{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:S7S63ST3OSPUFJWNL5AXYODDOB","short_pith_number":"pith:S7S63ST3","schema_version":"1.0","canonical_sha256":"97e5edca7b749f42a6cd5f417c3863706dfcdfeacec6f6d071ea628d50fca4ae","source":{"kind":"arxiv","id":"hep-th/0106154","version":5},"attestation_state":"computed","paper":{"title":"Chiral Phase Transitions","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"M. D. Scadron, P. Zenczykowski","submitted_at":"2001-06-18T10:49:44Z","abstract_excerpt":"We show that melting the quark mass, the scalar $\\sigma $ mass and the quark condensate leads uniquely to the quark-level SU(2) linear $\\sigma $ model field theory. Upon thermalization, the chiral phase transition curve requires $T_c =2f^{CL}_{\\pi}\\approx 180 MeV$ when $\\mu = 0$, while the critical chemical potential is $\\mu_c =m_q\\approx 325 MeV$. Transition to the superconductive phase occurs at $T^{(SC)}_c=\\Delta /\\pi e^{-\\gamma_E}$. Coloured diquarks suggest $T_c^{(SC)}<180 MeV$."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"hep-th/0106154","kind":"arxiv","version":5},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2001-06-18T10:49:44Z","cross_cats_sorted":[],"title_canon_sha256":"51a560105639fe9effe7f417a37c7e5abb776f8c7348a75604f2cd27c592cec4","abstract_canon_sha256":"179815801fc8a7a5d4e91db42656edc2400bb779d40d7640eb42f00966ee63e6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:36:11.953122Z","signature_b64":"j3Bbcj1AMCV5NoUGKqL8t/akVTf/xtkb7kz42wNZ7SIId8+t/0yAjiwgMLahQu7WuRMfxrkEsI7aSCU7ydjvDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97e5edca7b749f42a6cd5f417c3863706dfcdfeacec6f6d071ea628d50fca4ae","last_reissued_at":"2026-05-18T02:36:11.952583Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:36:11.952583Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Chiral Phase Transitions","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"M. D. Scadron, P. Zenczykowski","submitted_at":"2001-06-18T10:49:44Z","abstract_excerpt":"We show that melting the quark mass, the scalar $\\sigma $ mass and the quark condensate leads uniquely to the quark-level SU(2) linear $\\sigma $ model field theory. Upon thermalization, the chiral phase transition curve requires $T_c =2f^{CL}_{\\pi}\\approx 180 MeV$ when $\\mu = 0$, while the critical chemical potential is $\\mu_c =m_q\\approx 325 MeV$. Transition to the superconductive phase occurs at $T^{(SC)}_c=\\Delta /\\pi e^{-\\gamma_E}$. Coloured diquarks suggest $T_c^{(SC)}<180 MeV$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0106154","kind":"arxiv","version":5},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0106154","created_at":"2026-05-18T02:36:11.952662+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0106154v5","created_at":"2026-05-18T02:36:11.952662+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0106154","created_at":"2026-05-18T02:36:11.952662+00:00"},{"alias_kind":"pith_short_12","alias_value":"S7S63ST3OSPU","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_16","alias_value":"S7S63ST3OSPUFJWN","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_8","alias_value":"S7S63ST3","created_at":"2026-05-18T12:25:50.845339+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/S7S63ST3OSPUFJWNL5AXYODDOB","json":"https://pith.science/pith/S7S63ST3OSPUFJWNL5AXYODDOB.json","graph_json":"https://pith.science/api/pith-number/S7S63ST3OSPUFJWNL5AXYODDOB/graph.json","events_json":"https://pith.science/api/pith-number/S7S63ST3OSPUFJWNL5AXYODDOB/events.json","paper":"https://pith.science/paper/S7S63ST3"},"agent_actions":{"view_html":"https://pith.science/pith/S7S63ST3OSPUFJWNL5AXYODDOB","download_json":"https://pith.science/pith/S7S63ST3OSPUFJWNL5AXYODDOB.json","view_paper":"https://pith.science/paper/S7S63ST3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0106154&json=true","fetch_graph":"https://pith.science/api/pith-number/S7S63ST3OSPUFJWNL5AXYODDOB/graph.json","fetch_events":"https://pith.science/api/pith-number/S7S63ST3OSPUFJWNL5AXYODDOB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S7S63ST3OSPUFJWNL5AXYODDOB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S7S63ST3OSPUFJWNL5AXYODDOB/action/storage_attestation","attest_author":"https://pith.science/pith/S7S63ST3OSPUFJWNL5AXYODDOB/action/author_attestation","sign_citation":"https://pith.science/pith/S7S63ST3OSPUFJWNL5AXYODDOB/action/citation_signature","submit_replication":"https://pith.science/pith/S7S63ST3OSPUFJWNL5AXYODDOB/action/replication_record"}},"created_at":"2026-05-18T02:36:11.952662+00:00","updated_at":"2026-05-18T02:36:11.952662+00:00"}