{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:OBKSWVMMXCUWQ5OGPVW5LHCQJ2","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":"7b14f621aca8ff228d60880f7bdadca1c37d09f7a88c5de45326e601f04a9621","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-23T05:44:46Z","title_canon_sha256":"145cc4eccf88348d20bc78c221a8072e26c33574ab781052110a03cb5f0896cf"},"schema_version":"1.0","source":{"id":"1710.08097","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.08097","created_at":"2026-05-18T00:32:19Z"},{"alias_kind":"arxiv_version","alias_value":"1710.08097v1","created_at":"2026-05-18T00:32:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.08097","created_at":"2026-05-18T00:32:19Z"},{"alias_kind":"pith_short_12","alias_value":"OBKSWVMMXCUW","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OBKSWVMMXCUWQ5OG","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OBKSWVMM","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:52c75d54434a16c1a429fc3508b841b0ee4790697708918bbc1bbd4755ffab84","target":"graph","created_at":"2026-05-18T00:32:19Z","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"},"paper":{"abstract_excerpt":"We discuss error identities for two classes of free boundary problems generated by obstacles. The identities suggest true forms of the respective error measures which consist of two parts: standard energy norm and a certain nonlinear measure. The latter measure controls (in a weak sense) approximation of free boundaries. Numerical tests confirm sharpness of error identities and show that in different examples one or another part of the error measure may be dominant.","authors_text":"Jan Valdman, Sergey Repin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-23T05:44:46Z","title":"Verifications of primal energy identities for variational problems with obstacles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.08097","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":"sha256:7d4cd0d2614aa18c9dbd88f06201bdc46fe5fb6195edd9586b181243b416df4b","target":"record","created_at":"2026-05-18T00:32:19Z","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":"7b14f621aca8ff228d60880f7bdadca1c37d09f7a88c5de45326e601f04a9621","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-23T05:44:46Z","title_canon_sha256":"145cc4eccf88348d20bc78c221a8072e26c33574ab781052110a03cb5f0896cf"},"schema_version":"1.0","source":{"id":"1710.08097","kind":"arxiv","version":1}},"canonical_sha256":"70552b558cb8a96875c67d6dd59c504ead8b4b133330cdc81715356c1d5f571f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"70552b558cb8a96875c67d6dd59c504ead8b4b133330cdc81715356c1d5f571f","first_computed_at":"2026-05-18T00:32:19.041473Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:19.041473Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ksrO6cvQzUJWlamljhcy5nuYuZxzSuNiAyro+Ch2a/4em6uwIXiOBcc5VDw3wDfWJySFxZUOTyG3LFq9/o3XBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:19.041948Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.08097","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d4cd0d2614aa18c9dbd88f06201bdc46fe5fb6195edd9586b181243b416df4b","sha256:52c75d54434a16c1a429fc3508b841b0ee4790697708918bbc1bbd4755ffab84"],"state_sha256":"d877fc2aa0c8fface230cb795805a2e9afc921d3457b59513026968aa13d5bd9"}