{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FJ7F4UQXUSJ2FOXNC2EMFH4Z2O","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":"f543095cc291769ddb5286d863a67e04918e8ef3ff5282adc5b5fb737537053f","cross_cats_sorted":["hep-th","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-01-18T21:13:02Z","title_canon_sha256":"41b08cd50cbb74378e99b6817286349abfb15251ca1eaa0b37a63ff0e12996bf"},"schema_version":"1.0","source":{"id":"1601.04726","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.04726","created_at":"2026-05-18T00:22:49Z"},{"alias_kind":"arxiv_version","alias_value":"1601.04726v3","created_at":"2026-05-18T00:22:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04726","created_at":"2026-05-18T00:22:49Z"},{"alias_kind":"pith_short_12","alias_value":"FJ7F4UQXUSJ2","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FJ7F4UQXUSJ2FOXN","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FJ7F4UQX","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:44f6f9ba7ec2abe790d233d46d6aef718f0bceca127266f20781e4eff9505538","target":"graph","created_at":"2026-05-18T00:22:49Z","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":"We prove that Wilson loop expectation values for arbitrary simple closed contours obey an area law up to second order in perturbative two-dimensional Yang-Mills theory. Our analysis occurs within a general family of axial-like gauges, which include and interpolate between holomorphic gauge and the Wu-Mandelstam-Liebrandt light cone gauge. Our methods make use of the homotopy invariance properties of iterated integrals of closed one-forms, which allows us to evaluate the nontrivial integrals occurring at second order. We close with a discussion on complex gauge-fixing and deformation of integra","authors_text":"Timothy Nguyen","cross_cats":["hep-th","math.DG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-01-18T21:13:02Z","title":"Wilson Loop Area Law for 2D Yang-Mills in Generalized Axial Gauge"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04726","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":"sha256:877656b87c2ec878db08b206df827a966e48cd621eadc3c7d4bf5ea5f3a9f97a","target":"record","created_at":"2026-05-18T00:22:49Z","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":"f543095cc291769ddb5286d863a67e04918e8ef3ff5282adc5b5fb737537053f","cross_cats_sorted":["hep-th","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-01-18T21:13:02Z","title_canon_sha256":"41b08cd50cbb74378e99b6817286349abfb15251ca1eaa0b37a63ff0e12996bf"},"schema_version":"1.0","source":{"id":"1601.04726","kind":"arxiv","version":3}},"canonical_sha256":"2a7e5e5217a493a2baed1688c29f99d382f5d7dcd0bf083f046c17130354affa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a7e5e5217a493a2baed1688c29f99d382f5d7dcd0bf083f046c17130354affa","first_computed_at":"2026-05-18T00:22:49.456777Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:49.456777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"i9cUxRPwoZF9PubNHCnPITe2eIcjsF0NO9HXpsLPRKfrTQ35ELuc6p2upzGa4KzuvnQEkPDYrIZ46mBAvwgGBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:49.457240Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.04726","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:877656b87c2ec878db08b206df827a966e48cd621eadc3c7d4bf5ea5f3a9f97a","sha256:44f6f9ba7ec2abe790d233d46d6aef718f0bceca127266f20781e4eff9505538"],"state_sha256":"9769b3429b0416140cb8372487526a7de52b78465a963ca196eebdc034e87c66"}