{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:LEETHGHFQNKCNJSREB2DUJCBWM","short_pith_number":"pith:LEETHGHF","schema_version":"1.0","canonical_sha256":"59093398e5835426a65120743a2441b3364a36e6ea349317d67af9f7db2a91be","source":{"kind":"arxiv","id":"2211.10249","version":2},"attestation_state":"computed","paper":{"title":"Criticality of the $O(N)$ universality via global solutions to nonperturbative fixed-point equations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Chuang Huang, Wei-jie Fu, Yang-yang Tan, Yong-rui Chen","submitted_at":"2022-11-18T14:10:20Z","abstract_excerpt":"Fixed-point equations in the functional renormalization group approach are integrated from large to vanishing field, where an asymptotic potential in the limit of large field is implemented as initial conditions. This approach allows us to obtain a global fixed-point potential with high numerical accuracy, that incorporates the correct asymptotic behavior in the limit of large field. Our calculated global potential is in good agreement with the Taylor expansion in the region of small field, and it also coincides with the Laurent expansion in the regime of large field. Laurent expansion of the "},"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":"2211.10249","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-11-18T14:10:20Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"adaf522f4358b4e1e4a898c31fc8e838e75cb5c73a153a71f521cab4f0a5f14f","abstract_canon_sha256":"4b2c085ce8cc5cde8ab3e896b0ed58b6a618fc335c3727adc208b2bc76bce0a3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:59:05.068695Z","signature_b64":"BeMYGXj2V5RtO9U4awGqXuH/GP+fgibs39jR6aFdiHvBf5fXwI8ONvr/d0e1NViC7oNfwoGHg3iYAFR7Kd7KDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"59093398e5835426a65120743a2441b3364a36e6ea349317d67af9f7db2a91be","last_reissued_at":"2026-07-05T05:59:05.068177Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:59:05.068177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Criticality of the $O(N)$ universality via global solutions to nonperturbative fixed-point equations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Chuang Huang, Wei-jie Fu, Yang-yang Tan, Yong-rui Chen","submitted_at":"2022-11-18T14:10:20Z","abstract_excerpt":"Fixed-point equations in the functional renormalization group approach are integrated from large to vanishing field, where an asymptotic potential in the limit of large field is implemented as initial conditions. This approach allows us to obtain a global fixed-point potential with high numerical accuracy, that incorporates the correct asymptotic behavior in the limit of large field. Our calculated global potential is in good agreement with the Taylor expansion in the region of small field, and it also coincides with the Laurent expansion in the regime of large field. Laurent expansion of the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.10249","kind":"arxiv","version":2},"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/2211.10249/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":"2211.10249","created_at":"2026-07-05T05:59:05.068234+00:00"},{"alias_kind":"arxiv_version","alias_value":"2211.10249v2","created_at":"2026-07-05T05:59:05.068234+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.10249","created_at":"2026-07-05T05:59:05.068234+00:00"},{"alias_kind":"pith_short_12","alias_value":"LEETHGHFQNKC","created_at":"2026-07-05T05:59:05.068234+00:00"},{"alias_kind":"pith_short_16","alias_value":"LEETHGHFQNKCNJSR","created_at":"2026-07-05T05:59:05.068234+00:00"},{"alias_kind":"pith_short_8","alias_value":"LEETHGHF","created_at":"2026-07-05T05:59:05.068234+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/LEETHGHFQNKCNJSREB2DUJCBWM","json":"https://pith.science/pith/LEETHGHFQNKCNJSREB2DUJCBWM.json","graph_json":"https://pith.science/api/pith-number/LEETHGHFQNKCNJSREB2DUJCBWM/graph.json","events_json":"https://pith.science/api/pith-number/LEETHGHFQNKCNJSREB2DUJCBWM/events.json","paper":"https://pith.science/paper/LEETHGHF"},"agent_actions":{"view_html":"https://pith.science/pith/LEETHGHFQNKCNJSREB2DUJCBWM","download_json":"https://pith.science/pith/LEETHGHFQNKCNJSREB2DUJCBWM.json","view_paper":"https://pith.science/paper/LEETHGHF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2211.10249&json=true","fetch_graph":"https://pith.science/api/pith-number/LEETHGHFQNKCNJSREB2DUJCBWM/graph.json","fetch_events":"https://pith.science/api/pith-number/LEETHGHFQNKCNJSREB2DUJCBWM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LEETHGHFQNKCNJSREB2DUJCBWM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LEETHGHFQNKCNJSREB2DUJCBWM/action/storage_attestation","attest_author":"https://pith.science/pith/LEETHGHFQNKCNJSREB2DUJCBWM/action/author_attestation","sign_citation":"https://pith.science/pith/LEETHGHFQNKCNJSREB2DUJCBWM/action/citation_signature","submit_replication":"https://pith.science/pith/LEETHGHFQNKCNJSREB2DUJCBWM/action/replication_record"}},"created_at":"2026-07-05T05:59:05.068234+00:00","updated_at":"2026-07-05T05:59:05.068234+00:00"}