{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5JCFUGCYHVXI5INRVS6S4FR4O2","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":"f46ba2762575c69646f55003b8e3f00697876381d2afa4981cd06b9981096164","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-07-27T18:02:46Z","title_canon_sha256":"b6ba9b254d1115f8878cfc0ad8aa57de38f9721fdbb093f097177a1bd56a7eb7"},"schema_version":"1.0","source":{"id":"1707.08980","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.08980","created_at":"2026-05-18T00:32:08Z"},{"alias_kind":"arxiv_version","alias_value":"1707.08980v1","created_at":"2026-05-18T00:32:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.08980","created_at":"2026-05-18T00:32:08Z"},{"alias_kind":"pith_short_12","alias_value":"5JCFUGCYHVXI","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"5JCFUGCYHVXI5INR","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"5JCFUGCY","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:3d689da9a5ad171b1d0ede65b16325797dda5523052ff8d549ead1751eea5851","target":"graph","created_at":"2026-05-18T00:32:08Z","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 calculate the vacuum stability conditions and renormalisation group equations for the extensions of standard model with a higher colour multiplet scalar up to the representation $\\mathbf{15'}$ that leaves the strong interaction asymptotically free. In order to find the vacuum stability conditions, we calculate the orbit spaces for the self-couplings of the higher multiplets, which for the representations $\\mathbf{15}$ and $\\mathbf{15'}$ of $SU(3)_c$ are highly complicated. However, if the scalar potential is linear in orbit space variables, it is sufficient to know the convex hull of the or","authors_text":"Florian Lyonnet, Hardi Veerm\\\"ae, Kimmo Tuominen, Kristjan Kannike, Martti Raidal, Matti Heikinheimo","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-07-27T18:02:46Z","title":"Vacuum Stability and Perturbativity of SU(3) Scalars"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.08980","kind":"arxiv","version":1},"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:f9f9670adf81ebc4203a945015c7f872da1a1c7c36b372d6c1ee7a88f875514b","target":"record","created_at":"2026-05-18T00:32:08Z","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":"f46ba2762575c69646f55003b8e3f00697876381d2afa4981cd06b9981096164","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-07-27T18:02:46Z","title_canon_sha256":"b6ba9b254d1115f8878cfc0ad8aa57de38f9721fdbb093f097177a1bd56a7eb7"},"schema_version":"1.0","source":{"id":"1707.08980","kind":"arxiv","version":1}},"canonical_sha256":"ea445a18583d6e8ea1b1acbd2e163c76866b1f4a1bead9851a4496c3b939a28a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea445a18583d6e8ea1b1acbd2e163c76866b1f4a1bead9851a4496c3b939a28a","first_computed_at":"2026-05-18T00:32:08.250351Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:08.250351Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UmP6ql/RVc234sHVmN4ntpYvdcHxNfDqjDdQqQ5ZC2FlIB8XoY0WlfftTmr+lqpK0XsvJyXACtWVnNxYsZQUDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:08.250902Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.08980","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9f9670adf81ebc4203a945015c7f872da1a1c7c36b372d6c1ee7a88f875514b","sha256:3d689da9a5ad171b1d0ede65b16325797dda5523052ff8d549ead1751eea5851"],"state_sha256":"27c26a277a85f19b117c6208a563f086deb2be910b70b779e5ebb0411ab02dfa"}