{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:WZG4IIZWDXJ7FVY47KCWJWMLFZ","short_pith_number":"pith:WZG4IIZW","schema_version":"1.0","canonical_sha256":"b64dc423361dd3f2d71cfa8564d98b2e673be3ba0662c6ffd6026460d8b44f34","source":{"kind":"arxiv","id":"hep-th/0206014","version":2},"attestation_state":"computed","paper":{"title":"Noncommuting Gauge Fields as a Lagrange Fluid","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A.P. Polychronakos, R. Jackiw, S.-Y. Pi","submitted_at":"2002-06-03T03:42:36Z","abstract_excerpt":"The Lagrange description of an ideal fluid gives rise in a natural way to a gauge potential and a Poisson structure that are classical precursors of analogous noncommuting entities. With this observation we are led to construct gauge-covariant coordinate transformations on a noncommuting space. Also we recognize the Seiberg-Witten map from noncommuting to commuting variables as the quantum correspondent of the Lagrange to Euler map in fluid mechanics."},"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":"hep-th/0206014","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-06-03T03:42:36Z","cross_cats_sorted":[],"title_canon_sha256":"29cc51b5d4598b2e27ecbb2391addaf2c160689f0bdbdd88379e9d4001b987e1","abstract_canon_sha256":"9af7e2098485fc7ba30b025e795b1847018eafdcb90e8c9f8f23eccb62c92cf2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:49.431147Z","signature_b64":"Qbx7SRDS1tU9jOe9nEMbJX1cbDxDWkJTKP8PaWnTp/Wz17wawrToH1Viilu5urMC9dv/38PsC3z/qRwxdBnuCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b64dc423361dd3f2d71cfa8564d98b2e673be3ba0662c6ffd6026460d8b44f34","last_reissued_at":"2026-05-18T01:38:49.430543Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:49.430543Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Noncommuting Gauge Fields as a Lagrange Fluid","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A.P. Polychronakos, R. Jackiw, S.-Y. Pi","submitted_at":"2002-06-03T03:42:36Z","abstract_excerpt":"The Lagrange description of an ideal fluid gives rise in a natural way to a gauge potential and a Poisson structure that are classical precursors of analogous noncommuting entities. With this observation we are led to construct gauge-covariant coordinate transformations on a noncommuting space. Also we recognize the Seiberg-Witten map from noncommuting to commuting variables as the quantum correspondent of the Lagrange to Euler map in fluid mechanics."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0206014","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":"hep-th/0206014","created_at":"2026-05-18T01:38:49.430627+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0206014v2","created_at":"2026-05-18T01:38:49.430627+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0206014","created_at":"2026-05-18T01:38:49.430627+00:00"},{"alias_kind":"pith_short_12","alias_value":"WZG4IIZWDXJ7","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_16","alias_value":"WZG4IIZWDXJ7FVY4","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_8","alias_value":"WZG4IIZW","created_at":"2026-05-18T12:25:51.375804+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/WZG4IIZWDXJ7FVY47KCWJWMLFZ","json":"https://pith.science/pith/WZG4IIZWDXJ7FVY47KCWJWMLFZ.json","graph_json":"https://pith.science/api/pith-number/WZG4IIZWDXJ7FVY47KCWJWMLFZ/graph.json","events_json":"https://pith.science/api/pith-number/WZG4IIZWDXJ7FVY47KCWJWMLFZ/events.json","paper":"https://pith.science/paper/WZG4IIZW"},"agent_actions":{"view_html":"https://pith.science/pith/WZG4IIZWDXJ7FVY47KCWJWMLFZ","download_json":"https://pith.science/pith/WZG4IIZWDXJ7FVY47KCWJWMLFZ.json","view_paper":"https://pith.science/paper/WZG4IIZW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0206014&json=true","fetch_graph":"https://pith.science/api/pith-number/WZG4IIZWDXJ7FVY47KCWJWMLFZ/graph.json","fetch_events":"https://pith.science/api/pith-number/WZG4IIZWDXJ7FVY47KCWJWMLFZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WZG4IIZWDXJ7FVY47KCWJWMLFZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WZG4IIZWDXJ7FVY47KCWJWMLFZ/action/storage_attestation","attest_author":"https://pith.science/pith/WZG4IIZWDXJ7FVY47KCWJWMLFZ/action/author_attestation","sign_citation":"https://pith.science/pith/WZG4IIZWDXJ7FVY47KCWJWMLFZ/action/citation_signature","submit_replication":"https://pith.science/pith/WZG4IIZWDXJ7FVY47KCWJWMLFZ/action/replication_record"}},"created_at":"2026-05-18T01:38:49.430627+00:00","updated_at":"2026-05-18T01:38:49.430627+00:00"}