{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:HETC5ZQ6ADQB7HWUMHUTMNOXWS","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":"c65631e2232055fcb0b531a96d09f76991b4b2d5f91c6bbdfd3b40b52d678886","cross_cats_sorted":["math.MP"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math-ph","submitted_at":"2025-06-12T18:02:19Z","title_canon_sha256":"e0af5fb63bc48531e9cbdd532ec2487c9b20ffb81d38c70c47c9a7e7d394bafb"},"schema_version":"1.0","source":{"id":"2506.11203","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.11203","created_at":"2026-07-05T12:00:02Z"},{"alias_kind":"arxiv_version","alias_value":"2506.11203v3","created_at":"2026-07-05T12:00:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.11203","created_at":"2026-07-05T12:00:02Z"},{"alias_kind":"pith_short_12","alias_value":"HETC5ZQ6ADQB","created_at":"2026-07-05T12:00:02Z"},{"alias_kind":"pith_short_16","alias_value":"HETC5ZQ6ADQB7HWU","created_at":"2026-07-05T12:00:02Z"},{"alias_kind":"pith_short_8","alias_value":"HETC5ZQ6","created_at":"2026-07-05T12:00:02Z"}],"graph_snapshots":[{"event_id":"sha256:34baa02462bad5963c7e26b0e9feabe3fb885e943aa72040497d2b859c91586c","target":"graph","created_at":"2026-07-05T12:00:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2506.11203/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Universal deformations are those that can be maintained in the absence of body forces and with boundary tractions alone, for all materials within a given constitutive class. We study the universal deformations of compressible isotropic Cauchy elastic solids reinforced by a single family of inextensible fibers. We consider straight fibers parallel to the Cartesian Z-axis in the reference configuration and derive the associated universality constraints, which depend explicitly on the geometry of the deformed fibers. We study universal deformations in two cases: (i) deformed fibers are straight l","authors_text":"Arash Yavari","cross_cats":["math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math-ph","submitted_at":"2025-06-12T18:02:19Z","title":"On Universal Deformations of Compressible Cauchy Elastic Solids Reinforced by Inextensible Fibers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.11203","kind":"arxiv","version":3},"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":"sha256:3c6f217335c7e596d22bf33fcdc23e6982cd58f0c4fa477964e803f83a661ecf","target":"record","created_at":"2026-07-05T12:00:02Z","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":"c65631e2232055fcb0b531a96d09f76991b4b2d5f91c6bbdfd3b40b52d678886","cross_cats_sorted":["math.MP"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math-ph","submitted_at":"2025-06-12T18:02:19Z","title_canon_sha256":"e0af5fb63bc48531e9cbdd532ec2487c9b20ffb81d38c70c47c9a7e7d394bafb"},"schema_version":"1.0","source":{"id":"2506.11203","kind":"arxiv","version":3}},"canonical_sha256":"39262ee61e00e01f9ed461e93635d7b488dc56892ed76189f30657bfb896c7bf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"39262ee61e00e01f9ed461e93635d7b488dc56892ed76189f30657bfb896c7bf","first_computed_at":"2026-07-05T12:00:02.294666Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:00:02.294666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oI2BfYiiR+5pQi1Mk60SXojphHQ/gBBsOpGmglt0C7svf1/zcpf6aFoHkPW5qxczZUTe0d259ia7r+2Y/3uBCA==","signature_status":"signed_v1","signed_at":"2026-07-05T12:00:02.295168Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.11203","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c6f217335c7e596d22bf33fcdc23e6982cd58f0c4fa477964e803f83a661ecf","sha256:34baa02462bad5963c7e26b0e9feabe3fb885e943aa72040497d2b859c91586c"],"state_sha256":"99b05d85610b72ea0210345be0114f32f1c13012080b2965aef4497849863677"}