{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:PDV724DRUMVJDLXWI4PUPNHUK6","short_pith_number":"pith:PDV724DR","schema_version":"1.0","canonical_sha256":"78ebfd7071a32a91aef6471f47b4f457afbfccc71d50e40a02b939868295afd5","source":{"kind":"arxiv","id":"2304.01710","version":2},"attestation_state":"computed","paper":{"title":"Scaling functions of the three-dimensional $Z(2)$, $O(2)$ and $O(4)$ models and their finite size dependence in an external field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-ph"],"primary_cat":"hep-lat","authors_text":"Frithjof Karsch, Marius Neumann, Mugdha Sarkar","submitted_at":"2023-04-04T11:14:53Z","abstract_excerpt":"We analyze scaling functions in the $3$-$d$, $Z(2)$, $O(2)$ and $O(4)$ universality classes and their finite size dependence using Monte Carlo simulations of improved $\\phi^4$ models. Results for the scaling functions are fitted to the Widom-Griffiths form, using a parametrization also used in analytic calculations. We find good agreement on the level of scaling functions and the location of maxima in the universal part of susceptibilities. We also find that an earlier parametrization of the $O(4)$ scaling function, using 14 parameters, is well reproduced when using the Widom-Griffiths form wi"},"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":"2304.01710","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2023-04-04T11:14:53Z","cross_cats_sorted":["cond-mat.stat-mech","hep-ph"],"title_canon_sha256":"f76833caa10ac8c5336a99797c58335333210e01899338c65a269cfcfa0913a5","abstract_canon_sha256":"ac484168c94d910025c883660f00c694c7e1e5b334aff79e3130bf1be72ebd05"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:33:33.051911Z","signature_b64":"TV1r5XRN3BNJ71mKtI05o4bl1zVjem629xK7iRXJrUB8rK4gqkFTplJYFgwyYVqJaCDFnBRa5sHmMJ4Jz6U/Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"78ebfd7071a32a91aef6471f47b4f457afbfccc71d50e40a02b939868295afd5","last_reissued_at":"2026-07-05T06:33:33.051570Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:33:33.051570Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Scaling functions of the three-dimensional $Z(2)$, $O(2)$ and $O(4)$ models and their finite size dependence in an external field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-ph"],"primary_cat":"hep-lat","authors_text":"Frithjof Karsch, Marius Neumann, Mugdha Sarkar","submitted_at":"2023-04-04T11:14:53Z","abstract_excerpt":"We analyze scaling functions in the $3$-$d$, $Z(2)$, $O(2)$ and $O(4)$ universality classes and their finite size dependence using Monte Carlo simulations of improved $\\phi^4$ models. Results for the scaling functions are fitted to the Widom-Griffiths form, using a parametrization also used in analytic calculations. We find good agreement on the level of scaling functions and the location of maxima in the universal part of susceptibilities. We also find that an earlier parametrization of the $O(4)$ scaling function, using 14 parameters, is well reproduced when using the Widom-Griffiths form wi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.01710","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/2304.01710/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":"2304.01710","created_at":"2026-07-05T06:33:33.051625+00:00"},{"alias_kind":"arxiv_version","alias_value":"2304.01710v2","created_at":"2026-07-05T06:33:33.051625+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.01710","created_at":"2026-07-05T06:33:33.051625+00:00"},{"alias_kind":"pith_short_12","alias_value":"PDV724DRUMVJ","created_at":"2026-07-05T06:33:33.051625+00:00"},{"alias_kind":"pith_short_16","alias_value":"PDV724DRUMVJDLXW","created_at":"2026-07-05T06:33:33.051625+00:00"},{"alias_kind":"pith_short_8","alias_value":"PDV724DR","created_at":"2026-07-05T06:33:33.051625+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2508.19337","citing_title":"Finite-volume analysis and universal scaling signatures near the chiral phase transition in (2+1)-flavor QCD","ref_index":5,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PDV724DRUMVJDLXWI4PUPNHUK6","json":"https://pith.science/pith/PDV724DRUMVJDLXWI4PUPNHUK6.json","graph_json":"https://pith.science/api/pith-number/PDV724DRUMVJDLXWI4PUPNHUK6/graph.json","events_json":"https://pith.science/api/pith-number/PDV724DRUMVJDLXWI4PUPNHUK6/events.json","paper":"https://pith.science/paper/PDV724DR"},"agent_actions":{"view_html":"https://pith.science/pith/PDV724DRUMVJDLXWI4PUPNHUK6","download_json":"https://pith.science/pith/PDV724DRUMVJDLXWI4PUPNHUK6.json","view_paper":"https://pith.science/paper/PDV724DR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2304.01710&json=true","fetch_graph":"https://pith.science/api/pith-number/PDV724DRUMVJDLXWI4PUPNHUK6/graph.json","fetch_events":"https://pith.science/api/pith-number/PDV724DRUMVJDLXWI4PUPNHUK6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PDV724DRUMVJDLXWI4PUPNHUK6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PDV724DRUMVJDLXWI4PUPNHUK6/action/storage_attestation","attest_author":"https://pith.science/pith/PDV724DRUMVJDLXWI4PUPNHUK6/action/author_attestation","sign_citation":"https://pith.science/pith/PDV724DRUMVJDLXWI4PUPNHUK6/action/citation_signature","submit_replication":"https://pith.science/pith/PDV724DRUMVJDLXWI4PUPNHUK6/action/replication_record"}},"created_at":"2026-07-05T06:33:33.051625+00:00","updated_at":"2026-07-05T06:33:33.051625+00:00"}