{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:B4JAEVB7DVDNXMP3KVAQ6DLM6P","short_pith_number":"pith:B4JAEVB7","canonical_record":{"source":{"id":"1611.06373","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-19T14:47:44Z","cross_cats_sorted":[],"title_canon_sha256":"87c824c6e1554abc05938692967b9a961fcb8ebbea81eabc13d9f8c957ccf71b","abstract_canon_sha256":"b9c188524462d00cc68fb332f15b3574bffe2e1defc58545f2953df384e31cbe"},"schema_version":"1.0"},"canonical_sha256":"0f1202543f1d46dbb1fb55410f0d6cf3d9ffa24bd12eda03c4121c8015192f39","source":{"kind":"arxiv","id":"1611.06373","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:B4JAEVB7DVDNXMP3KVAQ6DLM6P","target":"record","payload":{"canonical_record":{"source":{"id":"1611.06373","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-19T14:47:44Z","cross_cats_sorted":[],"title_canon_sha256":"87c824c6e1554abc05938692967b9a961fcb8ebbea81eabc13d9f8c957ccf71b","abstract_canon_sha256":"b9c188524462d00cc68fb332f15b3574bffe2e1defc58545f2953df384e31cbe"},"schema_version":"1.0"},"canonical_sha256":"0f1202543f1d46dbb1fb55410f0d6cf3d9ffa24bd12eda03c4121c8015192f39","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:37.509288Z","signature_b64":"6AQ/sZuRy6OdyIIbWBEZCVqYPPLmy2xNBbz7C9Y2ErDy5mB5Cp+BXh/XlDDGc1kfQo8d0zfK+SZVwzRDjW9ECQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f1202543f1d46dbb1fb55410f0d6cf3d9ffa24bd12eda03c4121c8015192f39","last_reissued_at":"2026-05-18T00:50:37.508594Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:37.508594Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.06373","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":"2026-05-18T00:50:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BG58y1pvkmljWJaiUFBI+J+XTa4Ga7K6gZyPAkG1RS0NJ4vfw564Lr/f3ayFxn2rrmYTSJTlQrI6vJTqRp/WDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T20:57:12.865412Z"},"content_sha256":"e3b896fc24cbddce0d411329c9391ec0a49f1543fe00d9bfe94ac7a98e9482a8","schema_version":"1.0","event_id":"sha256:e3b896fc24cbddce0d411329c9391ec0a49f1543fe00d9bfe94ac7a98e9482a8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:B4JAEVB7DVDNXMP3KVAQ6DLM6P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$\\epsilon$-Expansion in Critical $\\phi^3$-Theory on Real Projective Space from Conformal Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Chika Hasegawa, Yu Nakayama","submitted_at":"2016-11-19T14:47:44Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.06373","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":""},"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":"2026-05-18T00:50:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NfsID9KDzIYzvqYA5jc7r5Lhp5c/PQ4eKd/wMHdcJ2jy9m18GCL5DxCqA7Yy/SpZPMJ1lkCA0wm5sReH7BPWDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T20:57:12.865993Z"},"content_sha256":"2b3d69e9e670458f2954e4c233625b0f72cb0b71195a7bd66d444b033cfc4e01","schema_version":"1.0","event_id":"sha256:2b3d69e9e670458f2954e4c233625b0f72cb0b71195a7bd66d444b033cfc4e01"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B4JAEVB7DVDNXMP3KVAQ6DLM6P/bundle.json","state_url":"https://pith.science/pith/B4JAEVB7DVDNXMP3KVAQ6DLM6P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B4JAEVB7DVDNXMP3KVAQ6DLM6P/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":"2026-05-21T20:57:12Z","links":{"resolver":"https://pith.science/pith/B4JAEVB7DVDNXMP3KVAQ6DLM6P","bundle":"https://pith.science/pith/B4JAEVB7DVDNXMP3KVAQ6DLM6P/bundle.json","state":"https://pith.science/pith/B4JAEVB7DVDNXMP3KVAQ6DLM6P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B4JAEVB7DVDNXMP3KVAQ6DLM6P/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"huUcpGauWkjz22kB4mbykN4wKxHLFu2htyR7w/hcn6YtptM+cYIHsYmhhLtjML02mUtqCqSqNTrTNa2iT59VCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T20:57:12.868184Z","bundle_sha256":"f8ea4a7d8b7fc98150155c08169f485e8ef36e5fa4708817a9630c7eb586efaa"}}