{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:DSG5PZESOWGFQ46PZWOF2NVPNC","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":"1bf66e8979f7b0abca572daa26af76b6e3a873b1dea7c08a179e99c0cc1586cf","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-04-01T14:22:26Z","title_canon_sha256":"17a3adf0b450fb7ab502bec5b0552d114e40b3346e72a3056141ebeac15f8c6d"},"schema_version":"1.0","source":{"id":"1904.00878","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.00878","created_at":"2026-05-17T23:41:42Z"},{"alias_kind":"arxiv_version","alias_value":"1904.00878v1","created_at":"2026-05-17T23:41:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.00878","created_at":"2026-05-17T23:41:42Z"},{"alias_kind":"pith_short_12","alias_value":"DSG5PZESOWGF","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"DSG5PZESOWGFQ46P","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"DSG5PZES","created_at":"2026-05-18T12:33:15Z"}],"graph_snapshots":[{"event_id":"sha256:2dbc95ebb3631ed53146688d208b11fcc75a3df3212a19ef7b9ad4e07a0db8ad","target":"graph","created_at":"2026-05-17T23:41:42Z","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":"Relativistic PT-symmetric fermionic interacting systems are studied in 1+1 and 3+1 dimensions. The objective is to include non-Hermitian PT-symmetric interaction terms that give {\\it real} spectra. Such interacting systems could describe new physics. The simplest non-Hermitian Lagrangian density is $L=L_0+L_{int}=\\bar\\psi(i\\not\\partial-m)\\psi-g\\bar\\psi\\gamma^5\\psi$. The associated relativistic Dirac equation is PT invariant in 1+1 dimensions and the associated Hamiltonian commutes with PT. However, the dispersion relation $p^2=m^2-g^2$ shows that the PT symmetry is broken in the chiral limit $","authors_text":"Alireza Beygi, C. M. Bender, S. P. Klevansky","cross_cats":["hep-th","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-04-01T14:22:26Z","title":"Relativistic PT-symmetric fermionic theories in 1+1 and 3+1 dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.00878","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":"sha256:1deb9342d36e85510b360d2f015355b8e11059aa317ee82f69cd1b421f8b75d2","target":"record","created_at":"2026-05-17T23:41:42Z","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":"1bf66e8979f7b0abca572daa26af76b6e3a873b1dea7c08a179e99c0cc1586cf","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-04-01T14:22:26Z","title_canon_sha256":"17a3adf0b450fb7ab502bec5b0552d114e40b3346e72a3056141ebeac15f8c6d"},"schema_version":"1.0","source":{"id":"1904.00878","kind":"arxiv","version":1}},"canonical_sha256":"1c8dd7e492758c5873cfcd9c5d36af689e5c1c3bc0c436414daef2280746c602","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c8dd7e492758c5873cfcd9c5d36af689e5c1c3bc0c436414daef2280746c602","first_computed_at":"2026-05-17T23:41:42.571568Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:42.571568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JVfB/OEEYaa6l7H9kxQKsGiRcTPDighXgbahtvL8b6KbETwthwGnt+fRonQTL2QeK/QI3Eks6+IpFXf8izD8BA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:42.572062Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.00878","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1deb9342d36e85510b360d2f015355b8e11059aa317ee82f69cd1b421f8b75d2","sha256:2dbc95ebb3631ed53146688d208b11fcc75a3df3212a19ef7b9ad4e07a0db8ad"],"state_sha256":"82d36da7d8fea145dc17efa3381aacd89bdc447b8c3cc1091ef6b54d6d2a7816"}