{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:X75VK6NOONFRVDAXW6HPAGR65S","short_pith_number":"pith:X75VK6NO","schema_version":"1.0","canonical_sha256":"bffb5579ae734b1a8c17b78ef01a3eec9bc888f7518d186e8613c97112213a68","source":{"kind":"arxiv","id":"1508.05552","version":1},"attestation_state":"computed","paper":{"title":"Symanzik improvement of the gradient flow in lattice gauge theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"A. Ramos, S. Sint","submitted_at":"2015-08-23T00:50:28Z","abstract_excerpt":"We apply the Symanzik improvement programme to the 4+1-dimensional local re-formulation of the gradient flow in pure $SU(N)$ lattice gauge theories. We show that the classical nature of the flow equation allows to eliminate all cutoff effects at $\\mathcal O(a^2)$ which originate either from the discretized gradient flow equation or from the gradient flow observable. All the remaining $\\mathcal O(a^2)$ effects can be understood in terms of local counterterms at the zero flow time boundary. We classify these counterterms and provide a complete set as required for on-shell improvement. Compared t"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1508.05552","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-08-23T00:50:28Z","cross_cats_sorted":[],"title_canon_sha256":"a40eeaeac21fb104efc8de8e0b69b9d1994473dc7735b5ae5ffa53d66338364a","abstract_canon_sha256":"771b36e3d4777bf34efaec5d50cd1f3b824b046ca9e753a49b5946c5abab1cf3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:45.361565Z","signature_b64":"a53CpkWivwL/ofs2aViXCkJA+d8gFJmpQUAbqXN0epZCuIpakadRdbMgJpb8nKfdk1/vNouCX6loP8F/0t+jBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bffb5579ae734b1a8c17b78ef01a3eec9bc888f7518d186e8613c97112213a68","last_reissued_at":"2026-05-18T01:20:45.360858Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:45.360858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symanzik improvement of the gradient flow in lattice gauge theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"A. Ramos, S. Sint","submitted_at":"2015-08-23T00:50:28Z","abstract_excerpt":"We apply the Symanzik improvement programme to the 4+1-dimensional local re-formulation of the gradient flow in pure $SU(N)$ lattice gauge theories. We show that the classical nature of the flow equation allows to eliminate all cutoff effects at $\\mathcal O(a^2)$ which originate either from the discretized gradient flow equation or from the gradient flow observable. All the remaining $\\mathcal O(a^2)$ effects can be understood in terms of local counterterms at the zero flow time boundary. We classify these counterterms and provide a complete set as required for on-shell improvement. Compared t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.05552","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1508.05552","created_at":"2026-05-18T01:20:45.360978+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.05552v1","created_at":"2026-05-18T01:20:45.360978+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.05552","created_at":"2026-05-18T01:20:45.360978+00:00"},{"alias_kind":"pith_short_12","alias_value":"X75VK6NOONFR","created_at":"2026-05-18T12:29:50.041715+00:00"},{"alias_kind":"pith_short_16","alias_value":"X75VK6NOONFRVDAX","created_at":"2026-05-18T12:29:50.041715+00:00"},{"alias_kind":"pith_short_8","alias_value":"X75VK6NO","created_at":"2026-05-18T12:29:50.041715+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":4,"sample":[{"citing_arxiv_id":"2606.17236","citing_title":"Precision renormalisation and improvement of $N_{\\rm f}=3$ lattice QCD with Wilson fermions","ref_index":22,"is_internal_anchor":true},{"citing_arxiv_id":"2606.28543","citing_title":"Highly improved staggered quarks on anisotropic lattices","ref_index":65,"is_internal_anchor":true},{"citing_arxiv_id":"2511.07355","citing_title":"Scale setting of SU($N$) Yang--Mills theory, topology and large-$N$ volume independence","ref_index":54,"is_internal_anchor":true},{"citing_arxiv_id":"2601.14967","citing_title":"Shear and bulk viscosities of the gluon plasma across the transition temperature from lattice QCD","ref_index":60,"is_internal_anchor":true},{"citing_arxiv_id":"2604.12416","citing_title":"Machine learning for four-dimensional SU(3) lattice gauge theories","ref_index":52,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/X75VK6NOONFRVDAXW6HPAGR65S","json":"https://pith.science/pith/X75VK6NOONFRVDAXW6HPAGR65S.json","graph_json":"https://pith.science/api/pith-number/X75VK6NOONFRVDAXW6HPAGR65S/graph.json","events_json":"https://pith.science/api/pith-number/X75VK6NOONFRVDAXW6HPAGR65S/events.json","paper":"https://pith.science/paper/X75VK6NO"},"agent_actions":{"view_html":"https://pith.science/pith/X75VK6NOONFRVDAXW6HPAGR65S","download_json":"https://pith.science/pith/X75VK6NOONFRVDAXW6HPAGR65S.json","view_paper":"https://pith.science/paper/X75VK6NO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.05552&json=true","fetch_graph":"https://pith.science/api/pith-number/X75VK6NOONFRVDAXW6HPAGR65S/graph.json","fetch_events":"https://pith.science/api/pith-number/X75VK6NOONFRVDAXW6HPAGR65S/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X75VK6NOONFRVDAXW6HPAGR65S/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X75VK6NOONFRVDAXW6HPAGR65S/action/storage_attestation","attest_author":"https://pith.science/pith/X75VK6NOONFRVDAXW6HPAGR65S/action/author_attestation","sign_citation":"https://pith.science/pith/X75VK6NOONFRVDAXW6HPAGR65S/action/citation_signature","submit_replication":"https://pith.science/pith/X75VK6NOONFRVDAXW6HPAGR65S/action/replication_record"}},"created_at":"2026-05-18T01:20:45.360978+00:00","updated_at":"2026-05-18T01:20:45.360978+00:00"}