{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:A4CMIEHYMBWG5H5LSIP62MNRIE","short_pith_number":"pith:A4CMIEHY","canonical_record":{"source":{"id":"1005.2667","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-05-15T11:04:10Z","cross_cats_sorted":[],"title_canon_sha256":"eaf08b28dfd9b8f5173f47c7f6d854e86f4200f8a88d95d30eff1e192e81e3b1","abstract_canon_sha256":"7618f44d5042d1d2346aa1ae567c7582c75ad833c0e569f32ee390e6d1f6337a"},"schema_version":"1.0"},"canonical_sha256":"0704c410f8606c6e9fab921fed31b14117b9620ef8884507a82fba31127ba836","source":{"kind":"arxiv","id":"1005.2667","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.2667","created_at":"2026-05-18T02:24:06Z"},{"alias_kind":"arxiv_version","alias_value":"1005.2667v2","created_at":"2026-05-18T02:24:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.2667","created_at":"2026-05-18T02:24:06Z"},{"alias_kind":"pith_short_12","alias_value":"A4CMIEHYMBWG","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"A4CMIEHYMBWG5H5L","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"A4CMIEHY","created_at":"2026-05-18T12:26:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:A4CMIEHYMBWG5H5LSIP62MNRIE","target":"record","payload":{"canonical_record":{"source":{"id":"1005.2667","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-05-15T11:04:10Z","cross_cats_sorted":[],"title_canon_sha256":"eaf08b28dfd9b8f5173f47c7f6d854e86f4200f8a88d95d30eff1e192e81e3b1","abstract_canon_sha256":"7618f44d5042d1d2346aa1ae567c7582c75ad833c0e569f32ee390e6d1f6337a"},"schema_version":"1.0"},"canonical_sha256":"0704c410f8606c6e9fab921fed31b14117b9620ef8884507a82fba31127ba836","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:24:06.774154Z","signature_b64":"vC3tQ/siTfMY70nQhUAY9NbmWMo4Bsq7TOVRQu8s7xXjbtbKwI2V7YMPMZBi9B6IhAxN7V0/AJLAN+7k9GS9BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0704c410f8606c6e9fab921fed31b14117b9620ef8884507a82fba31127ba836","last_reissued_at":"2026-05-18T02:24:06.773433Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:24:06.773433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1005.2667","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":"2026-05-18T02:24:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dzqFA62oH36DoWSynsN5k+9zP9EaJICa3K8yXhnUL08TT3ovB8znGuZKrPAZtO39jftkNMDG0C67QL+O2e13CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T01:10:27.633096Z"},"content_sha256":"2a9afa45ced3ecad23df076d6446b1134cffcb9255758309ba78e9db25e16d46","schema_version":"1.0","event_id":"sha256:2a9afa45ced3ecad23df076d6446b1134cffcb9255758309ba78e9db25e16d46"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:A4CMIEHYMBWG5H5LSIP62MNRIE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-uniform chiral and 2SC color superconducting phases, taking into account the non-zero current quark mass","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Tomasz L. Partyka","submitted_at":"2010-05-15T11:04:10Z","abstract_excerpt":"We have shown, that the possibility of the existence of the mixed phase of the non-uniform chiral (NCh) and the color superconducting (2SC) ground state depends significantly on the choice of the parameters and type of the regularization scheme. Our calculations indicates, that in the 3d cut-off regularization scheme, the mixed region of the NCh and the 2SC phases exists for a broad set of NJL model parameters. However, in the Schwinger regularization scheme, if parameters are fitted to the physical quantities in the vacuum, then, the mixed region of the NCh and the 2SC phases does not exists."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.2667","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":"2026-05-18T02:24:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0GvGRlyXEQZtq3I+gZfHpTdNtqidBHb/pq7+djjRVU7+HFSeu3qsOpG6v1u77U2CLc5E7h6sTnMIwbA3JksfCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T01:10:27.633813Z"},"content_sha256":"384b27d48865cb76be8d4c272a3c8b42bed1978406f1bfc03f27b47b02df0950","schema_version":"1.0","event_id":"sha256:384b27d48865cb76be8d4c272a3c8b42bed1978406f1bfc03f27b47b02df0950"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A4CMIEHYMBWG5H5LSIP62MNRIE/bundle.json","state_url":"https://pith.science/pith/A4CMIEHYMBWG5H5LSIP62MNRIE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A4CMIEHYMBWG5H5LSIP62MNRIE/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":"2026-06-10T01:10:27Z","links":{"resolver":"https://pith.science/pith/A4CMIEHYMBWG5H5LSIP62MNRIE","bundle":"https://pith.science/pith/A4CMIEHYMBWG5H5LSIP62MNRIE/bundle.json","state":"https://pith.science/pith/A4CMIEHYMBWG5H5LSIP62MNRIE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A4CMIEHYMBWG5H5LSIP62MNRIE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:A4CMIEHYMBWG5H5LSIP62MNRIE","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":"7618f44d5042d1d2346aa1ae567c7582c75ad833c0e569f32ee390e6d1f6337a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-05-15T11:04:10Z","title_canon_sha256":"eaf08b28dfd9b8f5173f47c7f6d854e86f4200f8a88d95d30eff1e192e81e3b1"},"schema_version":"1.0","source":{"id":"1005.2667","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.2667","created_at":"2026-05-18T02:24:06Z"},{"alias_kind":"arxiv_version","alias_value":"1005.2667v2","created_at":"2026-05-18T02:24:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.2667","created_at":"2026-05-18T02:24:06Z"},{"alias_kind":"pith_short_12","alias_value":"A4CMIEHYMBWG","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"A4CMIEHYMBWG5H5L","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"A4CMIEHY","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:384b27d48865cb76be8d4c272a3c8b42bed1978406f1bfc03f27b47b02df0950","target":"graph","created_at":"2026-05-18T02:24:06Z","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 have shown, that the possibility of the existence of the mixed phase of the non-uniform chiral (NCh) and the color superconducting (2SC) ground state depends significantly on the choice of the parameters and type of the regularization scheme. Our calculations indicates, that in the 3d cut-off regularization scheme, the mixed region of the NCh and the 2SC phases exists for a broad set of NJL model parameters. However, in the Schwinger regularization scheme, if parameters are fitted to the physical quantities in the vacuum, then, the mixed region of the NCh and the 2SC phases does not exists.","authors_text":"Tomasz L. Partyka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-05-15T11:04:10Z","title":"Non-uniform chiral and 2SC color superconducting phases, taking into account the non-zero current quark mass"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.2667","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":"sha256:2a9afa45ced3ecad23df076d6446b1134cffcb9255758309ba78e9db25e16d46","target":"record","created_at":"2026-05-18T02:24:06Z","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":"7618f44d5042d1d2346aa1ae567c7582c75ad833c0e569f32ee390e6d1f6337a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-05-15T11:04:10Z","title_canon_sha256":"eaf08b28dfd9b8f5173f47c7f6d854e86f4200f8a88d95d30eff1e192e81e3b1"},"schema_version":"1.0","source":{"id":"1005.2667","kind":"arxiv","version":2}},"canonical_sha256":"0704c410f8606c6e9fab921fed31b14117b9620ef8884507a82fba31127ba836","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0704c410f8606c6e9fab921fed31b14117b9620ef8884507a82fba31127ba836","first_computed_at":"2026-05-18T02:24:06.773433Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:24:06.773433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vC3tQ/siTfMY70nQhUAY9NbmWMo4Bsq7TOVRQu8s7xXjbtbKwI2V7YMPMZBi9B6IhAxN7V0/AJLAN+7k9GS9BA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:24:06.774154Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.2667","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a9afa45ced3ecad23df076d6446b1134cffcb9255758309ba78e9db25e16d46","sha256:384b27d48865cb76be8d4c272a3c8b42bed1978406f1bfc03f27b47b02df0950"],"state_sha256":"c68704310dee70a4b2e54a58b42bb557c2a7b83eda9e0f890dbbd5f5aebcb658"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ItrkYHM9bErIfGc/+IcpjWJr3mmEEjeTrGR8AwUN0KtmBfPgBI4VuH8CBcmzTnsNhoa76PLTxru8T3YPpKrRDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T01:10:27.639074Z","bundle_sha256":"82d462830cb0d60bc863fde78a1bb3c95cdd44f84b26d2f7639708515d80e05d"}}