{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:RSWNUM7I676QPV4S3HOAT4GR2F","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":"bef04cfce9bff47dcead4cf47487f3e411f91990a72994105a8b6e4a6474bc6b","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"2002-01-20T20:44:15Z","title_canon_sha256":"f6559dc2173737d9fce06c1eaa9f0b90d103a2ee8f916cbf552998e3f2a36b96"},"schema_version":"1.0","source":{"id":"hep-lat/0201017","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/0201017","created_at":"2026-07-04T16:33:52Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/0201017v2","created_at":"2026-07-04T16:33:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/0201017","created_at":"2026-07-04T16:33:52Z"},{"alias_kind":"pith_short_12","alias_value":"RSWNUM7I676Q","created_at":"2026-07-04T16:33:52Z"},{"alias_kind":"pith_short_16","alias_value":"RSWNUM7I676QPV4S","created_at":"2026-07-04T16:33:52Z"},{"alias_kind":"pith_short_8","alias_value":"RSWNUM7I","created_at":"2026-07-04T16:33:52Z"}],"graph_snapshots":[{"event_id":"sha256:4b1213a0302f5613f7f4f33b52ab79c21d1d1d8a86b067894977d677eb4889a5","target":"graph","created_at":"2026-07-04T16:33:52Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-lat/0201017/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study quenched QCD at finite chemical potential, $\\mu_I$, for the third component of isospin and quenched two-colour QCD at finite chemical potential, $\\mu$, for quark number. In contrast to the quenched approximation to QCD at finite quark-number chemical potential, the quenched approximations to these theories behave similarly to the full theories. The reason is that these theories have real positive fermion determinants. In both of these theories there is some critical chemical potential above which the charge coupled to the chemical potential is spontaneously broken. In each case, the t","authors_text":"D. K. Sinclair, J. B. Kogut","cross_cats":[],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"2002-01-20T20:44:15Z","title":"Quenched lattice QCD at finite isospin density and related theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/0201017","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":"sha256:37d706cdfd8fef69f4cf1bb2dc3732794886adfd81e759ed326d96477c1bd4ff","target":"record","created_at":"2026-07-04T16:33:52Z","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":"bef04cfce9bff47dcead4cf47487f3e411f91990a72994105a8b6e4a6474bc6b","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"2002-01-20T20:44:15Z","title_canon_sha256":"f6559dc2173737d9fce06c1eaa9f0b90d103a2ee8f916cbf552998e3f2a36b96"},"schema_version":"1.0","source":{"id":"hep-lat/0201017","kind":"arxiv","version":2}},"canonical_sha256":"8cacda33e8f7fd07d792d9dc09f0d1d17afd379a69fc6a693c2eac6a19dd7260","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8cacda33e8f7fd07d792d9dc09f0d1d17afd379a69fc6a693c2eac6a19dd7260","first_computed_at":"2026-07-04T16:33:52.152108Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:33:52.152108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XcbcbOMUFECnp+tOsSQoLAqIV9p5l3lCW9+64FkS3sIhV/7jWtOF8NW0KF/OeynlcXj968K7fengYGD8fR6BAA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:33:52.152545Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-lat/0201017","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:37d706cdfd8fef69f4cf1bb2dc3732794886adfd81e759ed326d96477c1bd4ff","sha256:4b1213a0302f5613f7f4f33b52ab79c21d1d1d8a86b067894977d677eb4889a5"],"state_sha256":"5713f8553af307868499a789163d37307b982c6227eee7cc0a6e1f1e86024ab8"}