{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:5P7DR4QQODBH4AXCULMY7GM3LC","short_pith_number":"pith:5P7DR4QQ","schema_version":"1.0","canonical_sha256":"ebfe38f21070c27e02e2a2d98f999b589a21e51b7c4159c98398c845824c902e","source":{"kind":"arxiv","id":"0812.1493","version":1},"attestation_state":"computed","paper":{"title":"Supercurrent coupling in the Faddeev-Skyrme model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DG","math.MP"],"primary_cat":"hep-th","authors_text":"J.M. Speight","submitted_at":"2008-12-08T14:32:47Z","abstract_excerpt":"Motivated by the sigma model limit of multicomponent Ginzburg-Landau theory, a version of the Faddeev-Skyrme model is considered in which the scalar field is coupled dynamically to a one-form field called the supercurrent. This coupled model is investigated in the general setting where physical space is an oriented Riemannian manifold and the target space is a Kaehler manifold. It is shown that supercurrent coupling destroys the topological stability enjoyed by the usual Faddeev-Skyrme model, so that there can be no globally stable knot solitons in this model. Nonetheless, local energy minimiz"},"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":"0812.1493","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-12-08T14:32:47Z","cross_cats_sorted":["math-ph","math.DG","math.MP"],"title_canon_sha256":"f4fd5630b233e998ae92f7117e3bc2ced7bbcac100c9cfbb1201616fd146634b","abstract_canon_sha256":"32864d3b53312000cb132b897f19285c555d6837f533dd6ef829fd4853e4b761"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:11.423627Z","signature_b64":"xqFpQhzlxw5Ba+Ek4gXOtJ0I/vlJmLdHbwER+8qmVcP3UBjxtfS5bdRLLvLs1WzsQm2VgC8+4b0CM8lCyjrlBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ebfe38f21070c27e02e2a2d98f999b589a21e51b7c4159c98398c845824c902e","last_reissued_at":"2026-05-18T02:15:11.423000Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:11.423000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Supercurrent coupling in the Faddeev-Skyrme model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DG","math.MP"],"primary_cat":"hep-th","authors_text":"J.M. Speight","submitted_at":"2008-12-08T14:32:47Z","abstract_excerpt":"Motivated by the sigma model limit of multicomponent Ginzburg-Landau theory, a version of the Faddeev-Skyrme model is considered in which the scalar field is coupled dynamically to a one-form field called the supercurrent. This coupled model is investigated in the general setting where physical space is an oriented Riemannian manifold and the target space is a Kaehler manifold. It is shown that supercurrent coupling destroys the topological stability enjoyed by the usual Faddeev-Skyrme model, so that there can be no globally stable knot solitons in this model. Nonetheless, local energy minimiz"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.1493","kind":"arxiv","version":1},"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":"0812.1493","created_at":"2026-05-18T02:15:11.423121+00:00"},{"alias_kind":"arxiv_version","alias_value":"0812.1493v1","created_at":"2026-05-18T02:15:11.423121+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.1493","created_at":"2026-05-18T02:15:11.423121+00:00"},{"alias_kind":"pith_short_12","alias_value":"5P7DR4QQODBH","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"5P7DR4QQODBH4AXC","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"5P7DR4QQ","created_at":"2026-05-18T12:25:56.245647+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/5P7DR4QQODBH4AXCULMY7GM3LC","json":"https://pith.science/pith/5P7DR4QQODBH4AXCULMY7GM3LC.json","graph_json":"https://pith.science/api/pith-number/5P7DR4QQODBH4AXCULMY7GM3LC/graph.json","events_json":"https://pith.science/api/pith-number/5P7DR4QQODBH4AXCULMY7GM3LC/events.json","paper":"https://pith.science/paper/5P7DR4QQ"},"agent_actions":{"view_html":"https://pith.science/pith/5P7DR4QQODBH4AXCULMY7GM3LC","download_json":"https://pith.science/pith/5P7DR4QQODBH4AXCULMY7GM3LC.json","view_paper":"https://pith.science/paper/5P7DR4QQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0812.1493&json=true","fetch_graph":"https://pith.science/api/pith-number/5P7DR4QQODBH4AXCULMY7GM3LC/graph.json","fetch_events":"https://pith.science/api/pith-number/5P7DR4QQODBH4AXCULMY7GM3LC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5P7DR4QQODBH4AXCULMY7GM3LC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5P7DR4QQODBH4AXCULMY7GM3LC/action/storage_attestation","attest_author":"https://pith.science/pith/5P7DR4QQODBH4AXCULMY7GM3LC/action/author_attestation","sign_citation":"https://pith.science/pith/5P7DR4QQODBH4AXCULMY7GM3LC/action/citation_signature","submit_replication":"https://pith.science/pith/5P7DR4QQODBH4AXCULMY7GM3LC/action/replication_record"}},"created_at":"2026-05-18T02:15:11.423121+00:00","updated_at":"2026-05-18T02:15:11.423121+00:00"}