{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:H4T2UDOH4UIKONIFP23PJVJRMT","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":"8341798b81a6ffe57766f1d03bcef849305eefb4f92dfd33a1b20aaa25d306c3","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-06-24T19:26:14Z","title_canon_sha256":"3db5ef7c307075ce74bcc9211a85a5d4f058d979c3be025184dbe32694462bcb"},"schema_version":"1.0","source":{"id":"1506.07506","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.07506","created_at":"2026-05-18T01:28:54Z"},{"alias_kind":"arxiv_version","alias_value":"1506.07506v2","created_at":"2026-05-18T01:28:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07506","created_at":"2026-05-18T01:28:54Z"},{"alias_kind":"pith_short_12","alias_value":"H4T2UDOH4UIK","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"H4T2UDOH4UIKONIF","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"H4T2UDOH","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:7d581e8fb7a7eae787c8ed98dd39a86e25770963c0ce48ba2d3636684d92495d","target":"graph","created_at":"2026-05-18T01:28:54Z","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":"Our recently developed variant of variationnally optimized perturbation (OPT), in particular consistently incorporating renormalization group properties (RGOPT), is adapted to the calculation of the QCD spectral density of the Dirac operator and the related chiral quark condensate $\\langle \\bar q q \\rangle$ in the chiral limit, for $n_f=2$ and $n_f=3$ massless quarks. The results of successive sequences of approximations at two-, three-, and four-loop orders of this modified perturbation, exhibit a remarkable stability. We obtain $\\langle \\bar q q\\rangle^{1/3}_{n_f=2}(2\\, {\\rm GeV}) = -(0.833-","authors_text":"A. Neveu, J.-L. Kneur","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-06-24T19:26:14Z","title":"The chiral condensate from renormalization group optimized perturbation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07506","kind":"arxiv","version":2},"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":"sha256:22494a7d6ae7d2efd53cf58a9dfb67c85c2c15a1a3926bc65729acfcc73d15e8","target":"record","created_at":"2026-05-18T01:28:54Z","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":"8341798b81a6ffe57766f1d03bcef849305eefb4f92dfd33a1b20aaa25d306c3","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-06-24T19:26:14Z","title_canon_sha256":"3db5ef7c307075ce74bcc9211a85a5d4f058d979c3be025184dbe32694462bcb"},"schema_version":"1.0","source":{"id":"1506.07506","kind":"arxiv","version":2}},"canonical_sha256":"3f27aa0dc7e510a735057eb6f4d53164d0d50a4aa5b5dd1e780e9b158d01e129","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3f27aa0dc7e510a735057eb6f4d53164d0d50a4aa5b5dd1e780e9b158d01e129","first_computed_at":"2026-05-18T01:28:54.568019Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:28:54.568019Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XZqCNmWNjdpi9hJRKGJJ6HvNNRtOkTM/VaY3AIc4Jscn/rfjx805TQ4emEgPPyoxZ/t/MjB55TD1KS+UerPPBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:28:54.568815Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.07506","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:22494a7d6ae7d2efd53cf58a9dfb67c85c2c15a1a3926bc65729acfcc73d15e8","sha256:7d581e8fb7a7eae787c8ed98dd39a86e25770963c0ce48ba2d3636684d92495d"],"state_sha256":"32765c64e2b053aedcb98f2f44ff853d494fdd6bd2377fb792d7bf0cee040ad6"}