{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:LVBVODVQW2XRUM6X72VFQA7WIQ","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":"e67169a2b0ee17498307615c0b1a3b8c267979ca93d0567dc773943caff4ad68","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-26T14:34:55Z","title_canon_sha256":"fc1109fecf2083694d7c080c6b212ee22d55cee6096e3830214c4cdc70fa80c4"},"schema_version":"1.0","source":{"id":"1006.5145","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.5145","created_at":"2026-05-18T04:12:55Z"},{"alias_kind":"arxiv_version","alias_value":"1006.5145v2","created_at":"2026-05-18T04:12:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.5145","created_at":"2026-05-18T04:12:55Z"},{"alias_kind":"pith_short_12","alias_value":"LVBVODVQW2XR","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"LVBVODVQW2XRUM6X","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"LVBVODVQ","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:40c781eab3e11afe8bd22a4ff94ae30f3021ebcf8fb481507e6df403665b1b9f","target":"graph","created_at":"2026-05-18T04:12:55Z","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":"In this paper we apply the Functional Renormalization Group Equation (FRGE) to the non-commutative scalar field theory proposed by Grosse and Wulkenhaar. We derive the flow equation in the matrix representation and discuss the theory space for the self-dual model. The features introduced by the external dimensionful scale provided by the non-commutativity parameter, originally pointed out in \\cite{Gurau:2009ni}, are discussed in the FRGE context. Using a technical assumption, but without resorting to any truncation, it is then shown that the theory is asymptotically safe for suitably small val","authors_text":"Alessandro Sfondrini, Tim A. Koslowski","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-26T14:34:55Z","title":"Functional Renormalization of Noncommutative Scalar Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.5145","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:cff61dd5a69d50c1d5b44327fc302695fa4ee91ad1b86a36064cfa12ffee351e","target":"record","created_at":"2026-05-18T04:12:55Z","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":"e67169a2b0ee17498307615c0b1a3b8c267979ca93d0567dc773943caff4ad68","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-26T14:34:55Z","title_canon_sha256":"fc1109fecf2083694d7c080c6b212ee22d55cee6096e3830214c4cdc70fa80c4"},"schema_version":"1.0","source":{"id":"1006.5145","kind":"arxiv","version":2}},"canonical_sha256":"5d43570eb0b6af1a33d7feaa5803f6441a8887976102086ba3ff14bd54e102e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d43570eb0b6af1a33d7feaa5803f6441a8887976102086ba3ff14bd54e102e1","first_computed_at":"2026-05-18T04:12:55.752331Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:55.752331Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OGfJsduOVdKCJIfJZY1nXLKxMacS4oySYLvjYoDxNRWT+6REk+nJxg/j2pAYGdH25fottYFj7ub1+8M/4BE8AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:55.752755Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.5145","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cff61dd5a69d50c1d5b44327fc302695fa4ee91ad1b86a36064cfa12ffee351e","sha256:40c781eab3e11afe8bd22a4ff94ae30f3021ebcf8fb481507e6df403665b1b9f"],"state_sha256":"38718a0d994362e5231f45991222b0a99fb1750afced912b0da7936e0850be9d"}