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Martin, Sebastian Holthausen","submitted_at":"2024-09-30T07:56:15Z","abstract_excerpt":"We combine the rate-formulation for the objective, corotational Zaremba-Jaumann rate\n  \\begin{align}\n  \\frac{{\\rm D}^{\\rm ZJ}}{{\\rm D} t} [\\sigma] = \\mathbb{H}^{\\rm ZJ}(\\sigma).D, \\qquad D = {\\rm sym} {\\rm D} v\\,,\n  \\end{align} operating on the Cauchy stress $\\sigma$, the Eulerian strain rate $D$ and the spatial velocity $v$ with the novel \\enquote{corotational stability postulate} (CSP)\\begin{equation}\n  \\Bigl\\langle \\frac{{\\rm D}^{\\rm ZJ}}{{\\rm D} t}[\\sigma], D \\Bigr\\rangle > 0 \\qquad \\forall \\, D\\in{\\rm Sym}(3)\\setminus\\{0\\} \\end{equation} to show that for a given isotropic Cauchy-elastic c"},"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":"2409.20051","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-09-30T07:56:15Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"56050564161791d4843786464e75b5d236d31ad452aa4a5e89bdbb52d06e43c7","abstract_canon_sha256":"442281ebbede837591f4ac113c9f66ea1773c8490d629f380f0c0e15aa7eb134"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:13:26.571346Z","signature_b64":"Q08AmVVjhNUUNVFhtSWO33clv6igqRQX3vjd/S6QnkXdv4Jmw4xbgB66xRvlwhGp0zqJf3+wMNop+cITTpLQAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a3a907584dfbc6bf7a50c868246666c707fd086a33f1f64d3e6310669b19b81","last_reissued_at":"2026-07-05T09:13:26.570942Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:13:26.570942Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hypo-elasticity, Cauchy-elasticity, corotational stability and monotonicity in the logarithmic strain","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Adam Sky, Davide Bernardini, Ionel-Dumitrel Ghiba, Marco Valerio D'Agostino, Patrizio Neff, Robert J. 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