{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:V2MQL7JC7WIFCFE44NHKHTI7MG","short_pith_number":"pith:V2MQL7JC","canonical_record":{"source":{"id":"2211.15683","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-11-28T19:00:00Z","cross_cats_sorted":["hep-ph","nucl-th"],"title_canon_sha256":"8a8b49ad625a4bcc26315a1948523ff4a2bbd93585907bd48b38e40de658f8d0","abstract_canon_sha256":"767ba3c1f1d16172d19c39b2b7f7b5c1b18f29ad64327d5b6fbd14ebb5091fec"},"schema_version":"1.0"},"canonical_sha256":"ae9905fd22fd9051149ce34ea3cd1f61a8f0c7e5bb2e47465b15442f71d414e4","source":{"kind":"arxiv","id":"2211.15683","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.15683","created_at":"2026-07-05T05:39:54Z"},{"alias_kind":"arxiv_version","alias_value":"2211.15683v2","created_at":"2026-07-05T05:39:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.15683","created_at":"2026-07-05T05:39:54Z"},{"alias_kind":"pith_short_12","alias_value":"V2MQL7JC7WIF","created_at":"2026-07-05T05:39:54Z"},{"alias_kind":"pith_short_16","alias_value":"V2MQL7JC7WIFCFE4","created_at":"2026-07-05T05:39:54Z"},{"alias_kind":"pith_short_8","alias_value":"V2MQL7JC","created_at":"2026-07-05T05:39:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:V2MQL7JC7WIFCFE44NHKHTI7MG","target":"record","payload":{"canonical_record":{"source":{"id":"2211.15683","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-11-28T19:00:00Z","cross_cats_sorted":["hep-ph","nucl-th"],"title_canon_sha256":"8a8b49ad625a4bcc26315a1948523ff4a2bbd93585907bd48b38e40de658f8d0","abstract_canon_sha256":"767ba3c1f1d16172d19c39b2b7f7b5c1b18f29ad64327d5b6fbd14ebb5091fec"},"schema_version":"1.0"},"canonical_sha256":"ae9905fd22fd9051149ce34ea3cd1f61a8f0c7e5bb2e47465b15442f71d414e4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:39:54.693885Z","signature_b64":"pMb65j5lRIqDB7TP1bBTb0qgJdUoHxe9/6dCDDNQlHvkX/CZHzwztMWe0szyo3I41d2gojXOTWd6cO6QKvhuDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ae9905fd22fd9051149ce34ea3cd1f61a8f0c7e5bb2e47465b15442f71d414e4","last_reissued_at":"2026-07-05T05:39:54.693478Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:39:54.693478Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2211.15683","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":"2026-07-05T05:39:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IXndJ0XNHvdYrArzeMBzqJx+uVJhYBBKnMdXhigy+bVgTCDcmqLxudUWF8JaFviipquDa54hs7yMNT7sM8QfBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T08:12:41.387691Z"},"content_sha256":"7b619eb93bdbcfd5ca66e2586b0caf48e7d050c36fe6428898af418b238d2b67","schema_version":"1.0","event_id":"sha256:7b619eb93bdbcfd5ca66e2586b0caf48e7d050c36fe6428898af418b238d2b67"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:V2MQL7JC7WIFCFE44NHKHTI7MG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A solvable quantum field theory with asymptotic freedom in 3+1 dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","nucl-th"],"primary_cat":"hep-th","authors_text":"Paul Romatschke","submitted_at":"2022-11-28T19:00:00Z","abstract_excerpt":"Recently, Ai, Bender and Sarkar gave a prescription on how to obtain $\\mathcal{PT}$-symmetric field theory results from an analytic continuation of Hermitian field theories. I perform this analytic continuation for the massless (critical) O(N) model with quartic interaction in 3+1 dimensions. In the large N limit, this theory is exactly solvable, and has negative $\\beta$-function in the ultraviolet, and a stable bound state in the infrared. The coupling diverges at a scale $\\Lambda_c$, but can be continued into the far infrared. At finite temperature, the theory exhibits two phases separated b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.15683","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2211.15683/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T05:39:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K6JRIInmFlXQ7iFLrUd9bWA44qXFimBs9naz4aB8+zzVS+IW//u+9jd/atyMpdxi/hd6P8Ei3d1yOQmqNxqFCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T08:12:41.388530Z"},"content_sha256":"69ab4e11f8881ae8c3f6740a6164071d018bea214b573f790de27afc9518010e","schema_version":"1.0","event_id":"sha256:69ab4e11f8881ae8c3f6740a6164071d018bea214b573f790de27afc9518010e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V2MQL7JC7WIFCFE44NHKHTI7MG/bundle.json","state_url":"https://pith.science/pith/V2MQL7JC7WIFCFE44NHKHTI7MG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V2MQL7JC7WIFCFE44NHKHTI7MG/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":"2026-08-12T08:12:41Z","links":{"resolver":"https://pith.science/pith/V2MQL7JC7WIFCFE44NHKHTI7MG","bundle":"https://pith.science/pith/V2MQL7JC7WIFCFE44NHKHTI7MG/bundle.json","state":"https://pith.science/pith/V2MQL7JC7WIFCFE44NHKHTI7MG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V2MQL7JC7WIFCFE44NHKHTI7MG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:V2MQL7JC7WIFCFE44NHKHTI7MG","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":"767ba3c1f1d16172d19c39b2b7f7b5c1b18f29ad64327d5b6fbd14ebb5091fec","cross_cats_sorted":["hep-ph","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-11-28T19:00:00Z","title_canon_sha256":"8a8b49ad625a4bcc26315a1948523ff4a2bbd93585907bd48b38e40de658f8d0"},"schema_version":"1.0","source":{"id":"2211.15683","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.15683","created_at":"2026-07-05T05:39:54Z"},{"alias_kind":"arxiv_version","alias_value":"2211.15683v2","created_at":"2026-07-05T05:39:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.15683","created_at":"2026-07-05T05:39:54Z"},{"alias_kind":"pith_short_12","alias_value":"V2MQL7JC7WIF","created_at":"2026-07-05T05:39:54Z"},{"alias_kind":"pith_short_16","alias_value":"V2MQL7JC7WIFCFE4","created_at":"2026-07-05T05:39:54Z"},{"alias_kind":"pith_short_8","alias_value":"V2MQL7JC","created_at":"2026-07-05T05:39:54Z"}],"graph_snapshots":[{"event_id":"sha256:69ab4e11f8881ae8c3f6740a6164071d018bea214b573f790de27afc9518010e","target":"graph","created_at":"2026-07-05T05:39:54Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2211.15683/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recently, Ai, Bender and Sarkar gave a prescription on how to obtain $\\mathcal{PT}$-symmetric field theory results from an analytic continuation of Hermitian field theories. I perform this analytic continuation for the massless (critical) O(N) model with quartic interaction in 3+1 dimensions. In the large N limit, this theory is exactly solvable, and has negative $\\beta$-function in the ultraviolet, and a stable bound state in the infrared. The coupling diverges at a scale $\\Lambda_c$, but can be continued into the far infrared. At finite temperature, the theory exhibits two phases separated b","authors_text":"Paul Romatschke","cross_cats":["hep-ph","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-11-28T19:00:00Z","title":"A solvable quantum field theory with asymptotic freedom in 3+1 dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.15683","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":"sha256:7b619eb93bdbcfd5ca66e2586b0caf48e7d050c36fe6428898af418b238d2b67","target":"record","created_at":"2026-07-05T05:39:54Z","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":"767ba3c1f1d16172d19c39b2b7f7b5c1b18f29ad64327d5b6fbd14ebb5091fec","cross_cats_sorted":["hep-ph","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-11-28T19:00:00Z","title_canon_sha256":"8a8b49ad625a4bcc26315a1948523ff4a2bbd93585907bd48b38e40de658f8d0"},"schema_version":"1.0","source":{"id":"2211.15683","kind":"arxiv","version":2}},"canonical_sha256":"ae9905fd22fd9051149ce34ea3cd1f61a8f0c7e5bb2e47465b15442f71d414e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae9905fd22fd9051149ce34ea3cd1f61a8f0c7e5bb2e47465b15442f71d414e4","first_computed_at":"2026-07-05T05:39:54.693478Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:39:54.693478Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pMb65j5lRIqDB7TP1bBTb0qgJdUoHxe9/6dCDDNQlHvkX/CZHzwztMWe0szyo3I41d2gojXOTWd6cO6QKvhuDg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:39:54.693885Z","signed_message":"canonical_sha256_bytes"},"source_id":"2211.15683","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b619eb93bdbcfd5ca66e2586b0caf48e7d050c36fe6428898af418b238d2b67","sha256:69ab4e11f8881ae8c3f6740a6164071d018bea214b573f790de27afc9518010e"],"state_sha256":"38298a689257d28f016a377fe9a373e656fb82d97ead4d2dcbee8bba9d4b843f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hscSS06PWzOkGdjKrpBX71xSnQpJ0OpZa8Y2cNOee5i4XdpCmvsb/bTPNjxEk9N3eoKuPz/GcbIC+zWuuBbLCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T08:12:41.403674Z","bundle_sha256":"0770c14b55564bd085775a794da559521efddad160e754eba520f62627c5af52"}}