{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:6KO64N3W47BIV77I5SIUHAZQXU","short_pith_number":"pith:6KO64N3W","canonical_record":{"source":{"id":"2310.03815","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2023-10-05T18:07:12Z","cross_cats_sorted":["hep-ph","hep-th","nucl-th"],"title_canon_sha256":"3f7b4bb46bc675c26eb7f8ba574347da1b41dbb66e80d5d80a0bfaf7803e651a","abstract_canon_sha256":"41a4d0c9590e363d1c3e06d8f78774175c8fc1ac8beb4e1d720084fcae3a6cde"},"schema_version":"1.0"},"canonical_sha256":"f29dee3776e7c28affe8ec91438330bd19370cb80b88728a8a7e54fdcb6e524d","source":{"kind":"arxiv","id":"2310.03815","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.03815","created_at":"2026-07-05T06:57:41Z"},{"alias_kind":"arxiv_version","alias_value":"2310.03815v1","created_at":"2026-07-05T06:57:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.03815","created_at":"2026-07-05T06:57:41Z"},{"alias_kind":"pith_short_12","alias_value":"6KO64N3W47BI","created_at":"2026-07-05T06:57:41Z"},{"alias_kind":"pith_short_16","alias_value":"6KO64N3W47BIV77I","created_at":"2026-07-05T06:57:41Z"},{"alias_kind":"pith_short_8","alias_value":"6KO64N3W","created_at":"2026-07-05T06:57:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:6KO64N3W47BIV77I5SIUHAZQXU","target":"record","payload":{"canonical_record":{"source":{"id":"2310.03815","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2023-10-05T18:07:12Z","cross_cats_sorted":["hep-ph","hep-th","nucl-th"],"title_canon_sha256":"3f7b4bb46bc675c26eb7f8ba574347da1b41dbb66e80d5d80a0bfaf7803e651a","abstract_canon_sha256":"41a4d0c9590e363d1c3e06d8f78774175c8fc1ac8beb4e1d720084fcae3a6cde"},"schema_version":"1.0"},"canonical_sha256":"f29dee3776e7c28affe8ec91438330bd19370cb80b88728a8a7e54fdcb6e524d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:57:41.236342Z","signature_b64":"agSJOIcCfaJgtQizzHTVuodhc3tG7WryweDyeT0T72m3eRoc6avGM0j6vkp2+3wMcy7NrbOiBSvF8bk+NJ5GBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f29dee3776e7c28affe8ec91438330bd19370cb80b88728a8a7e54fdcb6e524d","last_reissued_at":"2026-07-05T06:57:41.235798Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:57:41.235798Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2310.03815","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:57:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q31/ODlDMRKe/guaBbMqo1YR9Q1gfcKTfGFgB3WVblhKxxtwCiNNW/POLdgk+5Yt1gWhCQ/WiQ8yGLN/DgoICg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T20:49:13.621760Z"},"content_sha256":"93f468c8206b0b037945fa512538b2ef7cecef92d7b803259a1791eb423f64e3","schema_version":"1.0","event_id":"sha256:93f468c8206b0b037945fa512538b2ef7cecef92d7b803259a1791eb423f64e3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:6KO64N3W47BIV77I5SIUHAZQXU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Negative Coupling $\\phi^4$ on the Lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","hep-th","nucl-th"],"primary_cat":"hep-lat","authors_text":"Paul Romatschke","submitted_at":"2023-10-05T18:07:12Z","abstract_excerpt":"Triviality of $\\phi^4$ theory in four dimensions can be avoided if the bare coupling constant is negative in the UV. Theories with negative coupling can be put on the lattice if the integration domain for $\\phi(x)$ is contour-deformed from the real to the complex domain. In 0+1d (quantum mechanics), one can recover results from $\\mathcal{PT}$-symmetric quantum mechanics in this way. In this work, I report on an attempt to put negative coupling $\\phi^4$ theory in 4 dimensions on the lattice."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.03815","kind":"arxiv","version":1},"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/2310.03815/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":"2026-07-05T06:57:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j6iAWxtzGvD1pHvjF7D/5hLf1Y+X6d3rgnKTatYHarn5PuKfQuq4V5m+u19ydOvyuniAN3TJE9YGEN4WaCU+Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T20:49:13.622366Z"},"content_sha256":"89d379a3859521b2da81ff3b3b4cf534e0ecc50bda150bc4fe38bb6b99d26213","schema_version":"1.0","event_id":"sha256:89d379a3859521b2da81ff3b3b4cf534e0ecc50bda150bc4fe38bb6b99d26213"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6KO64N3W47BIV77I5SIUHAZQXU/bundle.json","state_url":"https://pith.science/pith/6KO64N3W47BIV77I5SIUHAZQXU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6KO64N3W47BIV77I5SIUHAZQXU/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":"2026-08-20T20:49:13Z","links":{"resolver":"https://pith.science/pith/6KO64N3W47BIV77I5SIUHAZQXU","bundle":"https://pith.science/pith/6KO64N3W47BIV77I5SIUHAZQXU/bundle.json","state":"https://pith.science/pith/6KO64N3W47BIV77I5SIUHAZQXU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6KO64N3W47BIV77I5SIUHAZQXU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:6KO64N3W47BIV77I5SIUHAZQXU","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":"41a4d0c9590e363d1c3e06d8f78774175c8fc1ac8beb4e1d720084fcae3a6cde","cross_cats_sorted":["hep-ph","hep-th","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2023-10-05T18:07:12Z","title_canon_sha256":"3f7b4bb46bc675c26eb7f8ba574347da1b41dbb66e80d5d80a0bfaf7803e651a"},"schema_version":"1.0","source":{"id":"2310.03815","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.03815","created_at":"2026-07-05T06:57:41Z"},{"alias_kind":"arxiv_version","alias_value":"2310.03815v1","created_at":"2026-07-05T06:57:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.03815","created_at":"2026-07-05T06:57:41Z"},{"alias_kind":"pith_short_12","alias_value":"6KO64N3W47BI","created_at":"2026-07-05T06:57:41Z"},{"alias_kind":"pith_short_16","alias_value":"6KO64N3W47BIV77I","created_at":"2026-07-05T06:57:41Z"},{"alias_kind":"pith_short_8","alias_value":"6KO64N3W","created_at":"2026-07-05T06:57:41Z"}],"graph_snapshots":[{"event_id":"sha256:89d379a3859521b2da81ff3b3b4cf534e0ecc50bda150bc4fe38bb6b99d26213","target":"graph","created_at":"2026-07-05T06:57:41Z","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/2310.03815/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Triviality of $\\phi^4$ theory in four dimensions can be avoided if the bare coupling constant is negative in the UV. Theories with negative coupling can be put on the lattice if the integration domain for $\\phi(x)$ is contour-deformed from the real to the complex domain. In 0+1d (quantum mechanics), one can recover results from $\\mathcal{PT}$-symmetric quantum mechanics in this way. In this work, I report on an attempt to put negative coupling $\\phi^4$ theory in 4 dimensions on the lattice.","authors_text":"Paul Romatschke","cross_cats":["hep-ph","hep-th","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2023-10-05T18:07:12Z","title":"Negative Coupling $\\phi^4$ on the Lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.03815","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":"sha256:93f468c8206b0b037945fa512538b2ef7cecef92d7b803259a1791eb423f64e3","target":"record","created_at":"2026-07-05T06:57:41Z","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":"41a4d0c9590e363d1c3e06d8f78774175c8fc1ac8beb4e1d720084fcae3a6cde","cross_cats_sorted":["hep-ph","hep-th","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2023-10-05T18:07:12Z","title_canon_sha256":"3f7b4bb46bc675c26eb7f8ba574347da1b41dbb66e80d5d80a0bfaf7803e651a"},"schema_version":"1.0","source":{"id":"2310.03815","kind":"arxiv","version":1}},"canonical_sha256":"f29dee3776e7c28affe8ec91438330bd19370cb80b88728a8a7e54fdcb6e524d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f29dee3776e7c28affe8ec91438330bd19370cb80b88728a8a7e54fdcb6e524d","first_computed_at":"2026-07-05T06:57:41.235798Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:57:41.235798Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"agSJOIcCfaJgtQizzHTVuodhc3tG7WryweDyeT0T72m3eRoc6avGM0j6vkp2+3wMcy7NrbOiBSvF8bk+NJ5GBg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:57:41.236342Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.03815","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:93f468c8206b0b037945fa512538b2ef7cecef92d7b803259a1791eb423f64e3","sha256:89d379a3859521b2da81ff3b3b4cf534e0ecc50bda150bc4fe38bb6b99d26213"],"state_sha256":"9cef22ca87b156f2cf6a83968140f7885c646c8413a37ee989c18e462ae66090"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wt/FTnzEEEsL+NpBxizWXnSQjBASd7dqd9swp0QngCs0OPnyEafDJ9rcmw1oBunfs6EO9ewFl83J4ZsrN/+MBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T20:49:13.627691Z","bundle_sha256":"f9d32a9e40fcf2ab65fcbe8196f188bb9020a97921cfdfcb7fab82947da5cb98"}}