{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:LJLOLUJEZTCBT64V7CWZUZ52JV","short_pith_number":"pith:LJLOLUJE","schema_version":"1.0","canonical_sha256":"5a56e5d124ccc419fb95f8ad9a67ba4d6a5acdccce4451fe823f21c11b45ba1a","source":{"kind":"arxiv","id":"2606.09319","version":1},"attestation_state":"computed","paper":{"title":"Crystal Shape and Lattice Deformation in Powder Diffraction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Alberto Leonardi, Matteo Leoni","submitted_at":"2026-06-08T10:30:09Z","abstract_excerpt":"Accurate modelling of diffraction peak shapes is essential for extracting microstructural information from nanocrystalline materials. Common-volume functions are widely used to describe finite-size and shape broadening in powder diffraction, but analytical expressions are available only for a limited set of ideal geometries. Here, we introduce a generalized Fourier-based framework in which crystal-domain shape deformation, lattice deformation, and relative shape-lattice misorientation are treated as independently refinable tensor operations within a unified formalism. The approach enables cont"},"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":"2606.09319","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2026-06-08T10:30:09Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"93feeb70bcc448629695982096a4164735ac2c8b83fb6cef577263b95886e419","abstract_canon_sha256":"539fe08d4036dc17fa80daa8b40b49e8e060bd16f3347495653adcdab57a6d00"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-09T02:08:14.766435Z","signature_b64":"6/H9/ntc03uEqV5Ky7ZV2fC9cyAr3S4niK85XWfjH8j8y/783zLS+hIR3Ae2tvgnEEherg1taDois8Ghsz7QDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a56e5d124ccc419fb95f8ad9a67ba4d6a5acdccce4451fe823f21c11b45ba1a","last_reissued_at":"2026-06-09T02:08:14.765585Z","signature_status":"signed_v1","first_computed_at":"2026-06-09T02:08:14.765585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Crystal Shape and Lattice Deformation in Powder Diffraction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Alberto Leonardi, Matteo Leoni","submitted_at":"2026-06-08T10:30:09Z","abstract_excerpt":"Accurate modelling of diffraction peak shapes is essential for extracting microstructural information from nanocrystalline materials. Common-volume functions are widely used to describe finite-size and shape broadening in powder diffraction, but analytical expressions are available only for a limited set of ideal geometries. Here, we introduce a generalized Fourier-based framework in which crystal-domain shape deformation, lattice deformation, and relative shape-lattice misorientation are treated as independently refinable tensor operations within a unified formalism. The approach enables cont"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.09319","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.09319/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2606.09319","created_at":"2026-06-09T02:08:14.765716+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.09319v1","created_at":"2026-06-09T02:08:14.765716+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.09319","created_at":"2026-06-09T02:08:14.765716+00:00"},{"alias_kind":"pith_short_12","alias_value":"LJLOLUJEZTCB","created_at":"2026-06-09T02:08:14.765716+00:00"},{"alias_kind":"pith_short_16","alias_value":"LJLOLUJEZTCBT64V","created_at":"2026-06-09T02:08:14.765716+00:00"},{"alias_kind":"pith_short_8","alias_value":"LJLOLUJE","created_at":"2026-06-09T02:08:14.765716+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/LJLOLUJEZTCBT64V7CWZUZ52JV","json":"https://pith.science/pith/LJLOLUJEZTCBT64V7CWZUZ52JV.json","graph_json":"https://pith.science/api/pith-number/LJLOLUJEZTCBT64V7CWZUZ52JV/graph.json","events_json":"https://pith.science/api/pith-number/LJLOLUJEZTCBT64V7CWZUZ52JV/events.json","paper":"https://pith.science/paper/LJLOLUJE"},"agent_actions":{"view_html":"https://pith.science/pith/LJLOLUJEZTCBT64V7CWZUZ52JV","download_json":"https://pith.science/pith/LJLOLUJEZTCBT64V7CWZUZ52JV.json","view_paper":"https://pith.science/paper/LJLOLUJE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.09319&json=true","fetch_graph":"https://pith.science/api/pith-number/LJLOLUJEZTCBT64V7CWZUZ52JV/graph.json","fetch_events":"https://pith.science/api/pith-number/LJLOLUJEZTCBT64V7CWZUZ52JV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LJLOLUJEZTCBT64V7CWZUZ52JV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LJLOLUJEZTCBT64V7CWZUZ52JV/action/storage_attestation","attest_author":"https://pith.science/pith/LJLOLUJEZTCBT64V7CWZUZ52JV/action/author_attestation","sign_citation":"https://pith.science/pith/LJLOLUJEZTCBT64V7CWZUZ52JV/action/citation_signature","submit_replication":"https://pith.science/pith/LJLOLUJEZTCBT64V7CWZUZ52JV/action/replication_record"}},"created_at":"2026-06-09T02:08:14.765716+00:00","updated_at":"2026-06-09T02:08:14.765716+00:00"}