{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:IJZT6EY5QA4VETLB4YVOGU7OJC","short_pith_number":"pith:IJZT6EY5","schema_version":"1.0","canonical_sha256":"42733f131d8039524d61e62ae353ee488402f90e6aa875cfb2a33416f2a825ae","source":{"kind":"arxiv","id":"1305.2393","version":1},"attestation_state":"computed","paper":{"title":"A Riemannian approach to strain measures in nonlinear elasticity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Bernhard Eidel, Frank Osterbrink, Patrizio Neff, Robert Martin","submitted_at":"2013-05-10T17:22:46Z","abstract_excerpt":"The isotropic Hencky strain energy appears naturally as a distance measure of the deformation gradient to the set SO(n) of rigid rotations in the canonical left-invariant Riemannian metric on the general linear group GL(n). Objectivity requires the Riemannian metric to be left-GL(n)-invariant, isotropy requires the Riemannian metric to be right-O(n)-invariant. The latter two conditions are satisfied for a three-parameter family of Riemannian metrics on the tangent space of GL(n). Surprisingly, the final result is basically independent of the chosen parameters. In deriving the result, geodesics"},"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":"1305.2393","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-05-10T17:22:46Z","cross_cats_sorted":[],"title_canon_sha256":"19c5c9ea55a484574b5ae273057a39c843c2a46dea85ac747d436216b0d4013c","abstract_canon_sha256":"d1a5f054c05a9c47b0936d32831fec9ce64315c0d7425a0a4a239e5a61a1ac54"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:50:03.575706Z","signature_b64":"HnQve4EWMoUSQFMLv4GraF4zvN+AxjsUtyW9+kPlVxE6pghsnlYhqI+UjqjIod9G+a/mvutYCCheVz0Lc6GICA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42733f131d8039524d61e62ae353ee488402f90e6aa875cfb2a33416f2a825ae","last_reissued_at":"2026-05-18T01:50:03.575126Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:50:03.575126Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Riemannian approach to strain measures in nonlinear elasticity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Bernhard Eidel, Frank Osterbrink, Patrizio Neff, Robert Martin","submitted_at":"2013-05-10T17:22:46Z","abstract_excerpt":"The isotropic Hencky strain energy appears naturally as a distance measure of the deformation gradient to the set SO(n) of rigid rotations in the canonical left-invariant Riemannian metric on the general linear group GL(n). Objectivity requires the Riemannian metric to be left-GL(n)-invariant, isotropy requires the Riemannian metric to be right-O(n)-invariant. The latter two conditions are satisfied for a three-parameter family of Riemannian metrics on the tangent space of GL(n). Surprisingly, the final result is basically independent of the chosen parameters. In deriving the result, geodesics"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.2393","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":"1305.2393","created_at":"2026-05-18T01:50:03.575207+00:00"},{"alias_kind":"arxiv_version","alias_value":"1305.2393v1","created_at":"2026-05-18T01:50:03.575207+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.2393","created_at":"2026-05-18T01:50:03.575207+00:00"},{"alias_kind":"pith_short_12","alias_value":"IJZT6EY5QA4V","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_16","alias_value":"IJZT6EY5QA4VETLB","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_8","alias_value":"IJZT6EY5","created_at":"2026-05-18T12:27:46.883200+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/IJZT6EY5QA4VETLB4YVOGU7OJC","json":"https://pith.science/pith/IJZT6EY5QA4VETLB4YVOGU7OJC.json","graph_json":"https://pith.science/api/pith-number/IJZT6EY5QA4VETLB4YVOGU7OJC/graph.json","events_json":"https://pith.science/api/pith-number/IJZT6EY5QA4VETLB4YVOGU7OJC/events.json","paper":"https://pith.science/paper/IJZT6EY5"},"agent_actions":{"view_html":"https://pith.science/pith/IJZT6EY5QA4VETLB4YVOGU7OJC","download_json":"https://pith.science/pith/IJZT6EY5QA4VETLB4YVOGU7OJC.json","view_paper":"https://pith.science/paper/IJZT6EY5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1305.2393&json=true","fetch_graph":"https://pith.science/api/pith-number/IJZT6EY5QA4VETLB4YVOGU7OJC/graph.json","fetch_events":"https://pith.science/api/pith-number/IJZT6EY5QA4VETLB4YVOGU7OJC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IJZT6EY5QA4VETLB4YVOGU7OJC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IJZT6EY5QA4VETLB4YVOGU7OJC/action/storage_attestation","attest_author":"https://pith.science/pith/IJZT6EY5QA4VETLB4YVOGU7OJC/action/author_attestation","sign_citation":"https://pith.science/pith/IJZT6EY5QA4VETLB4YVOGU7OJC/action/citation_signature","submit_replication":"https://pith.science/pith/IJZT6EY5QA4VETLB4YVOGU7OJC/action/replication_record"}},"created_at":"2026-05-18T01:50:03.575207+00:00","updated_at":"2026-05-18T01:50:03.575207+00:00"}