{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:QYLBF2EGS2HX7QPT6ZXT36VB4N","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":"0557b80e3cda033e33060c106b8d55f319ce30411f1408639f6d3211e8bf5571","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-18T21:35:14Z","title_canon_sha256":"5d1e2cdd9dc368486905cee3e4f5e8fdda2a0611d16025fe9ccd0f67a7ff748e"},"schema_version":"1.0","source":{"id":"1406.4896","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.4896","created_at":"2026-05-18T01:42:53Z"},{"alias_kind":"arxiv_version","alias_value":"1406.4896v2","created_at":"2026-05-18T01:42:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.4896","created_at":"2026-05-18T01:42:53Z"},{"alias_kind":"pith_short_12","alias_value":"QYLBF2EGS2HX","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"QYLBF2EGS2HX7QPT","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"QYLBF2EG","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:72136d9a88fd2e4ce0bb8778de008e278d5e8a898d87a4ab1eb7a9c300eec436","target":"graph","created_at":"2026-05-18T01:42:53Z","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 use a geometric generalization of the Seiberg-Witten map between noncommutative and commutative gauge theories to find the expansion of noncommutative Chern-Simons (CS) theory in any odd dimension $D$ and at first order in the noncommutativity parameter $\\theta$. This expansion extends the classical CS theory with higher powers of the curvatures and their derivatives.\n  A simple explanation of the equality between noncommutative and commutative CS actions in $D=1$ and $D=3$ is obtained. The $\\theta$ dependent terms are present for $D\\geq 5$ and give a higher derivative theory on commutative","authors_text":"Leonardo Castellani, Paolo Aschieri","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-18T21:35:14Z","title":"Noncommutative Chern-Simons gauge and gravity theories and their geometric Seiberg-Witten map"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.4896","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:f3b51e5fa4b09285a60693859e3fc0e6a747060b735d3427f9f2a4e34a1585d5","target":"record","created_at":"2026-05-18T01:42:53Z","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":"0557b80e3cda033e33060c106b8d55f319ce30411f1408639f6d3211e8bf5571","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-18T21:35:14Z","title_canon_sha256":"5d1e2cdd9dc368486905cee3e4f5e8fdda2a0611d16025fe9ccd0f67a7ff748e"},"schema_version":"1.0","source":{"id":"1406.4896","kind":"arxiv","version":2}},"canonical_sha256":"861612e886968f7fc1f3f66f3dfaa1e34cc32ed6ece4707491dbc4f0a3a13ec8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"861612e886968f7fc1f3f66f3dfaa1e34cc32ed6ece4707491dbc4f0a3a13ec8","first_computed_at":"2026-05-18T01:42:53.266942Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:42:53.266942Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O4iIHjBHY6ybFecql9MzZTSzyYUx6/RT7UvTlqJDHKvi0Up2F/4TPVdW5pobwiHFbTT7tu2uJfZrCnLfxNPLCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:42:53.267590Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.4896","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3b51e5fa4b09285a60693859e3fc0e6a747060b735d3427f9f2a4e34a1585d5","sha256:72136d9a88fd2e4ce0bb8778de008e278d5e8a898d87a4ab1eb7a9c300eec436"],"state_sha256":"6cdc8c79f059cdd2fffb589ccfe9fc8d3317845c545a9cfda199e49f7d860ec9"}