{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:YM6C54D3DBCLUGM2KU6Q2V6JSJ","short_pith_number":"pith:YM6C54D3","schema_version":"1.0","canonical_sha256":"c33c2ef07b1844ba199a553d0d57c992669b2838231068932dd7ac6615010fe4","source":{"kind":"arxiv","id":"1611.01984","version":1},"attestation_state":"computed","paper":{"title":"Compactness results for static and dynamic chiral skyrmions near the conformal limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Christof Melcher, Lukas D\\\"oring","submitted_at":"2016-11-07T10:58:23Z","abstract_excerpt":"We examine lower order perturbations of the harmonic map prob- lem from $\\mathbb{R}^2$ to $\\mathbb{S}^2$ including chiral interaction in form of a helicity term that prefers modulation, and a potential term that enables decay to a uniform background state. Energy functionals of this type arise in the context of magnetic systems without inversion symmetry. In the almost conformal regime, where these perturbations are weighted with a small parameter, we examine the existence of relative minimizers in a non-trivial homotopy class, so-called chiral skyrmions, strong compactness of almost minimizer"},"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":"1611.01984","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-11-07T10:58:23Z","cross_cats_sorted":[],"title_canon_sha256":"14ea8ededcd57140baa01327d908eafef5d50fe4e6663a5514c98844c25c1cf1","abstract_canon_sha256":"b71c54daebf8684cf7fc1fad56362b92faad32297e81e9cf49d2b345ac5cfc43"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:04.040837Z","signature_b64":"bjxB09fecRIzHEvSGB4J52+zMZWVjhrdhqiFGXCA3NCut/6nSJAo/klfLKOBBdgai5qRBtvtd2b3uyZH2suiAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c33c2ef07b1844ba199a553d0d57c992669b2838231068932dd7ac6615010fe4","last_reissued_at":"2026-05-18T01:00:04.040330Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:04.040330Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Compactness results for static and dynamic chiral skyrmions near the conformal limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Christof Melcher, Lukas D\\\"oring","submitted_at":"2016-11-07T10:58:23Z","abstract_excerpt":"We examine lower order perturbations of the harmonic map prob- lem from $\\mathbb{R}^2$ to $\\mathbb{S}^2$ including chiral interaction in form of a helicity term that prefers modulation, and a potential term that enables decay to a uniform background state. Energy functionals of this type arise in the context of magnetic systems without inversion symmetry. In the almost conformal regime, where these perturbations are weighted with a small parameter, we examine the existence of relative minimizers in a non-trivial homotopy class, so-called chiral skyrmions, strong compactness of almost minimizer"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.01984","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":"1611.01984","created_at":"2026-05-18T01:00:04.040404+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.01984v1","created_at":"2026-05-18T01:00:04.040404+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.01984","created_at":"2026-05-18T01:00:04.040404+00:00"},{"alias_kind":"pith_short_12","alias_value":"YM6C54D3DBCL","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_16","alias_value":"YM6C54D3DBCLUGM2","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_8","alias_value":"YM6C54D3","created_at":"2026-05-18T12:30:53.716459+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/YM6C54D3DBCLUGM2KU6Q2V6JSJ","json":"https://pith.science/pith/YM6C54D3DBCLUGM2KU6Q2V6JSJ.json","graph_json":"https://pith.science/api/pith-number/YM6C54D3DBCLUGM2KU6Q2V6JSJ/graph.json","events_json":"https://pith.science/api/pith-number/YM6C54D3DBCLUGM2KU6Q2V6JSJ/events.json","paper":"https://pith.science/paper/YM6C54D3"},"agent_actions":{"view_html":"https://pith.science/pith/YM6C54D3DBCLUGM2KU6Q2V6JSJ","download_json":"https://pith.science/pith/YM6C54D3DBCLUGM2KU6Q2V6JSJ.json","view_paper":"https://pith.science/paper/YM6C54D3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.01984&json=true","fetch_graph":"https://pith.science/api/pith-number/YM6C54D3DBCLUGM2KU6Q2V6JSJ/graph.json","fetch_events":"https://pith.science/api/pith-number/YM6C54D3DBCLUGM2KU6Q2V6JSJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YM6C54D3DBCLUGM2KU6Q2V6JSJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YM6C54D3DBCLUGM2KU6Q2V6JSJ/action/storage_attestation","attest_author":"https://pith.science/pith/YM6C54D3DBCLUGM2KU6Q2V6JSJ/action/author_attestation","sign_citation":"https://pith.science/pith/YM6C54D3DBCLUGM2KU6Q2V6JSJ/action/citation_signature","submit_replication":"https://pith.science/pith/YM6C54D3DBCLUGM2KU6Q2V6JSJ/action/replication_record"}},"created_at":"2026-05-18T01:00:04.040404+00:00","updated_at":"2026-05-18T01:00:04.040404+00:00"}