{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:RIXLFMW7YEW4WVTTZM4ECONRGE","short_pith_number":"pith:RIXLFMW7","schema_version":"1.0","canonical_sha256":"8a2eb2b2dfc12dcb5673cb384139b13101d9035fafb7b9c6fdd8a9c9da541422","source":{"kind":"arxiv","id":"2404.16925","version":4},"attestation_state":"computed","paper":{"title":"Bootstrap for Finite N Lattice Yang-Mills Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-th","authors_text":"Vladimir Kazakov, Zechuan Zheng","submitted_at":"2024-04-25T18:00:00Z","abstract_excerpt":"We introduce a comprehensive framework for analyzing finite $N$ lattice Yang-Mills theory and finite $N$ matrix models. Utilizing this framework, we examine the bootstrap approach to SU(2) Lattice Yang-Mills Theory in 2,3 and 4 dimensions. The SU(2) Makeenko-Migdal loop equations on the lattice are linear and closed exclusively on single-trace Wilson loops. This inherent linearity significantly enhances the efficiency of the bootstrap approach due to the convex nature of the problem, permitting the inclusion of Wilson loops up to length 24. The exact upper and lower margins for the free energy"},"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":"2404.16925","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-04-25T18:00:00Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"98b7727cbfb8011c622fd2682429427254bd98b37a41d0b25275b05d9fc67e11","abstract_canon_sha256":"384be3e66c7b88cae61c2b7d128b0d86941ab8fab797dff8822576aceba0ef8e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:44:08.968756Z","signature_b64":"wgZ9KxADLngqK7rU3I0rMR7R7SfnR5bKHhUifjzopUD7hE/KtcolH+yfW1oWS9iH4/rLuPQEqxlQeOHqS0CwDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a2eb2b2dfc12dcb5673cb384139b13101d9035fafb7b9c6fdd8a9c9da541422","last_reissued_at":"2026-07-05T09:44:08.968245Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:44:08.968245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bootstrap for Finite N Lattice Yang-Mills Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-th","authors_text":"Vladimir Kazakov, Zechuan Zheng","submitted_at":"2024-04-25T18:00:00Z","abstract_excerpt":"We introduce a comprehensive framework for analyzing finite $N$ lattice Yang-Mills theory and finite $N$ matrix models. Utilizing this framework, we examine the bootstrap approach to SU(2) Lattice Yang-Mills Theory in 2,3 and 4 dimensions. The SU(2) Makeenko-Migdal loop equations on the lattice are linear and closed exclusively on single-trace Wilson loops. This inherent linearity significantly enhances the efficiency of the bootstrap approach due to the convex nature of the problem, permitting the inclusion of Wilson loops up to length 24. The exact upper and lower margins for the free energy"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.16925","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2404.16925/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2404.16925","created_at":"2026-07-05T09:44:08.968306+00:00"},{"alias_kind":"arxiv_version","alias_value":"2404.16925v4","created_at":"2026-07-05T09:44:08.968306+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.16925","created_at":"2026-07-05T09:44:08.968306+00:00"},{"alias_kind":"pith_short_12","alias_value":"RIXLFMW7YEW4","created_at":"2026-07-05T09:44:08.968306+00:00"},{"alias_kind":"pith_short_16","alias_value":"RIXLFMW7YEW4WVTT","created_at":"2026-07-05T09:44:08.968306+00:00"},{"alias_kind":"pith_short_8","alias_value":"RIXLFMW7","created_at":"2026-07-05T09:44:08.968306+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.24859","citing_title":"Additional constraints for the tensor bootstrap","ref_index":81,"is_internal_anchor":false},{"citing_arxiv_id":"2605.30536","citing_title":"Ambiguity problem of the Bootstrap Method in Quantum Mechanics","ref_index":54,"is_internal_anchor":false},{"citing_arxiv_id":"2511.08560","citing_title":"Bootstrapping Euclidean Two-point Correlators","ref_index":11,"is_internal_anchor":false},{"citing_arxiv_id":"2603.17364","citing_title":"Finite-$N$ Bootstrap Constraints in Matrix and Tensor Models","ref_index":44,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RIXLFMW7YEW4WVTTZM4ECONRGE","json":"https://pith.science/pith/RIXLFMW7YEW4WVTTZM4ECONRGE.json","graph_json":"https://pith.science/api/pith-number/RIXLFMW7YEW4WVTTZM4ECONRGE/graph.json","events_json":"https://pith.science/api/pith-number/RIXLFMW7YEW4WVTTZM4ECONRGE/events.json","paper":"https://pith.science/paper/RIXLFMW7"},"agent_actions":{"view_html":"https://pith.science/pith/RIXLFMW7YEW4WVTTZM4ECONRGE","download_json":"https://pith.science/pith/RIXLFMW7YEW4WVTTZM4ECONRGE.json","view_paper":"https://pith.science/paper/RIXLFMW7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2404.16925&json=true","fetch_graph":"https://pith.science/api/pith-number/RIXLFMW7YEW4WVTTZM4ECONRGE/graph.json","fetch_events":"https://pith.science/api/pith-number/RIXLFMW7YEW4WVTTZM4ECONRGE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RIXLFMW7YEW4WVTTZM4ECONRGE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RIXLFMW7YEW4WVTTZM4ECONRGE/action/storage_attestation","attest_author":"https://pith.science/pith/RIXLFMW7YEW4WVTTZM4ECONRGE/action/author_attestation","sign_citation":"https://pith.science/pith/RIXLFMW7YEW4WVTTZM4ECONRGE/action/citation_signature","submit_replication":"https://pith.science/pith/RIXLFMW7YEW4WVTTZM4ECONRGE/action/replication_record"}},"created_at":"2026-07-05T09:44:08.968306+00:00","updated_at":"2026-07-05T09:44:08.968306+00:00"}