{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:4ZWQQAC2H75AT735ZV2JVGBRNK","short_pith_number":"pith:4ZWQQAC2","canonical_record":{"source":{"id":"1312.1796","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-12-06T08:17:42Z","cross_cats_sorted":[],"title_canon_sha256":"c1298f9fdd807e3614c137a79424a9cb9e4b21dd94e93aaa65b0e170d87cd607","abstract_canon_sha256":"f210bf8a36e2fbd5f5e0fec5c87e201f47570532976b377aab4615b8a59d6474"},"schema_version":"1.0"},"canonical_sha256":"e66d08005a3ffa09ff7dcd749a98316a86eea5e31ecf275b244bfcf83ec3635e","source":{"kind":"arxiv","id":"1312.1796","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.1796","created_at":"2026-05-18T03:05:19Z"},{"alias_kind":"arxiv_version","alias_value":"1312.1796v1","created_at":"2026-05-18T03:05:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.1796","created_at":"2026-05-18T03:05:19Z"},{"alias_kind":"pith_short_12","alias_value":"4ZWQQAC2H75A","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"4ZWQQAC2H75AT735","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"4ZWQQAC2","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:4ZWQQAC2H75AT735ZV2JVGBRNK","target":"record","payload":{"canonical_record":{"source":{"id":"1312.1796","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-12-06T08:17:42Z","cross_cats_sorted":[],"title_canon_sha256":"c1298f9fdd807e3614c137a79424a9cb9e4b21dd94e93aaa65b0e170d87cd607","abstract_canon_sha256":"f210bf8a36e2fbd5f5e0fec5c87e201f47570532976b377aab4615b8a59d6474"},"schema_version":"1.0"},"canonical_sha256":"e66d08005a3ffa09ff7dcd749a98316a86eea5e31ecf275b244bfcf83ec3635e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:05:19.744693Z","signature_b64":"v2iwGd5ljSZSwEAyQ9YlceaXRn5J4GCYLgz9xou9E3BXf4kcT2HXU5b5D57y4KV/4lFOH+Q8S+3ngooJwZTCCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e66d08005a3ffa09ff7dcd749a98316a86eea5e31ecf275b244bfcf83ec3635e","last_reissued_at":"2026-05-18T03:05:19.744167Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:05:19.744167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.1796","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":"2026-05-18T03:05:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"keL69XVCHn7IXFe7nU50Kwr3j/9lxCC39Ex5n3VE5fAksK5G1kKwsK4LGGjl+5W7uC4ZnSGAFkK50tdMqtrZAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T20:13:42.275878Z"},"content_sha256":"62434cba75930f936733bdda82186f6994f617ab9fc0d25846199e117808d8bd","schema_version":"1.0","event_id":"sha256:62434cba75930f936733bdda82186f6994f617ab9fc0d25846199e117808d8bd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:4ZWQQAC2H75AT735ZV2JVGBRNK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Discussions on the crossover property within the Nambu--Jona-Lasinio model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Hong-shi Zong, Yi-lun Du, Yong-hui Xia, Zhu-Fang Cui","submitted_at":"2013-12-06T08:17:42Z","abstract_excerpt":"In this paper, chiral symmetry breaking and its restoration are investigated in the mean field approximation of Nambu--Jona-Lasinio model. A first-order phase transition exists at low temperature, but is smeared out at high temperature. We discuss the rationality of using susceptibilities as the criteria to determine the crossover region as well as the critical point. Based on our results, it is found that to define a critical band instead of an exclusive line in this region might be a more suitable choice."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.1796","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":"2026-05-18T03:05:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1ptcMEfsVYrUarDXdDU/yO6bFK2MgFuQO0l+dWtkwWEAvHuZvF2M736dBqKTrhzDAwUZ3PtSsnNDTURnYJ7yCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T20:13:42.276599Z"},"content_sha256":"7fd3315f7b659ca8a5e3206b9227635d851fc023258118eb56f27d719f7b2739","schema_version":"1.0","event_id":"sha256:7fd3315f7b659ca8a5e3206b9227635d851fc023258118eb56f27d719f7b2739"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4ZWQQAC2H75AT735ZV2JVGBRNK/bundle.json","state_url":"https://pith.science/pith/4ZWQQAC2H75AT735ZV2JVGBRNK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4ZWQQAC2H75AT735ZV2JVGBRNK/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":"2026-05-31T20:13:42Z","links":{"resolver":"https://pith.science/pith/4ZWQQAC2H75AT735ZV2JVGBRNK","bundle":"https://pith.science/pith/4ZWQQAC2H75AT735ZV2JVGBRNK/bundle.json","state":"https://pith.science/pith/4ZWQQAC2H75AT735ZV2JVGBRNK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4ZWQQAC2H75AT735ZV2JVGBRNK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:4ZWQQAC2H75AT735ZV2JVGBRNK","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":"f210bf8a36e2fbd5f5e0fec5c87e201f47570532976b377aab4615b8a59d6474","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-12-06T08:17:42Z","title_canon_sha256":"c1298f9fdd807e3614c137a79424a9cb9e4b21dd94e93aaa65b0e170d87cd607"},"schema_version":"1.0","source":{"id":"1312.1796","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.1796","created_at":"2026-05-18T03:05:19Z"},{"alias_kind":"arxiv_version","alias_value":"1312.1796v1","created_at":"2026-05-18T03:05:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.1796","created_at":"2026-05-18T03:05:19Z"},{"alias_kind":"pith_short_12","alias_value":"4ZWQQAC2H75A","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"4ZWQQAC2H75AT735","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"4ZWQQAC2","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:7fd3315f7b659ca8a5e3206b9227635d851fc023258118eb56f27d719f7b2739","target":"graph","created_at":"2026-05-18T03:05:19Z","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":"In this paper, chiral symmetry breaking and its restoration are investigated in the mean field approximation of Nambu--Jona-Lasinio model. A first-order phase transition exists at low temperature, but is smeared out at high temperature. We discuss the rationality of using susceptibilities as the criteria to determine the crossover region as well as the critical point. Based on our results, it is found that to define a critical band instead of an exclusive line in this region might be a more suitable choice.","authors_text":"Hong-shi Zong, Yi-lun Du, Yong-hui Xia, Zhu-Fang Cui","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-12-06T08:17:42Z","title":"Discussions on the crossover property within the Nambu--Jona-Lasinio model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.1796","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":"sha256:62434cba75930f936733bdda82186f6994f617ab9fc0d25846199e117808d8bd","target":"record","created_at":"2026-05-18T03:05:19Z","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":"f210bf8a36e2fbd5f5e0fec5c87e201f47570532976b377aab4615b8a59d6474","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-12-06T08:17:42Z","title_canon_sha256":"c1298f9fdd807e3614c137a79424a9cb9e4b21dd94e93aaa65b0e170d87cd607"},"schema_version":"1.0","source":{"id":"1312.1796","kind":"arxiv","version":1}},"canonical_sha256":"e66d08005a3ffa09ff7dcd749a98316a86eea5e31ecf275b244bfcf83ec3635e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e66d08005a3ffa09ff7dcd749a98316a86eea5e31ecf275b244bfcf83ec3635e","first_computed_at":"2026-05-18T03:05:19.744167Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:05:19.744167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v2iwGd5ljSZSwEAyQ9YlceaXRn5J4GCYLgz9xou9E3BXf4kcT2HXU5b5D57y4KV/4lFOH+Q8S+3ngooJwZTCCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:05:19.744693Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.1796","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:62434cba75930f936733bdda82186f6994f617ab9fc0d25846199e117808d8bd","sha256:7fd3315f7b659ca8a5e3206b9227635d851fc023258118eb56f27d719f7b2739"],"state_sha256":"ed06df9839d7870f32890466baa8b97718b49c7629a2a096bfc5b453e9acf2f7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wDA4jt0qlHqZFMzCh5dApPoIv31uvyXStlfoQIRzw5D6zMQlZjfuVC6SA6sqCeSY/aiKyJJZgAPrLuAxObITCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T20:13:42.279691Z","bundle_sha256":"b233363bb210632b508b5f72d9b8a4748972cb16b30aafdea25180f49eb5c22c"}}