{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:WDHXA6NRSN3INOSIWI5N4KO6NY","short_pith_number":"pith:WDHXA6NR","schema_version":"1.0","canonical_sha256":"b0cf7079b1937686ba48b23ade29de6e038aa89598e877cc481b05759a722a80","source":{"kind":"arxiv","id":"1311.2060","version":1},"attestation_state":"computed","paper":{"title":"Integral expression for a topological charge in the Faddeev-Niemi non-linear sigma model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Marcin Kisielowski","submitted_at":"2013-11-08T20:33:50Z","abstract_excerpt":"We have introduced Faddeev-Niemi type variables for static SU(3) Yang-Mills theory. The variables suggest that a non-linear sigma model whose sigma fields take values in SU(3)/(U(1)xU(1)) and SU(3)/(SU(2)xU(1)) may be relevant to infrared limit of the theory. Shabanov showed that the energy functional of the non-linear sigma model is bounded from below by certain functional. However, the Shabanov's functional is not homotopy invariant, and its value can be an arbitrary real number -- therefore it is not a topological charge. Since the third homotopy group of SU(3)/(U(1)xU(1)) is isomorphic to "},"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":"1311.2060","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-11-08T20:33:50Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"3c6a2c9e39aa2321214a68af711cf68aa9c507b940b8c4a8f4d68e9fe4017de5","abstract_canon_sha256":"ae5b72aa89edf73d5ca6a53ce1ae4c40a196d9ed9fe69a94bf4ea9fe83a1c0e4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:41.683163Z","signature_b64":"bpc/b1VTiuVyg7jhoKDE5NQDPSl20CYpIh/0lpp0P/4xFaeyVmR3cuqHl02eQ8b8jHbAOvO7JKMRhB/ZRCc8Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b0cf7079b1937686ba48b23ade29de6e038aa89598e877cc481b05759a722a80","last_reissued_at":"2026-05-18T03:07:41.682612Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:41.682612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Integral expression for a topological charge in the Faddeev-Niemi non-linear sigma model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Marcin Kisielowski","submitted_at":"2013-11-08T20:33:50Z","abstract_excerpt":"We have introduced Faddeev-Niemi type variables for static SU(3) Yang-Mills theory. The variables suggest that a non-linear sigma model whose sigma fields take values in SU(3)/(U(1)xU(1)) and SU(3)/(SU(2)xU(1)) may be relevant to infrared limit of the theory. Shabanov showed that the energy functional of the non-linear sigma model is bounded from below by certain functional. However, the Shabanov's functional is not homotopy invariant, and its value can be an arbitrary real number -- therefore it is not a topological charge. Since the third homotopy group of SU(3)/(U(1)xU(1)) is isomorphic to "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.2060","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":"1311.2060","created_at":"2026-05-18T03:07:41.682677+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.2060v1","created_at":"2026-05-18T03:07:41.682677+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.2060","created_at":"2026-05-18T03:07:41.682677+00:00"},{"alias_kind":"pith_short_12","alias_value":"WDHXA6NRSN3I","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_16","alias_value":"WDHXA6NRSN3INOSI","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_8","alias_value":"WDHXA6NR","created_at":"2026-05-18T12:28:04.890932+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/WDHXA6NRSN3INOSIWI5N4KO6NY","json":"https://pith.science/pith/WDHXA6NRSN3INOSIWI5N4KO6NY.json","graph_json":"https://pith.science/api/pith-number/WDHXA6NRSN3INOSIWI5N4KO6NY/graph.json","events_json":"https://pith.science/api/pith-number/WDHXA6NRSN3INOSIWI5N4KO6NY/events.json","paper":"https://pith.science/paper/WDHXA6NR"},"agent_actions":{"view_html":"https://pith.science/pith/WDHXA6NRSN3INOSIWI5N4KO6NY","download_json":"https://pith.science/pith/WDHXA6NRSN3INOSIWI5N4KO6NY.json","view_paper":"https://pith.science/paper/WDHXA6NR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.2060&json=true","fetch_graph":"https://pith.science/api/pith-number/WDHXA6NRSN3INOSIWI5N4KO6NY/graph.json","fetch_events":"https://pith.science/api/pith-number/WDHXA6NRSN3INOSIWI5N4KO6NY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WDHXA6NRSN3INOSIWI5N4KO6NY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WDHXA6NRSN3INOSIWI5N4KO6NY/action/storage_attestation","attest_author":"https://pith.science/pith/WDHXA6NRSN3INOSIWI5N4KO6NY/action/author_attestation","sign_citation":"https://pith.science/pith/WDHXA6NRSN3INOSIWI5N4KO6NY/action/citation_signature","submit_replication":"https://pith.science/pith/WDHXA6NRSN3INOSIWI5N4KO6NY/action/replication_record"}},"created_at":"2026-05-18T03:07:41.682677+00:00","updated_at":"2026-05-18T03:07:41.682677+00:00"}