{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:B4JAEVB7DVDNXMP3KVAQ6DLM6P","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":"b9c188524462d00cc68fb332f15b3574bffe2e1defc58545f2953df384e31cbe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-19T14:47:44Z","title_canon_sha256":"87c824c6e1554abc05938692967b9a961fcb8ebbea81eabc13d9f8c957ccf71b"},"schema_version":"1.0","source":{"id":"1611.06373","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.06373","created_at":"2026-05-18T00:50:37Z"},{"alias_kind":"arxiv_version","alias_value":"1611.06373v2","created_at":"2026-05-18T00:50:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.06373","created_at":"2026-05-18T00:50:37Z"},{"alias_kind":"pith_short_12","alias_value":"B4JAEVB7DVDN","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"B4JAEVB7DVDNXMP3","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"B4JAEVB7","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:2b3d69e9e670458f2954e4c233625b0f72cb0b71195a7bd66d444b033cfc4e01","target":"graph","created_at":"2026-05-18T00:50:37Z","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 use a compatibility between the conformal symmetry and the equations of motion to solve the one-point function in the critical $\\phi^3$-theory (a.k.a the critical Lee-Yang model) on the $d = 6 - \\epsilon$ dimensional real projective space to the first non-trivial order in the $\\epsilon$-expansion. It reproduces the conventional perturbation theory and agrees with the numerical conformal bootstrap result.","authors_text":"Chika Hasegawa, Yu Nakayama","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-19T14:47:44Z","title":"$\\epsilon$-Expansion in Critical $\\phi^3$-Theory on Real Projective Space from Conformal Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.06373","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:e3b896fc24cbddce0d411329c9391ec0a49f1543fe00d9bfe94ac7a98e9482a8","target":"record","created_at":"2026-05-18T00:50:37Z","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":"b9c188524462d00cc68fb332f15b3574bffe2e1defc58545f2953df384e31cbe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-19T14:47:44Z","title_canon_sha256":"87c824c6e1554abc05938692967b9a961fcb8ebbea81eabc13d9f8c957ccf71b"},"schema_version":"1.0","source":{"id":"1611.06373","kind":"arxiv","version":2}},"canonical_sha256":"0f1202543f1d46dbb1fb55410f0d6cf3d9ffa24bd12eda03c4121c8015192f39","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f1202543f1d46dbb1fb55410f0d6cf3d9ffa24bd12eda03c4121c8015192f39","first_computed_at":"2026-05-18T00:50:37.508594Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:37.508594Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6AQ/sZuRy6OdyIIbWBEZCVqYPPLmy2xNBbz7C9Y2ErDy5mB5Cp+BXh/XlDDGc1kfQo8d0zfK+SZVwzRDjW9ECQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:37.509288Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.06373","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e3b896fc24cbddce0d411329c9391ec0a49f1543fe00d9bfe94ac7a98e9482a8","sha256:2b3d69e9e670458f2954e4c233625b0f72cb0b71195a7bd66d444b033cfc4e01"],"state_sha256":"0dcde79b738a69b04fc20d4ec6c9b77119f1547bf769bef3da9c3aa33aac4790"}