{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:OLJDRE7FHACRNLGFNSYQYPCXOT","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":"241d4a92b5b71dc5d41faffd13dfc0291cdbf3c31d108db2fb98dd5b61ff4f5f","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2006-10-10T15:19:58Z","title_canon_sha256":"a3674d667433c23d9eac1761cca80a1ae3b6b69b37ebaedf533e958eac111aba"},"schema_version":"1.0","source":{"id":"hep-th/0610115","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0610115","created_at":"2026-05-18T04:38:26Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0610115v1","created_at":"2026-05-18T04:38:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0610115","created_at":"2026-05-18T04:38:26Z"},{"alias_kind":"pith_short_12","alias_value":"OLJDRE7FHACR","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"OLJDRE7FHACRNLGF","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"OLJDRE7F","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:333dd1048b063a11c531a51ebde8997a3ceb6a9b224f8bc8ba2e6182de4d6217","target":"graph","created_at":"2026-05-18T04:38:26Z","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":"For three conspicuous gauge groups, namely, SU(2), SU(3) and SO(5), and at first order in the noncommutative parameter matrix h\\theta^{\\mu\\nu}, we construct smooth monopole --and, some two-monopole-- fields that solve the noncommutative Yang-Mills-Higgs equations in the BPS limit and that are formal power series in h\\theta^{\\mu\\nu}. We show that there exist noncommutative BPS (multi-)monopole field configurations that are formal power series in h\\theta^{\\mu\\nu} if, and only if, two a priori free parameters of the Seiberg-Witten map take very specific values. These parameters, that are not asso","authors_text":"C.P. Martin, C. Tamarit (Universidad Complutense de Madrid)","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2006-10-10T15:19:58Z","title":"Monopoles, noncommutative gauge theories in the BPS limit and some simple gauge groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0610115","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:dfadf6da9acb7b313211359f66d4d9d89055926e72769d35e417faf14b3490af","target":"record","created_at":"2026-05-18T04:38:26Z","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":"241d4a92b5b71dc5d41faffd13dfc0291cdbf3c31d108db2fb98dd5b61ff4f5f","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2006-10-10T15:19:58Z","title_canon_sha256":"a3674d667433c23d9eac1761cca80a1ae3b6b69b37ebaedf533e958eac111aba"},"schema_version":"1.0","source":{"id":"hep-th/0610115","kind":"arxiv","version":1}},"canonical_sha256":"72d23893e5380516acc56cb10c3c5774c8d4d7c3f4eedcbd714115c405a721fd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"72d23893e5380516acc56cb10c3c5774c8d4d7c3f4eedcbd714115c405a721fd","first_computed_at":"2026-05-18T04:38:26.342820Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:26.342820Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vnR5PN+iE8cCmKuanuj4Egj7z5thi4husEuxEoB/DHW4GnTNbd/rAW2Xy9S++KFrlQBwUz42iKWpQqsWvuwYCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:26.343254Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0610115","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dfadf6da9acb7b313211359f66d4d9d89055926e72769d35e417faf14b3490af","sha256:333dd1048b063a11c531a51ebde8997a3ceb6a9b224f8bc8ba2e6182de4d6217"],"state_sha256":"079f7a8122f2d2cbcd75490c2914915abc7431dd0d1c4d383861096e7979877f"}