{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:56L5K7GRLOZ5THZ6EZWGZXSDGG","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":"6ad385b047acffdde69e104af09dd7f4513e0c581c73c439da049a83d55f24c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-09-25T20:04:48Z","title_canon_sha256":"39b2e1151804fbb189208c4876725df233790aa16aad728475b76911e9c9c525"},"schema_version":"1.0","source":{"id":"1509.07874","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.07874","created_at":"2026-05-18T01:25:31Z"},{"alias_kind":"arxiv_version","alias_value":"1509.07874v2","created_at":"2026-05-18T01:25:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.07874","created_at":"2026-05-18T01:25:31Z"},{"alias_kind":"pith_short_12","alias_value":"56L5K7GRLOZ5","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"56L5K7GRLOZ5THZ6","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"56L5K7GR","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:f77f92255734ba2d7a5e773d044062b2a7ce921db746a09b73f85fb488ccf0aa","target":"graph","created_at":"2026-05-18T01:25:31Z","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 the gradient flow for the renormalization of the Polyakov loop in various representations. Using 2+1 flavor QCD with highly improved staggered quarks and lattices with temporal extents of $N_\\tau=6$, $8$, $10$ and $12$ we calculate the renormalized Polyakov loop in many representations including fundamental, sextet, adjoint, decuplet, 15-plet, 24-plet and 27-plet. This approach allows for the calculations of the renormalized Polyakov loops over a large temperature range from $T=116$ MeV up to $T=815$ MeV, with small errors not only for the Polyakov loop in fundamental representation, bu","authors_text":"H.-P. Schadler, P. Petreczky","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-09-25T20:04:48Z","title":"Renormalization of the Polyakov loop with gradient flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.07874","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":"sha256:831c85e7b556d05af24a1d896593c6682f5572cae4c97ec2baebffe095b68d25","target":"record","created_at":"2026-05-18T01:25:31Z","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":"6ad385b047acffdde69e104af09dd7f4513e0c581c73c439da049a83d55f24c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-09-25T20:04:48Z","title_canon_sha256":"39b2e1151804fbb189208c4876725df233790aa16aad728475b76911e9c9c525"},"schema_version":"1.0","source":{"id":"1509.07874","kind":"arxiv","version":2}},"canonical_sha256":"ef97d57cd15bb3d99f3e266c6cde433185c5fa80949fae03bcf52fa32cc757a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ef97d57cd15bb3d99f3e266c6cde433185c5fa80949fae03bcf52fa32cc757a6","first_computed_at":"2026-05-18T01:25:31.291108Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:31.291108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DPvxVhFX72x2r+WloUnXIMCETxdIdekr5ovhWpjn1oFrLGti7QsTPvLumP3NPxZLBTGRJcaFuP1nrfLOHJtyAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:31.291603Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.07874","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:831c85e7b556d05af24a1d896593c6682f5572cae4c97ec2baebffe095b68d25","sha256:f77f92255734ba2d7a5e773d044062b2a7ce921db746a09b73f85fb488ccf0aa"],"state_sha256":"fe7a6e0b05d4313ee80ac632503b5d19bd75c45a9a748032cfcb3c2f4c6ec1b9"}