{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:EIEB5RQ7VYMXO2XAS7XN7533RQ","short_pith_number":"pith:EIEB5RQ7","schema_version":"1.0","canonical_sha256":"22081ec61fae19776ae097eedff77b8c33d1cc0005961cd9dcf0ed8162ac4d35","source":{"kind":"arxiv","id":"1202.5658","version":2},"attestation_state":"computed","paper":{"title":"Lorentz covariant nucleon self-energy decomposition of the nuclear symmetry energy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.SR","hep-ph","nucl-ex"],"primary_cat":"nucl-th","authors_text":"Bao-Jun Cai, Lie-Wen Chen","submitted_at":"2012-02-25T16:04:51Z","abstract_excerpt":"Using the Hugenholtz-Van Hove theorem, we derive analytical expressions for the nuclear symmetry energy $E_{sym}(\\rho)$ and its density slope $L(\\rho)$ in terms of the Lorentz covariant nucleon self-energies in isospin asymmetric nuclear matter. These general expressions are useful for determining the density dependence of the symmetry energy and understanding the Lorentz structure and the microscopic origin of the nuclear symmetry energy in relativistic covariant formulism. As an example, we analyze the Lorentz covariant nucleon self-energy decomposition of $E_{sym}(\\rho)$ and $L(\\rho)$ and d"},"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":"1202.5658","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2012-02-25T16:04:51Z","cross_cats_sorted":["astro-ph.SR","hep-ph","nucl-ex"],"title_canon_sha256":"7147048bb334181dbeed7183fa676b94a9188e46f0cd7a63853583d6f77d93b9","abstract_canon_sha256":"a3305d4ee5acffea14ac993e973385e611d17d21a852a52216e53f56cbdaf02d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:43.843581Z","signature_b64":"bfjZ4g4HZmEg0cZwxpb5GTSrLHsJtsJee/+w+kl7Xn9Rfo1KKP8a40gBt364w703XbBVPNqTM6AVlWLsZ5CcAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"22081ec61fae19776ae097eedff77b8c33d1cc0005961cd9dcf0ed8162ac4d35","last_reissued_at":"2026-05-18T02:48:43.842947Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:43.842947Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lorentz covariant nucleon self-energy decomposition of the nuclear symmetry energy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.SR","hep-ph","nucl-ex"],"primary_cat":"nucl-th","authors_text":"Bao-Jun Cai, Lie-Wen Chen","submitted_at":"2012-02-25T16:04:51Z","abstract_excerpt":"Using the Hugenholtz-Van Hove theorem, we derive analytical expressions for the nuclear symmetry energy $E_{sym}(\\rho)$ and its density slope $L(\\rho)$ in terms of the Lorentz covariant nucleon self-energies in isospin asymmetric nuclear matter. These general expressions are useful for determining the density dependence of the symmetry energy and understanding the Lorentz structure and the microscopic origin of the nuclear symmetry energy in relativistic covariant formulism. As an example, we analyze the Lorentz covariant nucleon self-energy decomposition of $E_{sym}(\\rho)$ and $L(\\rho)$ and d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5658","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1202.5658","created_at":"2026-05-18T02:48:43.843056+00:00"},{"alias_kind":"arxiv_version","alias_value":"1202.5658v2","created_at":"2026-05-18T02:48:43.843056+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5658","created_at":"2026-05-18T02:48:43.843056+00:00"},{"alias_kind":"pith_short_12","alias_value":"EIEB5RQ7VYMX","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_16","alias_value":"EIEB5RQ7VYMXO2XA","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_8","alias_value":"EIEB5RQ7","created_at":"2026-05-18T12:27:04.183437+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/EIEB5RQ7VYMXO2XAS7XN7533RQ","json":"https://pith.science/pith/EIEB5RQ7VYMXO2XAS7XN7533RQ.json","graph_json":"https://pith.science/api/pith-number/EIEB5RQ7VYMXO2XAS7XN7533RQ/graph.json","events_json":"https://pith.science/api/pith-number/EIEB5RQ7VYMXO2XAS7XN7533RQ/events.json","paper":"https://pith.science/paper/EIEB5RQ7"},"agent_actions":{"view_html":"https://pith.science/pith/EIEB5RQ7VYMXO2XAS7XN7533RQ","download_json":"https://pith.science/pith/EIEB5RQ7VYMXO2XAS7XN7533RQ.json","view_paper":"https://pith.science/paper/EIEB5RQ7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1202.5658&json=true","fetch_graph":"https://pith.science/api/pith-number/EIEB5RQ7VYMXO2XAS7XN7533RQ/graph.json","fetch_events":"https://pith.science/api/pith-number/EIEB5RQ7VYMXO2XAS7XN7533RQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EIEB5RQ7VYMXO2XAS7XN7533RQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EIEB5RQ7VYMXO2XAS7XN7533RQ/action/storage_attestation","attest_author":"https://pith.science/pith/EIEB5RQ7VYMXO2XAS7XN7533RQ/action/author_attestation","sign_citation":"https://pith.science/pith/EIEB5RQ7VYMXO2XAS7XN7533RQ/action/citation_signature","submit_replication":"https://pith.science/pith/EIEB5RQ7VYMXO2XAS7XN7533RQ/action/replication_record"}},"created_at":"2026-05-18T02:48:43.843056+00:00","updated_at":"2026-05-18T02:48:43.843056+00:00"}