{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:TEXVUXZZ57YGTX5SM2FLQF7N7N","short_pith_number":"pith:TEXVUXZZ","canonical_record":{"source":{"id":"0801.3426","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2008-01-22T17:59:14Z","cross_cats_sorted":[],"title_canon_sha256":"ace10baf82d927df95d48c6de3d6b7ad0eac3f7df3304deb85bfc03cefb0b26e","abstract_canon_sha256":"bc979c13b9388e0399d08609a7e5e0699b90dbcb0719ded6333564d741e7e245"},"schema_version":"1.0"},"canonical_sha256":"992f5a5f39eff069dfb2668ab817edfb65f9046fbd54b5f64fd40db47f84625e","source":{"kind":"arxiv","id":"0801.3426","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0801.3426","created_at":"2026-07-04T15:39:52Z"},{"alias_kind":"arxiv_version","alias_value":"0801.3426v1","created_at":"2026-07-04T15:39:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0801.3426","created_at":"2026-07-04T15:39:52Z"},{"alias_kind":"pith_short_12","alias_value":"TEXVUXZZ57YG","created_at":"2026-07-04T15:39:52Z"},{"alias_kind":"pith_short_16","alias_value":"TEXVUXZZ57YGTX5S","created_at":"2026-07-04T15:39:52Z"},{"alias_kind":"pith_short_8","alias_value":"TEXVUXZZ","created_at":"2026-07-04T15:39:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:TEXVUXZZ57YGTX5SM2FLQF7N7N","target":"record","payload":{"canonical_record":{"source":{"id":"0801.3426","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2008-01-22T17:59:14Z","cross_cats_sorted":[],"title_canon_sha256":"ace10baf82d927df95d48c6de3d6b7ad0eac3f7df3304deb85bfc03cefb0b26e","abstract_canon_sha256":"bc979c13b9388e0399d08609a7e5e0699b90dbcb0719ded6333564d741e7e245"},"schema_version":"1.0"},"canonical_sha256":"992f5a5f39eff069dfb2668ab817edfb65f9046fbd54b5f64fd40db47f84625e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:39:52.536578Z","signature_b64":"O301uyzMYtrk8PrC46cLw+2IWVvkuqk/H8hnJhH4HMouGjpXIZ+kURlK6PyyibUlwIjjiB6gnN5IVwI0LRLaCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"992f5a5f39eff069dfb2668ab817edfb65f9046fbd54b5f64fd40db47f84625e","last_reissued_at":"2026-07-04T15:39:52.536221Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:39:52.536221Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0801.3426","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":"2026-07-04T15:39:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2ucLIcW2Cfa3Ez0pGGb3AnlA8ns94fTfUrec9RWcNV7HIjqmaraUoEaykfW+XvPr0lbuyp5SQAaCEJO8aYMPAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T04:40:04.305484Z"},"content_sha256":"876c340987d0e8fd10cc722c700264be70dae25200d66a5eacb1a3d53be9fcd7","schema_version":"1.0","event_id":"sha256:876c340987d0e8fd10cc722c700264be70dae25200d66a5eacb1a3d53be9fcd7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:TEXVUXZZ57YGTX5SM2FLQF7N7N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase structure, critical points and susceptibilities in Nambu-Jona-Lasinio type models","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"C. A de Sousa, M. C. Ruivo, Pedro Costa","submitted_at":"2008-01-22T17:59:14Z","abstract_excerpt":"We investigate the chiral phase transition at finite temperature and chemical potential within SU(2) and SU(3) Nambu-Jona-Lasinio type models. The behavior of the baryon number susceptibility and the specific heat, in the vicinity of the critical end point, is studied. The class of the critical points is analyzed by calculating critical exponents."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.3426","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0801.3426/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:39:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MrP5lhU0ADFR8bFLK24+JilfIwN1XdzZjz/Kh/Y7EZUuAEsV2RM1GGl/CnQG6pwkem+NCV1czjvB7EJYXyCfCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T04:40:04.305985Z"},"content_sha256":"415189bd39b548585b00aab14b6537da09f06a6a75d7da99b01ad5e065542dc0","schema_version":"1.0","event_id":"sha256:415189bd39b548585b00aab14b6537da09f06a6a75d7da99b01ad5e065542dc0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TEXVUXZZ57YGTX5SM2FLQF7N7N/bundle.json","state_url":"https://pith.science/pith/TEXVUXZZ57YGTX5SM2FLQF7N7N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TEXVUXZZ57YGTX5SM2FLQF7N7N/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":"2026-08-19T04:40:04Z","links":{"resolver":"https://pith.science/pith/TEXVUXZZ57YGTX5SM2FLQF7N7N","bundle":"https://pith.science/pith/TEXVUXZZ57YGTX5SM2FLQF7N7N/bundle.json","state":"https://pith.science/pith/TEXVUXZZ57YGTX5SM2FLQF7N7N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TEXVUXZZ57YGTX5SM2FLQF7N7N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:TEXVUXZZ57YGTX5SM2FLQF7N7N","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":"bc979c13b9388e0399d08609a7e5e0699b90dbcb0719ded6333564d741e7e245","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2008-01-22T17:59:14Z","title_canon_sha256":"ace10baf82d927df95d48c6de3d6b7ad0eac3f7df3304deb85bfc03cefb0b26e"},"schema_version":"1.0","source":{"id":"0801.3426","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0801.3426","created_at":"2026-07-04T15:39:52Z"},{"alias_kind":"arxiv_version","alias_value":"0801.3426v1","created_at":"2026-07-04T15:39:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0801.3426","created_at":"2026-07-04T15:39:52Z"},{"alias_kind":"pith_short_12","alias_value":"TEXVUXZZ57YG","created_at":"2026-07-04T15:39:52Z"},{"alias_kind":"pith_short_16","alias_value":"TEXVUXZZ57YGTX5S","created_at":"2026-07-04T15:39:52Z"},{"alias_kind":"pith_short_8","alias_value":"TEXVUXZZ","created_at":"2026-07-04T15:39:52Z"}],"graph_snapshots":[{"event_id":"sha256:415189bd39b548585b00aab14b6537da09f06a6a75d7da99b01ad5e065542dc0","target":"graph","created_at":"2026-07-04T15:39:52Z","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/0801.3426/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the chiral phase transition at finite temperature and chemical potential within SU(2) and SU(3) Nambu-Jona-Lasinio type models. The behavior of the baryon number susceptibility and the specific heat, in the vicinity of the critical end point, is studied. The class of the critical points is analyzed by calculating critical exponents.","authors_text":"C. A de Sousa, M. C. Ruivo, Pedro Costa","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2008-01-22T17:59:14Z","title":"Phase structure, critical points and susceptibilities in Nambu-Jona-Lasinio type models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.3426","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":"sha256:876c340987d0e8fd10cc722c700264be70dae25200d66a5eacb1a3d53be9fcd7","target":"record","created_at":"2026-07-04T15:39:52Z","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":"bc979c13b9388e0399d08609a7e5e0699b90dbcb0719ded6333564d741e7e245","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2008-01-22T17:59:14Z","title_canon_sha256":"ace10baf82d927df95d48c6de3d6b7ad0eac3f7df3304deb85bfc03cefb0b26e"},"schema_version":"1.0","source":{"id":"0801.3426","kind":"arxiv","version":1}},"canonical_sha256":"992f5a5f39eff069dfb2668ab817edfb65f9046fbd54b5f64fd40db47f84625e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"992f5a5f39eff069dfb2668ab817edfb65f9046fbd54b5f64fd40db47f84625e","first_computed_at":"2026-07-04T15:39:52.536221Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:39:52.536221Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O301uyzMYtrk8PrC46cLw+2IWVvkuqk/H8hnJhH4HMouGjpXIZ+kURlK6PyyibUlwIjjiB6gnN5IVwI0LRLaCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:39:52.536578Z","signed_message":"canonical_sha256_bytes"},"source_id":"0801.3426","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:876c340987d0e8fd10cc722c700264be70dae25200d66a5eacb1a3d53be9fcd7","sha256:415189bd39b548585b00aab14b6537da09f06a6a75d7da99b01ad5e065542dc0"],"state_sha256":"6f24c333ab832f1c5a33d19ca17c0f4d3265c9690b551dc6e589600ca6b640fe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"37g/VEa+6A+XiCStvNa0WB8xswnoeh768U1MbVCXmXU2Y/yD1l+1CpJ1QsjXcaSlrUXyqxer2EQWd8X1MfScAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T04:40:04.311187Z","bundle_sha256":"a7377ee411da2830847bdeb521e3795d4780514003e8d5a179cce47216a078d2"}}