{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:CXOQZP6YSSQTF2SPBNNH5KAFDN","short_pith_number":"pith:CXOQZP6Y","canonical_record":{"source":{"id":"1805.01480","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-05-03T18:00:06Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"title_canon_sha256":"dac370c56e38474aebe8c1b48a8557b3b81408731de7d6d053595a8d084432c8","abstract_canon_sha256":"a761506a337bce5a911367eb898fb242ec42608144c1e05a0c26c03c4caa196a"},"schema_version":"1.0"},"canonical_sha256":"15dd0cbfd894a132ea4f0b5a7ea8051b5dd51b39769f0a19ddd580621777068f","source":{"kind":"arxiv","id":"1805.01480","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.01480","created_at":"2026-05-18T00:11:34Z"},{"alias_kind":"arxiv_version","alias_value":"1805.01480v1","created_at":"2026-05-18T00:11:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.01480","created_at":"2026-05-18T00:11:34Z"},{"alias_kind":"pith_short_12","alias_value":"CXOQZP6YSSQT","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"CXOQZP6YSSQTF2SP","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"CXOQZP6Y","created_at":"2026-05-18T12:32:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:CXOQZP6YSSQTF2SPBNNH5KAFDN","target":"record","payload":{"canonical_record":{"source":{"id":"1805.01480","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-05-03T18:00:06Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"title_canon_sha256":"dac370c56e38474aebe8c1b48a8557b3b81408731de7d6d053595a8d084432c8","abstract_canon_sha256":"a761506a337bce5a911367eb898fb242ec42608144c1e05a0c26c03c4caa196a"},"schema_version":"1.0"},"canonical_sha256":"15dd0cbfd894a132ea4f0b5a7ea8051b5dd51b39769f0a19ddd580621777068f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:11:34.067267Z","signature_b64":"ZYe00iv0v4wfLMhV9EjMTffj1E4ITlXQGjRb8eMgi5ucd3yTGMuy8bCp8/gUwNhB65omyQAN0YkC6Xx6PU/LCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15dd0cbfd894a132ea4f0b5a7ea8051b5dd51b39769f0a19ddd580621777068f","last_reissued_at":"2026-05-18T00:11:34.066645Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:11:34.066645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.01480","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":"2026-05-18T00:11:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E6VWhWPJdh1CRa6IylbvlPxZLXucmlDGssV1FbnMsSEVngX/+EZo/UoHOmTVlOsLiJmSW3CXMDLctcKA2zmRAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T04:54:54.388978Z"},"content_sha256":"2eb6b0da09743fd32b16ca0653b66f59bb2fffdf4f55a7b7797aede2d78045c0","schema_version":"1.0","event_id":"sha256:2eb6b0da09743fd32b16ca0653b66f59bb2fffdf4f55a7b7797aede2d78045c0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:CXOQZP6YSSQTF2SPBNNH5KAFDN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Critical $O(2)$ field theory near six dimensions beyond one loop","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"Dietrich Roscher, Igor F. Herbut","submitted_at":"2018-05-03T18:00:06Z","abstract_excerpt":"A tensorial representation of $\\phi^4$ field theory introduced in Phys. Rev. D. 93, 085005 (2016) is studied close to six dimensions, with an eye towards a possible realization of an interacting conformal field theory in five dimensions. We employ the two-loop $\\epsilon$-expansion, two-loop fixed-dimension renormalization group, and non-perturbative functional renormalization group. An interacting, real, infrared-stable fixed point is found near six dimensions, and the corresponding anomalous dimensions are computed to the second order in small parameter $\\epsilon=6-d$. Two-loop epsilon-expans"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.01480","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":""},"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":"2026-05-18T00:11:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oPdephJSwgSCl70xQaKQq+58Se3CfCngblawVxye8BcQDoRk8EEccylUDUVtU9Aa6vd7Lxq2iwKK9FxMz+iSDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T04:54:54.389719Z"},"content_sha256":"f0ae18cc4bf5bd2d9563e3905d9a973091348aa506f9de98cd5a1b933562d710","schema_version":"1.0","event_id":"sha256:f0ae18cc4bf5bd2d9563e3905d9a973091348aa506f9de98cd5a1b933562d710"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CXOQZP6YSSQTF2SPBNNH5KAFDN/bundle.json","state_url":"https://pith.science/pith/CXOQZP6YSSQTF2SPBNNH5KAFDN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CXOQZP6YSSQTF2SPBNNH5KAFDN/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":"2026-05-30T04:54:54Z","links":{"resolver":"https://pith.science/pith/CXOQZP6YSSQTF2SPBNNH5KAFDN","bundle":"https://pith.science/pith/CXOQZP6YSSQTF2SPBNNH5KAFDN/bundle.json","state":"https://pith.science/pith/CXOQZP6YSSQTF2SPBNNH5KAFDN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CXOQZP6YSSQTF2SPBNNH5KAFDN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:CXOQZP6YSSQTF2SPBNNH5KAFDN","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":"a761506a337bce5a911367eb898fb242ec42608144c1e05a0c26c03c4caa196a","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-05-03T18:00:06Z","title_canon_sha256":"dac370c56e38474aebe8c1b48a8557b3b81408731de7d6d053595a8d084432c8"},"schema_version":"1.0","source":{"id":"1805.01480","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.01480","created_at":"2026-05-18T00:11:34Z"},{"alias_kind":"arxiv_version","alias_value":"1805.01480v1","created_at":"2026-05-18T00:11:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.01480","created_at":"2026-05-18T00:11:34Z"},{"alias_kind":"pith_short_12","alias_value":"CXOQZP6YSSQT","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"CXOQZP6YSSQTF2SP","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"CXOQZP6Y","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:f0ae18cc4bf5bd2d9563e3905d9a973091348aa506f9de98cd5a1b933562d710","target":"graph","created_at":"2026-05-18T00:11:34Z","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":"A tensorial representation of $\\phi^4$ field theory introduced in Phys. Rev. D. 93, 085005 (2016) is studied close to six dimensions, with an eye towards a possible realization of an interacting conformal field theory in five dimensions. We employ the two-loop $\\epsilon$-expansion, two-loop fixed-dimension renormalization group, and non-perturbative functional renormalization group. An interacting, real, infrared-stable fixed point is found near six dimensions, and the corresponding anomalous dimensions are computed to the second order in small parameter $\\epsilon=6-d$. Two-loop epsilon-expans","authors_text":"Dietrich Roscher, Igor F. Herbut","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-05-03T18:00:06Z","title":"Critical $O(2)$ field theory near six dimensions beyond one loop"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.01480","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":"sha256:2eb6b0da09743fd32b16ca0653b66f59bb2fffdf4f55a7b7797aede2d78045c0","target":"record","created_at":"2026-05-18T00:11:34Z","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":"a761506a337bce5a911367eb898fb242ec42608144c1e05a0c26c03c4caa196a","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-05-03T18:00:06Z","title_canon_sha256":"dac370c56e38474aebe8c1b48a8557b3b81408731de7d6d053595a8d084432c8"},"schema_version":"1.0","source":{"id":"1805.01480","kind":"arxiv","version":1}},"canonical_sha256":"15dd0cbfd894a132ea4f0b5a7ea8051b5dd51b39769f0a19ddd580621777068f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15dd0cbfd894a132ea4f0b5a7ea8051b5dd51b39769f0a19ddd580621777068f","first_computed_at":"2026-05-18T00:11:34.066645Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:11:34.066645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZYe00iv0v4wfLMhV9EjMTffj1E4ITlXQGjRb8eMgi5ucd3yTGMuy8bCp8/gUwNhB65omyQAN0YkC6Xx6PU/LCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:11:34.067267Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.01480","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2eb6b0da09743fd32b16ca0653b66f59bb2fffdf4f55a7b7797aede2d78045c0","sha256:f0ae18cc4bf5bd2d9563e3905d9a973091348aa506f9de98cd5a1b933562d710"],"state_sha256":"15eb61e099d53f4d5d79aa2de00c5b4bb612a88a28041e2d1a950bd75d532ad0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AuwHF9L+b6hzHb/12k0TjlmNPlu/da8qbz2X2fY/cFrdZzxAp+bHkLwAzPUSym63pAs3QostAtBtxQ+tPUgQAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T04:54:54.392744Z","bundle_sha256":"6c2e5b1351dcf22869bc0f7e491c5d5599897c56f48fffa9a83f42e71270b14a"}}