{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:CCNRBNFAPISGTZZP4RZAMDCD3U","short_pith_number":"pith:CCNRBNFA","canonical_record":{"source":{"id":"1606.08125","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-06-27T05:11:07Z","cross_cats_sorted":[],"title_canon_sha256":"7c5e31ff30ab1fef7592bcc7e5c61ce4d70b8fbce8e05c39734c81d5138ba6af","abstract_canon_sha256":"1600331f1ab05525b39096c8bd4a9eec92ccab3352148785305bd97d11abab0a"},"schema_version":"1.0"},"canonical_sha256":"109b10b4a07a2469e72fe472060c43dd3b6a3e7c8708fe14642f38cf0a78975d","source":{"kind":"arxiv","id":"1606.08125","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.08125","created_at":"2026-05-18T01:11:47Z"},{"alias_kind":"arxiv_version","alias_value":"1606.08125v1","created_at":"2026-05-18T01:11:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.08125","created_at":"2026-05-18T01:11:47Z"},{"alias_kind":"pith_short_12","alias_value":"CCNRBNFAPISG","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CCNRBNFAPISGTZZP","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CCNRBNFA","created_at":"2026-05-18T12:30:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:CCNRBNFAPISGTZZP4RZAMDCD3U","target":"record","payload":{"canonical_record":{"source":{"id":"1606.08125","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-06-27T05:11:07Z","cross_cats_sorted":[],"title_canon_sha256":"7c5e31ff30ab1fef7592bcc7e5c61ce4d70b8fbce8e05c39734c81d5138ba6af","abstract_canon_sha256":"1600331f1ab05525b39096c8bd4a9eec92ccab3352148785305bd97d11abab0a"},"schema_version":"1.0"},"canonical_sha256":"109b10b4a07a2469e72fe472060c43dd3b6a3e7c8708fe14642f38cf0a78975d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:47.654169Z","signature_b64":"Hyd3bp7aTiLqnelW+J7JaBOEY6a7R06Y3GDJTlI5OWXDfXGolx4CjTdKEqfjOgQMcWGTgjZSMbdj3GjCU9miBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"109b10b4a07a2469e72fe472060c43dd3b6a3e7c8708fe14642f38cf0a78975d","last_reissued_at":"2026-05-18T01:11:47.653842Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:47.653842Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.08125","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":"2026-05-18T01:11:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"arpjP42TEEOZyiiIX9sva51teNiRJc+EdpbN/RZA5HB5dlypf32aQBzWk1vdgLtSqR69wlvyu2gupeZ7cuE/Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T23:13:44.772594Z"},"content_sha256":"397e7049a7f566d898cca85f3ac255000f00dedcf2de494f891620188f133afa","schema_version":"1.0","event_id":"sha256:397e7049a7f566d898cca85f3ac255000f00dedcf2de494f891620188f133afa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:CCNRBNFAPISGTZZP4RZAMDCD3U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Algebraic solutions of shape-invariant position-dependent effective mass systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Naila Amir, Shahid Iqbal","submitted_at":"2016-06-27T05:11:07Z","abstract_excerpt":"Keeping in view the ordering ambiguity that arises due to the presence of position-dependent effective mass in the kinetic energy term of the Hamiltonian, a general scheme for obtaining algebraic solutions of quantum mechanical systems with position-dependent effective mass is discussed. We quantize the Hamiltonian of the pertaining system by using symmetric ordering of the operators concerning momentum and the spatially varying mass, initially proposed by von Roos and Levy-Leblond. The algebraic method, used to obtain the solutions, is based on the concepts of supersymmetric quantum mechanics"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.08125","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":"2026-05-18T01:11:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HD/F8fpoX8XJIWgn+MT5QfLG3O77JRJru/xDEi33UpEreS89CGgELgxjWUfFRwz4H6DGsUs412tp48jFXh8QCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T23:13:44.772944Z"},"content_sha256":"98c90584ef6fde3b420472f9e39f7e0f8d5b957b2dec83caedbc356dc3692797","schema_version":"1.0","event_id":"sha256:98c90584ef6fde3b420472f9e39f7e0f8d5b957b2dec83caedbc356dc3692797"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CCNRBNFAPISGTZZP4RZAMDCD3U/bundle.json","state_url":"https://pith.science/pith/CCNRBNFAPISGTZZP4RZAMDCD3U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CCNRBNFAPISGTZZP4RZAMDCD3U/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":"2026-07-01T23:13:44Z","links":{"resolver":"https://pith.science/pith/CCNRBNFAPISGTZZP4RZAMDCD3U","bundle":"https://pith.science/pith/CCNRBNFAPISGTZZP4RZAMDCD3U/bundle.json","state":"https://pith.science/pith/CCNRBNFAPISGTZZP4RZAMDCD3U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CCNRBNFAPISGTZZP4RZAMDCD3U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CCNRBNFAPISGTZZP4RZAMDCD3U","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":"1600331f1ab05525b39096c8bd4a9eec92ccab3352148785305bd97d11abab0a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-06-27T05:11:07Z","title_canon_sha256":"7c5e31ff30ab1fef7592bcc7e5c61ce4d70b8fbce8e05c39734c81d5138ba6af"},"schema_version":"1.0","source":{"id":"1606.08125","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.08125","created_at":"2026-05-18T01:11:47Z"},{"alias_kind":"arxiv_version","alias_value":"1606.08125v1","created_at":"2026-05-18T01:11:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.08125","created_at":"2026-05-18T01:11:47Z"},{"alias_kind":"pith_short_12","alias_value":"CCNRBNFAPISG","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CCNRBNFAPISGTZZP","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CCNRBNFA","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:98c90584ef6fde3b420472f9e39f7e0f8d5b957b2dec83caedbc356dc3692797","target":"graph","created_at":"2026-05-18T01:11:47Z","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":"Keeping in view the ordering ambiguity that arises due to the presence of position-dependent effective mass in the kinetic energy term of the Hamiltonian, a general scheme for obtaining algebraic solutions of quantum mechanical systems with position-dependent effective mass is discussed. We quantize the Hamiltonian of the pertaining system by using symmetric ordering of the operators concerning momentum and the spatially varying mass, initially proposed by von Roos and Levy-Leblond. The algebraic method, used to obtain the solutions, is based on the concepts of supersymmetric quantum mechanics","authors_text":"Naila Amir, Shahid Iqbal","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-06-27T05:11:07Z","title":"Algebraic solutions of shape-invariant position-dependent effective mass systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.08125","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":"sha256:397e7049a7f566d898cca85f3ac255000f00dedcf2de494f891620188f133afa","target":"record","created_at":"2026-05-18T01:11:47Z","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":"1600331f1ab05525b39096c8bd4a9eec92ccab3352148785305bd97d11abab0a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-06-27T05:11:07Z","title_canon_sha256":"7c5e31ff30ab1fef7592bcc7e5c61ce4d70b8fbce8e05c39734c81d5138ba6af"},"schema_version":"1.0","source":{"id":"1606.08125","kind":"arxiv","version":1}},"canonical_sha256":"109b10b4a07a2469e72fe472060c43dd3b6a3e7c8708fe14642f38cf0a78975d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"109b10b4a07a2469e72fe472060c43dd3b6a3e7c8708fe14642f38cf0a78975d","first_computed_at":"2026-05-18T01:11:47.653842Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:47.653842Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hyd3bp7aTiLqnelW+J7JaBOEY6a7R06Y3GDJTlI5OWXDfXGolx4CjTdKEqfjOgQMcWGTgjZSMbdj3GjCU9miBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:47.654169Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.08125","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:397e7049a7f566d898cca85f3ac255000f00dedcf2de494f891620188f133afa","sha256:98c90584ef6fde3b420472f9e39f7e0f8d5b957b2dec83caedbc356dc3692797"],"state_sha256":"624c950dc67783119be45fea425f934f3cf33f44e1b4427f90f96236ff7eeb8d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1nbnj9fVtrEyK0jgRz05cZwnQllBJ8LOT0s66ekZsD6pSrzV9LEr0KKY6pUvwGYPneGVWd0AJTfYbmuCQd6uCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T23:13:44.775522Z","bundle_sha256":"89f4684a6ed5b5f29581cc22ac3fd02eb53e78717fa36ebae5d440af72f8753f"}}