{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:5JCFUGCYHVXI5INRVS6S4FR4O2","short_pith_number":"pith:5JCFUGCY","schema_version":"1.0","canonical_sha256":"ea445a18583d6e8ea1b1acbd2e163c76866b1f4a1bead9851a4496c3b939a28a","source":{"kind":"arxiv","id":"1707.08980","version":1},"attestation_state":"computed","paper":{"title":"Vacuum Stability and Perturbativity of SU(3) Scalars","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Florian Lyonnet, Hardi Veerm\\\"ae, Kimmo Tuominen, Kristjan Kannike, Martti Raidal, Matti Heikinheimo","submitted_at":"2017-07-27T18:02:46Z","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1707.08980","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-07-27T18:02:46Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"b6ba9b254d1115f8878cfc0ad8aa57de38f9721fdbb093f097177a1bd56a7eb7","abstract_canon_sha256":"f46ba2762575c69646f55003b8e3f00697876381d2afa4981cd06b9981096164"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:08.250902Z","signature_b64":"UmP6ql/RVc234sHVmN4ntpYvdcHxNfDqjDdQqQ5ZC2FlIB8XoY0WlfftTmr+lqpK0XsvJyXACtWVnNxYsZQUDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea445a18583d6e8ea1b1acbd2e163c76866b1f4a1bead9851a4496c3b939a28a","last_reissued_at":"2026-05-18T00:32:08.250351Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:08.250351Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Vacuum Stability and Perturbativity of SU(3) Scalars","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Florian Lyonnet, Hardi Veerm\\\"ae, Kimmo Tuominen, Kristjan Kannike, Martti Raidal, Matti Heikinheimo","submitted_at":"2017-07-27T18:02:46Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.08980","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1707.08980","created_at":"2026-05-18T00:32:08.250434+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.08980v1","created_at":"2026-05-18T00:32:08.250434+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.08980","created_at":"2026-05-18T00:32:08.250434+00:00"},{"alias_kind":"pith_short_12","alias_value":"5JCFUGCYHVXI","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_16","alias_value":"5JCFUGCYHVXI5INR","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_8","alias_value":"5JCFUGCY","created_at":"2026-05-18T12:31:00.734936+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2605.15267","citing_title":"Hierarchies from Higher Flavor Spin","ref_index":33,"is_internal_anchor":true},{"citing_arxiv_id":"2507.17870","citing_title":"On the addition of an $SU(2)$ quadruplet of scalars to the Standard Model","ref_index":17,"is_internal_anchor":true},{"citing_arxiv_id":"2605.07651","citing_title":"Conditions for boundedness from below of a $\\Delta(54)$-symmetric three-Higgs-doublet model","ref_index":16,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5JCFUGCYHVXI5INRVS6S4FR4O2","json":"https://pith.science/pith/5JCFUGCYHVXI5INRVS6S4FR4O2.json","graph_json":"https://pith.science/api/pith-number/5JCFUGCYHVXI5INRVS6S4FR4O2/graph.json","events_json":"https://pith.science/api/pith-number/5JCFUGCYHVXI5INRVS6S4FR4O2/events.json","paper":"https://pith.science/paper/5JCFUGCY"},"agent_actions":{"view_html":"https://pith.science/pith/5JCFUGCYHVXI5INRVS6S4FR4O2","download_json":"https://pith.science/pith/5JCFUGCYHVXI5INRVS6S4FR4O2.json","view_paper":"https://pith.science/paper/5JCFUGCY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.08980&json=true","fetch_graph":"https://pith.science/api/pith-number/5JCFUGCYHVXI5INRVS6S4FR4O2/graph.json","fetch_events":"https://pith.science/api/pith-number/5JCFUGCYHVXI5INRVS6S4FR4O2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5JCFUGCYHVXI5INRVS6S4FR4O2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5JCFUGCYHVXI5INRVS6S4FR4O2/action/storage_attestation","attest_author":"https://pith.science/pith/5JCFUGCYHVXI5INRVS6S4FR4O2/action/author_attestation","sign_citation":"https://pith.science/pith/5JCFUGCYHVXI5INRVS6S4FR4O2/action/citation_signature","submit_replication":"https://pith.science/pith/5JCFUGCYHVXI5INRVS6S4FR4O2/action/replication_record"}},"created_at":"2026-05-18T00:32:08.250434+00:00","updated_at":"2026-05-18T00:32:08.250434+00:00"}