{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:YU637OZRVQMBP7YGTOUMCH35N4","short_pith_number":"pith:YU637OZR","schema_version":"1.0","canonical_sha256":"c53dbfbb31ac1817ff069ba8c11f7d6f2a50e03f8400482da12d205e87c5ed1c","source":{"kind":"arxiv","id":"1504.02216","version":4},"attestation_state":"computed","paper":{"title":"A continuum model for dislocation dynamics in three dimensions using the dislocation density potential functions and its application in understanding the micro-pillar size effect","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Yang Xiang, Yichao Zhu","submitted_at":"2015-04-09T07:53:48Z","abstract_excerpt":"In this paper, we present a dislocation-density-based three-dimensional continuum model, where the dislocation substructures are represented by pairs of dislocation density potential functions (DDPFs), denoted by $\\phi$ and $\\psi$. The slip plane distribution is characterized by the contour surfaces of $\\psi$, while the distribution of dislocation curves on each slip plane is identified by the contour curves of $\\phi$ which represents the plastic slip on the slip plane. By using DDPFs, we can explicitly write down an evolution equation system, which is shown consistent with the underlying disc"},"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":"1504.02216","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2015-04-09T07:53:48Z","cross_cats_sorted":[],"title_canon_sha256":"40de05d78ce42fa3abbf5a654a46006d8ca919dc5e350a0bac3ea01a28cee306","abstract_canon_sha256":"db176825e366e3606fe1577adb31ddbbaa4e04bfe57d8472b2f8fecebb4b17af"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:32:29.862360Z","signature_b64":"SMcdqrBPPdE+Eq1qL4/knmwiJGRyEtqtJOuk/KU/8TDKDmRE16P9gW29vjN6KcStbEYM8d/TKxSRFidX2Sn/Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c53dbfbb31ac1817ff069ba8c11f7d6f2a50e03f8400482da12d205e87c5ed1c","last_reissued_at":"2026-05-18T01:32:29.861559Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:32:29.861559Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A continuum model for dislocation dynamics in three dimensions using the dislocation density potential functions and its application in understanding the micro-pillar size effect","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Yang Xiang, Yichao Zhu","submitted_at":"2015-04-09T07:53:48Z","abstract_excerpt":"In this paper, we present a dislocation-density-based three-dimensional continuum model, where the dislocation substructures are represented by pairs of dislocation density potential functions (DDPFs), denoted by $\\phi$ and $\\psi$. The slip plane distribution is characterized by the contour surfaces of $\\psi$, while the distribution of dislocation curves on each slip plane is identified by the contour curves of $\\phi$ which represents the plastic slip on the slip plane. By using DDPFs, we can explicitly write down an evolution equation system, which is shown consistent with the underlying disc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.02216","kind":"arxiv","version":4},"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":"1504.02216","created_at":"2026-05-18T01:32:29.861674+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.02216v4","created_at":"2026-05-18T01:32:29.861674+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.02216","created_at":"2026-05-18T01:32:29.861674+00:00"},{"alias_kind":"pith_short_12","alias_value":"YU637OZRVQMB","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_16","alias_value":"YU637OZRVQMBP7YG","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_8","alias_value":"YU637OZR","created_at":"2026-05-18T12:29:52.810259+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/YU637OZRVQMBP7YGTOUMCH35N4","json":"https://pith.science/pith/YU637OZRVQMBP7YGTOUMCH35N4.json","graph_json":"https://pith.science/api/pith-number/YU637OZRVQMBP7YGTOUMCH35N4/graph.json","events_json":"https://pith.science/api/pith-number/YU637OZRVQMBP7YGTOUMCH35N4/events.json","paper":"https://pith.science/paper/YU637OZR"},"agent_actions":{"view_html":"https://pith.science/pith/YU637OZRVQMBP7YGTOUMCH35N4","download_json":"https://pith.science/pith/YU637OZRVQMBP7YGTOUMCH35N4.json","view_paper":"https://pith.science/paper/YU637OZR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.02216&json=true","fetch_graph":"https://pith.science/api/pith-number/YU637OZRVQMBP7YGTOUMCH35N4/graph.json","fetch_events":"https://pith.science/api/pith-number/YU637OZRVQMBP7YGTOUMCH35N4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YU637OZRVQMBP7YGTOUMCH35N4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YU637OZRVQMBP7YGTOUMCH35N4/action/storage_attestation","attest_author":"https://pith.science/pith/YU637OZRVQMBP7YGTOUMCH35N4/action/author_attestation","sign_citation":"https://pith.science/pith/YU637OZRVQMBP7YGTOUMCH35N4/action/citation_signature","submit_replication":"https://pith.science/pith/YU637OZRVQMBP7YGTOUMCH35N4/action/replication_record"}},"created_at":"2026-05-18T01:32:29.861674+00:00","updated_at":"2026-05-18T01:32:29.861674+00:00"}