{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:HHJ6R2RAACWR7XGPVXAKRW26LZ","short_pith_number":"pith:HHJ6R2RA","schema_version":"1.0","canonical_sha256":"39d3e8ea2000ad1fdccfadc0a8db5e5e77e2211a5347c16ff451b38d35a25957","source":{"kind":"arxiv","id":"1510.00169","version":1},"attestation_state":"computed","paper":{"title":"Functional renormalization group approach to non-collinear magnets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"B. Delamotte, D. Mouhanna, M. Dudka, S. Yabunaka","submitted_at":"2015-10-01T10:07:16Z","abstract_excerpt":"A functional renormalization group approach to $d$-dimensional, $N$-component, non-collinear magnets is performed using various truncations of the effective action relevant to study their long distance behavior. With help of these truncations we study the existence of a stable fixed point for dimensions between $d= 2.8$ and $d=4$ for various values of $N$ focusing on the critical value $N_c(d)$ that, for a given dimension $d$, separates a first order region for $N<N_c(d)$ from a second order region for $N>N_c(d)$. Our approach concludes to the absence of stable fixed point in the physical - $N"},"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":"1510.00169","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-10-01T10:07:16Z","cross_cats_sorted":[],"title_canon_sha256":"98ae76750513608fe3e429e5c0ca13dbee501a8afa3a7bded30960e3d61dc9f0","abstract_canon_sha256":"b09856e5b1440bb3b5440e80ed58cfbc909c14846bc9d8f4ecadee6b3073eca4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:22.863516Z","signature_b64":"6rRlq05a19Pf24ZWnEXZAYiyZQ3Fh85dBlfOzeYZaM6jHqnwUCKx+N1MQ4dGXVO0nK4T6qB+z/cWrkyFcIjIAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"39d3e8ea2000ad1fdccfadc0a8db5e5e77e2211a5347c16ff451b38d35a25957","last_reissued_at":"2026-05-18T01:21:22.862896Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:22.862896Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Functional renormalization group approach to non-collinear magnets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"B. Delamotte, D. Mouhanna, M. Dudka, S. Yabunaka","submitted_at":"2015-10-01T10:07:16Z","abstract_excerpt":"A functional renormalization group approach to $d$-dimensional, $N$-component, non-collinear magnets is performed using various truncations of the effective action relevant to study their long distance behavior. With help of these truncations we study the existence of a stable fixed point for dimensions between $d= 2.8$ and $d=4$ for various values of $N$ focusing on the critical value $N_c(d)$ that, for a given dimension $d$, separates a first order region for $N<N_c(d)$ from a second order region for $N>N_c(d)$. Our approach concludes to the absence of stable fixed point in the physical - $N"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.00169","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":"1510.00169","created_at":"2026-05-18T01:21:22.862984+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.00169v1","created_at":"2026-05-18T01:21:22.862984+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.00169","created_at":"2026-05-18T01:21:22.862984+00:00"},{"alias_kind":"pith_short_12","alias_value":"HHJ6R2RAACWR","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_16","alias_value":"HHJ6R2RAACWR7XGP","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_8","alias_value":"HHJ6R2RA","created_at":"2026-05-18T12:29:25.134429+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HHJ6R2RAACWR7XGPVXAKRW26LZ","json":"https://pith.science/pith/HHJ6R2RAACWR7XGPVXAKRW26LZ.json","graph_json":"https://pith.science/api/pith-number/HHJ6R2RAACWR7XGPVXAKRW26LZ/graph.json","events_json":"https://pith.science/api/pith-number/HHJ6R2RAACWR7XGPVXAKRW26LZ/events.json","paper":"https://pith.science/paper/HHJ6R2RA"},"agent_actions":{"view_html":"https://pith.science/pith/HHJ6R2RAACWR7XGPVXAKRW26LZ","download_json":"https://pith.science/pith/HHJ6R2RAACWR7XGPVXAKRW26LZ.json","view_paper":"https://pith.science/paper/HHJ6R2RA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.00169&json=true","fetch_graph":"https://pith.science/api/pith-number/HHJ6R2RAACWR7XGPVXAKRW26LZ/graph.json","fetch_events":"https://pith.science/api/pith-number/HHJ6R2RAACWR7XGPVXAKRW26LZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HHJ6R2RAACWR7XGPVXAKRW26LZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HHJ6R2RAACWR7XGPVXAKRW26LZ/action/storage_attestation","attest_author":"https://pith.science/pith/HHJ6R2RAACWR7XGPVXAKRW26LZ/action/author_attestation","sign_citation":"https://pith.science/pith/HHJ6R2RAACWR7XGPVXAKRW26LZ/action/citation_signature","submit_replication":"https://pith.science/pith/HHJ6R2RAACWR7XGPVXAKRW26LZ/action/replication_record"}},"created_at":"2026-05-18T01:21:22.862984+00:00","updated_at":"2026-05-18T01:21:22.862984+00:00"}