{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:ABJAAVPED4BPFKNHJR5OCJE5QA","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":"0c4f07978522cc35aecbe44690c7bf522f32380ec7eb531710aa62ff358ffd8a","cross_cats_sorted":["math.MP","math.PR"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math-ph","submitted_at":"2024-12-19T22:12:38Z","title_canon_sha256":"bf72eba0bcc1ebb6e48d97d21ce03aee2d778a65adfce9036d95930f4ecc5be9"},"schema_version":"1.0","source":{"id":"2412.15422","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.15422","created_at":"2026-07-05T09:56:57Z"},{"alias_kind":"arxiv_version","alias_value":"2412.15422v2","created_at":"2026-07-05T09:56:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.15422","created_at":"2026-07-05T09:56:57Z"},{"alias_kind":"pith_short_12","alias_value":"ABJAAVPED4BP","created_at":"2026-07-05T09:56:57Z"},{"alias_kind":"pith_short_16","alias_value":"ABJAAVPED4BPFKNH","created_at":"2026-07-05T09:56:57Z"},{"alias_kind":"pith_short_8","alias_value":"ABJAAVPE","created_at":"2026-07-05T09:56:57Z"}],"graph_snapshots":[{"event_id":"sha256:24cc273a43a5d6d2c42da74fd26cb0cc22075b1148b8387b09af8a17254f7a03","target":"graph","created_at":"2026-07-05T09:56:57Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2412.15422/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we prove the convergence of the discrete Makeenko-Migdal equations for the Yang-Mills model on $(\\varepsilon \\mathbf{Z})^{2}$ to their continuum counterparts on the plane, in an appropriate sense. The key step in the proof is identifying the limits of the contributions from deformations as the area derivatives of the Wilson loop expectations.","authors_text":"Hao Shen, Rongchan Zhu, Scott A. Smith","cross_cats":["math.MP","math.PR"],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math-ph","submitted_at":"2024-12-19T22:12:38Z","title":"Makeenko-Migdal equations for 2D Yang-Mills: from lattice to continuum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.15422","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:f01ff15b6acee5d3429f669aefcbb4f26b232595b3c585afa644677b65cdf4a2","target":"record","created_at":"2026-07-05T09:56:57Z","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":"0c4f07978522cc35aecbe44690c7bf522f32380ec7eb531710aa62ff358ffd8a","cross_cats_sorted":["math.MP","math.PR"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math-ph","submitted_at":"2024-12-19T22:12:38Z","title_canon_sha256":"bf72eba0bcc1ebb6e48d97d21ce03aee2d778a65adfce9036d95930f4ecc5be9"},"schema_version":"1.0","source":{"id":"2412.15422","kind":"arxiv","version":2}},"canonical_sha256":"00520055e41f02f2a9a74c7ae1249d8013604533dcdbd180b5e34652babb56ea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00520055e41f02f2a9a74c7ae1249d8013604533dcdbd180b5e34652babb56ea","first_computed_at":"2026-07-05T09:56:57.904887Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:56:57.904887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KxODBM8LYrPe0oMq/rkmGB/kivaa384XDGAT5Q20hSu8o0IF3nhwEXE7zxWGMlj/aK3yX2xy41fco205e6GdCw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:56:57.905332Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.15422","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f01ff15b6acee5d3429f669aefcbb4f26b232595b3c585afa644677b65cdf4a2","sha256:24cc273a43a5d6d2c42da74fd26cb0cc22075b1148b8387b09af8a17254f7a03"],"state_sha256":"0faa77e374460b5d55273fa63dc026fee4fc78b7515c91e24dd2f8aeced674ca"}