{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:PK25R4TUTBPCM4BHY5M6JD33TY","short_pith_number":"pith:PK25R4TU","schema_version":"1.0","canonical_sha256":"7ab5d8f274985e267027c759e48f7b9e2ca494b94774afde09a186fbc5415747","source":{"kind":"arxiv","id":"1712.02253","version":1},"attestation_state":"computed","paper":{"title":"Mapping of Two-Dimensional Schr\\\"odinger Equation under the Point Transformation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"D.N.Nishnianidze, M.V.Ioffe, V.V.Vereshagin","submitted_at":"2017-12-06T16:11:45Z","abstract_excerpt":"For the two-dimensional Schr\\\"odinger equation, the general form of the point transformations such that the result can be interpreted as a Schr\\\"odinger equation with effective (i.e. position dependent) mass is studied. A wide class of such models with different forms of mass function is obtained in this way. Starting from the solvable two-dimensional model, the variety of solvable partner models with effective mass can be built. Several illustrating examples not amenable to the conventional separation of variables are given."},"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":"1712.02253","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-12-06T16:11:45Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"45abc1a6be3cebbb07d4333d191b8dc38db2049aff6cedd1b5b0f5d7b67399c7","abstract_canon_sha256":"6b0b4895a2c2109669a4cef59fa581d20826e77a7dcf13dcc7838f5358c8af8c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:09.850257Z","signature_b64":"YhoIIIkQpX5Wp9AZBSqGS56t9klNW2wOhgsjRUgeY/GxMbGkCoIxtkodqU3CQy3Ndu4nsujsQIDo4nqMyBROCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ab5d8f274985e267027c759e48f7b9e2ca494b94774afde09a186fbc5415747","last_reissued_at":"2026-05-18T00:28:09.849562Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:09.849562Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mapping of Two-Dimensional Schr\\\"odinger Equation under the Point Transformation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"D.N.Nishnianidze, M.V.Ioffe, V.V.Vereshagin","submitted_at":"2017-12-06T16:11:45Z","abstract_excerpt":"For the two-dimensional Schr\\\"odinger equation, the general form of the point transformations such that the result can be interpreted as a Schr\\\"odinger equation with effective (i.e. position dependent) mass is studied. A wide class of such models with different forms of mass function is obtained in this way. Starting from the solvable two-dimensional model, the variety of solvable partner models with effective mass can be built. Several illustrating examples not amenable to the conventional separation of variables are given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.02253","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":"1712.02253","created_at":"2026-05-18T00:28:09.849663+00:00"},{"alias_kind":"arxiv_version","alias_value":"1712.02253v1","created_at":"2026-05-18T00:28:09.849663+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.02253","created_at":"2026-05-18T00:28:09.849663+00:00"},{"alias_kind":"pith_short_12","alias_value":"PK25R4TUTBPC","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_16","alias_value":"PK25R4TUTBPCM4BH","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_8","alias_value":"PK25R4TU","created_at":"2026-05-18T12:31:37.085036+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/PK25R4TUTBPCM4BHY5M6JD33TY","json":"https://pith.science/pith/PK25R4TUTBPCM4BHY5M6JD33TY.json","graph_json":"https://pith.science/api/pith-number/PK25R4TUTBPCM4BHY5M6JD33TY/graph.json","events_json":"https://pith.science/api/pith-number/PK25R4TUTBPCM4BHY5M6JD33TY/events.json","paper":"https://pith.science/paper/PK25R4TU"},"agent_actions":{"view_html":"https://pith.science/pith/PK25R4TUTBPCM4BHY5M6JD33TY","download_json":"https://pith.science/pith/PK25R4TUTBPCM4BHY5M6JD33TY.json","view_paper":"https://pith.science/paper/PK25R4TU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1712.02253&json=true","fetch_graph":"https://pith.science/api/pith-number/PK25R4TUTBPCM4BHY5M6JD33TY/graph.json","fetch_events":"https://pith.science/api/pith-number/PK25R4TUTBPCM4BHY5M6JD33TY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PK25R4TUTBPCM4BHY5M6JD33TY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PK25R4TUTBPCM4BHY5M6JD33TY/action/storage_attestation","attest_author":"https://pith.science/pith/PK25R4TUTBPCM4BHY5M6JD33TY/action/author_attestation","sign_citation":"https://pith.science/pith/PK25R4TUTBPCM4BHY5M6JD33TY/action/citation_signature","submit_replication":"https://pith.science/pith/PK25R4TUTBPCM4BHY5M6JD33TY/action/replication_record"}},"created_at":"2026-05-18T00:28:09.849663+00:00","updated_at":"2026-05-18T00:28:09.849663+00:00"}