{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FEVHXFRXQHAGSDX2CSVLAP663P","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"2e592e598baf73d7b8b4cbecccc22d7a1a62453c6d9e6bf8d8c89256336abbb5","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-10T13:10:43Z","title_canon_sha256":"6c8dd5de1e28cd5dd1de57a722c594ff7be230b77a1508cae3663dd0098b67a3"},"schema_version":"1.0","source":{"id":"1309.2494","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.2494","created_at":"2026-05-18T03:13:44Z"},{"alias_kind":"arxiv_version","alias_value":"1309.2494v1","created_at":"2026-05-18T03:13:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.2494","created_at":"2026-05-18T03:13:44Z"},{"alias_kind":"pith_short_12","alias_value":"FEVHXFRXQHAG","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FEVHXFRXQHAGSDX2","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FEVHXFRX","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:57cabf63e545a630071c7d29d46e27e8229d2b627368d3354d171312694d878b","target":"graph","created_at":"2026-05-18T03:13:44Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"Felix Otto, Lukas D\\\"oring, Radu Ignat","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-10T13:10:43Z","title":"A reduced model for domain walls in soft ferromagnetic films at the cross-over from symmetric to asymmetric wall types"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.2494","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:43367aa31f729537c7cebc6f500f0f3e78a1c6f0689d32122059acc5bd8c4fc9","target":"record","created_at":"2026-05-18T03:13:44Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"2e592e598baf73d7b8b4cbecccc22d7a1a62453c6d9e6bf8d8c89256336abbb5","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-10T13:10:43Z","title_canon_sha256":"6c8dd5de1e28cd5dd1de57a722c594ff7be230b77a1508cae3663dd0098b67a3"},"schema_version":"1.0","source":{"id":"1309.2494","kind":"arxiv","version":1}},"canonical_sha256":"292a7b963781c0690efa14aab03fdedbf748888acd1daf7db3ae3720f4325a56","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"292a7b963781c0690efa14aab03fdedbf748888acd1daf7db3ae3720f4325a56","first_computed_at":"2026-05-18T03:13:44.489827Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:44.489827Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Isa6cOdOiqXEsCVK7TLD/Wr81jcB6SOFhkEeG4PT/Qq8eiYBLBRiBNCIGcMvFQH9AW3x2H4PUkgt/qn+F+tUCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:44.490647Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.2494","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:43367aa31f729537c7cebc6f500f0f3e78a1c6f0689d32122059acc5bd8c4fc9","sha256:57cabf63e545a630071c7d29d46e27e8229d2b627368d3354d171312694d878b"],"state_sha256":"f756de8811fef68305e15beece803a8dd971c3cbe4c6fd09c60d31e0e9a96857"}