{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:J7TGSJECELWIDVGGU23AU65OND","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":"6d547d19af10aeb95d3bc0db4a7a06df766d8b082d2b0605cf794a8d9e0ee7e9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-10-14T15:42:47Z","title_canon_sha256":"96a4c7e54cbf0d882dea6f5474cf9358f0349e3989fa7667367df024b4acdb3a"},"schema_version":"1.0","source":{"id":"0910.2653","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.2653","created_at":"2026-05-18T04:18:23Z"},{"alias_kind":"arxiv_version","alias_value":"0910.2653v1","created_at":"2026-05-18T04:18:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.2653","created_at":"2026-05-18T04:18:23Z"},{"alias_kind":"pith_short_12","alias_value":"J7TGSJECELWI","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"J7TGSJECELWIDVGG","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"J7TGSJEC","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:135113e405751cb30121ade31987d13ba3a9b1d411e479f95a79aeb1746c7550","target":"graph","created_at":"2026-05-18T04:18:23Z","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":"This proceeding gives an overview of the renormalization of $F^2_{\\mu\\nu}$ using the Faddeev-Popov action and the more complicate Gribov-Zwanziger action, which deals with Gribov copies. We show that using the Faddeev-Popov action, $F^2_{\\mu\\nu}$ mixes with other $d=4$ operators. However, due to the BRST invariance of the action, this mixing is not relevant at the level of the correlator, $\\Braket {F^2_{\\mu\\nu}(x) F^2_{\\alpha \\beta}(y)}$. In contrast, when turning to the Gribov-Zwanziger action, the mixing of $F^2_{\\mu\\nu}$ with other $d=4$ operator does have consequences at the level of the c","authors_text":"D. Dudal, H. Verschelde, N. Vandersickel, S.P. Sorella","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-10-14T15:42:47Z","title":"A candidate for the scalar glueball operator within the Gribov-Zwanziger framework"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.2653","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:c40d8f08acc01fd4038e32a5157821da51e248eb3b6f831c519ff54e89794875","target":"record","created_at":"2026-05-18T04:18:23Z","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":"6d547d19af10aeb95d3bc0db4a7a06df766d8b082d2b0605cf794a8d9e0ee7e9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-10-14T15:42:47Z","title_canon_sha256":"96a4c7e54cbf0d882dea6f5474cf9358f0349e3989fa7667367df024b4acdb3a"},"schema_version":"1.0","source":{"id":"0910.2653","kind":"arxiv","version":1}},"canonical_sha256":"4fe669248222ec81d4c6a6b60a7bae68c9be03542766ea20da04011443af056d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4fe669248222ec81d4c6a6b60a7bae68c9be03542766ea20da04011443af056d","first_computed_at":"2026-05-18T04:18:23.801117Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:23.801117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zxj8aq5yjiijDezv6BW2ETwvE/PWaj6BZKqJeoDI+Xgjqg/M1/M6ccJPdye+M2hGz3rp1kIjYCod5ILCDyBQCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:23.801583Z","signed_message":"canonical_sha256_bytes"},"source_id":"0910.2653","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c40d8f08acc01fd4038e32a5157821da51e248eb3b6f831c519ff54e89794875","sha256:135113e405751cb30121ade31987d13ba3a9b1d411e479f95a79aeb1746c7550"],"state_sha256":"0d47717eda04bfc096a5f29f001b1cb6204d60ce664511aa015738567209b5c2"}