{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:XHODXSR7VWQKDOOGW37TQMMAKZ","short_pith_number":"pith:XHODXSR7","schema_version":"1.0","canonical_sha256":"b9dc3bca3fada0a1b9c6b6ff383180567eaf4f854898495ce297d3de29223d33","source":{"kind":"arxiv","id":"1709.01886","version":2},"attestation_state":"computed","paper":{"title":"Distribution law of the Dirac eigenmodes in QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","hep-th"],"primary_cat":"hep-lat","authors_text":"L. Ya. Glozman, M. Catillo","submitted_at":"2017-09-06T16:40:28Z","abstract_excerpt":"The near-zero modes of the Dirac operator are connected to spontaneous breaking of chiral symmetry in QCD (SBCS) via the Banks-Casher relation. At the same time the distribution of the near-zero modes is well described by the Random Matrix Theory (RMT) with the Gaussian Unitary Ensemble (GUE). Then it has become a standard lore that a randomness, as observed through distributions of the near-zero modes of the Dirac operator, is a consequence of SBCS. The higher-lying modes of the Dirac operator are not affected by SBCS and are sensitive to confinement physics and related $SU(2)_{CS}$ and $SU(2"},"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":"1709.01886","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2017-09-06T16:40:28Z","cross_cats_sorted":["hep-ph","hep-th"],"title_canon_sha256":"8022ef682e7e1311e76515d476a6e98c35d2887be1a16bac126016e00cf9c217","abstract_canon_sha256":"51474d24724de5867e9fe56788319ad115090c755a74d8e55380f1f89e3691a6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:03.641915Z","signature_b64":"rD7L3cZ+Lp9rnpH9Z/ilKQ82/Bcj9XDegTwXdKyyLruyfFn7KglRDZV5pd2vBNrExiDUW4GhE8WIX5CeaL0YCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b9dc3bca3fada0a1b9c6b6ff383180567eaf4f854898495ce297d3de29223d33","last_reissued_at":"2026-05-18T00:19:03.641298Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:03.641298Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Distribution law of the Dirac eigenmodes in QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","hep-th"],"primary_cat":"hep-lat","authors_text":"L. Ya. Glozman, M. Catillo","submitted_at":"2017-09-06T16:40:28Z","abstract_excerpt":"The near-zero modes of the Dirac operator are connected to spontaneous breaking of chiral symmetry in QCD (SBCS) via the Banks-Casher relation. At the same time the distribution of the near-zero modes is well described by the Random Matrix Theory (RMT) with the Gaussian Unitary Ensemble (GUE). Then it has become a standard lore that a randomness, as observed through distributions of the near-zero modes of the Dirac operator, is a consequence of SBCS. The higher-lying modes of the Dirac operator are not affected by SBCS and are sensitive to confinement physics and related $SU(2)_{CS}$ and $SU(2"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.01886","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":"1709.01886","created_at":"2026-05-18T00:19:03.641409+00:00"},{"alias_kind":"arxiv_version","alias_value":"1709.01886v2","created_at":"2026-05-18T00:19:03.641409+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.01886","created_at":"2026-05-18T00:19:03.641409+00:00"},{"alias_kind":"pith_short_12","alias_value":"XHODXSR7VWQK","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_16","alias_value":"XHODXSR7VWQKDOOG","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_8","alias_value":"XHODXSR7","created_at":"2026-05-18T12:31:53.515858+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/XHODXSR7VWQKDOOGW37TQMMAKZ","json":"https://pith.science/pith/XHODXSR7VWQKDOOGW37TQMMAKZ.json","graph_json":"https://pith.science/api/pith-number/XHODXSR7VWQKDOOGW37TQMMAKZ/graph.json","events_json":"https://pith.science/api/pith-number/XHODXSR7VWQKDOOGW37TQMMAKZ/events.json","paper":"https://pith.science/paper/XHODXSR7"},"agent_actions":{"view_html":"https://pith.science/pith/XHODXSR7VWQKDOOGW37TQMMAKZ","download_json":"https://pith.science/pith/XHODXSR7VWQKDOOGW37TQMMAKZ.json","view_paper":"https://pith.science/paper/XHODXSR7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1709.01886&json=true","fetch_graph":"https://pith.science/api/pith-number/XHODXSR7VWQKDOOGW37TQMMAKZ/graph.json","fetch_events":"https://pith.science/api/pith-number/XHODXSR7VWQKDOOGW37TQMMAKZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XHODXSR7VWQKDOOGW37TQMMAKZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XHODXSR7VWQKDOOGW37TQMMAKZ/action/storage_attestation","attest_author":"https://pith.science/pith/XHODXSR7VWQKDOOGW37TQMMAKZ/action/author_attestation","sign_citation":"https://pith.science/pith/XHODXSR7VWQKDOOGW37TQMMAKZ/action/citation_signature","submit_replication":"https://pith.science/pith/XHODXSR7VWQKDOOGW37TQMMAKZ/action/replication_record"}},"created_at":"2026-05-18T00:19:03.641409+00:00","updated_at":"2026-05-18T00:19:03.641409+00:00"}