{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:R4FA3CQT5IZCVKJIM4MWIT25WP","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":"0919c29c2beb42e015598a1a34728e14a102ba643ed652ac7dba148af4081095","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2004-02-23T18:41:14Z","title_canon_sha256":"9ecea001437c9070add8176ee2e2663e3c0ed454847206b1e8cdf3c15bbfaff4"},"schema_version":"1.0","source":{"id":"hep-th/0402183","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0402183","created_at":"2026-05-18T02:35:39Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0402183v1","created_at":"2026-05-18T02:35:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0402183","created_at":"2026-05-18T02:35:39Z"},{"alias_kind":"pith_short_12","alias_value":"R4FA3CQT5IZC","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"R4FA3CQT5IZCVKJI","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"R4FA3CQT","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:137ff64f9e8fcd23f28b0a4eafb50803e90c2bec063757163cfa7eb3f37491b0","target":"graph","created_at":"2026-05-18T02:35:39Z","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":"It has recently been shown that a non-Hermitian Hamiltonian H possessing an unbroken PT symmetry (i) has a real spectrum that is bounded below, and (ii) defines a unitary theory of quantum mechanics with positive norm. The proof of unitarity requires a linear operator C, which was originally defined as a sum over the eigenfunctions of H. However, using this definition to calculate C is cumbersome in quantum mechanics and impossible in quantum field theory. An alternative method is devised here for calculating C directly in terms of the operator dynamical variables of the quantum theory. This n","authors_text":"Carl M. Bender, Dorje C. Brody, Hugh F. Jones","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2004-02-23T18:41:14Z","title":"Extension of PT-Symmetric Quantum Mechanics to Quantum Field Theory with Cubic Interaction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0402183","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":"sha256:6d522323e591d91c1feb17536ea088f35ec5262a771e0a99b5e9dcbe450f1be7","target":"record","created_at":"2026-05-18T02:35:39Z","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":"0919c29c2beb42e015598a1a34728e14a102ba643ed652ac7dba148af4081095","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2004-02-23T18:41:14Z","title_canon_sha256":"9ecea001437c9070add8176ee2e2663e3c0ed454847206b1e8cdf3c15bbfaff4"},"schema_version":"1.0","source":{"id":"hep-th/0402183","kind":"arxiv","version":1}},"canonical_sha256":"8f0a0d8a13ea322aa9286719644f5db3ffbfb5c14b134260670cccdc723e3fc3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f0a0d8a13ea322aa9286719644f5db3ffbfb5c14b134260670cccdc723e3fc3","first_computed_at":"2026-05-18T02:35:39.912149Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:39.912149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y1DrMFwaOxREnNzf/hELDIABL3oX/5HCDG++fM7nL2fxZWMbkGtjj103Udj4GEM+vo9ya1wbqoOpRgaEJXtCAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:39.912596Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0402183","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d522323e591d91c1feb17536ea088f35ec5262a771e0a99b5e9dcbe450f1be7","sha256:137ff64f9e8fcd23f28b0a4eafb50803e90c2bec063757163cfa7eb3f37491b0"],"state_sha256":"8e3b3c6cd1c6f43e34080f4b18e329be379be67e36b6f1f8ce8b680cb281d13c"}