{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:FEVHXFRXQHAGSDX2CSVLAP663P","short_pith_number":"pith:FEVHXFRX","schema_version":"1.0","canonical_sha256":"292a7b963781c0690efa14aab03fdedbf748888acd1daf7db3ae3720f4325a56","source":{"kind":"arxiv","id":"1309.2494","version":1},"attestation_state":"computed","paper":{"title":"A reduced model for domain walls in soft ferromagnetic films at the cross-over from symmetric to asymmetric wall types","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Felix Otto, Lukas D\\\"oring, Radu Ignat","submitted_at":"2013-09-10T13:10:43Z","abstract_excerpt":"We study the Landau-Lifshitz model for the energy of multi-scale transition layers -- called \"domain walls\" -- in soft ferromagnetic films. Domain walls separate domains of constant magnetization vectors $m^\\pm \\in \\mathbb{S}^2$ that differ by an angle $2\\alpha$. Assuming translation invariance tangential to the wall, our main result is the rigorous derivation of a reduced model for the energy of the optimal transition layer, which in a certain parameter regime confirms the experimental, numerical and physical predictions: The minimal energy splits into a contribution from an asymmetric, diver"},"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":"1309.2494","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-10T13:10:43Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"6c8dd5de1e28cd5dd1de57a722c594ff7be230b77a1508cae3663dd0098b67a3","abstract_canon_sha256":"2e592e598baf73d7b8b4cbecccc22d7a1a62453c6d9e6bf8d8c89256336abbb5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:13:44.490647Z","signature_b64":"Isa6cOdOiqXEsCVK7TLD/Wr81jcB6SOFhkEeG4PT/Qq8eiYBLBRiBNCIGcMvFQH9AW3x2H4PUkgt/qn+F+tUCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"292a7b963781c0690efa14aab03fdedbf748888acd1daf7db3ae3720f4325a56","last_reissued_at":"2026-05-18T03:13:44.489827Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:13:44.489827Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A reduced model for domain walls in soft ferromagnetic films at the cross-over from symmetric to asymmetric wall types","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Felix Otto, Lukas D\\\"oring, Radu Ignat","submitted_at":"2013-09-10T13:10:43Z","abstract_excerpt":"We study the Landau-Lifshitz model for the energy of multi-scale transition layers -- called \"domain walls\" -- in soft ferromagnetic films. Domain walls separate domains of constant magnetization vectors $m^\\pm \\in \\mathbb{S}^2$ that differ by an angle $2\\alpha$. Assuming translation invariance tangential to the wall, our main result is the rigorous derivation of a reduced model for the energy of the optimal transition layer, which in a certain parameter regime confirms the experimental, numerical and physical predictions: The minimal energy splits into a contribution from an asymmetric, diver"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.2494","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":"1309.2494","created_at":"2026-05-18T03:13:44.489979+00:00"},{"alias_kind":"arxiv_version","alias_value":"1309.2494v1","created_at":"2026-05-18T03:13:44.489979+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.2494","created_at":"2026-05-18T03:13:44.489979+00:00"},{"alias_kind":"pith_short_12","alias_value":"FEVHXFRXQHAG","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"FEVHXFRXQHAGSDX2","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"FEVHXFRX","created_at":"2026-05-18T12:27:45.050594+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/FEVHXFRXQHAGSDX2CSVLAP663P","json":"https://pith.science/pith/FEVHXFRXQHAGSDX2CSVLAP663P.json","graph_json":"https://pith.science/api/pith-number/FEVHXFRXQHAGSDX2CSVLAP663P/graph.json","events_json":"https://pith.science/api/pith-number/FEVHXFRXQHAGSDX2CSVLAP663P/events.json","paper":"https://pith.science/paper/FEVHXFRX"},"agent_actions":{"view_html":"https://pith.science/pith/FEVHXFRXQHAGSDX2CSVLAP663P","download_json":"https://pith.science/pith/FEVHXFRXQHAGSDX2CSVLAP663P.json","view_paper":"https://pith.science/paper/FEVHXFRX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1309.2494&json=true","fetch_graph":"https://pith.science/api/pith-number/FEVHXFRXQHAGSDX2CSVLAP663P/graph.json","fetch_events":"https://pith.science/api/pith-number/FEVHXFRXQHAGSDX2CSVLAP663P/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FEVHXFRXQHAGSDX2CSVLAP663P/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FEVHXFRXQHAGSDX2CSVLAP663P/action/storage_attestation","attest_author":"https://pith.science/pith/FEVHXFRXQHAGSDX2CSVLAP663P/action/author_attestation","sign_citation":"https://pith.science/pith/FEVHXFRXQHAGSDX2CSVLAP663P/action/citation_signature","submit_replication":"https://pith.science/pith/FEVHXFRXQHAGSDX2CSVLAP663P/action/replication_record"}},"created_at":"2026-05-18T03:13:44.489979+00:00","updated_at":"2026-05-18T03:13:44.489979+00:00"}