{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:YP2HRFFFTVABSGWQ7ZEZ65FRZF","short_pith_number":"pith:YP2HRFFF","schema_version":"1.0","canonical_sha256":"c3f47894a59d40191ad0fe499f74b1c97cf44d02b14c8534e19169df2c0fdc46","source":{"kind":"arxiv","id":"2107.02528","version":1},"attestation_state":"computed","paper":{"title":"More on the cubic versus quartic interaction equivalence in the $O(N)$ model","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-lat","hep-ph"],"primary_cat":"hep-th","authors_text":"Chen Zhang, Francesco Sannino, Jahmall Bersini, Oleg Antipin, Zhi-Wei Wang","submitted_at":"2021-07-06T10:39:33Z","abstract_excerpt":"We compute the scaling dimensions of a family of fixed-charge operators at the infrared fixed point of the $O(N)$ model featuring cubic interactions in $d=6-\\epsilon$ for arbitrary $N$ to leading and subleading order in the charge but to all orders in the couplings. The results are used to analyze the conjectured equivalence with the $O(N)$ model displaying quartic interactions at its ultraviolet fixed point. This is performed by comparing the cubic model scaling dimensions against the known large $N$ results for the quartic model and demonstrating that they match. Our results reinforce the co"},"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":"2107.02528","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"hep-th","submitted_at":"2021-07-06T10:39:33Z","cross_cats_sorted":["cond-mat.stat-mech","hep-lat","hep-ph"],"title_canon_sha256":"016f13d8b0143d2c2038d2c7a5164b6da2208006c05bcf1ad43d39eb8a517066","abstract_canon_sha256":"73eab1e3c6695d76d0d2fc7608d69078ea904f51440c18fce645ae9ca4f1ca2c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:21:54.126970Z","signature_b64":"d+W/YXNSPQeYtSXRsTCg3SGzjIg8/NBGuHp2J9jnxP7TaB1X7YtHocc1afO0ssfX5TZof1qPK9DIhgBaEPEjDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3f47894a59d40191ad0fe499f74b1c97cf44d02b14c8534e19169df2c0fdc46","last_reissued_at":"2026-07-05T03:21:54.126494Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:21:54.126494Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"More on the cubic versus quartic interaction equivalence in the $O(N)$ model","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-lat","hep-ph"],"primary_cat":"hep-th","authors_text":"Chen Zhang, Francesco Sannino, Jahmall Bersini, Oleg Antipin, Zhi-Wei Wang","submitted_at":"2021-07-06T10:39:33Z","abstract_excerpt":"We compute the scaling dimensions of a family of fixed-charge operators at the infrared fixed point of the $O(N)$ model featuring cubic interactions in $d=6-\\epsilon$ for arbitrary $N$ to leading and subleading order in the charge but to all orders in the couplings. The results are used to analyze the conjectured equivalence with the $O(N)$ model displaying quartic interactions at its ultraviolet fixed point. This is performed by comparing the cubic model scaling dimensions against the known large $N$ results for the quartic model and demonstrating that they match. Our results reinforce the co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.02528","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2107.02528/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2107.02528","created_at":"2026-07-05T03:21:54.126552+00:00"},{"alias_kind":"arxiv_version","alias_value":"2107.02528v1","created_at":"2026-07-05T03:21:54.126552+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.02528","created_at":"2026-07-05T03:21:54.126552+00:00"},{"alias_kind":"pith_short_12","alias_value":"YP2HRFFFTVAB","created_at":"2026-07-05T03:21:54.126552+00:00"},{"alias_kind":"pith_short_16","alias_value":"YP2HRFFFTVABSGWQ","created_at":"2026-07-05T03:21:54.126552+00:00"},{"alias_kind":"pith_short_8","alias_value":"YP2HRFFF","created_at":"2026-07-05T03:21:54.126552+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.13464","citing_title":"Four-loop Anomalous Dimensions of Scalar-QED Theory from Operator Product Expansion","ref_index":44,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YP2HRFFFTVABSGWQ7ZEZ65FRZF","json":"https://pith.science/pith/YP2HRFFFTVABSGWQ7ZEZ65FRZF.json","graph_json":"https://pith.science/api/pith-number/YP2HRFFFTVABSGWQ7ZEZ65FRZF/graph.json","events_json":"https://pith.science/api/pith-number/YP2HRFFFTVABSGWQ7ZEZ65FRZF/events.json","paper":"https://pith.science/paper/YP2HRFFF"},"agent_actions":{"view_html":"https://pith.science/pith/YP2HRFFFTVABSGWQ7ZEZ65FRZF","download_json":"https://pith.science/pith/YP2HRFFFTVABSGWQ7ZEZ65FRZF.json","view_paper":"https://pith.science/paper/YP2HRFFF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2107.02528&json=true","fetch_graph":"https://pith.science/api/pith-number/YP2HRFFFTVABSGWQ7ZEZ65FRZF/graph.json","fetch_events":"https://pith.science/api/pith-number/YP2HRFFFTVABSGWQ7ZEZ65FRZF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YP2HRFFFTVABSGWQ7ZEZ65FRZF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YP2HRFFFTVABSGWQ7ZEZ65FRZF/action/storage_attestation","attest_author":"https://pith.science/pith/YP2HRFFFTVABSGWQ7ZEZ65FRZF/action/author_attestation","sign_citation":"https://pith.science/pith/YP2HRFFFTVABSGWQ7ZEZ65FRZF/action/citation_signature","submit_replication":"https://pith.science/pith/YP2HRFFFTVABSGWQ7ZEZ65FRZF/action/replication_record"}},"created_at":"2026-07-05T03:21:54.126552+00:00","updated_at":"2026-07-05T03:21:54.126552+00:00"}