{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:U63LUEKJ3G3WYBXOXWNDSUCJCI","short_pith_number":"pith:U63LUEKJ","canonical_record":{"source":{"id":"1511.04034","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-11-12T19:57:12Z","cross_cats_sorted":[],"title_canon_sha256":"83512082fdbab2a45c64c152f3ad75091d3749e9af06d1066ba8e6cc4c3cfca0","abstract_canon_sha256":"90a7db8819ef0b091931a3676c57c20e05e5d272e72affcd049de8ba2e401216"},"schema_version":"1.0"},"canonical_sha256":"a7b6ba1149d9b76c06eebd9a3950491202c0a3be9c8e06556a31e5acb9f4b99a","source":{"kind":"arxiv","id":"1511.04034","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.04034","created_at":"2026-05-18T01:15:52Z"},{"alias_kind":"arxiv_version","alias_value":"1511.04034v1","created_at":"2026-05-18T01:15:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.04034","created_at":"2026-05-18T01:15:52Z"},{"alias_kind":"pith_short_12","alias_value":"U63LUEKJ3G3W","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"U63LUEKJ3G3WYBXO","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"U63LUEKJ","created_at":"2026-05-18T12:29:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:U63LUEKJ3G3WYBXOXWNDSUCJCI","target":"record","payload":{"canonical_record":{"source":{"id":"1511.04034","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-11-12T19:57:12Z","cross_cats_sorted":[],"title_canon_sha256":"83512082fdbab2a45c64c152f3ad75091d3749e9af06d1066ba8e6cc4c3cfca0","abstract_canon_sha256":"90a7db8819ef0b091931a3676c57c20e05e5d272e72affcd049de8ba2e401216"},"schema_version":"1.0"},"canonical_sha256":"a7b6ba1149d9b76c06eebd9a3950491202c0a3be9c8e06556a31e5acb9f4b99a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:52.009309Z","signature_b64":"aPZ+i4qy9MUyMqSc73fCDFsAjm3GIs1YgbmQeaGThSQHotZEwKCBxw00429lbLIpXbsZu6lTqGOh325XtBnYDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7b6ba1149d9b76c06eebd9a3950491202c0a3be9c8e06556a31e5acb9f4b99a","last_reissued_at":"2026-05-18T01:15:52.008913Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:52.008913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.04034","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:15:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KAGKkAnLKMtYwWtroXarUADjPYytQqYOON/O+f613ookw7UsYLOnqkLaAqQm3Jp5UxqL8KQL0CPRAa2Ds0vEAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T11:10:47.664975Z"},"content_sha256":"bf4cef64baaeecb71584a223cc9e7d3643f956be25f2ece7de6a234b993cac29","schema_version":"1.0","event_id":"sha256:bf4cef64baaeecb71584a223cc9e7d3643f956be25f2ece7de6a234b993cac29"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:U63LUEKJ3G3WYBXOXWNDSUCJCI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"General solution of the Dirac equation for quasi-two-dimensional electrons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"A.A. Eremko, L.S. Brizhik, V.M. Loktev","submitted_at":"2015-11-12T19:57:12Z","abstract_excerpt":"The general solution of the Dirac equation for quasi-two-dimensional electrons confined in an asymmetric quantum well, is found. The energy spectrum of such a system is exactly calculated using special unitary transformation and shown to depend on the electron spin polarization. The general solution, being the only one, contains free parameters, whose variation continuously transforms one known particular solution into another. As an example, two different cases are considered in detailL: electron in a deep and in a strongly asymmetric shallow quantum well. The effective mass renormalized by r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.04034","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:15:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z1uSsVkSgOK5zC5l5BYdK+xoBqD3QNqPlHUOKqkOe6bpdeQlJsOoagiqprvDwXO6kdjmaiRbZ44WJqmylqBuCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T11:10:47.665330Z"},"content_sha256":"349d04ee92a2b9dd66d5f0adf675bb6f7692e21d495671af0536586aba80d568","schema_version":"1.0","event_id":"sha256:349d04ee92a2b9dd66d5f0adf675bb6f7692e21d495671af0536586aba80d568"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U63LUEKJ3G3WYBXOXWNDSUCJCI/bundle.json","state_url":"https://pith.science/pith/U63LUEKJ3G3WYBXOXWNDSUCJCI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U63LUEKJ3G3WYBXOXWNDSUCJCI/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-01T11:10:47Z","links":{"resolver":"https://pith.science/pith/U63LUEKJ3G3WYBXOXWNDSUCJCI","bundle":"https://pith.science/pith/U63LUEKJ3G3WYBXOXWNDSUCJCI/bundle.json","state":"https://pith.science/pith/U63LUEKJ3G3WYBXOXWNDSUCJCI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U63LUEKJ3G3WYBXOXWNDSUCJCI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:U63LUEKJ3G3WYBXOXWNDSUCJCI","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"90a7db8819ef0b091931a3676c57c20e05e5d272e72affcd049de8ba2e401216","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-11-12T19:57:12Z","title_canon_sha256":"83512082fdbab2a45c64c152f3ad75091d3749e9af06d1066ba8e6cc4c3cfca0"},"schema_version":"1.0","source":{"id":"1511.04034","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.04034","created_at":"2026-05-18T01:15:52Z"},{"alias_kind":"arxiv_version","alias_value":"1511.04034v1","created_at":"2026-05-18T01:15:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.04034","created_at":"2026-05-18T01:15:52Z"},{"alias_kind":"pith_short_12","alias_value":"U63LUEKJ3G3W","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"U63LUEKJ3G3WYBXO","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"U63LUEKJ","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:349d04ee92a2b9dd66d5f0adf675bb6f7692e21d495671af0536586aba80d568","target":"graph","created_at":"2026-05-18T01:15:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The general solution of the Dirac equation for quasi-two-dimensional electrons confined in an asymmetric quantum well, is found. The energy spectrum of such a system is exactly calculated using special unitary transformation and shown to depend on the electron spin polarization. The general solution, being the only one, contains free parameters, whose variation continuously transforms one known particular solution into another. As an example, two different cases are considered in detailL: electron in a deep and in a strongly asymmetric shallow quantum well. The effective mass renormalized by r","authors_text":"A.A. Eremko, L.S. Brizhik, V.M. Loktev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-11-12T19:57:12Z","title":"General solution of the Dirac equation for quasi-two-dimensional electrons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.04034","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:bf4cef64baaeecb71584a223cc9e7d3643f956be25f2ece7de6a234b993cac29","target":"record","created_at":"2026-05-18T01:15:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"90a7db8819ef0b091931a3676c57c20e05e5d272e72affcd049de8ba2e401216","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-11-12T19:57:12Z","title_canon_sha256":"83512082fdbab2a45c64c152f3ad75091d3749e9af06d1066ba8e6cc4c3cfca0"},"schema_version":"1.0","source":{"id":"1511.04034","kind":"arxiv","version":1}},"canonical_sha256":"a7b6ba1149d9b76c06eebd9a3950491202c0a3be9c8e06556a31e5acb9f4b99a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7b6ba1149d9b76c06eebd9a3950491202c0a3be9c8e06556a31e5acb9f4b99a","first_computed_at":"2026-05-18T01:15:52.008913Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:52.008913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aPZ+i4qy9MUyMqSc73fCDFsAjm3GIs1YgbmQeaGThSQHotZEwKCBxw00429lbLIpXbsZu6lTqGOh325XtBnYDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:52.009309Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.04034","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf4cef64baaeecb71584a223cc9e7d3643f956be25f2ece7de6a234b993cac29","sha256:349d04ee92a2b9dd66d5f0adf675bb6f7692e21d495671af0536586aba80d568"],"state_sha256":"88d5718c0d8e5f743130239c334e67c9456768074c0c3130677b77f97606327a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/s0nuEdhNkH9iZaNjnH5CqX2+i9Ia9EIWC04vFZmOUzOJquHyDlOh6w4kM9/jU/CZbaiaJHpbEicUOHHVtYFBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T11:10:47.667570Z","bundle_sha256":"c66d7b72707749718f99c6817930fbca7d1603455cade00c67360d02bdceb70e"}}