{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:X55CRKF4E27KW7UYZXPW5APXRY","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":"204c40a132a7bbbc2f607c90fe1611733bc3ab7bc8c406c24abcf8f9a10e7589","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2018-04-05T13:14:26Z","title_canon_sha256":"b72a4184aabfeb844dd0a54b7500a9458c176a5a5c5f3c427ceb18b265175606"},"schema_version":"1.0","source":{"id":"1804.01830","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.01830","created_at":"2026-05-18T00:19:09Z"},{"alias_kind":"arxiv_version","alias_value":"1804.01830v1","created_at":"2026-05-18T00:19:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.01830","created_at":"2026-05-18T00:19:09Z"},{"alias_kind":"pith_short_12","alias_value":"X55CRKF4E27K","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"X55CRKF4E27KW7UY","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"X55CRKF4","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:a2bc5727288f1b145f58eaa2ca7557daa5bb047dc3a3cbc36bc81a44cc93ba4d","target":"graph","created_at":"2026-05-18T00:19:09Z","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":"In this paper we present a simple and effective numerical method which allows a fast Fourier transformation-based evaluation of stress generated by dislocations with arbitrary directions and Burgers vectors if the (site-dependent) dislocation density is known. Our method allows the evaluation of the dislocation stress using a rectangular grid with shape-anisotropic discretization cells without employing higher multipole moments of the dislocation interaction coefficients. Using the proposed method, we first simulate the stress created by relatively simple nonhomogeneous distributions of vertic","authors_text":"D.V. Berkov, N.L. Gorn","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2018-04-05T13:14:26Z","title":"Dislocation-induced stress in polycrystalline materials: mesoscopic simulations in the dislocation density formalism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.01830","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:e9ccf2dab5300b91b01ed327c61da1c83dd9f4a4803165a73da1524a999967be","target":"record","created_at":"2026-05-18T00:19:09Z","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":"204c40a132a7bbbc2f607c90fe1611733bc3ab7bc8c406c24abcf8f9a10e7589","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2018-04-05T13:14:26Z","title_canon_sha256":"b72a4184aabfeb844dd0a54b7500a9458c176a5a5c5f3c427ceb18b265175606"},"schema_version":"1.0","source":{"id":"1804.01830","kind":"arxiv","version":1}},"canonical_sha256":"bf7a28a8bc26beab7e98cddf6e81f78e30f92326a5fec483960dce223a98b195","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf7a28a8bc26beab7e98cddf6e81f78e30f92326a5fec483960dce223a98b195","first_computed_at":"2026-05-18T00:19:09.805712Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:09.805712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"huUIYVIgmQ1iSxR0m2vr0UdD2QzF3A8UWXFkTjeeQpzfM+yfo2MK85RLcm3tsGu+tRm4XodHDRtguZEJd2E9Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:09.806339Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.01830","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e9ccf2dab5300b91b01ed327c61da1c83dd9f4a4803165a73da1524a999967be","sha256:a2bc5727288f1b145f58eaa2ca7557daa5bb047dc3a3cbc36bc81a44cc93ba4d"],"state_sha256":"aaa18479ff8b482c45aadab3de4d64a7678090edec68d8c9a3c6082a41fefc58"}