{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:ZTC2QN55CWMKIRLW4UN76RJLWO","short_pith_number":"pith:ZTC2QN55","schema_version":"1.0","canonical_sha256":"ccc5a837bd1598a44576e51bff452bb39387454c8947244bbfb49ccc735b90d3","source":{"kind":"arxiv","id":"1403.0174","version":2},"attestation_state":"computed","paper":{"title":"Weak solution of the non-perturbative renormalization group equation to describe the dynamical chiral symmetry breaking","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","nucl-th"],"primary_cat":"hep-th","authors_text":"Daisuke Sato, Ken-Ichi Aoki, Shin-Ichiro Kumamoto","submitted_at":"2014-03-02T08:21:27Z","abstract_excerpt":"We analyze the dynamical chiral symmetry breaking (D$\\chi$SB) in the Nambu-Jona-Lasinio (NJL) model by using the non-perturbative renormalization group (NPRG) equation. The equation takes a form of two-dimensional partial differential equation for the multi-fermion effective interactions $V(x,t)$ where $x$ is $\\bar\\psi\\psi$ operator and $t$ is the logarithm of the renormalization scale. The D$\\chi$SB occurs due to the quantum corrections, which means it emerges at some finite $t_{\\rm c}$ in the mid of integrating the equation with respect to $t$. At $t_{\\rm c}$ some singularities suddenly appe"},"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":"1403.0174","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-03-02T08:21:27Z","cross_cats_sorted":["hep-ph","nucl-th"],"title_canon_sha256":"4a0e69df73c68181bace1d7336833b3a8bf7ce9fdf3cd8b917b39eba90a32ac3","abstract_canon_sha256":"5dd0bbed99ef3ec49c525714316b42b11e35793097c9fadb2380bee8b10327de"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:18.830115Z","signature_b64":"fAa6lJ5uhADR27W9oS51qr1HQwRCb14S5e5+rFXbAFCzeOdjT3K9MKCoJ88Leg1e83QIdSkLzmzK7C5Jr/QgCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ccc5a837bd1598a44576e51bff452bb39387454c8947244bbfb49ccc735b90d3","last_reissued_at":"2026-05-18T01:12:18.829779Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:18.829779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Weak solution of the non-perturbative renormalization group equation to describe the dynamical chiral symmetry breaking","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","nucl-th"],"primary_cat":"hep-th","authors_text":"Daisuke Sato, Ken-Ichi Aoki, Shin-Ichiro Kumamoto","submitted_at":"2014-03-02T08:21:27Z","abstract_excerpt":"We analyze the dynamical chiral symmetry breaking (D$\\chi$SB) in the Nambu-Jona-Lasinio (NJL) model by using the non-perturbative renormalization group (NPRG) equation. The equation takes a form of two-dimensional partial differential equation for the multi-fermion effective interactions $V(x,t)$ where $x$ is $\\bar\\psi\\psi$ operator and $t$ is the logarithm of the renormalization scale. The D$\\chi$SB occurs due to the quantum corrections, which means it emerges at some finite $t_{\\rm c}$ in the mid of integrating the equation with respect to $t$. At $t_{\\rm c}$ some singularities suddenly appe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.0174","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":"1403.0174","created_at":"2026-05-18T01:12:18.829830+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.0174v2","created_at":"2026-05-18T01:12:18.829830+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.0174","created_at":"2026-05-18T01:12:18.829830+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZTC2QN55CWMK","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZTC2QN55CWMKIRLW","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZTC2QN55","created_at":"2026-05-18T12:28:59.999130+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZTC2QN55CWMKIRLW4UN76RJLWO","json":"https://pith.science/pith/ZTC2QN55CWMKIRLW4UN76RJLWO.json","graph_json":"https://pith.science/api/pith-number/ZTC2QN55CWMKIRLW4UN76RJLWO/graph.json","events_json":"https://pith.science/api/pith-number/ZTC2QN55CWMKIRLW4UN76RJLWO/events.json","paper":"https://pith.science/paper/ZTC2QN55"},"agent_actions":{"view_html":"https://pith.science/pith/ZTC2QN55CWMKIRLW4UN76RJLWO","download_json":"https://pith.science/pith/ZTC2QN55CWMKIRLW4UN76RJLWO.json","view_paper":"https://pith.science/paper/ZTC2QN55","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.0174&json=true","fetch_graph":"https://pith.science/api/pith-number/ZTC2QN55CWMKIRLW4UN76RJLWO/graph.json","fetch_events":"https://pith.science/api/pith-number/ZTC2QN55CWMKIRLW4UN76RJLWO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZTC2QN55CWMKIRLW4UN76RJLWO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZTC2QN55CWMKIRLW4UN76RJLWO/action/storage_attestation","attest_author":"https://pith.science/pith/ZTC2QN55CWMKIRLW4UN76RJLWO/action/author_attestation","sign_citation":"https://pith.science/pith/ZTC2QN55CWMKIRLW4UN76RJLWO/action/citation_signature","submit_replication":"https://pith.science/pith/ZTC2QN55CWMKIRLW4UN76RJLWO/action/replication_record"}},"created_at":"2026-05-18T01:12:18.829830+00:00","updated_at":"2026-05-18T01:12:18.829830+00:00"}