{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:7AFKSSQXTN7RGT2JQXBVL2R42T","short_pith_number":"pith:7AFKSSQX","canonical_record":{"source":{"id":"1802.09942","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-02-26T15:00:42Z","cross_cats_sorted":[],"title_canon_sha256":"f7682171e09efc7c1f499c92122f0ff58d25e52951d430e35b08283f83198f4e","abstract_canon_sha256":"9b8a710548f3d30b59db108520f7709bed46e7ce6d8542aee46a80ee93dc5749"},"schema_version":"1.0"},"canonical_sha256":"f80aa94a179b7f134f4985c355ea3cd4d9f4310dfac5702e79b3d5ee22650bb7","source":{"kind":"arxiv","id":"1802.09942","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.09942","created_at":"2026-05-18T00:03:00Z"},{"alias_kind":"arxiv_version","alias_value":"1802.09942v2","created_at":"2026-05-18T00:03:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.09942","created_at":"2026-05-18T00:03:00Z"},{"alias_kind":"pith_short_12","alias_value":"7AFKSSQXTN7R","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7AFKSSQXTN7RGT2J","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7AFKSSQX","created_at":"2026-05-18T12:32:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:7AFKSSQXTN7RGT2JQXBVL2R42T","target":"record","payload":{"canonical_record":{"source":{"id":"1802.09942","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-02-26T15:00:42Z","cross_cats_sorted":[],"title_canon_sha256":"f7682171e09efc7c1f499c92122f0ff58d25e52951d430e35b08283f83198f4e","abstract_canon_sha256":"9b8a710548f3d30b59db108520f7709bed46e7ce6d8542aee46a80ee93dc5749"},"schema_version":"1.0"},"canonical_sha256":"f80aa94a179b7f134f4985c355ea3cd4d9f4310dfac5702e79b3d5ee22650bb7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:00.051328Z","signature_b64":"NGmNHa4YCB8uLf8jK0YAF/c/ZbX5AOEW+gchwv+dNdOefkzykl+CsJIha6k2XmJxde0yuqi/iIBKhnDzQKUkDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f80aa94a179b7f134f4985c355ea3cd4d9f4310dfac5702e79b3d5ee22650bb7","last_reissued_at":"2026-05-18T00:03:00.050947Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:00.050947Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.09942","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":"2026-05-18T00:03:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8/Oh+pg6HBjEt0zpXJMycsQS4C9xQT8VyHwwoUzCxDQlqNWHOncF6h38nUuS8/xZs1OPemSWGY75Xw+15KfUCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:17:30.486277Z"},"content_sha256":"aee0141aab50b06c60a2b349fe870e9646fdb39604295e0473751c8f9fc6bab0","schema_version":"1.0","event_id":"sha256:aee0141aab50b06c60a2b349fe870e9646fdb39604295e0473751c8f9fc6bab0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:7AFKSSQXTN7RGT2JQXBVL2R42T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fermion Self-energy and Pseudovector Condensate in NJL Model with External Magnetic Field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Hong-shi Zong, Song Shi, Yi-lun Du, Yi Tang, Yong-hui Xia, Zhu-Fang Cui","submitted_at":"2018-02-26T15:00:42Z","abstract_excerpt":"In this paper, we aim to study the complete self-energy in the fermion propagator within two-flavor NJL model in the case of finite temperature, chemical potential and external magnetic field. Through Fierz transformation we prove that the self-energy is not simply proportional to dynamical mass in the presence of chemical potential, moreover, it contains four kinds of condensates after introducing external magnetic field. We find out the appropriate and complete form of self-energy and establish new gap equations. We take two of the four condensates (scalar and pseudovector condensates) to ma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.09942","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":"2026-05-18T00:03:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w8rIxQUQrLTc1lvvA6jujrUR6w+m4KI+AiAiXZFMwn+M3nglYWLD5E3S64Pfu5DhWUEzAirBmfhYkbSXfaE8Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:17:30.486689Z"},"content_sha256":"08d703b39e16b51676441397cae5c44f907c46ec5948ad65d9b9a7c0c006c7d3","schema_version":"1.0","event_id":"sha256:08d703b39e16b51676441397cae5c44f907c46ec5948ad65d9b9a7c0c006c7d3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7AFKSSQXTN7RGT2JQXBVL2R42T/bundle.json","state_url":"https://pith.science/pith/7AFKSSQXTN7RGT2JQXBVL2R42T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7AFKSSQXTN7RGT2JQXBVL2R42T/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":"2026-05-31T01:17:30Z","links":{"resolver":"https://pith.science/pith/7AFKSSQXTN7RGT2JQXBVL2R42T","bundle":"https://pith.science/pith/7AFKSSQXTN7RGT2JQXBVL2R42T/bundle.json","state":"https://pith.science/pith/7AFKSSQXTN7RGT2JQXBVL2R42T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7AFKSSQXTN7RGT2JQXBVL2R42T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:7AFKSSQXTN7RGT2JQXBVL2R42T","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":"9b8a710548f3d30b59db108520f7709bed46e7ce6d8542aee46a80ee93dc5749","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-02-26T15:00:42Z","title_canon_sha256":"f7682171e09efc7c1f499c92122f0ff58d25e52951d430e35b08283f83198f4e"},"schema_version":"1.0","source":{"id":"1802.09942","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.09942","created_at":"2026-05-18T00:03:00Z"},{"alias_kind":"arxiv_version","alias_value":"1802.09942v2","created_at":"2026-05-18T00:03:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.09942","created_at":"2026-05-18T00:03:00Z"},{"alias_kind":"pith_short_12","alias_value":"7AFKSSQXTN7R","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7AFKSSQXTN7RGT2J","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7AFKSSQX","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:08d703b39e16b51676441397cae5c44f907c46ec5948ad65d9b9a7c0c006c7d3","target":"graph","created_at":"2026-05-18T00:03:00Z","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, we aim to study the complete self-energy in the fermion propagator within two-flavor NJL model in the case of finite temperature, chemical potential and external magnetic field. Through Fierz transformation we prove that the self-energy is not simply proportional to dynamical mass in the presence of chemical potential, moreover, it contains four kinds of condensates after introducing external magnetic field. We find out the appropriate and complete form of self-energy and establish new gap equations. We take two of the four condensates (scalar and pseudovector condensates) to ma","authors_text":"Hong-shi Zong, Song Shi, Yi-lun Du, Yi Tang, Yong-hui Xia, Zhu-Fang Cui","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-02-26T15:00:42Z","title":"Fermion Self-energy and Pseudovector Condensate in NJL Model with External Magnetic Field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.09942","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:aee0141aab50b06c60a2b349fe870e9646fdb39604295e0473751c8f9fc6bab0","target":"record","created_at":"2026-05-18T00:03:00Z","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":"9b8a710548f3d30b59db108520f7709bed46e7ce6d8542aee46a80ee93dc5749","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-02-26T15:00:42Z","title_canon_sha256":"f7682171e09efc7c1f499c92122f0ff58d25e52951d430e35b08283f83198f4e"},"schema_version":"1.0","source":{"id":"1802.09942","kind":"arxiv","version":2}},"canonical_sha256":"f80aa94a179b7f134f4985c355ea3cd4d9f4310dfac5702e79b3d5ee22650bb7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f80aa94a179b7f134f4985c355ea3cd4d9f4310dfac5702e79b3d5ee22650bb7","first_computed_at":"2026-05-18T00:03:00.050947Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:00.050947Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NGmNHa4YCB8uLf8jK0YAF/c/ZbX5AOEW+gchwv+dNdOefkzykl+CsJIha6k2XmJxde0yuqi/iIBKhnDzQKUkDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:00.051328Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.09942","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aee0141aab50b06c60a2b349fe870e9646fdb39604295e0473751c8f9fc6bab0","sha256:08d703b39e16b51676441397cae5c44f907c46ec5948ad65d9b9a7c0c006c7d3"],"state_sha256":"66df367af50bddc71ce8001f39fee617d601ff499fd45db958cbe6043b5fecde"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1VIuVwSC2aGlKI7TUZWDRv/FqPQlh9DteX+2JD70yH5nUe4Pr4rclDlPLkCpWHfSxrsdJKZ0XtTYX0AM2gdjBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T01:17:30.488688Z","bundle_sha256":"da8dd292874058c43e96512f4a5d7523097f15d11c937ba86691e1f2c83b7da7"}}