{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:AJLP7WAV6YMGLFDSSKEQROMPMY","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":"99edb113b42c9befc27a10acbb2c27023e8e1e42ff4330ed9c1718a5646b9327","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-06-01T03:02:26Z","title_canon_sha256":"8c3dd40deadf7fd4a366ab3e5d60e2734c518256418faa8b9e322d18dd8b4dcf"},"schema_version":"1.0","source":{"id":"2606.01614","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.01614","created_at":"2026-06-02T02:04:38Z"},{"alias_kind":"arxiv_version","alias_value":"2606.01614v1","created_at":"2026-06-02T02:04:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.01614","created_at":"2026-06-02T02:04:38Z"},{"alias_kind":"pith_short_12","alias_value":"AJLP7WAV6YMG","created_at":"2026-06-02T02:04:38Z"},{"alias_kind":"pith_short_16","alias_value":"AJLP7WAV6YMGLFDS","created_at":"2026-06-02T02:04:38Z"},{"alias_kind":"pith_short_8","alias_value":"AJLP7WAV","created_at":"2026-06-02T02:04:38Z"}],"graph_snapshots":[{"event_id":"sha256:dd0f4a633c7feaa82b746dad589460259d001dc8bd79be39433429ddc12c06d7","target":"graph","created_at":"2026-06-02T02:04:38Z","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/2606.01614/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we introduce a new framework for designing stabilization-free virtual element methods (VEMs) based on an finite element interpolation-based strategy, where we can simultaneously eliminate the stabilization terms in the discretizations of diffusion and reaction terms. The core idea is to construct a computable, polynomial-preserving, and norm-equivalent interpolation operator from the virtual element space to a (local) finite element space. Leveraging the properties of this operator, we design two types of stabilization-free schemes. The first scheme requires the interpolation to","authors_text":"Bei Zhang, Jikun Zhao, Shipeng Mao, Wenhao Zhu","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-06-01T03:02:26Z","title":"Stabilization-free virtual element methods based on finite element interpolation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.01614","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":"sha256:3bdaea1fb004d20194a9a107bc41f9b076cdba898ffb7be2ec2fb7683f85ae35","target":"record","created_at":"2026-06-02T02:04:38Z","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":"99edb113b42c9befc27a10acbb2c27023e8e1e42ff4330ed9c1718a5646b9327","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-06-01T03:02:26Z","title_canon_sha256":"8c3dd40deadf7fd4a366ab3e5d60e2734c518256418faa8b9e322d18dd8b4dcf"},"schema_version":"1.0","source":{"id":"2606.01614","kind":"arxiv","version":1}},"canonical_sha256":"0256ffd815f618659472928908b98f660be436f9979824790588cdaf3af073a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0256ffd815f618659472928908b98f660be436f9979824790588cdaf3af073a7","first_computed_at":"2026-06-02T02:04:38.064589Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-02T02:04:38.064589Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T6P6MC63aX2dAlpdFGTkKtezTcbresoBtzRy0iibePZ4hN4WNZ2IfkkBTN9pbyBYNHC41CKIB75I5lm36SIUDw==","signature_status":"signed_v1","signed_at":"2026-06-02T02:04:38.065040Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.01614","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3bdaea1fb004d20194a9a107bc41f9b076cdba898ffb7be2ec2fb7683f85ae35","sha256:dd0f4a633c7feaa82b746dad589460259d001dc8bd79be39433429ddc12c06d7"],"state_sha256":"e8d527c6bc140642609c9fa3ef2fcdb2e6420312cd2f9d8c8473491b8861dd31"}