{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:QWWKHBN6RE2V3OZFYV3T3JHIES","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":"3ff9b0bdcea86c92536645fc56dd930ccd87015a717318b1fc4624d5903a3940","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-09-18T12:34:37Z","title_canon_sha256":"843eca93e5b9e80985d3ab7edff438a297576d33ff9816e8e79e80bb391c9fdf"},"schema_version":"1.0","source":{"id":"1009.3554","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.3554","created_at":"2026-05-18T04:34:01Z"},{"alias_kind":"arxiv_version","alias_value":"1009.3554v1","created_at":"2026-05-18T04:34:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.3554","created_at":"2026-05-18T04:34:01Z"},{"alias_kind":"pith_short_12","alias_value":"QWWKHBN6RE2V","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"QWWKHBN6RE2V3OZF","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"QWWKHBN6","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:484d90e7fd23aadd658bd05699e9e3710430ca136d4fc2d202519459613e2752","target":"graph","created_at":"2026-05-18T04:34:01Z","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 study muon pair production $ e^+ e^- \\to \\mu^+ \\mu^-$ in the noncommutative(NC) extension of the standard model using the Seiberg-Witten maps of this to the second order of the noncommutative parameter $\\Theta_{\\mu \\nu}$. Using $\\mathcal{O}(\\Theta^2)$ Feynman rules, we find the $\\mathcal{O}(\\Theta^4)$ cross section(with all other lower order contributions simply cancelled) for the pair production. The momentum dependent $\\mathcal{O}(\\Theta^2)$ NC interaction significantly modifies the cross section and angular distributions which are different from the commuting standard model. We study the","authors_text":"Abhishodh Prakash, Anupam Mitra, Prasanta Kumar Das","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-09-18T12:34:37Z","title":"$e^+ e^- \\to \\mu^+ \\mu^-$ scattering in the Noncommutative standard model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.3554","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:ae355924c8f9de38e23e7bbf5c26eef1e714521f3372e38e1556ea7cdcd24d83","target":"record","created_at":"2026-05-18T04:34:01Z","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":"3ff9b0bdcea86c92536645fc56dd930ccd87015a717318b1fc4624d5903a3940","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-09-18T12:34:37Z","title_canon_sha256":"843eca93e5b9e80985d3ab7edff438a297576d33ff9816e8e79e80bb391c9fdf"},"schema_version":"1.0","source":{"id":"1009.3554","kind":"arxiv","version":1}},"canonical_sha256":"85aca385be89355dbb25c5773da4e824ad0a4ca2403fb86691191c9fb58736dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"85aca385be89355dbb25c5773da4e824ad0a4ca2403fb86691191c9fb58736dc","first_computed_at":"2026-05-18T04:34:01.278846Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:34:01.278846Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eXFeL3UwbvQRvehuMlf8HQcy46bKVmJti3F5nSbaCZWmBdTjcC9sztO60E6wPNymyfnX2UgnFHA6ODrMWXcnCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:34:01.279255Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.3554","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae355924c8f9de38e23e7bbf5c26eef1e714521f3372e38e1556ea7cdcd24d83","sha256:484d90e7fd23aadd658bd05699e9e3710430ca136d4fc2d202519459613e2752"],"state_sha256":"105dcdd5064494c32c2e3e7fc9a2960bdeeb620066fcad51b39bfb0a400129ad"}