{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:2ERCDQ6JJXKIOEBNFQT3ZULQES","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":"bc7b8f9d823d498de100c07353deac10bc0af8923d541afdb38271dc27ba9ec4","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-08-20T16:28:19Z","title_canon_sha256":"402eee2d5b8de792aab91651ee2677fc143e68cd529e6adc9546e225d5a865bd"},"schema_version":"1.0","source":{"id":"1908.07476","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.07476","created_at":"2026-07-05T00:04:43Z"},{"alias_kind":"arxiv_version","alias_value":"1908.07476v1","created_at":"2026-07-05T00:04:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.07476","created_at":"2026-07-05T00:04:43Z"},{"alias_kind":"pith_short_12","alias_value":"2ERCDQ6JJXKI","created_at":"2026-07-05T00:04:43Z"},{"alias_kind":"pith_short_16","alias_value":"2ERCDQ6JJXKIOEBN","created_at":"2026-07-05T00:04:43Z"},{"alias_kind":"pith_short_8","alias_value":"2ERCDQ6J","created_at":"2026-07-05T00:04:43Z"}],"graph_snapshots":[{"event_id":"sha256:fee9fd37348740e5db59747ec389dc49882c1fe74961c23a230c23c3b27581e7","target":"graph","created_at":"2026-07-05T00:04:43Z","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/1908.07476/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the $\\theta$ dependence of the continuum limit of 2d $U(N)$ gauge theories defined on compact manifolds, with special emphasis on spherical ($g=0$) and toroidal ($g=1$) topologies. We find that the coupling between $U(1)$ and $SU(N)$ degrees of freedom survives the continuum limit, leading to observable deviations of the continuum topological susceptibility from the $U(1)$ behavior, especially for $g=0$, in which case deviations remain even in the large $N$ limit.","authors_text":"Claudio Bonati, Paolo Rossi","cross_cats":["hep-lat"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-08-20T16:28:19Z","title":"Topological effects in continuum 2d $U(N)$ gauge theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.07476","kind":"arxiv","version":1},"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:ebf2331613536a79c442cfab855aa6293d8e1e508ea62ecbd75124173c9015bc","target":"record","created_at":"2026-07-05T00:04:43Z","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":"bc7b8f9d823d498de100c07353deac10bc0af8923d541afdb38271dc27ba9ec4","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-08-20T16:28:19Z","title_canon_sha256":"402eee2d5b8de792aab91651ee2677fc143e68cd529e6adc9546e225d5a865bd"},"schema_version":"1.0","source":{"id":"1908.07476","kind":"arxiv","version":1}},"canonical_sha256":"d12221c3c94dd487102d2c27bcd17024a25f6348be06fba19f83b958b5625e2d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d12221c3c94dd487102d2c27bcd17024a25f6348be06fba19f83b958b5625e2d","first_computed_at":"2026-07-05T00:04:43.995838Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:04:43.995838Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tethFxKDRVqg4arFn9JUY0JzPj7V3qkvVRHlGu48uWX/xISkIYJWU+s3x2yKzaGDyCeoOajXe/2QYEWD8BrKAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:04:43.996258Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.07476","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ebf2331613536a79c442cfab855aa6293d8e1e508ea62ecbd75124173c9015bc","sha256:fee9fd37348740e5db59747ec389dc49882c1fe74961c23a230c23c3b27581e7"],"state_sha256":"e4da837216d55741a3dfff6ac03d9bf3ce89a9f0cf4e33b61bb7975aa8a3c50a"}