{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:JVTEH6ZSBAHH4DZSMT4KB3MHLH","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":"46aed13886d5cee5948ec84d8785ee701a5f82d41a8de75e2565f43a4107263f","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NA","submitted_at":"2025-05-20T08:08:46Z","title_canon_sha256":"621f83925078471b8ae45bdd51f8c4efc6b967fef29a92bbb2c8c03b54deec4e"},"schema_version":"1.0","source":{"id":"2505.14063","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.14063","created_at":"2026-07-05T11:05:55Z"},{"alias_kind":"arxiv_version","alias_value":"2505.14063v1","created_at":"2026-07-05T11:05:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.14063","created_at":"2026-07-05T11:05:55Z"},{"alias_kind":"pith_short_12","alias_value":"JVTEH6ZSBAHH","created_at":"2026-07-05T11:05:55Z"},{"alias_kind":"pith_short_16","alias_value":"JVTEH6ZSBAHH4DZS","created_at":"2026-07-05T11:05:55Z"},{"alias_kind":"pith_short_8","alias_value":"JVTEH6ZS","created_at":"2026-07-05T11:05:55Z"}],"graph_snapshots":[{"event_id":"sha256:dc14afa03b0a6ec1393b174e32c0b2043d486acc259441061107e094d33ed8f7","target":"graph","created_at":"2026-07-05T11:05:55Z","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/2505.14063/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper introduces PolyDiM, an open-source C++ library tailored for the development and implementation of polytopal discretization methods for partial differential equations. The library provides robust and modular tools to support advanced numerical techniques, with a focus on the Virtual Element Method in both 2D and 3D settings. PolyDiM is designed to address a wide range of challenging problems, including those involving non-convex geometries, Discrete Fracture Networks, and mixed-dimensional coupling. It is integrated with the geometry library GeDiM, and offers interfaces for MATLAB an","authors_text":"Andrea Borio, Fabio Vicini, Gioana Teora, Stefano Berrone","cross_cats":["cs.NA"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NA","submitted_at":"2025-05-20T08:08:46Z","title":"POLYDIM: A C++ library for POLYtopal DIscretization Methods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.14063","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":"sha256:1e6f9eccd566d1b80893ab72fdfc4730422fdb3d0eb465f78a11b2bde310d0f5","target":"record","created_at":"2026-07-05T11:05:55Z","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":"46aed13886d5cee5948ec84d8785ee701a5f82d41a8de75e2565f43a4107263f","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NA","submitted_at":"2025-05-20T08:08:46Z","title_canon_sha256":"621f83925078471b8ae45bdd51f8c4efc6b967fef29a92bbb2c8c03b54deec4e"},"schema_version":"1.0","source":{"id":"2505.14063","kind":"arxiv","version":1}},"canonical_sha256":"4d6643fb32080e7e0f3264f8a0ed8759f79a879b288ea8ef119a7b665f395cd4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d6643fb32080e7e0f3264f8a0ed8759f79a879b288ea8ef119a7b665f395cd4","first_computed_at":"2026-07-05T11:05:55.491938Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:05:55.491938Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g2a/AMgg7UtjgeVqUYZc7SqBgrt41Z7/0Onq6qyOYFWID1COaGxbt3e/wa0jEwu5m5uLCqEnXJkeAU/poqhSCA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:05:55.492357Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.14063","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e6f9eccd566d1b80893ab72fdfc4730422fdb3d0eb465f78a11b2bde310d0f5","sha256:dc14afa03b0a6ec1393b174e32c0b2043d486acc259441061107e094d33ed8f7"],"state_sha256":"8a0c70571236ab7ebdd640f97bc3c1c86267a9f379943d6072baeb0d8617b7ad"}