{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:AB5QAYBT7J7OXLW7T36YA2P3YK","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":"b64fe24bf687d11ed883e78715d2081c4c9eb1f8278ed4af2920a0f7addb50c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2014-08-07T07:02:35Z","title_canon_sha256":"1c4c2059bf908ac44e1164ea4ec105e6a377e9231a2beb0b613f010c3dc98ae5"},"schema_version":"1.0","source":{"id":"1408.1498","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.1498","created_at":"2026-05-18T01:42:23Z"},{"alias_kind":"arxiv_version","alias_value":"1408.1498v1","created_at":"2026-05-18T01:42:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.1498","created_at":"2026-05-18T01:42:23Z"},{"alias_kind":"pith_short_12","alias_value":"AB5QAYBT7J7O","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"AB5QAYBT7J7OXLW7","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"AB5QAYBT","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:caf92b601c6363f93e7792255cb94d4a667f00bc96d6922d7beaf3a509a2b1b4","target":"graph","created_at":"2026-05-18T01:42:23Z","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"},"paper":{"abstract_excerpt":"We construct chiral perturbation theory for the gradient flow of the microscopic Dirac eigenvalues and compute the density of and correlations between the microscopic eigenvalues at zero and non-zero flow time. The results show that the repulsion of the microscopic Dirac eigenvalues from the dynamical quark mass decreases with increasing gradient flow time. Furthermore, the flow of the spectral resolvent is compared to the flow of the chiral condensate obtained from a fermionic gradient flow.","authors_text":"Alexander S. Christensen, J.J.M. Verbaarschot, K. Splittorff","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2014-08-07T07:02:35Z","title":"The gradient flow of the Dirac spectrum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.1498","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:d083d4c8a58798a8e4283441850ddec7429b39837f8b765355a57d68fb693d80","target":"record","created_at":"2026-05-18T01:42:23Z","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":"b64fe24bf687d11ed883e78715d2081c4c9eb1f8278ed4af2920a0f7addb50c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2014-08-07T07:02:35Z","title_canon_sha256":"1c4c2059bf908ac44e1164ea4ec105e6a377e9231a2beb0b613f010c3dc98ae5"},"schema_version":"1.0","source":{"id":"1408.1498","kind":"arxiv","version":1}},"canonical_sha256":"007b006033fa7eebaedf9efd8069fbc28fa5f2fb7d79d279c4915965f013140e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"007b006033fa7eebaedf9efd8069fbc28fa5f2fb7d79d279c4915965f013140e","first_computed_at":"2026-05-18T01:42:23.010593Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:42:23.010593Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wfmI5M5oBCq3pMuVk/L4kBz+PKcf5m2yxU1KCVBNhyzuhUSy0mKoCbxkGBHvv0V/DiN3/OkaXj19lTmtIJnIBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:42:23.011025Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.1498","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d083d4c8a58798a8e4283441850ddec7429b39837f8b765355a57d68fb693d80","sha256:caf92b601c6363f93e7792255cb94d4a667f00bc96d6922d7beaf3a509a2b1b4"],"state_sha256":"85a5401e4183f27ab03869d1725d108def4ecd2cbb8bc7ec6f79005316006131"}