{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:PBNY36M4TW2HZS64XFBWQR4IBV","short_pith_number":"pith:PBNY36M4","canonical_record":{"source":{"id":"1108.1274","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-08-05T08:25:25Z","cross_cats_sorted":[],"title_canon_sha256":"e21ab38283e0508b96a896643bc48855e9a28bbc214fdabb69a7a65b6c1dd742","abstract_canon_sha256":"ac118444435e34bbf51217fb8463b068db0abd36e44a9c920e3764a9eb8bdc3a"},"schema_version":"1.0"},"canonical_sha256":"785b8df99c9db47ccbdcb9436847880d771c0be9c309e167514a23b44400181e","source":{"kind":"arxiv","id":"1108.1274","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.1274","created_at":"2026-05-18T03:23:02Z"},{"alias_kind":"arxiv_version","alias_value":"1108.1274v1","created_at":"2026-05-18T03:23:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.1274","created_at":"2026-05-18T03:23:02Z"},{"alias_kind":"pith_short_12","alias_value":"PBNY36M4TW2H","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"PBNY36M4TW2HZS64","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"PBNY36M4","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:PBNY36M4TW2HZS64XFBWQR4IBV","target":"record","payload":{"canonical_record":{"source":{"id":"1108.1274","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-08-05T08:25:25Z","cross_cats_sorted":[],"title_canon_sha256":"e21ab38283e0508b96a896643bc48855e9a28bbc214fdabb69a7a65b6c1dd742","abstract_canon_sha256":"ac118444435e34bbf51217fb8463b068db0abd36e44a9c920e3764a9eb8bdc3a"},"schema_version":"1.0"},"canonical_sha256":"785b8df99c9db47ccbdcb9436847880d771c0be9c309e167514a23b44400181e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:23:02.612835Z","signature_b64":"T1i+mNS0daHzFXpfJQG7TS1LNkv4cjklQZajxhoLc6J1rFz6ZCspaHcRVLA7qmyh5MVFTS/NGLEpld+0Mf+yAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"785b8df99c9db47ccbdcb9436847880d771c0be9c309e167514a23b44400181e","last_reissued_at":"2026-05-18T03:23:02.612346Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:23:02.612346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1108.1274","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:23:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XpRCAqt21gZxwB9XDMzB8QfNJnEbIoZjlGS/l7hUAo75ZthGtckXtVg2pmkGv9Q9Ur3S9oYiEIaMBWtjVHiZBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T05:58:16.498449Z"},"content_sha256":"28497d179ba67db23ad3f7b5d55453c19323d08a5fdd2fd83c05e986d8fdf766","schema_version":"1.0","event_id":"sha256:28497d179ba67db23ad3f7b5d55453c19323d08a5fdd2fd83c05e986d8fdf766"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:PBNY36M4TW2HZS64XFBWQR4IBV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Random matrix model for chiral and color-flavor locking condensates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Kanako Yamazaki, Takashi Sano","submitted_at":"2011-08-05T08:25:25Z","abstract_excerpt":"We study the phase diagram of a chiral random matrix model with three quark flavors at finite temperature and chemical potential, taking the chiral and diquark condensates as independent order parameters. Fixing the ratio of the coupling strengths in the quark-antiquark and quark-quark channels applying the Fierz transformation, we find that the color-flavor locked (CFL) phase is realized at large chemical potential, while the ordinary chirally-broken phase appears in the region with small chemical potential. We investigate responses of the phases by changing small quark masses in the cases wi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.1274","kind":"arxiv","version":1},"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":"2026-05-18T03:23:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vf/ofHX1b13iGlHXm/V2DNyqg/8UB1t2DmDpN6jgm5kRX5tZcjgEUm18EqkFS6rt12B64Y9g3zoGEbEYMk43Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T05:58:16.499164Z"},"content_sha256":"57b3fb29c22c114bb04e1a2bc9f744ea6ac863e139bec21edbfae1051344bad1","schema_version":"1.0","event_id":"sha256:57b3fb29c22c114bb04e1a2bc9f744ea6ac863e139bec21edbfae1051344bad1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PBNY36M4TW2HZS64XFBWQR4IBV/bundle.json","state_url":"https://pith.science/pith/PBNY36M4TW2HZS64XFBWQR4IBV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PBNY36M4TW2HZS64XFBWQR4IBV/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":"2026-05-25T05:58:16Z","links":{"resolver":"https://pith.science/pith/PBNY36M4TW2HZS64XFBWQR4IBV","bundle":"https://pith.science/pith/PBNY36M4TW2HZS64XFBWQR4IBV/bundle.json","state":"https://pith.science/pith/PBNY36M4TW2HZS64XFBWQR4IBV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PBNY36M4TW2HZS64XFBWQR4IBV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:PBNY36M4TW2HZS64XFBWQR4IBV","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":"ac118444435e34bbf51217fb8463b068db0abd36e44a9c920e3764a9eb8bdc3a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-08-05T08:25:25Z","title_canon_sha256":"e21ab38283e0508b96a896643bc48855e9a28bbc214fdabb69a7a65b6c1dd742"},"schema_version":"1.0","source":{"id":"1108.1274","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.1274","created_at":"2026-05-18T03:23:02Z"},{"alias_kind":"arxiv_version","alias_value":"1108.1274v1","created_at":"2026-05-18T03:23:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.1274","created_at":"2026-05-18T03:23:02Z"},{"alias_kind":"pith_short_12","alias_value":"PBNY36M4TW2H","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"PBNY36M4TW2HZS64","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"PBNY36M4","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:57b3fb29c22c114bb04e1a2bc9f744ea6ac863e139bec21edbfae1051344bad1","target":"graph","created_at":"2026-05-18T03:23:02Z","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":"We study the phase diagram of a chiral random matrix model with three quark flavors at finite temperature and chemical potential, taking the chiral and diquark condensates as independent order parameters. Fixing the ratio of the coupling strengths in the quark-antiquark and quark-quark channels applying the Fierz transformation, we find that the color-flavor locked (CFL) phase is realized at large chemical potential, while the ordinary chirally-broken phase appears in the region with small chemical potential. We investigate responses of the phases by changing small quark masses in the cases wi","authors_text":"Kanako Yamazaki, Takashi Sano","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-08-05T08:25:25Z","title":"Random matrix model for chiral and color-flavor locking condensates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.1274","kind":"arxiv","version":1},"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":"sha256:28497d179ba67db23ad3f7b5d55453c19323d08a5fdd2fd83c05e986d8fdf766","target":"record","created_at":"2026-05-18T03:23:02Z","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":"ac118444435e34bbf51217fb8463b068db0abd36e44a9c920e3764a9eb8bdc3a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-08-05T08:25:25Z","title_canon_sha256":"e21ab38283e0508b96a896643bc48855e9a28bbc214fdabb69a7a65b6c1dd742"},"schema_version":"1.0","source":{"id":"1108.1274","kind":"arxiv","version":1}},"canonical_sha256":"785b8df99c9db47ccbdcb9436847880d771c0be9c309e167514a23b44400181e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"785b8df99c9db47ccbdcb9436847880d771c0be9c309e167514a23b44400181e","first_computed_at":"2026-05-18T03:23:02.612346Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:23:02.612346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T1i+mNS0daHzFXpfJQG7TS1LNkv4cjklQZajxhoLc6J1rFz6ZCspaHcRVLA7qmyh5MVFTS/NGLEpld+0Mf+yAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:23:02.612835Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.1274","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28497d179ba67db23ad3f7b5d55453c19323d08a5fdd2fd83c05e986d8fdf766","sha256:57b3fb29c22c114bb04e1a2bc9f744ea6ac863e139bec21edbfae1051344bad1"],"state_sha256":"f31beb5a94d6cf7b1d61fe5883abd2fbfac068f6e0023ba1083e0e29bde69c05"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UnJHdnEiOOFKUWhuEQIKxC0NluoQAppopI45w0VWpBYCvL5p+aygc/mP/XiXxbsUmJDOcW6c6ztBsocPbpmHDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T05:58:16.502911Z","bundle_sha256":"e074b94a3ac025105ab37d0fd44c7ddf51be3e9a4cfb346bdf8c71faf2cfdf3e"}}