{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:KRKFHAWUHO2CQCSLYEVVU2AKEK","short_pith_number":"pith:KRKFHAWU","canonical_record":{"source":{"id":"1210.2438","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-10-08T22:52:16Z","cross_cats_sorted":["hep-ph","hep-th"],"title_canon_sha256":"3a57c3467455b60c9522603b68dba37ff0b858966badb36fb52a59192613892c","abstract_canon_sha256":"4b991d69cc6b4f35547d0ebb7ea3d333fd65805dc3480bea439c812609c73089"},"schema_version":"1.0"},"canonical_sha256":"54545382d43bb4280a4bc12b5a680a22bc148837d2148b954b93604e7906c40c","source":{"kind":"arxiv","id":"1210.2438","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.2438","created_at":"2026-05-18T03:41:40Z"},{"alias_kind":"arxiv_version","alias_value":"1210.2438v2","created_at":"2026-05-18T03:41:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.2438","created_at":"2026-05-18T03:41:40Z"},{"alias_kind":"pith_short_12","alias_value":"KRKFHAWUHO2C","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"KRKFHAWUHO2CQCSL","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"KRKFHAWU","created_at":"2026-05-18T12:27:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:KRKFHAWUHO2CQCSLYEVVU2AKEK","target":"record","payload":{"canonical_record":{"source":{"id":"1210.2438","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-10-08T22:52:16Z","cross_cats_sorted":["hep-ph","hep-th"],"title_canon_sha256":"3a57c3467455b60c9522603b68dba37ff0b858966badb36fb52a59192613892c","abstract_canon_sha256":"4b991d69cc6b4f35547d0ebb7ea3d333fd65805dc3480bea439c812609c73089"},"schema_version":"1.0"},"canonical_sha256":"54545382d43bb4280a4bc12b5a680a22bc148837d2148b954b93604e7906c40c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:41:40.025599Z","signature_b64":"0/XA3kaQwFakcU/NlcXs0sK3WzD4zC9njNPbFz5d1+pe6Bu9cYfH3/UG04G8BdnZeb6PAI4nap4IbxZgrmWhAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"54545382d43bb4280a4bc12b5a680a22bc148837d2148b954b93604e7906c40c","last_reissued_at":"2026-05-18T03:41:40.024627Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:41:40.024627Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.2438","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:41:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OGksRB7v/Vt9ZF2I1sEvpLoN5mnFruaSxc7wTS1cV336Z+KuyJSg51dMCPcvaIhX0OgODKhOyj+nEKV0Cg7DDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T05:42:01.301894Z"},"content_sha256":"952c6fd09f3ed53380d05a76dc33437535628892a324d71daf7e6bcd1606ace0","schema_version":"1.0","event_id":"sha256:952c6fd09f3ed53380d05a76dc33437535628892a324d71daf7e6bcd1606ace0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:KRKFHAWUHO2CQCSLYEVVU2AKEK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase quenching in finite-density QCD: models, holography, and lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","hep-th"],"primary_cat":"hep-lat","authors_text":"Masanori Hanada, Naoki Yamamoto, Yoshinori Matsuo","submitted_at":"2012-10-08T22:52:16Z","abstract_excerpt":"Finite-density QCD is difficult to study numerically because of the sign problem. We prove that, in a certain region of the phase diagram, the phase quenched approximation is exact to O(Nf/Nc). It is true for any physical observables. We also consider the implications for the lattice simulations and find a quantitative evidence for the validity of the phase quenching from existing lattice QCD results at Nc=3. Our results show that the phase-quench approximation is rather good already at Nc=3, and the 1/Nc correction can be incorporated by the phase reweighting method without suffering from the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.2438","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:41:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oEMwuNbw7ySyYk6JQ0pz1hd/ZtZ7RDZv4Jg3HAd7CyofHZlV1VZtne0yrO7c1VYw3EFDlUoJcezKCkNjv6LHBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T05:42:01.302239Z"},"content_sha256":"1e1136e89e87927f16a07358185bb41e2cd9d2a379219000ad29f3d2681dbefd","schema_version":"1.0","event_id":"sha256:1e1136e89e87927f16a07358185bb41e2cd9d2a379219000ad29f3d2681dbefd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KRKFHAWUHO2CQCSLYEVVU2AKEK/bundle.json","state_url":"https://pith.science/pith/KRKFHAWUHO2CQCSLYEVVU2AKEK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KRKFHAWUHO2CQCSLYEVVU2AKEK/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T05:42:01Z","links":{"resolver":"https://pith.science/pith/KRKFHAWUHO2CQCSLYEVVU2AKEK","bundle":"https://pith.science/pith/KRKFHAWUHO2CQCSLYEVVU2AKEK/bundle.json","state":"https://pith.science/pith/KRKFHAWUHO2CQCSLYEVVU2AKEK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KRKFHAWUHO2CQCSLYEVVU2AKEK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:KRKFHAWUHO2CQCSLYEVVU2AKEK","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":"4b991d69cc6b4f35547d0ebb7ea3d333fd65805dc3480bea439c812609c73089","cross_cats_sorted":["hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-10-08T22:52:16Z","title_canon_sha256":"3a57c3467455b60c9522603b68dba37ff0b858966badb36fb52a59192613892c"},"schema_version":"1.0","source":{"id":"1210.2438","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.2438","created_at":"2026-05-18T03:41:40Z"},{"alias_kind":"arxiv_version","alias_value":"1210.2438v2","created_at":"2026-05-18T03:41:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.2438","created_at":"2026-05-18T03:41:40Z"},{"alias_kind":"pith_short_12","alias_value":"KRKFHAWUHO2C","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"KRKFHAWUHO2CQCSL","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"KRKFHAWU","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:1e1136e89e87927f16a07358185bb41e2cd9d2a379219000ad29f3d2681dbefd","target":"graph","created_at":"2026-05-18T03:41:40Z","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"},"paper":{"abstract_excerpt":"Finite-density QCD is difficult to study numerically because of the sign problem. We prove that, in a certain region of the phase diagram, the phase quenched approximation is exact to O(Nf/Nc). It is true for any physical observables. We also consider the implications for the lattice simulations and find a quantitative evidence for the validity of the phase quenching from existing lattice QCD results at Nc=3. Our results show that the phase-quench approximation is rather good already at Nc=3, and the 1/Nc correction can be incorporated by the phase reweighting method without suffering from the","authors_text":"Masanori Hanada, Naoki Yamamoto, Yoshinori Matsuo","cross_cats":["hep-ph","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-10-08T22:52:16Z","title":"Phase quenching in finite-density QCD: models, holography, and lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.2438","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":"sha256:952c6fd09f3ed53380d05a76dc33437535628892a324d71daf7e6bcd1606ace0","target":"record","created_at":"2026-05-18T03:41:40Z","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":"4b991d69cc6b4f35547d0ebb7ea3d333fd65805dc3480bea439c812609c73089","cross_cats_sorted":["hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-10-08T22:52:16Z","title_canon_sha256":"3a57c3467455b60c9522603b68dba37ff0b858966badb36fb52a59192613892c"},"schema_version":"1.0","source":{"id":"1210.2438","kind":"arxiv","version":2}},"canonical_sha256":"54545382d43bb4280a4bc12b5a680a22bc148837d2148b954b93604e7906c40c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"54545382d43bb4280a4bc12b5a680a22bc148837d2148b954b93604e7906c40c","first_computed_at":"2026-05-18T03:41:40.024627Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:40.024627Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0/XA3kaQwFakcU/NlcXs0sK3WzD4zC9njNPbFz5d1+pe6Bu9cYfH3/UG04G8BdnZeb6PAI4nap4IbxZgrmWhAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:40.025599Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.2438","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:952c6fd09f3ed53380d05a76dc33437535628892a324d71daf7e6bcd1606ace0","sha256:1e1136e89e87927f16a07358185bb41e2cd9d2a379219000ad29f3d2681dbefd"],"state_sha256":"01a6ac0b5f211cc90049a46e56edc104c7975ae013eb058bac5e86fef0bf055b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U5MZKpe5fYtDb49rnehZbr38seQqNf6rVQd9T+UwnEFMzNH99Wz7zkI68v2YmpRLvTt/fK+6MdAOi21UGz/MAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T05:42:01.306143Z","bundle_sha256":"4b144536cb24100f26e77a8b0ac79e6c1c1200184d81cfda0c3e04d43c6266f1"}}