{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:S3ZOGCSODKFZC7C7HBZ4UPYXBF","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":"b82c320dc444b987512deb9f9ae0ae040fd8853c9d398f4bb4aadf02531ede08","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-10-23T22:36:22Z","title_canon_sha256":"1da6d2eed1f835c3de6aab218e94f9e54f9f932d6897020fbe08395879e009c4"},"schema_version":"1.0","source":{"id":"1710.08533","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.08533","created_at":"2026-05-18T00:32:15Z"},{"alias_kind":"arxiv_version","alias_value":"1710.08533v1","created_at":"2026-05-18T00:32:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.08533","created_at":"2026-05-18T00:32:15Z"},{"alias_kind":"pith_short_12","alias_value":"S3ZOGCSODKFZ","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"S3ZOGCSODKFZC7C7","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"S3ZOGCSO","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:aff1b203c6f89d4a3c580f3597dea1798df42f713a75517619148735efedcff5","target":"graph","created_at":"2026-05-18T00:32:15Z","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":"The critical behavior of $U(n)$-$\\chi^{4}$-model with antisymmetric tensor order parameter at charged regime is studied by means of the field theoretic renormalization group at the leading order of $\\varepsilon$-expansion (one-loop approximation). It is shown that renormalization group equations have no infrared attractive charged fixed points. It is also shown that anomalous dimension of the order parameter in charged regime appears to be gauge dependent.","authors_text":"M. V. Kompaniets, N. M. Lebedev, N. V. Antonov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-10-23T22:36:22Z","title":"Critical behavior of $U(n)$-$\\chi^{4}$-model with antisymmetric tensor order parameter coupled with magnetic field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.08533","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":"sha256:88aeab06d77a907d525405261468a05d2b2f7fe9563c3a9f84058ce4004d4dc8","target":"record","created_at":"2026-05-18T00:32:15Z","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":"b82c320dc444b987512deb9f9ae0ae040fd8853c9d398f4bb4aadf02531ede08","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-10-23T22:36:22Z","title_canon_sha256":"1da6d2eed1f835c3de6aab218e94f9e54f9f932d6897020fbe08395879e009c4"},"schema_version":"1.0","source":{"id":"1710.08533","kind":"arxiv","version":1}},"canonical_sha256":"96f2e30a4e1a8b917c5f3873ca3f170940ff8cbfa715f619c208726c2a5dbb70","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"96f2e30a4e1a8b917c5f3873ca3f170940ff8cbfa715f619c208726c2a5dbb70","first_computed_at":"2026-05-18T00:32:15.739575Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:15.739575Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a1kZdrqMdPBszEyHBDj0Gh3RI1uvXTsCfzfEOCrfZt+ONT6BJoF9m2BHEl1TkUDJPohFoz8KXPH+VwH5VixuCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:15.740307Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.08533","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:88aeab06d77a907d525405261468a05d2b2f7fe9563c3a9f84058ce4004d4dc8","sha256:aff1b203c6f89d4a3c580f3597dea1798df42f713a75517619148735efedcff5"],"state_sha256":"541829c283eb8e94505f93c1cc091ce8640bcd22542cd36953d37534f3c45df0"}