{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:5EGTMRORLZEIFL6B6HHKDUOIV2","short_pith_number":"pith:5EGTMROR","schema_version":"1.0","canonical_sha256":"e90d3645d15e4882afc1f1cea1d1c8aebfda9cb659bd4cf7ceaef45c83fb7344","source":{"kind":"arxiv","id":"1205.5500","version":2},"attestation_state":"computed","paper":{"title":"A subset solution to the sign problem in random matrix simulations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","physics.comp-ph"],"primary_cat":"hep-lat","authors_text":"Jacques Bloch","submitted_at":"2012-05-24T16:48:03Z","abstract_excerpt":"We present a solution to the sign problem in dynamical random matrix simulations of a two-matrix model at nonzero chemical potential. The sign problem, caused by the complex fermion determinants, is solved by gathering the matrices into subsets, whose sums of determinants are real and positive even though their cardinality only grows linearly with the matrix size. A detailed proof of this positivity theorem is given for an arbitrary number of fermion flavors. We performed importance sampling Monte Carlo simulations to compute the chiral condensate and the quark number density for varying chemi"},"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":"1205.5500","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-05-24T16:48:03Z","cross_cats_sorted":["cond-mat.stat-mech","physics.comp-ph"],"title_canon_sha256":"593d5e653b99eb570bccf99f34c45e0963c0a4d6cab2aed1247deab4d7868bbf","abstract_canon_sha256":"eae8a72d38c1a75edddc2a39c98a3727352747e550f279028983a7d14341aaf9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:21:09.669829Z","signature_b64":"wIJ8K1IoT8nMEO65DnDLWN8NMxiaOErJ1Ki8kaplxf2VQfj1cJ/NLvvWrtkwnh8ohnQYVLbZ3kS4Qy8r9yKzDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e90d3645d15e4882afc1f1cea1d1c8aebfda9cb659bd4cf7ceaef45c83fb7344","last_reissued_at":"2026-05-18T02:21:09.669434Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:21:09.669434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A subset solution to the sign problem in random matrix simulations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","physics.comp-ph"],"primary_cat":"hep-lat","authors_text":"Jacques Bloch","submitted_at":"2012-05-24T16:48:03Z","abstract_excerpt":"We present a solution to the sign problem in dynamical random matrix simulations of a two-matrix model at nonzero chemical potential. The sign problem, caused by the complex fermion determinants, is solved by gathering the matrices into subsets, whose sums of determinants are real and positive even though their cardinality only grows linearly with the matrix size. A detailed proof of this positivity theorem is given for an arbitrary number of fermion flavors. We performed importance sampling Monte Carlo simulations to compute the chiral condensate and the quark number density for varying chemi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.5500","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":"1205.5500","created_at":"2026-05-18T02:21:09.669493+00:00"},{"alias_kind":"arxiv_version","alias_value":"1205.5500v2","created_at":"2026-05-18T02:21:09.669493+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.5500","created_at":"2026-05-18T02:21:09.669493+00:00"},{"alias_kind":"pith_short_12","alias_value":"5EGTMRORLZEI","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_16","alias_value":"5EGTMRORLZEIFL6B","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_8","alias_value":"5EGTMROR","created_at":"2026-05-18T12:26:53.410803+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2006.00200","citing_title":"Analysis of the QCD Kondo phase using random matrices","ref_index":73,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5EGTMRORLZEIFL6B6HHKDUOIV2","json":"https://pith.science/pith/5EGTMRORLZEIFL6B6HHKDUOIV2.json","graph_json":"https://pith.science/api/pith-number/5EGTMRORLZEIFL6B6HHKDUOIV2/graph.json","events_json":"https://pith.science/api/pith-number/5EGTMRORLZEIFL6B6HHKDUOIV2/events.json","paper":"https://pith.science/paper/5EGTMROR"},"agent_actions":{"view_html":"https://pith.science/pith/5EGTMRORLZEIFL6B6HHKDUOIV2","download_json":"https://pith.science/pith/5EGTMRORLZEIFL6B6HHKDUOIV2.json","view_paper":"https://pith.science/paper/5EGTMROR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1205.5500&json=true","fetch_graph":"https://pith.science/api/pith-number/5EGTMRORLZEIFL6B6HHKDUOIV2/graph.json","fetch_events":"https://pith.science/api/pith-number/5EGTMRORLZEIFL6B6HHKDUOIV2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5EGTMRORLZEIFL6B6HHKDUOIV2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5EGTMRORLZEIFL6B6HHKDUOIV2/action/storage_attestation","attest_author":"https://pith.science/pith/5EGTMRORLZEIFL6B6HHKDUOIV2/action/author_attestation","sign_citation":"https://pith.science/pith/5EGTMRORLZEIFL6B6HHKDUOIV2/action/citation_signature","submit_replication":"https://pith.science/pith/5EGTMRORLZEIFL6B6HHKDUOIV2/action/replication_record"}},"created_at":"2026-05-18T02:21:09.669493+00:00","updated_at":"2026-05-18T02:21:09.669493+00:00"}