{"paper":{"title":"Singular geometry and eigenframe topology in local rank-2 tensor observables","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"A. Krawczuk, B. Doerschel, D. C. Lupascu, H. C. Hofsaess, I. C. J. Yap, J. H. Schell, P. M. Scott, S. Q. Jin, T. T. Dang","submitted_at":"2026-07-28T17:22:29Z","abstract_excerpt":"Symmetric second-rank tensors are reported through magnitude-ordered principal values and axes. This representation folds tensor space: although the physical tensor remains smooth, the reported parameters develop cusps and exchange labels when one principal value crosses zero or two become degenerate. It conceals a global effect: an arrow chosen along a principal axis and transported continuously around a closed loop encircling a degeneracy can return with opposite orientation, even though the tensor returns to itself. This reversal defines a binary return parity that is invariant under smooth"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.26008","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.26008/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}