{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:M4L446563HAXHTXHQ7BFAGCZB3","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":"bff613097a081600896f582d9961e8be52c15796b18b1550430094ab1b4752e6","cross_cats_sorted":["cs.CE","cs.NA"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NA","submitted_at":"2026-06-26T03:12:45Z","title_canon_sha256":"697249c7a2ae0d9360f48f2e56095a107a649e8c1f434e6059fd9eccfbbbe217"},"schema_version":"1.0","source":{"id":"2606.27674","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.27674","created_at":"2026-06-29T01:14:44Z"},{"alias_kind":"arxiv_version","alias_value":"2606.27674v1","created_at":"2026-06-29T01:14:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.27674","created_at":"2026-06-29T01:14:44Z"},{"alias_kind":"pith_short_12","alias_value":"M4L446563HAX","created_at":"2026-06-29T01:14:44Z"},{"alias_kind":"pith_short_16","alias_value":"M4L446563HAXHTXH","created_at":"2026-06-29T01:14:44Z"},{"alias_kind":"pith_short_8","alias_value":"M4L44656","created_at":"2026-06-29T01:14:44Z"}],"graph_snapshots":[{"event_id":"sha256:96bc6f3517a0cc263fcdf7b278a3df175094e0973a5b0a3fce0ccb589747fc95","target":"graph","created_at":"2026-06-29T01:14:44Z","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/2606.27674/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Body-fitted finite-element methods deliver high-order accuracy but hinge on a clean, watertight, conforming mesh, a requirement that breaks down for the geometrically imperfect CAD assemblies, image-based volumetric data, and voxel-native designs that pervade biomedical engineering and additive manufacturing, where mesh generation has become the dominant cost of the analysis cycle. Immersed methods on regular background Cartesian grids sidestep body-fitted meshing, but classical implementations integrate over irregular cut subdomains, destroying the tensor-product structure that enables separa","authors_text":"Guowei He, Jiachen Guo, Lei Zhang, Thomas J.R. Hughes, Wing Kam Liu","cross_cats":["cs.CE","cs.NA"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NA","submitted_at":"2026-06-26T03:12:45Z","title":"Geometry-Preserving Reduced-Order Modeling via Immersed Tensor Decomposition (ITD)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.27674","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":"sha256:83ba835cef5e7ae7b6f8ba1c81c43d76f0e86a30264ab4f38b0e5405c4f21634","target":"record","created_at":"2026-06-29T01:14:44Z","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":"bff613097a081600896f582d9961e8be52c15796b18b1550430094ab1b4752e6","cross_cats_sorted":["cs.CE","cs.NA"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NA","submitted_at":"2026-06-26T03:12:45Z","title_canon_sha256":"697249c7a2ae0d9360f48f2e56095a107a649e8c1f434e6059fd9eccfbbbe217"},"schema_version":"1.0","source":{"id":"2606.27674","kind":"arxiv","version":1}},"canonical_sha256":"6717ce7bbed9c173cee787c25018590efb399125537e991a30503e53cc98bb65","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6717ce7bbed9c173cee787c25018590efb399125537e991a30503e53cc98bb65","first_computed_at":"2026-06-29T01:14:44.968249Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-29T01:14:44.968249Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QYXo5NaS/OPA0/zIZWvvNei9N//1RKCMlvUPF+SmnZAzw+Evzc2Mta2zneCmnHBRfvFpuPK6hKbn/9uZsjakCw==","signature_status":"signed_v1","signed_at":"2026-06-29T01:14:44.968673Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.27674","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:83ba835cef5e7ae7b6f8ba1c81c43d76f0e86a30264ab4f38b0e5405c4f21634","sha256:96bc6f3517a0cc263fcdf7b278a3df175094e0973a5b0a3fce0ccb589747fc95"],"state_sha256":"20bcbe555373e38f792a2f2016f13547fc8816c8d8222b325d496aa035390a14"}