{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:256IFX4I7ZNNWM7B62NQUI46NO","short_pith_number":"pith:256IFX4I","schema_version":"1.0","canonical_sha256":"d77c82df88fe5adb33e1f69b0a239e6b8805935d146a4bf017dcf9f2b68cf847","source":{"kind":"arxiv","id":"2105.10806","version":2},"attestation_state":"computed","paper":{"title":"Nonlinear elasticity of prestressed single crystals at high pressure and various elastic moduli","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Valery I. Levitas","submitted_at":"2021-05-22T20:43:02Z","abstract_excerpt":"A general nonlinear theory for the elasticity of pre-stressed single crystals is presented. Various types of elastic moduli are defined, their importance is determined, and relationships between them are presented. In particular, B moduli are present in the relationship between the Jaumann objective time derivative of the Cauchy stress and deformation rate and are broadly used in computational algorithms in various finite-element codes. Possible applications to simplified linear solutions for complex nonlinear elasticity problems are outlined and illustrated for a superdislocation. The effect "},"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":"2105.10806","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2021-05-22T20:43:02Z","cross_cats_sorted":[],"title_canon_sha256":"e24d0ff9319767d4381865d65d054297e28f7eb9a247148c3b1a94598ff3599b","abstract_canon_sha256":"a9a13c839d0cf361a09751195dfa2441ebfda1d4a5ccda78ac1b90414a89c4b6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:45:32.730281Z","signature_b64":"ndnq89Byrjog+BFq2OfgpvlfGKP7W3AHpGVXs6gG6Acd7Egxn7XFJX/Ze/KUjELGe5nAbTvsN6c66eNo5uDzAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d77c82df88fe5adb33e1f69b0a239e6b8805935d146a4bf017dcf9f2b68cf847","last_reissued_at":"2026-07-05T03:45:32.729801Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:45:32.729801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonlinear elasticity of prestressed single crystals at high pressure and various elastic moduli","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Valery I. Levitas","submitted_at":"2021-05-22T20:43:02Z","abstract_excerpt":"A general nonlinear theory for the elasticity of pre-stressed single crystals is presented. Various types of elastic moduli are defined, their importance is determined, and relationships between them are presented. In particular, B moduli are present in the relationship between the Jaumann objective time derivative of the Cauchy stress and deformation rate and are broadly used in computational algorithms in various finite-element codes. Possible applications to simplified linear solutions for complex nonlinear elasticity problems are outlined and illustrated for a superdislocation. The effect "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.10806","kind":"arxiv","version":2},"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/2105.10806/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2105.10806","created_at":"2026-07-05T03:45:32.729862+00:00"},{"alias_kind":"arxiv_version","alias_value":"2105.10806v2","created_at":"2026-07-05T03:45:32.729862+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.10806","created_at":"2026-07-05T03:45:32.729862+00:00"},{"alias_kind":"pith_short_12","alias_value":"256IFX4I7ZNN","created_at":"2026-07-05T03:45:32.729862+00:00"},{"alias_kind":"pith_short_16","alias_value":"256IFX4I7ZNNWM7B","created_at":"2026-07-05T03:45:32.729862+00:00"},{"alias_kind":"pith_short_8","alias_value":"256IFX4I","created_at":"2026-07-05T03:45:32.729862+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/256IFX4I7ZNNWM7B62NQUI46NO","json":"https://pith.science/pith/256IFX4I7ZNNWM7B62NQUI46NO.json","graph_json":"https://pith.science/api/pith-number/256IFX4I7ZNNWM7B62NQUI46NO/graph.json","events_json":"https://pith.science/api/pith-number/256IFX4I7ZNNWM7B62NQUI46NO/events.json","paper":"https://pith.science/paper/256IFX4I"},"agent_actions":{"view_html":"https://pith.science/pith/256IFX4I7ZNNWM7B62NQUI46NO","download_json":"https://pith.science/pith/256IFX4I7ZNNWM7B62NQUI46NO.json","view_paper":"https://pith.science/paper/256IFX4I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2105.10806&json=true","fetch_graph":"https://pith.science/api/pith-number/256IFX4I7ZNNWM7B62NQUI46NO/graph.json","fetch_events":"https://pith.science/api/pith-number/256IFX4I7ZNNWM7B62NQUI46NO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/256IFX4I7ZNNWM7B62NQUI46NO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/256IFX4I7ZNNWM7B62NQUI46NO/action/storage_attestation","attest_author":"https://pith.science/pith/256IFX4I7ZNNWM7B62NQUI46NO/action/author_attestation","sign_citation":"https://pith.science/pith/256IFX4I7ZNNWM7B62NQUI46NO/action/citation_signature","submit_replication":"https://pith.science/pith/256IFX4I7ZNNWM7B62NQUI46NO/action/replication_record"}},"created_at":"2026-07-05T03:45:32.729862+00:00","updated_at":"2026-07-05T03:45:32.729862+00:00"}