{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:EIEB5RQ7VYMXO2XAS7XN7533RQ","short_pith_number":"pith:EIEB5RQ7","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"},"canonical_sha256":"22081ec61fae19776ae097eedff77b8c33d1cc0005961cd9dcf0ed8162ac4d35","source":{"kind":"arxiv","id":"1202.5658","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.5658","created_at":"2026-05-18T02:48:43Z"},{"alias_kind":"arxiv_version","alias_value":"1202.5658v2","created_at":"2026-05-18T02:48:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5658","created_at":"2026-05-18T02:48:43Z"},{"alias_kind":"pith_short_12","alias_value":"EIEB5RQ7VYMX","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EIEB5RQ7VYMXO2XA","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EIEB5RQ7","created_at":"2026-05-18T12:27:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:EIEB5RQ7VYMXO2XAS7XN7533RQ","target":"record","payload":{"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"},"canonical_sha256":"22081ec61fae19776ae097eedff77b8c33d1cc0005961cd9dcf0ed8162ac4d35","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"},"source_kind":"arxiv","source_id":"1202.5658","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":"2026-05-18T02:48:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Jh5F2dYskWoVdwfZJwGet2ZrisiefhDQhvEPlTTjPBOyUtpri3Zv8YSdFtaKgeRXEORq39hh81px1LCZs5fBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T19:38:23.682456Z"},"content_sha256":"f1c497510de6bc81aced3a29d5ec41b7318a92919c6f3e0479198244d9ac1ffa","schema_version":"1.0","event_id":"sha256:f1c497510de6bc81aced3a29d5ec41b7318a92919c6f3e0479198244d9ac1ffa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:EIEB5RQ7VYMXO2XAS7XN7533RQ","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:48:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WoRFseB8ZrHQtVC6U8i7VGwjIadBbm2yxqUKn0/3IRp5kb87lm8P0B1YMHxOahKkdo97OG5VvVX3m+t0ka3aDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T19:38:23.683294Z"},"content_sha256":"c5a15825342453209fc04a9a7fd9cd03967770b0a1a26575488adfe5458333b0","schema_version":"1.0","event_id":"sha256:c5a15825342453209fc04a9a7fd9cd03967770b0a1a26575488adfe5458333b0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EIEB5RQ7VYMXO2XAS7XN7533RQ/bundle.json","state_url":"https://pith.science/pith/EIEB5RQ7VYMXO2XAS7XN7533RQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EIEB5RQ7VYMXO2XAS7XN7533RQ/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":"2026-06-05T19:38:23Z","links":{"resolver":"https://pith.science/pith/EIEB5RQ7VYMXO2XAS7XN7533RQ","bundle":"https://pith.science/pith/EIEB5RQ7VYMXO2XAS7XN7533RQ/bundle.json","state":"https://pith.science/pith/EIEB5RQ7VYMXO2XAS7XN7533RQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EIEB5RQ7VYMXO2XAS7XN7533RQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:EIEB5RQ7VYMXO2XAS7XN7533RQ","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":"a3305d4ee5acffea14ac993e973385e611d17d21a852a52216e53f56cbdaf02d","cross_cats_sorted":["astro-ph.SR","hep-ph","nucl-ex"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2012-02-25T16:04:51Z","title_canon_sha256":"7147048bb334181dbeed7183fa676b94a9188e46f0cd7a63853583d6f77d93b9"},"schema_version":"1.0","source":{"id":"1202.5658","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.5658","created_at":"2026-05-18T02:48:43Z"},{"alias_kind":"arxiv_version","alias_value":"1202.5658v2","created_at":"2026-05-18T02:48:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5658","created_at":"2026-05-18T02:48:43Z"},{"alias_kind":"pith_short_12","alias_value":"EIEB5RQ7VYMX","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EIEB5RQ7VYMXO2XA","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EIEB5RQ7","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:c5a15825342453209fc04a9a7fd9cd03967770b0a1a26575488adfe5458333b0","target":"graph","created_at":"2026-05-18T02:48:43Z","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":"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","authors_text":"Bao-Jun Cai, Lie-Wen Chen","cross_cats":["astro-ph.SR","hep-ph","nucl-ex"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2012-02-25T16:04:51Z","title":"Lorentz covariant nucleon self-energy decomposition of the nuclear symmetry energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5658","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:f1c497510de6bc81aced3a29d5ec41b7318a92919c6f3e0479198244d9ac1ffa","target":"record","created_at":"2026-05-18T02:48:43Z","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":"a3305d4ee5acffea14ac993e973385e611d17d21a852a52216e53f56cbdaf02d","cross_cats_sorted":["astro-ph.SR","hep-ph","nucl-ex"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2012-02-25T16:04:51Z","title_canon_sha256":"7147048bb334181dbeed7183fa676b94a9188e46f0cd7a63853583d6f77d93b9"},"schema_version":"1.0","source":{"id":"1202.5658","kind":"arxiv","version":2}},"canonical_sha256":"22081ec61fae19776ae097eedff77b8c33d1cc0005961cd9dcf0ed8162ac4d35","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22081ec61fae19776ae097eedff77b8c33d1cc0005961cd9dcf0ed8162ac4d35","first_computed_at":"2026-05-18T02:48:43.842947Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:48:43.842947Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bfjZ4g4HZmEg0cZwxpb5GTSrLHsJtsJee/+w+kl7Xn9Rfo1KKP8a40gBt364w703XbBVPNqTM6AVlWLsZ5CcAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:48:43.843581Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.5658","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f1c497510de6bc81aced3a29d5ec41b7318a92919c6f3e0479198244d9ac1ffa","sha256:c5a15825342453209fc04a9a7fd9cd03967770b0a1a26575488adfe5458333b0"],"state_sha256":"ea08cf2f40fc0675a57e7e961d058a994d8b1daf274db831684cd01958bd5d5a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cMHRpNxntjjTLcZSIRWQVFhEbkf/3QgLzskUaK38FVTYk0sx1EWqIwLkbzYbj4RC3rguAyHOhCVDmnf8aVOeCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T19:38:23.688052Z","bundle_sha256":"dc0181fde7c544499d6ec91f6720a36c130cfe79ef8262d31548e281218630ba"}}