{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:OPGYTZ5OSJMCERJ4NMLVA7XONJ","short_pith_number":"pith:OPGYTZ5O","schema_version":"1.0","canonical_sha256":"73cd89e7ae925822453c6b17507eee6a709408fd16bdd8d0b152b5b1195a0eba","source":{"kind":"arxiv","id":"0904.1848","version":2},"attestation_state":"computed","paper":{"title":"Vortices as Instantons in Noncommutative Discrete Space: Use of $Z_{2}$ Coordinates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Hideharu Otsu, Hitoshi Ikemori, Shinsaku Kitakado, Toshiro Sato","submitted_at":"2009-04-12T08:54:29Z","abstract_excerpt":"We show that vortices of Yang-Mills-Higgs model in $R^{2}$ space can be regarded as instantons of Yang-Mills model in $R^{2}\\times Z_{2}$ space. For this, we construct the noncommutative $Z_{2}$ space by explicitly fixing the $Z_{2}$ coordinates and then show, by using the $Z_{2}$ coordinates, that BPS equation for the vortices can be considered as a self-dual equation. We also propose the possibility to rewrite the BPS equations for vortices as ADHM equations through the use of self-dual equation."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0904.1848","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-04-12T08:54:29Z","cross_cats_sorted":[],"title_canon_sha256":"5cf60dfd724aad3ff5d0f23d027d85fa9465469c8844e2332d791055494d0b2d","abstract_canon_sha256":"9718e8336729f1d642165b19931db68dfd28a6404a589c3bf12019081b16ea8a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:34:59.806292Z","signature_b64":"n2aoEi1SxAAELue6qRgtxX0J99ScXQW4uZbuAg8dOl7V84fHX1AtA0wKQQ22IiUDaha5DdxIIpf5P+X7IzyYDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73cd89e7ae925822453c6b17507eee6a709408fd16bdd8d0b152b5b1195a0eba","last_reissued_at":"2026-05-18T02:34:59.805910Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:34:59.805910Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Vortices as Instantons in Noncommutative Discrete Space: Use of $Z_{2}$ Coordinates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Hideharu Otsu, Hitoshi Ikemori, Shinsaku Kitakado, Toshiro Sato","submitted_at":"2009-04-12T08:54:29Z","abstract_excerpt":"We show that vortices of Yang-Mills-Higgs model in $R^{2}$ space can be regarded as instantons of Yang-Mills model in $R^{2}\\times Z_{2}$ space. For this, we construct the noncommutative $Z_{2}$ space by explicitly fixing the $Z_{2}$ coordinates and then show, by using the $Z_{2}$ coordinates, that BPS equation for the vortices can be considered as a self-dual equation. We also propose the possibility to rewrite the BPS equations for vortices as ADHM equations through the use of self-dual equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.1848","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"0904.1848","created_at":"2026-05-18T02:34:59.805975+00:00"},{"alias_kind":"arxiv_version","alias_value":"0904.1848v2","created_at":"2026-05-18T02:34:59.805975+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.1848","created_at":"2026-05-18T02:34:59.805975+00:00"},{"alias_kind":"pith_short_12","alias_value":"OPGYTZ5OSJMC","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_16","alias_value":"OPGYTZ5OSJMCERJ4","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_8","alias_value":"OPGYTZ5O","created_at":"2026-05-18T12:26:01.383474+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OPGYTZ5OSJMCERJ4NMLVA7XONJ","json":"https://pith.science/pith/OPGYTZ5OSJMCERJ4NMLVA7XONJ.json","graph_json":"https://pith.science/api/pith-number/OPGYTZ5OSJMCERJ4NMLVA7XONJ/graph.json","events_json":"https://pith.science/api/pith-number/OPGYTZ5OSJMCERJ4NMLVA7XONJ/events.json","paper":"https://pith.science/paper/OPGYTZ5O"},"agent_actions":{"view_html":"https://pith.science/pith/OPGYTZ5OSJMCERJ4NMLVA7XONJ","download_json":"https://pith.science/pith/OPGYTZ5OSJMCERJ4NMLVA7XONJ.json","view_paper":"https://pith.science/paper/OPGYTZ5O","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0904.1848&json=true","fetch_graph":"https://pith.science/api/pith-number/OPGYTZ5OSJMCERJ4NMLVA7XONJ/graph.json","fetch_events":"https://pith.science/api/pith-number/OPGYTZ5OSJMCERJ4NMLVA7XONJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OPGYTZ5OSJMCERJ4NMLVA7XONJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OPGYTZ5OSJMCERJ4NMLVA7XONJ/action/storage_attestation","attest_author":"https://pith.science/pith/OPGYTZ5OSJMCERJ4NMLVA7XONJ/action/author_attestation","sign_citation":"https://pith.science/pith/OPGYTZ5OSJMCERJ4NMLVA7XONJ/action/citation_signature","submit_replication":"https://pith.science/pith/OPGYTZ5OSJMCERJ4NMLVA7XONJ/action/replication_record"}},"created_at":"2026-05-18T02:34:59.805975+00:00","updated_at":"2026-05-18T02:34:59.805975+00:00"}