{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:5X7IU3VYZ44VOU32ORF2E573BA","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":"546e43ff96cf681770a3862a49196dd85e2efa794dffba3a86e1358cacdf5934","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-01-21T07:49:34Z","title_canon_sha256":"85c20282ed4ecf83eb2832cf0f5ba7b384695d044e4a2c0d3180c9ecae3652de"},"schema_version":"1.0","source":{"id":"2101.08484","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.08484","created_at":"2026-07-05T03:14:09Z"},{"alias_kind":"arxiv_version","alias_value":"2101.08484v1","created_at":"2026-07-05T03:14:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.08484","created_at":"2026-07-05T03:14:09Z"},{"alias_kind":"pith_short_12","alias_value":"5X7IU3VYZ44V","created_at":"2026-07-05T03:14:09Z"},{"alias_kind":"pith_short_16","alias_value":"5X7IU3VYZ44VOU32","created_at":"2026-07-05T03:14:09Z"},{"alias_kind":"pith_short_8","alias_value":"5X7IU3VY","created_at":"2026-07-05T03:14:09Z"}],"graph_snapshots":[{"event_id":"sha256:3fdaef3618df1f8211b093e706d5524410bdb98f1b94d4d42f4c7df8909dd1f4","target":"graph","created_at":"2026-07-05T03:14:09Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2101.08484/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work we have studied the QCD phase structure and critical dynamics related to the 3-$d$ $O(4)$ and $Z(2)$ symmetry universality classes in the two-flavor quark-meson low energy effective theory within the functional renormalization group approach. We have employed the expansion of Chebyshev polynomials to solve the flow equation for the order-parameter potential. The chiral phase transition line of $O(4)$ symmetry in the chiral limit, and the $Z(2)$ line of critical end points related to the explicit chiral symmetry breaking are depicted in the phase diagram. Various critical exponents","authors_text":"Rui Wen, Wei-jie Fu, Yong-rui Chen","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-01-21T07:49:34Z","title":"Critical behaviors of the $O(4)$ and $Z(2)$ symmetries in the QCD phase diagram"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.08484","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":"sha256:3aef4a829f4b4ba06658a906ebbe89b654dc287471525832e728a96299886923","target":"record","created_at":"2026-07-05T03:14:09Z","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":"546e43ff96cf681770a3862a49196dd85e2efa794dffba3a86e1358cacdf5934","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-01-21T07:49:34Z","title_canon_sha256":"85c20282ed4ecf83eb2832cf0f5ba7b384695d044e4a2c0d3180c9ecae3652de"},"schema_version":"1.0","source":{"id":"2101.08484","kind":"arxiv","version":1}},"canonical_sha256":"edfe8a6eb8cf3957537a744ba277fb0839738489cc37b3c99dc77ce54de73cb5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"edfe8a6eb8cf3957537a744ba277fb0839738489cc37b3c99dc77ce54de73cb5","first_computed_at":"2026-07-05T03:14:09.395267Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:14:09.395267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fAN7gK5brAh6JOqrdA8daXGCYhYTnVOc7g3e/xxJw2ZBI7g7poO/q+24eq2SCMW5ipwfjlw2GBLy7RbQ9HsABg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:14:09.395734Z","signed_message":"canonical_sha256_bytes"},"source_id":"2101.08484","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3aef4a829f4b4ba06658a906ebbe89b654dc287471525832e728a96299886923","sha256:3fdaef3618df1f8211b093e706d5524410bdb98f1b94d4d42f4c7df8909dd1f4"],"state_sha256":"f20451ed96e82fad29d5884670c4e208c255af4cfd71f0fa6a018d3c6ea80c61"}