{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:TWVGFRKNVIKSCDDPZWPGISCUMR","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":"fdbd96f8569e59f9e7d1fd543f66ccb6f77c7b529940740d5fce973ba4b8a58d","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-07-13T07:51:26Z","title_canon_sha256":"838e7bfc68b6c9a01186e0bb8798a9b208f7569e0f02ea08dd4e9b1b3e4e3a78"},"schema_version":"1.0","source":{"id":"0907.2107","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.2107","created_at":"2026-05-18T02:13:03Z"},{"alias_kind":"arxiv_version","alias_value":"0907.2107v2","created_at":"2026-05-18T02:13:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.2107","created_at":"2026-05-18T02:13:03Z"},{"alias_kind":"pith_short_12","alias_value":"TWVGFRKNVIKS","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"TWVGFRKNVIKSCDDP","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"TWVGFRKN","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:6f4162eb0807e2a87e303a08652fc43cf235a0b45bcafc422b462f7ab4c511d5","target":"graph","created_at":"2026-05-18T02:13:03Z","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 demonstrate a striking effect of non-commutative (NC) geometry on topological properties of gauge theory by Monte Carlo simulations. We study 2d U(1) NC gauge theory for various boundary conditions using a new finite-matrix formulation proposed recently. We find that a single topological sector dictated by the boundary condition dominates in the continuum limit. This is in sharp contrast to the results in commutative space-time based on lattice gauge theory, where all topological sectors appear with certain weights in the continuum limit. We discuss possible implications of this effect in t","authors_text":"Hajime Aoki, Jun Nishimura, Yoshiaki Susaki","cross_cats":["hep-lat"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-07-13T07:51:26Z","title":"Dominance of a single topological sector in gauge theory on non-commutative geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.2107","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":"sha256:123046b93f7ce5eda4d8780753fe0da5dc10821f9b7c1ff33ce19bc08c1e2bb7","target":"record","created_at":"2026-05-18T02:13:03Z","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":"fdbd96f8569e59f9e7d1fd543f66ccb6f77c7b529940740d5fce973ba4b8a58d","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-07-13T07:51:26Z","title_canon_sha256":"838e7bfc68b6c9a01186e0bb8798a9b208f7569e0f02ea08dd4e9b1b3e4e3a78"},"schema_version":"1.0","source":{"id":"0907.2107","kind":"arxiv","version":2}},"canonical_sha256":"9daa62c54daa15210c6fcd9e64485464725710e68abb08adc3e599afc52e1954","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9daa62c54daa15210c6fcd9e64485464725710e68abb08adc3e599afc52e1954","first_computed_at":"2026-05-18T02:13:03.559644Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:13:03.559644Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xLuLOUaPS1sTldjfNF3cBvMQznVhY7PjK3glZWAqU0cEskBvEbyyrCHpiPjMdZo2TT2a80w/bHBOpO6WBIE2Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:13:03.560223Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.2107","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:123046b93f7ce5eda4d8780753fe0da5dc10821f9b7c1ff33ce19bc08c1e2bb7","sha256:6f4162eb0807e2a87e303a08652fc43cf235a0b45bcafc422b462f7ab4c511d5"],"state_sha256":"b0f570069be541581219972f2c5cb598d7c876cf51d45d0248b72b8a6a59b031"}