{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:SU5XLGUSP7JR6YKZMKOJWXD2SC","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":"4157d976b2a0bdad3ca5d9df7b7ff19498c0e5cb8b3421b08a6efa7615f43047","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-03-07T13:57:53Z","title_canon_sha256":"b1bf035571b71264fff855c7887c52bfe3ccdf07e1e2794db46bf58698bd3c03"},"schema_version":"1.0","source":{"id":"2603.07218","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.07218","created_at":"2026-05-21T01:04:24Z"},{"alias_kind":"arxiv_version","alias_value":"2603.07218v2","created_at":"2026-05-21T01:04:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.07218","created_at":"2026-05-21T01:04:24Z"},{"alias_kind":"pith_short_12","alias_value":"SU5XLGUSP7JR","created_at":"2026-05-21T01:04:24Z"},{"alias_kind":"pith_short_16","alias_value":"SU5XLGUSP7JR6YKZ","created_at":"2026-05-21T01:04:24Z"},{"alias_kind":"pith_short_8","alias_value":"SU5XLGUS","created_at":"2026-05-21T01:04:24Z"}],"graph_snapshots":[{"event_id":"sha256:5536a88fdde7cd9930e54db16722a2f2360ca1a8fd172fbb6c82aca5fbcb303f","target":"graph","created_at":"2026-05-21T01:04:24Z","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/2603.07218/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Low-order virtual element methods (VEM) compute a consistent finite-strain contribution through polynomial projections and rely on stabilization to control the unresolved modes in the projector kernel. In current hyperelastic VEM practice, stabilization is often defined by integrating a nonlinear surrogate energy over an auxiliary sub-triangulation and scaled through modified Lam\\'e parameters and incompressibility factors; this can introduce sensitivity to the arbitrary internal tessellation, complicate consistent Newton linearization, and, most critically, inject bulk-dependent proxies into ","authors_text":"Paulo Akira F. Enabe, Rodrigo Provasi","cross_cats":["cs.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-03-07T13:57:53Z","title":"An Investigation of Stabilization Scaling in Finite-Strain Virtual Element Methods for Hyperelasticity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.07218","kind":"arxiv","version":2},"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":"sha256:358e3ac3d44da93805b33723d0194aceb74b97c56dd74ee54fa5364c8a1bcdd0","target":"record","created_at":"2026-05-21T01:04:24Z","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":"4157d976b2a0bdad3ca5d9df7b7ff19498c0e5cb8b3421b08a6efa7615f43047","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-03-07T13:57:53Z","title_canon_sha256":"b1bf035571b71264fff855c7887c52bfe3ccdf07e1e2794db46bf58698bd3c03"},"schema_version":"1.0","source":{"id":"2603.07218","kind":"arxiv","version":2}},"canonical_sha256":"953b759a927fd31f6159629c9b5c7a9087befff3b011f0dd38eeb9486ec5325b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"953b759a927fd31f6159629c9b5c7a9087befff3b011f0dd38eeb9486ec5325b","first_computed_at":"2026-05-21T01:04:24.138683Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-21T01:04:24.138683Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YDJFLw1erQW+PTimH+bhLuehGyNvcn0isDk6Dt5kJOUhHhQvCkjHjmD7FHE7/jr8qPq5kyk5tbs+k/FhsLC4BQ==","signature_status":"signed_v1","signed_at":"2026-05-21T01:04:24.139530Z","signed_message":"canonical_sha256_bytes"},"source_id":"2603.07218","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:358e3ac3d44da93805b33723d0194aceb74b97c56dd74ee54fa5364c8a1bcdd0","sha256:5536a88fdde7cd9930e54db16722a2f2360ca1a8fd172fbb6c82aca5fbcb303f"],"state_sha256":"e4ec8fbebf6c5ffb26a094fd24a3b2bfd75f9a58851d6bd584682e22b245159b"}