXsK51dsw4I7sAfb9FkhqGeICu5efzlvsgsjIMlpXxrXjWXQ6r0zhkQaQMtyt2txThZBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:57.521690Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.0937","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5fe833c956edbc6751bffd2d521a23867a7bb50300fe5493cc99c9c9afe1ef43","sha256:09d886ab9dc1f476e5d79bad41c9f96774b0a926e49548fc88692a8a4771d1aa"],"state_sha256":"73ff89e4c5711f077155e4b32af5f08216e75bb26c4a943a6388cf5372d7e61b"}