{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:IAKCDUJB7JYLHW6YUIDA224GHN","short_pith_number":"pith:IAKCDUJB","schema_version":"1.0","canonical_sha256":"401421d121fa70b3dbd8a2060d6b863b5eec1f94f9bd9b89daf523af69119478","source":{"kind":"arxiv","id":"1006.0422","version":2},"attestation_state":"computed","paper":{"title":"Step Scaling with off-shell renormalisation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"P. A. Boyle, R. Arthur","submitted_at":"2010-06-02T15:52:30Z","abstract_excerpt":"We make use of twisted boundary conditions for off-shell Rome-Southampton renormalisation. This allows to define the vertex function precisely, at a fixed physical momentum that need not be one of the Fourier modes of a simulation. This definition includes choosing the orientation with respect to lattice axes, and so lattice artefacts including ${\\cal O}(4)$ breaking then have a valid Symanzik expansion. Excellent statistical precision is afforded by volume plane-wave sources, enabling both a theoretically and statistically clean continuum limit to be taken. Thereafter all $p^2$ dependence can"},"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":"1006.0422","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2010-06-02T15:52:30Z","cross_cats_sorted":[],"title_canon_sha256":"8a5a92789def7040ab6408052cd168522de6dbb3ad6705beba13750bfd7f4872","abstract_canon_sha256":"aebd96b3b763589a41221f1565a6cd3780308298720736b70a76366663c55848"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:18:54.692301Z","signature_b64":"QUG/mgR0HUeqRFxx7vK7+giFuWZ517fDs2NcStZ2hNHoDbGwybOCJRO03zjlD2p6+lGStD+hZpaHPjc56h96AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"401421d121fa70b3dbd8a2060d6b863b5eec1f94f9bd9b89daf523af69119478","last_reissued_at":"2026-05-18T04:18:54.691883Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:18:54.691883Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Step Scaling with off-shell renormalisation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"P. A. Boyle, R. Arthur","submitted_at":"2010-06-02T15:52:30Z","abstract_excerpt":"We make use of twisted boundary conditions for off-shell Rome-Southampton renormalisation. This allows to define the vertex function precisely, at a fixed physical momentum that need not be one of the Fourier modes of a simulation. This definition includes choosing the orientation with respect to lattice axes, and so lattice artefacts including ${\\cal O}(4)$ breaking then have a valid Symanzik expansion. Excellent statistical precision is afforded by volume plane-wave sources, enabling both a theoretically and statistically clean continuum limit to be taken. Thereafter all $p^2$ dependence can"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.0422","kind":"arxiv","version":2},"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":"1006.0422","created_at":"2026-05-18T04:18:54.691942+00:00"},{"alias_kind":"arxiv_version","alias_value":"1006.0422v2","created_at":"2026-05-18T04:18:54.691942+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.0422","created_at":"2026-05-18T04:18:54.691942+00:00"},{"alias_kind":"pith_short_12","alias_value":"IAKCDUJB7JYL","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_16","alias_value":"IAKCDUJB7JYLHW6Y","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_8","alias_value":"IAKCDUJB","created_at":"2026-05-18T12:26:09.077623+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.18077","citing_title":"$\\Delta I =1/2$ process of $K\\to\\pi\\pi$ decay on multiple ensembles with periodic boundary conditions","ref_index":20,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IAKCDUJB7JYLHW6YUIDA224GHN","json":"https://pith.science/pith/IAKCDUJB7JYLHW6YUIDA224GHN.json","graph_json":"https://pith.science/api/pith-number/IAKCDUJB7JYLHW6YUIDA224GHN/graph.json","events_json":"https://pith.science/api/pith-number/IAKCDUJB7JYLHW6YUIDA224GHN/events.json","paper":"https://pith.science/paper/IAKCDUJB"},"agent_actions":{"view_html":"https://pith.science/pith/IAKCDUJB7JYLHW6YUIDA224GHN","download_json":"https://pith.science/pith/IAKCDUJB7JYLHW6YUIDA224GHN.json","view_paper":"https://pith.science/paper/IAKCDUJB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1006.0422&json=true","fetch_graph":"https://pith.science/api/pith-number/IAKCDUJB7JYLHW6YUIDA224GHN/graph.json","fetch_events":"https://pith.science/api/pith-number/IAKCDUJB7JYLHW6YUIDA224GHN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IAKCDUJB7JYLHW6YUIDA224GHN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IAKCDUJB7JYLHW6YUIDA224GHN/action/storage_attestation","attest_author":"https://pith.science/pith/IAKCDUJB7JYLHW6YUIDA224GHN/action/author_attestation","sign_citation":"https://pith.science/pith/IAKCDUJB7JYLHW6YUIDA224GHN/action/citation_signature","submit_replication":"https://pith.science/pith/IAKCDUJB7JYLHW6YUIDA224GHN/action/replication_record"}},"created_at":"2026-05-18T04:18:54.691942+00:00","updated_at":"2026-05-18T04:18:54.691942+00:00"}