{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:X55CRKF4E27KW7UYZXPW5APXRY","short_pith_number":"pith:X55CRKF4","schema_version":"1.0","canonical_sha256":"bf7a28a8bc26beab7e98cddf6e81f78e30f92326a5fec483960dce223a98b195","source":{"kind":"arxiv","id":"1804.01830","version":1},"attestation_state":"computed","paper":{"title":"Dislocation-induced stress in polycrystalline materials: mesoscopic simulations in the dislocation density formalism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"D.V. Berkov, N.L. Gorn","submitted_at":"2018-04-05T13:14:26Z","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1804.01830","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2018-04-05T13:14:26Z","cross_cats_sorted":[],"title_canon_sha256":"b72a4184aabfeb844dd0a54b7500a9458c176a5a5c5f3c427ceb18b265175606","abstract_canon_sha256":"204c40a132a7bbbc2f607c90fe1611733bc3ab7bc8c406c24abcf8f9a10e7589"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:09.806339Z","signature_b64":"huUIYVIgmQ1iSxR0m2vr0UdD2QzF3A8UWXFkTjeeQpzfM+yfo2MK85RLcm3tsGu+tRm4XodHDRtguZEJd2E9Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf7a28a8bc26beab7e98cddf6e81f78e30f92326a5fec483960dce223a98b195","last_reissued_at":"2026-05-18T00:19:09.805712Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:09.805712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dislocation-induced stress in polycrystalline materials: mesoscopic simulations in the dislocation density formalism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"D.V. Berkov, N.L. Gorn","submitted_at":"2018-04-05T13:14:26Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.01830","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1804.01830","created_at":"2026-05-18T00:19:09.805823+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.01830v1","created_at":"2026-05-18T00:19:09.805823+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.01830","created_at":"2026-05-18T00:19:09.805823+00:00"},{"alias_kind":"pith_short_12","alias_value":"X55CRKF4E27K","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_16","alias_value":"X55CRKF4E27KW7UY","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_8","alias_value":"X55CRKF4","created_at":"2026-05-18T12:33:01.666342+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/X55CRKF4E27KW7UYZXPW5APXRY","json":"https://pith.science/pith/X55CRKF4E27KW7UYZXPW5APXRY.json","graph_json":"https://pith.science/api/pith-number/X55CRKF4E27KW7UYZXPW5APXRY/graph.json","events_json":"https://pith.science/api/pith-number/X55CRKF4E27KW7UYZXPW5APXRY/events.json","paper":"https://pith.science/paper/X55CRKF4"},"agent_actions":{"view_html":"https://pith.science/pith/X55CRKF4E27KW7UYZXPW5APXRY","download_json":"https://pith.science/pith/X55CRKF4E27KW7UYZXPW5APXRY.json","view_paper":"https://pith.science/paper/X55CRKF4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.01830&json=true","fetch_graph":"https://pith.science/api/pith-number/X55CRKF4E27KW7UYZXPW5APXRY/graph.json","fetch_events":"https://pith.science/api/pith-number/X55CRKF4E27KW7UYZXPW5APXRY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X55CRKF4E27KW7UYZXPW5APXRY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X55CRKF4E27KW7UYZXPW5APXRY/action/storage_attestation","attest_author":"https://pith.science/pith/X55CRKF4E27KW7UYZXPW5APXRY/action/author_attestation","sign_citation":"https://pith.science/pith/X55CRKF4E27KW7UYZXPW5APXRY/action/citation_signature","submit_replication":"https://pith.science/pith/X55CRKF4E27KW7UYZXPW5APXRY/action/replication_record"}},"created_at":"2026-05-18T00:19:09.805823+00:00","updated_at":"2026-05-18T00:19:09.805823+00:00"}