{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:H4T2UDOH4UIKONIFP23PJVJRMT","short_pith_number":"pith:H4T2UDOH","schema_version":"1.0","canonical_sha256":"3f27aa0dc7e510a735057eb6f4d53164d0d50a4aa5b5dd1e780e9b158d01e129","source":{"kind":"arxiv","id":"1506.07506","version":2},"attestation_state":"computed","paper":{"title":"The chiral condensate from renormalization group optimized perturbation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"A. Neveu, J.-L. Kneur","submitted_at":"2015-06-24T19:26:14Z","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-"},"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":"1506.07506","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-06-24T19:26:14Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"3db5ef7c307075ce74bcc9211a85a5d4f058d979c3be025184dbe32694462bcb","abstract_canon_sha256":"8341798b81a6ffe57766f1d03bcef849305eefb4f92dfd33a1b20aaa25d306c3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:28:54.568815Z","signature_b64":"XZqCNmWNjdpi9hJRKGJJ6HvNNRtOkTM/VaY3AIc4Jscn/rfjx805TQ4emEgPPyoxZ/t/MjB55TD1KS+UerPPBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f27aa0dc7e510a735057eb6f4d53164d0d50a4aa5b5dd1e780e9b158d01e129","last_reissued_at":"2026-05-18T01:28:54.568019Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:28:54.568019Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The chiral condensate from renormalization group optimized perturbation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"A. Neveu, J.-L. Kneur","submitted_at":"2015-06-24T19:26:14Z","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-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07506","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":""},"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":"1506.07506","created_at":"2026-05-18T01:28:54.568157+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.07506v2","created_at":"2026-05-18T01:28:54.568157+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07506","created_at":"2026-05-18T01:28:54.568157+00:00"},{"alias_kind":"pith_short_12","alias_value":"H4T2UDOH4UIK","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_16","alias_value":"H4T2UDOH4UIKONIF","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_8","alias_value":"H4T2UDOH","created_at":"2026-05-18T12:29:22.688609+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2509.07250","citing_title":"Scale dependence improvement of the quartic scalar field thermal effective potential in the optimized perturbation theory","ref_index":44,"is_internal_anchor":true},{"citing_arxiv_id":"2605.10635","citing_title":"Heavy-Quark Condensate and Vacuum Energy Anomalous Dimension at Five Loops","ref_index":12,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/H4T2UDOH4UIKONIFP23PJVJRMT","json":"https://pith.science/pith/H4T2UDOH4UIKONIFP23PJVJRMT.json","graph_json":"https://pith.science/api/pith-number/H4T2UDOH4UIKONIFP23PJVJRMT/graph.json","events_json":"https://pith.science/api/pith-number/H4T2UDOH4UIKONIFP23PJVJRMT/events.json","paper":"https://pith.science/paper/H4T2UDOH"},"agent_actions":{"view_html":"https://pith.science/pith/H4T2UDOH4UIKONIFP23PJVJRMT","download_json":"https://pith.science/pith/H4T2UDOH4UIKONIFP23PJVJRMT.json","view_paper":"https://pith.science/paper/H4T2UDOH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.07506&json=true","fetch_graph":"https://pith.science/api/pith-number/H4T2UDOH4UIKONIFP23PJVJRMT/graph.json","fetch_events":"https://pith.science/api/pith-number/H4T2UDOH4UIKONIFP23PJVJRMT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H4T2UDOH4UIKONIFP23PJVJRMT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H4T2UDOH4UIKONIFP23PJVJRMT/action/storage_attestation","attest_author":"https://pith.science/pith/H4T2UDOH4UIKONIFP23PJVJRMT/action/author_attestation","sign_citation":"https://pith.science/pith/H4T2UDOH4UIKONIFP23PJVJRMT/action/citation_signature","submit_replication":"https://pith.science/pith/H4T2UDOH4UIKONIFP23PJVJRMT/action/replication_record"}},"created_at":"2026-05-18T01:28:54.568157+00:00","updated_at":"2026-05-18T01:28:54.568157+00:00"}