{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:2DFA2T36XSDWZLDPRJBTEY5DFA","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":"2ba9d974aad577f7b9e3fd1a7c4bb9977e242d1b958af2ced9f57b4fe02f64d0","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-10-13T17:26:31Z","title_canon_sha256":"942c2b275a436f22cc7a01b8c52224c9a6d10423da5f1449fa5175fd9a919469"},"schema_version":"1.0","source":{"id":"1510.07973","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.07973","created_at":"2026-05-18T01:16:47Z"},{"alias_kind":"arxiv_version","alias_value":"1510.07973v1","created_at":"2026-05-18T01:16:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.07973","created_at":"2026-05-18T01:16:47Z"},{"alias_kind":"pith_short_12","alias_value":"2DFA2T36XSDW","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"2DFA2T36XSDWZLDP","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"2DFA2T36","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:021436ea2c81d46ef818141b6a66e47204c4c4db2b8150243fbfbd98f63dc452","target":"graph","created_at":"2026-05-18T01:16:47Z","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 mathematical and computational models for computing the deformation of fiber-reinforced cross-plied laminates due to external forces. This requires an understanding of both micro-structural effects and different sources of uncertainty in the problem. We first show that the uncertainties in the problem are of both statistical (aleatoric) and systematic (epistemic) types and that current multiscale stochastic models, such as stationary random fields, which are based on precise probability theory, are not capable of correctly characterizing uncertainty in fiber composites. Next, we motiv","authors_text":"Ivo Babuska, Mohammad Motamed","cross_cats":["cond-mat.mtrl-sci"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-10-13T17:26:31Z","title":"A Fuzzy-Stochastic Multiscale Model for Fiber Composites: A one-dimensional study"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.07973","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":"sha256:52af6231b72b6fef0e252d87bc837a8cc5cf8feb94d0821b4eb81091a4072cbd","target":"record","created_at":"2026-05-18T01:16:47Z","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":"2ba9d974aad577f7b9e3fd1a7c4bb9977e242d1b958af2ced9f57b4fe02f64d0","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-10-13T17:26:31Z","title_canon_sha256":"942c2b275a436f22cc7a01b8c52224c9a6d10423da5f1449fa5175fd9a919469"},"schema_version":"1.0","source":{"id":"1510.07973","kind":"arxiv","version":1}},"canonical_sha256":"d0ca0d4f7ebc876cac6f8a433263a328071ce73c671d8584c6955a7e0d4c9f0d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0ca0d4f7ebc876cac6f8a433263a328071ce73c671d8584c6955a7e0d4c9f0d","first_computed_at":"2026-05-18T01:16:47.777564Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:47.777564Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4sWAw6LEI5xxDZHvL3tLZpXq4ZRqiVbZ+/jL5bDh9/rotldJp5DMphrIvC9CjcWdDCR37IaQKguwHU+aG4YJCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:47.778121Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.07973","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:52af6231b72b6fef0e252d87bc837a8cc5cf8feb94d0821b4eb81091a4072cbd","sha256:021436ea2c81d46ef818141b6a66e47204c4c4db2b8150243fbfbd98f63dc452"],"state_sha256":"2d289228f75ba9f6ec4c9336fbe5206ab4feacf9e4bdaddcc2da526ad3986ff3"}