{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:FHCZFYE2D2KNUL6G6ROZFP5RZB","short_pith_number":"pith:FHCZFYE2","schema_version":"1.0","canonical_sha256":"29c592e09a1e94da2fc6f45d92bfb1c84c2a76b71e1055e093fcb133d5fbb8ea","source":{"kind":"arxiv","id":"1305.2455","version":3},"attestation_state":"computed","paper":{"title":"Geometric treatment of conduction electron scattering by crystal lattice strains and dislocations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Koushik Viswanathan, Srinivasan Chandrasekar","submitted_at":"2013-05-10T23:24:37Z","abstract_excerpt":"A theory for conduction electron scattering by inhomogeneous crystal lattice strains is developed, based on the differential geometric treatment of deformations in solids. The resulting fully covariant Schr\\\"odinger equation shows that the electrons can be described as moving in a non-Euclidean background space in the continuum limit of the deformed lattice. Unlike previous work, the formalism is applicable to cases involving purely elastic strains as well as discrete and continuous distributions of dislocations --- in the latter two cases it clearly demarcates the effects of the dislocation s"},"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":"1305.2455","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2013-05-10T23:24:37Z","cross_cats_sorted":[],"title_canon_sha256":"d41ff549a3bc35ea8a711e590f604c103153152cfbbda96faba9901b7651a26d","abstract_canon_sha256":"7a08f793695e05b6b84ee60bbf9094aa28cbcccd05485cfc25b5c72edc929a1a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:28:21.035490Z","signature_b64":"8zWhCzeuf0rmU/xtpGRz3+3UlC77d/Zyw66VK8+3jT/9e3MydsxAKLsBvbEAKw45Sxm3NtYK4nUjBCDKmtW9AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"29c592e09a1e94da2fc6f45d92bfb1c84c2a76b71e1055e093fcb133d5fbb8ea","last_reissued_at":"2026-05-18T02:28:21.034820Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:28:21.034820Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometric treatment of conduction electron scattering by crystal lattice strains and dislocations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Koushik Viswanathan, Srinivasan Chandrasekar","submitted_at":"2013-05-10T23:24:37Z","abstract_excerpt":"A theory for conduction electron scattering by inhomogeneous crystal lattice strains is developed, based on the differential geometric treatment of deformations in solids. The resulting fully covariant Schr\\\"odinger equation shows that the electrons can be described as moving in a non-Euclidean background space in the continuum limit of the deformed lattice. Unlike previous work, the formalism is applicable to cases involving purely elastic strains as well as discrete and continuous distributions of dislocations --- in the latter two cases it clearly demarcates the effects of the dislocation s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.2455","kind":"arxiv","version":3},"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":"1305.2455","created_at":"2026-05-18T02:28:21.034902+00:00"},{"alias_kind":"arxiv_version","alias_value":"1305.2455v3","created_at":"2026-05-18T02:28:21.034902+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.2455","created_at":"2026-05-18T02:28:21.034902+00:00"},{"alias_kind":"pith_short_12","alias_value":"FHCZFYE2D2KN","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"FHCZFYE2D2KNUL6G","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"FHCZFYE2","created_at":"2026-05-18T12:27:45.050594+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/FHCZFYE2D2KNUL6G6ROZFP5RZB","json":"https://pith.science/pith/FHCZFYE2D2KNUL6G6ROZFP5RZB.json","graph_json":"https://pith.science/api/pith-number/FHCZFYE2D2KNUL6G6ROZFP5RZB/graph.json","events_json":"https://pith.science/api/pith-number/FHCZFYE2D2KNUL6G6ROZFP5RZB/events.json","paper":"https://pith.science/paper/FHCZFYE2"},"agent_actions":{"view_html":"https://pith.science/pith/FHCZFYE2D2KNUL6G6ROZFP5RZB","download_json":"https://pith.science/pith/FHCZFYE2D2KNUL6G6ROZFP5RZB.json","view_paper":"https://pith.science/paper/FHCZFYE2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1305.2455&json=true","fetch_graph":"https://pith.science/api/pith-number/FHCZFYE2D2KNUL6G6ROZFP5RZB/graph.json","fetch_events":"https://pith.science/api/pith-number/FHCZFYE2D2KNUL6G6ROZFP5RZB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FHCZFYE2D2KNUL6G6ROZFP5RZB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FHCZFYE2D2KNUL6G6ROZFP5RZB/action/storage_attestation","attest_author":"https://pith.science/pith/FHCZFYE2D2KNUL6G6ROZFP5RZB/action/author_attestation","sign_citation":"https://pith.science/pith/FHCZFYE2D2KNUL6G6ROZFP5RZB/action/citation_signature","submit_replication":"https://pith.science/pith/FHCZFYE2D2KNUL6G6ROZFP5RZB/action/replication_record"}},"created_at":"2026-05-18T02:28:21.034902+00:00","updated_at":"2026-05-18T02:28:21.034902+00:00"}