{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:TPSA32LFHO6UN37Q4ZVU3LEX3S","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":"59ab58c0cd9ba5f643fd7b0fc3f41d4d218be209196b580e5297d45349a07f60","cross_cats_sorted":["cs.CE","cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-04-08T20:48:39Z","title_canon_sha256":"7a1aed5fa04257b263ef2f4562620d179381711609efbcaf2e6c97a3726a67f6"},"schema_version":"1.0","source":{"id":"2504.06425","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.06425","created_at":"2026-07-02T01:18:02Z"},{"alias_kind":"arxiv_version","alias_value":"2504.06425v2","created_at":"2026-07-02T01:18:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.06425","created_at":"2026-07-02T01:18:02Z"},{"alias_kind":"pith_short_12","alias_value":"TPSA32LFHO6U","created_at":"2026-07-02T01:18:02Z"},{"alias_kind":"pith_short_16","alias_value":"TPSA32LFHO6UN37Q","created_at":"2026-07-02T01:18:02Z"},{"alias_kind":"pith_short_8","alias_value":"TPSA32LF","created_at":"2026-07-02T01:18:02Z"}],"graph_snapshots":[{"event_id":"sha256:ef3f3650fd61632777941ca18b461a4cfe4a7e8b1b9b9e25a33908248d10fe15","target":"graph","created_at":"2026-07-02T01:18:02Z","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/2504.06425/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a neural network approach for fast evaluation of parameter-dependent polyconvex envelopes, which are crucial in computational mechanics. Our method uses a neural network architecture that inherently encodes polyconvexity in the main variable by combining a feature extraction layer that computes the minors function on the signed singular value characterisation of isotropic energy densities with a Partially Input Convex Neural Network (PICNN). The envelope inequality is weakly enforced by penalisation during training, as are the symmetries of the function. As a guiding example, we foc","authors_text":"Daniel Peterseim, Lo\\\"ic Balazi, Malte A. Peter, Timo Neumeier","cross_cats":["cs.CE","cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-04-08T20:48:39Z","title":"Neural Network Enhanced Polyconvexification of Isotropic Energy Densities in Computational Mechanics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.06425","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":"sha256:9651cca55b300b833e4f5a21114dd2da4fbfe94395c019e605a0d15f125356f1","target":"record","created_at":"2026-07-02T01:18:02Z","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":"59ab58c0cd9ba5f643fd7b0fc3f41d4d218be209196b580e5297d45349a07f60","cross_cats_sorted":["cs.CE","cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-04-08T20:48:39Z","title_canon_sha256":"7a1aed5fa04257b263ef2f4562620d179381711609efbcaf2e6c97a3726a67f6"},"schema_version":"1.0","source":{"id":"2504.06425","kind":"arxiv","version":2}},"canonical_sha256":"9be40de9653bbd46eff0e66b4dac97dc8dcc85159972287bd9ddf1ba4ecfcee2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9be40de9653bbd46eff0e66b4dac97dc8dcc85159972287bd9ddf1ba4ecfcee2","first_computed_at":"2026-07-02T01:18:02.595974Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-02T01:18:02.595974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g0rpBRz9kuSL82Jibo4Jct743r0QVEMP3095yi2uh7KqaT+P1nrU/CKvc414pDLs6Nkz9mdf8pO1tZaCe2KoCA==","signature_status":"signed_v1","signed_at":"2026-07-02T01:18:02.596541Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.06425","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9651cca55b300b833e4f5a21114dd2da4fbfe94395c019e605a0d15f125356f1","sha256:ef3f3650fd61632777941ca18b461a4cfe4a7e8b1b9b9e25a33908248d10fe15"],"state_sha256":"25300c2a55cfd8d2bc525c86dd3d98ac8cfb1ded511005e9268adad34d86e3cf"}