{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:I7CHYOYJMCMRABR7GAHDPHBYBA","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":"21f16a70f8f7cf0f8706aa82861c7b1f5f22c208ad06b9a19676699ee5a1dd36","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1999-07-07T15:32:13Z","title_canon_sha256":"a63db517caad4cac835150e88a6a664ca2a40d53238800d09f7c937a63184ad3"},"schema_version":"1.0","source":{"id":"hep-th/9907045","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9907045","created_at":"2026-05-18T04:13:57Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9907045v1","created_at":"2026-05-18T04:13:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9907045","created_at":"2026-05-18T04:13:57Z"},{"alias_kind":"pith_short_12","alias_value":"I7CHYOYJMCMR","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"I7CHYOYJMCMRABR7","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"I7CHYOYJ","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:0438eba4bf5d3b0e8576a398a9333cf73092d0f58a8ce2625de75c5463ee8e23","target":"graph","created_at":"2026-05-18T04:13:57Z","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 recent papers it has been observed that non-Hermitian Hamiltonians, such as those describing $ig\\phi^3$ and $-g\\phi^4$ field theories, still possess real positive spectra so long as the weaker condition of ${\\cal PT}$ symmetry holds. This allows for the possibility of new kinds of quantum field theories that have strange and quite unexpected properties. In this paper a technique based on truncating the Schwinger-Dyson equations is presented for renormalizing and solving such field theories. Using this technique it is argued that a $-g\\phi^4$ scalar quantum field theory in four-dimensional s","authors_text":"Carl M. Bender, Kimball A. Milton, Van M. Savage","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1999-07-07T15:32:13Z","title":"Solution of Schwinger-Dyson Equations for ${\\cal PT}$-Symmetric Quantum Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9907045","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":"sha256:912d032b0ac37e348ce98ef224279272133e446e920cdedb0e83d6b38b119aa0","target":"record","created_at":"2026-05-18T04:13:57Z","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":"21f16a70f8f7cf0f8706aa82861c7b1f5f22c208ad06b9a19676699ee5a1dd36","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1999-07-07T15:32:13Z","title_canon_sha256":"a63db517caad4cac835150e88a6a664ca2a40d53238800d09f7c937a63184ad3"},"schema_version":"1.0","source":{"id":"hep-th/9907045","kind":"arxiv","version":1}},"canonical_sha256":"47c47c3b09609910063f300e379c3808039ed4b46ef572d7d7389f5b66d79b32","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47c47c3b09609910063f300e379c3808039ed4b46ef572d7d7389f5b66d79b32","first_computed_at":"2026-05-18T04:13:57.169168Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:13:57.169168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KHNW8ahDVkaaqyM/UNeV1vNPLCdDEzaksyhrF5ATvMgNMB6C6PVEi7W/b31dj9CI39sdkVidHaGSdnSQgyVhBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:13:57.169875Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9907045","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:912d032b0ac37e348ce98ef224279272133e446e920cdedb0e83d6b38b119aa0","sha256:0438eba4bf5d3b0e8576a398a9333cf73092d0f58a8ce2625de75c5463ee8e23"],"state_sha256":"301ef4266d7425feba56f3fc8055c0efed7e75cc037d64071ac475f7bbacb7be"}