{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:EHT477EIKE26TU6LGWZZ46WASI","short_pith_number":"pith:EHT477EI","canonical_record":{"source":{"id":"1010.1744","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2010-10-08T17:27:53Z","cross_cats_sorted":["physics.atom-ph","quant-ph"],"title_canon_sha256":"6fb7db6fee4afa2a5dbd78bfc2465f8fbdd6a916b2ff910f88f4ed51cde9840e","abstract_canon_sha256":"b643fc4b8c71bb87f5d64c91dfe8722df844db5b228cd1937fd4fbbdfbee8d58"},"schema_version":"1.0"},"canonical_sha256":"21e7cffc885135e9d3cb35b39e7ac09228f618372db9d37dbbbe93988c818fbe","source":{"kind":"arxiv","id":"1010.1744","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.1744","created_at":"2026-05-18T04:20:38Z"},{"alias_kind":"arxiv_version","alias_value":"1010.1744v1","created_at":"2026-05-18T04:20:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.1744","created_at":"2026-05-18T04:20:38Z"},{"alias_kind":"pith_short_12","alias_value":"EHT477EIKE26","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"EHT477EIKE26TU6L","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"EHT477EI","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:EHT477EIKE26TU6LGWZZ46WASI","target":"record","payload":{"canonical_record":{"source":{"id":"1010.1744","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2010-10-08T17:27:53Z","cross_cats_sorted":["physics.atom-ph","quant-ph"],"title_canon_sha256":"6fb7db6fee4afa2a5dbd78bfc2465f8fbdd6a916b2ff910f88f4ed51cde9840e","abstract_canon_sha256":"b643fc4b8c71bb87f5d64c91dfe8722df844db5b228cd1937fd4fbbdfbee8d58"},"schema_version":"1.0"},"canonical_sha256":"21e7cffc885135e9d3cb35b39e7ac09228f618372db9d37dbbbe93988c818fbe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:20:38.448789Z","signature_b64":"2Zj406/3IQbtTYcXSPCc6PR2zwe4gFAJPekUgcFTJdRRpdd9V7IEYiD+TcFf77Wl1nFrSE727pkeMT3WwJY8CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"21e7cffc885135e9d3cb35b39e7ac09228f618372db9d37dbbbe93988c818fbe","last_reissued_at":"2026-05-18T04:20:38.448053Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:20:38.448053Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.1744","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":"2026-05-18T04:20:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CrpAOcvDUXjqILJ0qWJ5dNSe+iw60/JTOhAyKFm9+CLsRCl8/Dp/TfX1j3Cnsr/VJJUMaP+Olmpo9oVusZX0BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T13:27:16.886899Z"},"content_sha256":"7f9c719dae389f42578293b8a32c7246bce859bd1068c6568ace7b5fc7ab9f68","schema_version":"1.0","event_id":"sha256:7f9c719dae389f42578293b8a32c7246bce859bd1068c6568ace7b5fc7ab9f68"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:EHT477EIKE26TU6LGWZZ46WASI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytical solution to position dependent mass Schr\\\"odinger equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.atom-ph","quant-ph"],"primary_cat":"cond-mat.other","authors_text":"Hichem Eleuch, Pankaj K. Jha, Yuri V. Rostovtsev","submitted_at":"2010-10-08T17:27:53Z","abstract_excerpt":"Using a recently developed technique to solve Schr\\\"odinger equation for constant mass, we studied the regime in which mass varies with position i.e position dependent mass Schr\\\"odinger equation(PDMSE). We obtained an analytical solution for the PDMSE and applied our approach to study a position dependent mass $m(x)$ particle scattered by a potential $\\mathcal{V}(x)$. We also studied the structural analogy between PDMSE and two-level atomic system interacting with a classical field."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.1744","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":"2026-05-18T04:20:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8WfIQA0PTEZZ+IdT3DHdoErSYsy6n0RgrTF7aEcT3aAl10Wh1yYoieqRgAXgFpN0Fwrza2jta8nose5YtbW+BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T13:27:16.887257Z"},"content_sha256":"2bf8a0b2673f2d75468b20bf819e75e570351e6482b9d49b212c23a0b4d4c2e3","schema_version":"1.0","event_id":"sha256:2bf8a0b2673f2d75468b20bf819e75e570351e6482b9d49b212c23a0b4d4c2e3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EHT477EIKE26TU6LGWZZ46WASI/bundle.json","state_url":"https://pith.science/pith/EHT477EIKE26TU6LGWZZ46WASI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EHT477EIKE26TU6LGWZZ46WASI/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":"2026-06-24T13:27:16Z","links":{"resolver":"https://pith.science/pith/EHT477EIKE26TU6LGWZZ46WASI","bundle":"https://pith.science/pith/EHT477EIKE26TU6LGWZZ46WASI/bundle.json","state":"https://pith.science/pith/EHT477EIKE26TU6LGWZZ46WASI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EHT477EIKE26TU6LGWZZ46WASI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:EHT477EIKE26TU6LGWZZ46WASI","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":"b643fc4b8c71bb87f5d64c91dfe8722df844db5b228cd1937fd4fbbdfbee8d58","cross_cats_sorted":["physics.atom-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2010-10-08T17:27:53Z","title_canon_sha256":"6fb7db6fee4afa2a5dbd78bfc2465f8fbdd6a916b2ff910f88f4ed51cde9840e"},"schema_version":"1.0","source":{"id":"1010.1744","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.1744","created_at":"2026-05-18T04:20:38Z"},{"alias_kind":"arxiv_version","alias_value":"1010.1744v1","created_at":"2026-05-18T04:20:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.1744","created_at":"2026-05-18T04:20:38Z"},{"alias_kind":"pith_short_12","alias_value":"EHT477EIKE26","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"EHT477EIKE26TU6L","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"EHT477EI","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:2bf8a0b2673f2d75468b20bf819e75e570351e6482b9d49b212c23a0b4d4c2e3","target":"graph","created_at":"2026-05-18T04:20:38Z","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":"Using a recently developed technique to solve Schr\\\"odinger equation for constant mass, we studied the regime in which mass varies with position i.e position dependent mass Schr\\\"odinger equation(PDMSE). We obtained an analytical solution for the PDMSE and applied our approach to study a position dependent mass $m(x)$ particle scattered by a potential $\\mathcal{V}(x)$. We also studied the structural analogy between PDMSE and two-level atomic system interacting with a classical field.","authors_text":"Hichem Eleuch, Pankaj K. Jha, Yuri V. Rostovtsev","cross_cats":["physics.atom-ph","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2010-10-08T17:27:53Z","title":"Analytical solution to position dependent mass Schr\\\"odinger equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.1744","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":"sha256:7f9c719dae389f42578293b8a32c7246bce859bd1068c6568ace7b5fc7ab9f68","target":"record","created_at":"2026-05-18T04:20:38Z","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":"b643fc4b8c71bb87f5d64c91dfe8722df844db5b228cd1937fd4fbbdfbee8d58","cross_cats_sorted":["physics.atom-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2010-10-08T17:27:53Z","title_canon_sha256":"6fb7db6fee4afa2a5dbd78bfc2465f8fbdd6a916b2ff910f88f4ed51cde9840e"},"schema_version":"1.0","source":{"id":"1010.1744","kind":"arxiv","version":1}},"canonical_sha256":"21e7cffc885135e9d3cb35b39e7ac09228f618372db9d37dbbbe93988c818fbe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"21e7cffc885135e9d3cb35b39e7ac09228f618372db9d37dbbbe93988c818fbe","first_computed_at":"2026-05-18T04:20:38.448053Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:20:38.448053Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2Zj406/3IQbtTYcXSPCc6PR2zwe4gFAJPekUgcFTJdRRpdd9V7IEYiD+TcFf77Wl1nFrSE727pkeMT3WwJY8CA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:20:38.448789Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.1744","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7f9c719dae389f42578293b8a32c7246bce859bd1068c6568ace7b5fc7ab9f68","sha256:2bf8a0b2673f2d75468b20bf819e75e570351e6482b9d49b212c23a0b4d4c2e3"],"state_sha256":"7ea9acecbfd298f5bb7eb9a2f1bd22e3f53da3e92cb38a7e0c30852de71f337e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SA5r/qxS4SqXlhg43vrBFResNSY+iU8Yin94/vdACZivJ/o22wZETEwOc+W5lky5kdjyrsI+WN2860GL5rkOAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T13:27:16.889240Z","bundle_sha256":"621c1c0f0e7425e625ea1a04a1d1abec81c5db82175323aea406f76ec9486fdd"}}