{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:XBFO7L33XFJKTK5BG7TJASOF2V","short_pith_number":"pith:XBFO7L33","canonical_record":{"source":{"id":"1204.2416","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-04-11T11:22:28Z","cross_cats_sorted":[],"title_canon_sha256":"094ec50a80043c5ea3761683e6bb2a8e8ac99a7c3b910b9802074b3cb6235830","abstract_canon_sha256":"befb5f55c6561f6fce1231b9aa2c5b89bf652711d0bbd10a5f124702ac2f6501"},"schema_version":"1.0"},"canonical_sha256":"b84aefaf7bb952a9aba137e69049c5d55639479f990c57656b67fa0116371075","source":{"kind":"arxiv","id":"1204.2416","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.2416","created_at":"2026-05-18T01:57:53Z"},{"alias_kind":"arxiv_version","alias_value":"1204.2416v1","created_at":"2026-05-18T01:57:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.2416","created_at":"2026-05-18T01:57:53Z"},{"alias_kind":"pith_short_12","alias_value":"XBFO7L33XFJK","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"XBFO7L33XFJKTK5B","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"XBFO7L33","created_at":"2026-05-18T12:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:XBFO7L33XFJKTK5BG7TJASOF2V","target":"record","payload":{"canonical_record":{"source":{"id":"1204.2416","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-04-11T11:22:28Z","cross_cats_sorted":[],"title_canon_sha256":"094ec50a80043c5ea3761683e6bb2a8e8ac99a7c3b910b9802074b3cb6235830","abstract_canon_sha256":"befb5f55c6561f6fce1231b9aa2c5b89bf652711d0bbd10a5f124702ac2f6501"},"schema_version":"1.0"},"canonical_sha256":"b84aefaf7bb952a9aba137e69049c5d55639479f990c57656b67fa0116371075","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:53.613222Z","signature_b64":"VG76eeb/gMDL5IwTDWdApbedPxyGSsosYQU0tD9bhxIlcH/kFBeIsy2JkPrfTwXufNVVdKlmXPmHm84V6P/yDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b84aefaf7bb952a9aba137e69049c5d55639479f990c57656b67fa0116371075","last_reissued_at":"2026-05-18T01:57:53.612701Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:53.612701Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.2416","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":"2026-05-18T01:57:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zFT8n4UJxbuEdabOUpr3fU/yyzvXw7Z1iGmv9mPs4awAXNGT+r+K+tXT31YQfI8nmOh6+O9zn8ey/2kebmuaDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T01:32:39.611122Z"},"content_sha256":"bf1943b6990b36684a37d3456e06b17c655e166e4e4f6dd123072057d59cdf0f","schema_version":"1.0","event_id":"sha256:bf1943b6990b36684a37d3456e06b17c655e166e4e4f6dd123072057d59cdf0f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:XBFO7L33XFJKTK5BG7TJASOF2V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scattering states of a particle, with position-dependent mass, in a ${\\cal{PT}}$ symmetric heterojunction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Anjana Sinha","submitted_at":"2012-04-11T11:22:28Z","abstract_excerpt":"The study of a particle with position-dependent effective mass (pdem), within a double heterojunction is extended into the complex domain --- when the region within the heterojunctions is described by a non Hermitian ${\\cal{PT}}$ symmetric potential. After obtaining the exact analytical solutions, the reflection and transmission coefficients are calculated, and plotted as a function of the energy. It is observed that at least two of the characteristic features of non Hermitian ${\\cal{PT}}$ symmetric systems --- viz., left / right asymmetry and anomalous behaviour at spectral singularity, are p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.2416","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":"2026-05-18T01:57:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0v34SRx0XsLkwRDQi05lyI1GWrwwkS87t1llpUybPQGo5+DN6Aj/IfOEjwF1clsfm7dCPSRH3tAP/JMccbfiDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T01:32:39.611478Z"},"content_sha256":"cd9af33c29ceacd3ffaaeb12ea91292e009ed9788c5f039f5d18d41a5de5c934","schema_version":"1.0","event_id":"sha256:cd9af33c29ceacd3ffaaeb12ea91292e009ed9788c5f039f5d18d41a5de5c934"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XBFO7L33XFJKTK5BG7TJASOF2V/bundle.json","state_url":"https://pith.science/pith/XBFO7L33XFJKTK5BG7TJASOF2V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XBFO7L33XFJKTK5BG7TJASOF2V/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":"2026-06-26T01:32:39Z","links":{"resolver":"https://pith.science/pith/XBFO7L33XFJKTK5BG7TJASOF2V","bundle":"https://pith.science/pith/XBFO7L33XFJKTK5BG7TJASOF2V/bundle.json","state":"https://pith.science/pith/XBFO7L33XFJKTK5BG7TJASOF2V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XBFO7L33XFJKTK5BG7TJASOF2V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:XBFO7L33XFJKTK5BG7TJASOF2V","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":"befb5f55c6561f6fce1231b9aa2c5b89bf652711d0bbd10a5f124702ac2f6501","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-04-11T11:22:28Z","title_canon_sha256":"094ec50a80043c5ea3761683e6bb2a8e8ac99a7c3b910b9802074b3cb6235830"},"schema_version":"1.0","source":{"id":"1204.2416","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.2416","created_at":"2026-05-18T01:57:53Z"},{"alias_kind":"arxiv_version","alias_value":"1204.2416v1","created_at":"2026-05-18T01:57:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.2416","created_at":"2026-05-18T01:57:53Z"},{"alias_kind":"pith_short_12","alias_value":"XBFO7L33XFJK","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"XBFO7L33XFJKTK5B","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"XBFO7L33","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:cd9af33c29ceacd3ffaaeb12ea91292e009ed9788c5f039f5d18d41a5de5c934","target":"graph","created_at":"2026-05-18T01:57:53Z","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 study of a particle with position-dependent effective mass (pdem), within a double heterojunction is extended into the complex domain --- when the region within the heterojunctions is described by a non Hermitian ${\\cal{PT}}$ symmetric potential. After obtaining the exact analytical solutions, the reflection and transmission coefficients are calculated, and plotted as a function of the energy. It is observed that at least two of the characteristic features of non Hermitian ${\\cal{PT}}$ symmetric systems --- viz., left / right asymmetry and anomalous behaviour at spectral singularity, are p","authors_text":"Anjana Sinha","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-04-11T11:22:28Z","title":"Scattering states of a particle, with position-dependent mass, in a ${\\cal{PT}}$ symmetric heterojunction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.2416","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:bf1943b6990b36684a37d3456e06b17c655e166e4e4f6dd123072057d59cdf0f","target":"record","created_at":"2026-05-18T01:57:53Z","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":"befb5f55c6561f6fce1231b9aa2c5b89bf652711d0bbd10a5f124702ac2f6501","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-04-11T11:22:28Z","title_canon_sha256":"094ec50a80043c5ea3761683e6bb2a8e8ac99a7c3b910b9802074b3cb6235830"},"schema_version":"1.0","source":{"id":"1204.2416","kind":"arxiv","version":1}},"canonical_sha256":"b84aefaf7bb952a9aba137e69049c5d55639479f990c57656b67fa0116371075","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b84aefaf7bb952a9aba137e69049c5d55639479f990c57656b67fa0116371075","first_computed_at":"2026-05-18T01:57:53.612701Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:57:53.612701Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VG76eeb/gMDL5IwTDWdApbedPxyGSsosYQU0tD9bhxIlcH/kFBeIsy2JkPrfTwXufNVVdKlmXPmHm84V6P/yDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:57:53.613222Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.2416","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf1943b6990b36684a37d3456e06b17c655e166e4e4f6dd123072057d59cdf0f","sha256:cd9af33c29ceacd3ffaaeb12ea91292e009ed9788c5f039f5d18d41a5de5c934"],"state_sha256":"359ac38d2ee580443ca0ae535b6d6b442818fce8ec28f08926594f42eb4327f8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7icmfn6ssIMGcN9VD9UkBsd+IBAM0DIwRDETdZb5/8yaBC3Q+8pUqA9bdO1f/lRxGgh/DNvLZzQGXlTlio3DAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T01:32:39.613410Z","bundle_sha256":"e371404136473b2a92019d7e6716e618113b5efcb333377dfc71a58382096f5b"}}