{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:KRUMQYKEWHTGYGRCGAQINONZAH","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":"0ce05f6626b720a0844d7be05295c09dc31daa0b429069da12beb22b4bfce2c3","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-06-11T18:29:46Z","title_canon_sha256":"4fcd1eaa4240c3bc1a4a741c2a036bb2caf4340e1a8748cf190f7ab906a37499"},"schema_version":"1.0","source":{"id":"1806.04172","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.04172","created_at":"2026-05-17T23:51:26Z"},{"alias_kind":"arxiv_version","alias_value":"1806.04172v3","created_at":"2026-05-17T23:51:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.04172","created_at":"2026-05-17T23:51:26Z"},{"alias_kind":"pith_short_12","alias_value":"KRUMQYKEWHTG","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KRUMQYKEWHTGYGRC","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KRUMQYKE","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:6548ff18e4735e6e15d41d35302c548dbf4dab801881d1c04715c4fda14c2373","target":"graph","created_at":"2026-05-17T23:51:26Z","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"},"paper":{"abstract_excerpt":"In this paper we recover the non-perturbative partition function of 2D~Yang-Mills theory from the perturbative path integral. To achieve this goal, we study the perturbative path integral quantization for 2D~Yang-Mills theory on surfaces with boundaries and corners in the Batalin-Vilkovisky formalism (or, more precisely, in its adaptation to the setting with boundaries, compatible with gluing and cutting -- the BV-BFV formalism). We prove that cutting a surface (e.g. a closed one) into simple enough pieces -- building blocks -- and choosing a convenient gauge-fixing on the pieces, and assembli","authors_text":"Pavel Mnev, Riccardo Iraso","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-06-11T18:29:46Z","title":"Two-Dimensional Yang-Mills Theory on Surfaces With Corners in Batalin-Vilkovisky Formalism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.04172","kind":"arxiv","version":3},"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":"sha256:0975bfb745635401d58b14211475a1168f18db40e10443e6653127c523727190","target":"record","created_at":"2026-05-17T23:51:26Z","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":"0ce05f6626b720a0844d7be05295c09dc31daa0b429069da12beb22b4bfce2c3","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-06-11T18:29:46Z","title_canon_sha256":"4fcd1eaa4240c3bc1a4a741c2a036bb2caf4340e1a8748cf190f7ab906a37499"},"schema_version":"1.0","source":{"id":"1806.04172","kind":"arxiv","version":3}},"canonical_sha256":"5468c86144b1e66c1a22302086b9b901f980f478e21841225e81930de07d4e90","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5468c86144b1e66c1a22302086b9b901f980f478e21841225e81930de07d4e90","first_computed_at":"2026-05-17T23:51:26.055557Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:26.055557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I+q8CK+jL3b6SydMfYmBvrZRcsm9TwndM7ZSnEcZZJl5KOYeQs0RTOQZd3qUUjGjw3dkGcs1MJEVkBuT6HkeAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:26.056166Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.04172","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0975bfb745635401d58b14211475a1168f18db40e10443e6653127c523727190","sha256:6548ff18e4735e6e15d41d35302c548dbf4dab801881d1c04715c4fda14c2373"],"state_sha256":"6e49bb2d4f5eb88a9c87f7aba856ddcf89a9e1c342d4bf264f4a11f0740a98e3"}