{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:335DXH4QMO6L4ZEAQ5CT6OUZPU","short_pith_number":"pith:335DXH4Q","schema_version":"1.0","canonical_sha256":"defa3b9f9063bcbe648087453f3a997d0e9cc43f14fe4d52385d6589cc037ed1","source":{"kind":"arxiv","id":"1708.00841","version":1},"attestation_state":"computed","paper":{"title":"Perturbative contributions to Wilson loops in twisted lattice boxes and reduced models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-lat","authors_text":"Antonio Gonz\\'alez-Arroyo, Margarita Garc\\'ia P\\'erez, Masanori Okawa","submitted_at":"2017-08-02T17:29:44Z","abstract_excerpt":"We compute the perturbative expression of Wilson loops up to order $g^4$ for SU($N$) lattice gauge theories with Wilson action on a finite box with twisted boundary conditions. Our formulas are valid for any dimension and any irreducible twist. They contain as a special case that of the 4-dimensional Twisted Eguchi-Kawai model for a symmetric twist with flux $k$. Our results allow us to analyze the finite volume corrections as a function of the flux. In particular, one can quantify the approach to volume independence at large $N$ as a function of flux $k$. The contribution of fermion fields in"},"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":"1708.00841","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2017-08-02T17:29:44Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"c625425e927abda6f37e6c56d8870381ea1975fdf2831dd2ee9f8ab32dfe248a","abstract_canon_sha256":"e3e2ecfe9abe73cd03eb4b65053d755dd5c044db9cd9ff830e9e089e0b86313b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:44.491692Z","signature_b64":"558skt6h5aCf9Se29mbvHxDffClFdAMGh4rEpECZeV0Z7dOtO5RYs61qtSJwKNFMWrTmQroWnzdXILkqM/i6Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"defa3b9f9063bcbe648087453f3a997d0e9cc43f14fe4d52385d6589cc037ed1","last_reissued_at":"2026-05-18T00:38:44.491177Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:44.491177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Perturbative contributions to Wilson loops in twisted lattice boxes and reduced models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-lat","authors_text":"Antonio Gonz\\'alez-Arroyo, Margarita Garc\\'ia P\\'erez, Masanori Okawa","submitted_at":"2017-08-02T17:29:44Z","abstract_excerpt":"We compute the perturbative expression of Wilson loops up to order $g^4$ for SU($N$) lattice gauge theories with Wilson action on a finite box with twisted boundary conditions. Our formulas are valid for any dimension and any irreducible twist. They contain as a special case that of the 4-dimensional Twisted Eguchi-Kawai model for a symmetric twist with flux $k$. Our results allow us to analyze the finite volume corrections as a function of the flux. In particular, one can quantify the approach to volume independence at large $N$ as a function of flux $k$. The contribution of fermion fields in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.00841","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":"1708.00841","created_at":"2026-05-18T00:38:44.491245+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.00841v1","created_at":"2026-05-18T00:38:44.491245+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.00841","created_at":"2026-05-18T00:38:44.491245+00:00"},{"alias_kind":"pith_short_12","alias_value":"335DXH4QMO6L","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_16","alias_value":"335DXH4QMO6L4ZEA","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_8","alias_value":"335DXH4Q","created_at":"2026-05-18T12:30:55.937587+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2511.07355","citing_title":"Scale setting of SU($N$) Yang--Mills theory, topology and large-$N$ volume independence","ref_index":55,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/335DXH4QMO6L4ZEAQ5CT6OUZPU","json":"https://pith.science/pith/335DXH4QMO6L4ZEAQ5CT6OUZPU.json","graph_json":"https://pith.science/api/pith-number/335DXH4QMO6L4ZEAQ5CT6OUZPU/graph.json","events_json":"https://pith.science/api/pith-number/335DXH4QMO6L4ZEAQ5CT6OUZPU/events.json","paper":"https://pith.science/paper/335DXH4Q"},"agent_actions":{"view_html":"https://pith.science/pith/335DXH4QMO6L4ZEAQ5CT6OUZPU","download_json":"https://pith.science/pith/335DXH4QMO6L4ZEAQ5CT6OUZPU.json","view_paper":"https://pith.science/paper/335DXH4Q","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.00841&json=true","fetch_graph":"https://pith.science/api/pith-number/335DXH4QMO6L4ZEAQ5CT6OUZPU/graph.json","fetch_events":"https://pith.science/api/pith-number/335DXH4QMO6L4ZEAQ5CT6OUZPU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/335DXH4QMO6L4ZEAQ5CT6OUZPU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/335DXH4QMO6L4ZEAQ5CT6OUZPU/action/storage_attestation","attest_author":"https://pith.science/pith/335DXH4QMO6L4ZEAQ5CT6OUZPU/action/author_attestation","sign_citation":"https://pith.science/pith/335DXH4QMO6L4ZEAQ5CT6OUZPU/action/citation_signature","submit_replication":"https://pith.science/pith/335DXH4QMO6L4ZEAQ5CT6OUZPU/action/replication_record"}},"created_at":"2026-05-18T00:38:44.491245+00:00","updated_at":"2026-05-18T00:38:44.491245+00:00"}