{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:LXUPP3OHGYQSWRSYOEFPBBTG2J","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":"8a5e753768c8aa94021b7ee719ca938361ec99ff8f2a81a0229ef5e126b3c8a4","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-06-20T13:10:51Z","title_canon_sha256":"f4c5889968f09bf53e485e173c50da6e81199a87370a38cae4eede00a7a55ac9"},"schema_version":"1.0","source":{"id":"1706.06402","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.06402","created_at":"2026-05-18T00:20:06Z"},{"alias_kind":"arxiv_version","alias_value":"1706.06402v1","created_at":"2026-05-18T00:20:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.06402","created_at":"2026-05-18T00:20:06Z"},{"alias_kind":"pith_short_12","alias_value":"LXUPP3OHGYQS","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"LXUPP3OHGYQSWRSY","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"LXUPP3OH","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:935f2bdeb1a5f28ffbbc73e2ef561cd7d54c80e61e11d34548cb17da0b0ae877","target":"graph","created_at":"2026-05-18T00:20:06Z","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 determine the phase diagram of complete asymptotically free SU($N_c$) gauge theories featuring $N_s$ complex scalars and $N_f$ Dirac quarks transforming according to the fundamental representation of the gauge group. The analysis is performed at the maximum known order in perturbation theory. We unveil a very rich dynamics and associated phase structure. Intriguingly we discover that the complete asymptotically free conditions guarantee that the infrared dynamics displays long distance conformality, and in a regime when perturbation theory is applicable. We conclude our analysis by determin","authors_text":"Francesco Sannino, Frederik F. Hansen, Kasper Langaeble, Robert B. Mann, Tadeusz Janowski, Tom G. Steele, Zhi-Wei Wang","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-06-20T13:10:51Z","title":"Phase structure of complete asymptotically free SU($N_c$) theories with quarks and scalar quarks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.06402","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":"sha256:71ab094cf89bc3c17f319fa6d8f74c2b47b3692e45edd3d999f33b9aedd4284d","target":"record","created_at":"2026-05-18T00:20:06Z","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":"8a5e753768c8aa94021b7ee719ca938361ec99ff8f2a81a0229ef5e126b3c8a4","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-06-20T13:10:51Z","title_canon_sha256":"f4c5889968f09bf53e485e173c50da6e81199a87370a38cae4eede00a7a55ac9"},"schema_version":"1.0","source":{"id":"1706.06402","kind":"arxiv","version":1}},"canonical_sha256":"5de8f7edc736212b4658710af08666d2456d52293002c13e33050a0ea925fa83","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5de8f7edc736212b4658710af08666d2456d52293002c13e33050a0ea925fa83","first_computed_at":"2026-05-18T00:20:06.831868Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:06.831868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U6UtIlVLu9VbSD4GSx1MCMC3+LLOzQySBTexTNS2RWbS2lZAAy66dmlgbAehmQ1HpEz6sZjs2BDuLmGYcMbpBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:06.832517Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.06402","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:71ab094cf89bc3c17f319fa6d8f74c2b47b3692e45edd3d999f33b9aedd4284d","sha256:935f2bdeb1a5f28ffbbc73e2ef561cd7d54c80e61e11d34548cb17da0b0ae877"],"state_sha256":"376649cacddb77f072a20910d6c0cc574316af0ce8b45efbeba314284059b4fc"}