{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:DHFVESPKNLL7ZMO6Q2NIBFGE5K","short_pith_number":"pith:DHFVESPK","canonical_record":{"source":{"id":"0908.4257","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-08-28T18:51:26Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"695d1fadaedff762c3ba8955c0494425a2ef10e4baa30b6980be4dba99473660","abstract_canon_sha256":"9bad7cff182c344bf8cb4e818d80ad0db254a3bae10c78a4f157db6503569c18"},"schema_version":"1.0"},"canonical_sha256":"19cb5249ea6ad7fcb1de869a8094c4ea82f6c6ac9ad091bbd75f35423a34d9cd","source":{"kind":"arxiv","id":"0908.4257","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.4257","created_at":"2026-05-18T02:48:43Z"},{"alias_kind":"arxiv_version","alias_value":"0908.4257v2","created_at":"2026-05-18T02:48:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.4257","created_at":"2026-05-18T02:48:43Z"},{"alias_kind":"pith_short_12","alias_value":"DHFVESPKNLL7","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"DHFVESPKNLL7ZMO6","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"DHFVESPK","created_at":"2026-05-18T12:25:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:DHFVESPKNLL7ZMO6Q2NIBFGE5K","target":"record","payload":{"canonical_record":{"source":{"id":"0908.4257","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-08-28T18:51:26Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"695d1fadaedff762c3ba8955c0494425a2ef10e4baa30b6980be4dba99473660","abstract_canon_sha256":"9bad7cff182c344bf8cb4e818d80ad0db254a3bae10c78a4f157db6503569c18"},"schema_version":"1.0"},"canonical_sha256":"19cb5249ea6ad7fcb1de869a8094c4ea82f6c6ac9ad091bbd75f35423a34d9cd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:43.905413Z","signature_b64":"Rx4hEgDeaOItOyxlMVE2TzszJSm6GPImpL8DEDtxgOSA66wgvxz/x0aRhJ/JsC3/els/8nfMg3LkHzY1oAGDBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"19cb5249ea6ad7fcb1de869a8094c4ea82f6c6ac9ad091bbd75f35423a34d9cd","last_reissued_at":"2026-05-18T02:48:43.904848Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:43.904848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0908.4257","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":"c1vzAcmEh2QL1t2ewm5jdQmFiZI8rAHiw01hHpOamfHt3k6unPJM+gyy61/MnhsOPlsTXulrrtI68YW5ThCCBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:54:08.203067Z"},"content_sha256":"f3577ec03f99c768890c8c65ede99e54d1a16c7623e0a71af529a91aac2b59d6","schema_version":"1.0","event_id":"sha256:f3577ec03f99c768890c8c65ede99e54d1a16c7623e0a71af529a91aac2b59d6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:DHFVESPKNLL7ZMO6Q2NIBFGE5K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Relativistic Non-Hermitian Quantum Mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"hep-th","authors_text":"Harsh Mathur, Katherine Jones-Smith","submitted_at":"2009-08-28T18:51:26Z","abstract_excerpt":"We develop relativistic wave equations in the framework of the new non-hermitian ${\\cal PT}$ quantum mechanics. The familiar Hermitian Dirac equation emerges as an exact result of imposing the Dirac algebra, the criteria of ${\\cal PT}$-symmetric quantum mechanics, and relativistic invariance. However, relaxing the constraint that in particular the mass matrix be Hermitian also allows for models that have no counterpart in conventional quantum mechanics. For example it is well-known that a quartet of Weyl spinors coupled by a Hermitian mass matrix reduces to two independent Dirac fermions; here"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.4257","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":"H0sXmOTUWbItwoegPq4xiw8v/vl9U9E5apnvOoddVjmhYFBVA8Uoxm/dzzWwiDibnXj947eFmUHnKGLzUaG5DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:54:08.203438Z"},"content_sha256":"6acff31770b947890b2f4a35a15a9eec65a0e6b0c271754f362308c12843034f","schema_version":"1.0","event_id":"sha256:6acff31770b947890b2f4a35a15a9eec65a0e6b0c271754f362308c12843034f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DHFVESPKNLL7ZMO6Q2NIBFGE5K/bundle.json","state_url":"https://pith.science/pith/DHFVESPKNLL7ZMO6Q2NIBFGE5K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DHFVESPKNLL7ZMO6Q2NIBFGE5K/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":"2026-05-30T08:54:08Z","links":{"resolver":"https://pith.science/pith/DHFVESPKNLL7ZMO6Q2NIBFGE5K","bundle":"https://pith.science/pith/DHFVESPKNLL7ZMO6Q2NIBFGE5K/bundle.json","state":"https://pith.science/pith/DHFVESPKNLL7ZMO6Q2NIBFGE5K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DHFVESPKNLL7ZMO6Q2NIBFGE5K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:DHFVESPKNLL7ZMO6Q2NIBFGE5K","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":"9bad7cff182c344bf8cb4e818d80ad0db254a3bae10c78a4f157db6503569c18","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-08-28T18:51:26Z","title_canon_sha256":"695d1fadaedff762c3ba8955c0494425a2ef10e4baa30b6980be4dba99473660"},"schema_version":"1.0","source":{"id":"0908.4257","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.4257","created_at":"2026-05-18T02:48:43Z"},{"alias_kind":"arxiv_version","alias_value":"0908.4257v2","created_at":"2026-05-18T02:48:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.4257","created_at":"2026-05-18T02:48:43Z"},{"alias_kind":"pith_short_12","alias_value":"DHFVESPKNLL7","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"DHFVESPKNLL7ZMO6","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"DHFVESPK","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:6acff31770b947890b2f4a35a15a9eec65a0e6b0c271754f362308c12843034f","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":"We develop relativistic wave equations in the framework of the new non-hermitian ${\\cal PT}$ quantum mechanics. The familiar Hermitian Dirac equation emerges as an exact result of imposing the Dirac algebra, the criteria of ${\\cal PT}$-symmetric quantum mechanics, and relativistic invariance. However, relaxing the constraint that in particular the mass matrix be Hermitian also allows for models that have no counterpart in conventional quantum mechanics. For example it is well-known that a quartet of Weyl spinors coupled by a Hermitian mass matrix reduces to two independent Dirac fermions; here","authors_text":"Harsh Mathur, Katherine Jones-Smith","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-08-28T18:51:26Z","title":"Relativistic Non-Hermitian Quantum Mechanics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.4257","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:f3577ec03f99c768890c8c65ede99e54d1a16c7623e0a71af529a91aac2b59d6","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":"9bad7cff182c344bf8cb4e818d80ad0db254a3bae10c78a4f157db6503569c18","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-08-28T18:51:26Z","title_canon_sha256":"695d1fadaedff762c3ba8955c0494425a2ef10e4baa30b6980be4dba99473660"},"schema_version":"1.0","source":{"id":"0908.4257","kind":"arxiv","version":2}},"canonical_sha256":"19cb5249ea6ad7fcb1de869a8094c4ea82f6c6ac9ad091bbd75f35423a34d9cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19cb5249ea6ad7fcb1de869a8094c4ea82f6c6ac9ad091bbd75f35423a34d9cd","first_computed_at":"2026-05-18T02:48:43.904848Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:48:43.904848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rx4hEgDeaOItOyxlMVE2TzszJSm6GPImpL8DEDtxgOSA66wgvxz/x0aRhJ/JsC3/els/8nfMg3LkHzY1oAGDBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:48:43.905413Z","signed_message":"canonical_sha256_bytes"},"source_id":"0908.4257","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3577ec03f99c768890c8c65ede99e54d1a16c7623e0a71af529a91aac2b59d6","sha256:6acff31770b947890b2f4a35a15a9eec65a0e6b0c271754f362308c12843034f"],"state_sha256":"69ba070576ca2d29459d07738c84ec478d153ac494fd3edebd39cbe001f91f56"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4iSqwN4bXZTCloiPACq2w3oLiCo17J3FX9EJApq4nV7ywjXm+X7XC9dXzqULv8Jolfhw3qvefH4SotDczSPOAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T08:54:08.205533Z","bundle_sha256":"d0e8c42b2110c13e96de0d6889d61b32b52f5bd1573dbde0f0470da5be25ce8c"}}