{"as_of":"2026-08-13T01:37:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d847ca781486a458cc0238b172ee180586d59d7d9f2c4141a9d7e9797526b40a","coverage":[{"denominator":23,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":23,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T16:52:53.766499Z","state":"measured"},{"denominator":23,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":23,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2411.13175/citation-record","integrity":"/paper/2411.13175/integrity","json":"/paper/2411.13175/citation-record.json","paper":"/paper/2411.13175"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1081/tt-100105939","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:52:53.964467Z","title":"Mathematical concepts of open quantum boun dary conditions","venue":null,"work_id":"0d10d46d-39ad-4f23-aad7-0bba4a21fa0d","year":2001},"citing_paper":{"arxiv_id":"2411.13175","last_updated":"2024-11-20T10:18:56Z","snapshot_observed_at":"2026-08-12T16:42:52.329253Z","submitted_at":"2024-11-20T10:18:56Z","title":"High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\\\"odinger-Poisson Problem","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T16:52:53.679315Z"},"links":{"citing_paper":"/paper/2411.13175"},"observation_digest":"sha256:623e2e74588d05bd620028b565a5d821cc094481a1695680d96fd5f77630d024","observation_id":"82caabf3-7cdd-4a53-a93a-a034e1e70cf0","resolution":{"observed_at":"2026-08-12T16:52:53.968419Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/pl00001463","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:52:53.952181Z","title":"On a one-dimensional Schr¨ odinger-Poisson scattering model","venue":null,"work_id":"5012683f-8ad6-48a9-b9e9-57170e70113c","year":1997},"citing_paper":{"arxiv_id":"2411.13175","last_updated":"2024-11-20T10:18:56Z","snapshot_observed_at":"2026-08-12T16:42:52.329253Z","submitted_at":"2024-11-20T10:18:56Z","title":"High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\\\"odinger-Poisson Problem","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T16:52:53.684052Z"},"links":{"citing_paper":"/paper/2411.13175"},"observation_digest":"sha256:5c387a7ee23900c5fdccc1fd6e71e396ace4987f496e441efe95845b683491d8","observation_id":"f2cb2616-ef53-4871-9b2f-e4d6fbaf36b5","resolution":{"observed_at":"2026-08-12T16:52:53.956661Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1063/1.1655067","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:52:53.939654Z","title":null,"venue":null,"work_id":"835a11fd-d49f-4743-8d41-6549d71c4fc0","year":1974},"citing_paper":{"arxiv_id":"2411.13175","last_updated":"2024-11-20T10:18:56Z","snapshot_observed_at":"2026-08-12T16:42:52.329253Z","submitted_at":"2024-11-20T10:18:56Z","title":"High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\\\"odinger-Poisson Problem","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T16:52:53.688201Z"},"links":{"citing_paper":"/paper/2411.13175"},"observation_digest":"sha256:acec599eb154031842cbe2accecaf2027c92ccd18d395e1b9356790fb168a23c","observation_id":"5e7712ba-396e-461f-9c82-657a35264328","resolution":{"observed_at":"2026-08-12T16:52:53.943532Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"1997.0563","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:52:54.274371Z","title":"Datta, F","venue":null,"work_id":"7dc1d2df-6ded-4a69-a7d2-2a7a5a7871d9","year":1998},"citing_paper":{"arxiv_id":"2411.13175","last_updated":"2024-11-20T10:18:56Z","snapshot_observed_at":"2026-08-12T16:42:52.329253Z","submitted_at":"2024-11-20T10:18:56Z","title":"High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\\\"odinger-Poisson Problem","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T16:52:53.692367Z"},"links":{"citing_paper":"/paper/2411.13175"},"observation_digest":"sha256:4f8184db32581c3ca04e447dc136007b82040a7a9639248618f5d52c74044776","observation_id":"0339b89f-f46d-4b80-9d2a-933fb61864f4","resolution":{"observed_at":"2026-08-12T16:52:54.282867Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:52:53.696406Z","title":"Nanoscale device modeling: the Green’s fu nction method","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2411.13175","last_updated":"2024-11-20T10:18:56Z","snapshot_observed_at":"2026-08-12T16:42:52.329253Z","submitted_at":"2024-11-20T10:18:56Z","title":"High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\\\"odinger-Poisson Problem","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T16:52:53.696406Z"},"links":{"citing_paper":"/paper/2411.13175"},"observation_digest":"sha256:eda1580ba8e46c29a19428a8ce9c85f9b58743345567534f74a9375945486f0a","observation_id":"806f9fa3-f5af-4da0-9fa2-b1724745c9a0","resolution":{"observed_at":"2026-08-12T16:52:53.696406Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1088/0034-4885/53/8/001","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:52:53.927272Z","title":"Quantum transport i n ultrasmall electronic devices","venue":null,"work_id":"a78de40f-9ec8-404a-9ad3-c9a53253b6af","year":1990},"citing_paper":{"arxiv_id":"2411.13175","last_updated":"2024-11-20T10:18:56Z","snapshot_observed_at":"2026-08-12T16:42:52.329253Z","submitted_at":"2024-11-20T10:18:56Z","title":"High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\\\"odinger-Poisson Problem","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T16:52:53.700511Z"},"links":{"citing_paper":"/paper/2411.13175"},"observation_digest":"sha256:d531b93b5525abf036e5162140be687bc71240b220befb2db8c9234ae073b01a","observation_id":"a6b35944-7945-4529-b4fd-a9b538eaaf68","resolution":{"observed_at":"2026-08-12T16:52:53.931500Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physrevb.36.1570","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:52:53.914540Z","title":"Frensley","venue":null,"work_id":"851fdc04-1e1e-4761-b19a-0bab870f1fed","year":1987},"citing_paper":{"arxiv_id":"2411.13175","last_updated":"2024-11-20T10:18:56Z","snapshot_observed_at":"2026-08-12T16:42:52.329253Z","submitted_at":"2024-11-20T10:18:56Z","title":"High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\\\"odinger-Poisson Problem","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T16:52:53.705398Z"},"links":{"citing_paper":"/paper/2411.13175"},"observation_digest":"sha256:6e2163e6195e20d78e77722093ae0f8264290ae13671681f9c39d193e9a7d826","observation_id":"845e1c14-0f73-48a4-a0a3-859b7ef9d336","resolution":{"observed_at":"2026-08-12T16:52:53.918898Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physrevlett.66.1078","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:52:53.901356Z","title":null,"venue":null,"work_id":"9f8e312c-b007-4fed-b228-d5ef35b21957","year":1991},"citing_paper":{"arxiv_id":"2411.13175","last_updated":"2024-11-20T10:18:56Z","snapshot_observed_at":"2026-08-12T16:42:52.329253Z","submitted_at":"2024-11-20T10:18:56Z","title":"High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\\\"odinger-Poisson Problem","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T16:52:53.709176Z"},"links":{"citing_paper":"/paper/2411.13175"},"observation_digest":"sha256:63fc1ea89d58972cc07bc7d7043606580d2ca448153b9bdabb0e5c0696f92be2","observation_id":"42421b5e-010e-4d20-a5c6-d6e66ec039c4","resolution":{"observed_at":"2026-08-12T16:52:53.906358Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jcp.2008.03.018","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:52:53.888467Z","title":"Bou ndary treatments in non-equilibrium Green’s function (NEGF) methods for quantum transport in na no-MOSFETs","venue":null,"work_id":"5911115a-8624-49e0-9b57-29edb265408e","year":2008},"citing_paper":{"arxiv_id":"2411.13175","last_updated":"2024-11-20T10:18:56Z","snapshot_observed_at":"2026-08-12T16:42:52.329253Z","submitted_at":"2024-11-20T10:18:56Z","title":"High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\\\"odinger-Poisson Problem","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T16:52:53.712903Z"},"links":{"citing_paper":"/paper/2411.13175"},"observation_digest":"sha256:9dd1ba1d321eee637e34135a30d719d5dac42f0cf06ae4f880bf2e24e7a8b4b2","observation_id":"4bee43b2-cd0b-464a-94f0-4064c1483f8d","resolution":{"observed_at":"2026-08-12T16:52:53.893019Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:52:54.321123Z","title":"Chris Bowen, and Dejan Jo vanovic","venue":null,"work_id":"c51dad12-ce2b-4949-b753-082f5bb29044","year":null},"citing_paper":{"arxiv_id":"2411.13175","last_updated":"2024-11-20T10:18:56Z","snapshot_observed_at":"2026-08-12T16:42:52.329253Z","submitted_at":"2024-11-20T10:18:56Z","title":"High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\\\"odinger-Poisson Problem","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T16:52:53.716781Z"},"links":{"citing_paper":"/paper/2411.13175"},"observation_digest":"sha256:1e61c8609715854b99f3122538d731d7bf7491a8fb18c28ba7bf2f03e070c75c","observation_id":"a370f79b-ea92-4798-9fe9-f364eb74d995","resolution":{"observed_at":"2026-08-12T16:52:54.325305Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:52:53.724331Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2411.13175","last_updated":"2024-11-20T10:18:56Z","snapshot_observed_at":"2026-08-12T16:42:52.329253Z","submitted_at":"2024-11-20T10:18:56Z","title":"High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\\\"odinger-Poisson Problem","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T16:52:53.724331Z"},"links":{"citing_paper":"/paper/2411.13175"},"observation_digest":"sha256:0b69c588b45f634951f02424b3ad72b66db68b418a68018d4e4cfc6ddfac7515","observation_id":"9bd4764e-5951-4589-a3b7-7e6803c0a3f9","resolution":{"observed_at":"2026-08-12T16:52:53.724331Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jcp.2013.04.014","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:52:53.860951Z","title":"A new class of central compact schemes with spectral-like resolution I: Linear schemes","venue":null,"work_id":"8ceb3f57-d3f3-4b6e-b144-492cb4850ed5","year":2013},"citing_paper":{"arxiv_id":"2411.13175","last_updated":"2024-11-20T10:18:56Z","snapshot_observed_at":"2026-08-12T16:42:52.329253Z","submitted_at":"2024-11-20T10:18:56Z","title":"High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\\\"odinger-Poisson Problem","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T16:52:53.728286Z"},"links":{"citing_paper":"/paper/2411.13175"},"observation_digest":"sha256:716aef7dc3485c4bd83fc70610c47d5c352dea00631948768e2dda0f877df811","observation_id":"74c10b6b-361e-41c4-af6a-f6d72b17025f","resolution":{"observed_at":"2026-08-12T16:52:53.864870Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"1526.32153","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:52:54.141898Z","title":null,"venue":null,"work_id":"ac450ba0-97ef-4a0a-8a1b-e0fe889124b2","year":1969},"citing_paper":{"arxiv_id":"2411.13175","last_updated":"2024-11-20T10:18:56Z","snapshot_observed_at":"2026-08-12T16:42:52.329253Z","submitted_at":"2024-11-20T10:18:56Z","title":"High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\\\"odinger-Poisson Problem","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T16:52:53.732133Z"},"links":{"citing_paper":"/paper/2411.13175"},"observation_digest":"sha256:42b0b3c8d905b79b4f1ac98e52451d284e5f6f08d82b5b5f6a642ef9708bca99","observation_id":"a8c6935b-00f7-4a16-bbc4-4b6ca9e0f4be","resolution":{"observed_at":"2026-08-12T16:52:54.147624Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jcp.2012.12.009","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:52:53.848249Z","title":"Transient Schr¨ odinger–Poisson simula- tions of a high-frequency resonant tunneling diode oscilla tor","venue":null,"work_id":"c6708742-0109-4cfb-99d2-90761bfc86c8","year":2013},"citing_paper":{"arxiv_id":"2411.13175","last_updated":"2024-11-20T10:18:56Z","snapshot_observed_at":"2026-08-12T16:42:52.329253Z","submitted_at":"2024-11-20T10:18:56Z","title":"High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\\\"odinger-Poisson Problem","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T16:52:53.735926Z"},"links":{"citing_paper":"/paper/2411.13175"},"observation_digest":"sha256:f31273be19be7b7f2645cfa318b122c04ec920b70faa8130e50affed07124b9f","observation_id":"580340a4-2289-48cd-b6ca-5d3bf441ab53","resolution":{"observed_at":"2026-08-12T16:52:53.852536Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:52:54.307598Z","title":"Transient simulations of a resonant tun neling diode","venue":null,"work_id":"fbd1fa66-87f7-4865-bf81-0004f896ec00","year":1987},"citing_paper":{"arxiv_id":"2411.13175","last_updated":"2024-11-20T10:18:56Z","snapshot_observed_at":"2026-08-12T16:42:52.329253Z","submitted_at":"2024-11-20T10:18:56Z","title":"High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\\\"odinger-Poisson Problem","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T16:52:53.739703Z"},"links":{"citing_paper":"/paper/2411.13175"},"observation_digest":"sha256:b72dac8b06d1503e98d0a4c4733e35f59f1873f412b1f73061485dee374dd9b9","observation_id":"a6b36a5b-6320-4fcb-a580-5bfc895a358f","resolution":{"observed_at":"2026-08-12T16:52:54.311444Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:52:53.746773Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2411.13175","last_updated":"2024-11-20T10:18:56Z","snapshot_observed_at":"2026-08-12T16:42:52.329253Z","submitted_at":"2024-11-20T10:18:56Z","title":"High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\\\"odinger-Poisson Problem","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T16:52:53.746773Z"},"links":{"citing_paper":"/paper/2411.13175"},"observation_digest":"sha256:090ad63fcd5b8b966240f7ab99d2f84dd11bd67b953e400c1fcc2b3a0d271770","observation_id":"af048eba-16aa-4bd4-8391-eb6f4835db80","resolution":{"observed_at":"2026-08-12T16:52:53.746773Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:52:53.750540Z","title":"V enugopal, S","venue":null,"work_id":null,"year":1914},"citing_paper":{"arxiv_id":"2411.13175","last_updated":"2024-11-20T10:18:56Z","snapshot_observed_at":"2026-08-12T16:42:52.329253Z","submitted_at":"2024-11-20T10:18:56Z","title":"High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\\\"odinger-Poisson Problem","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T16:52:53.750540Z"},"links":{"citing_paper":"/paper/2411.13175"},"observation_digest":"sha256:a56569ca4a8178a248768433592b9d0a5da4e2dacc93f6c5502ca7d21ed5e2d2","observation_id":"f24bb5be-2205-4ea4-97da-4081c05057f2","resolution":{"observed_at":"2026-08-12T16:52:53.750540Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:52:53.754617Z","title":"Tsu and L","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2411.13175","last_updated":"2024-11-20T10:18:56Z","snapshot_observed_at":"2026-08-12T16:42:52.329253Z","submitted_at":"2024-11-20T10:18:56Z","title":"High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\\\"odinger-Poisson Problem","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T16:52:53.754617Z"},"links":{"citing_paper":"/paper/2411.13175"},"observation_digest":"sha256:1ed6c14d90328e89060bb8e5247d569291d70d94fa16d8bdf716323600deaadd","observation_id":"3c92f593-03b8-498d-8820-a5d046586a08","resolution":{"observed_at":"2026-08-12T16:52:53.754617Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:52:54.293305Z","title":"Room temperature observation of di fferen- tial negative resistance in an AlAs/GaAs/AlAs resonant tunneling diode","venue":null,"work_id":"0a8080dd-df19-45a5-9b56-2edf29db65ca","year":null},"citing_paper":{"arxiv_id":"2411.13175","last_updated":"2024-11-20T10:18:56Z","snapshot_observed_at":"2026-08-12T16:42:52.329253Z","submitted_at":"2024-11-20T10:18:56Z","title":"High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\\\"odinger-Poisson Problem","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T16:52:53.758540Z"},"links":{"citing_paper":"/paper/2411.13175"},"observation_digest":"sha256:9822f0e74f5a9d228124155015ef6251c38991579c5710f9db53109fb1db6bb4","observation_id":"7b095a89-2498-4e53-9515-0a399baf7ead","resolution":{"observed_at":"2026-08-12T16:52:54.298662Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10825-020-01531-4","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:52:53.795233Z","title":"A simple analyt ical model for the resonant tunneling diode based on the transmission peak and scattering effect","venue":null,"work_id":"53afa22d-74b1-44a7-bd6b-1c8c7f442784","year":2020},"citing_paper":{"arxiv_id":"2411.13175","last_updated":"2024-11-20T10:18:56Z","snapshot_observed_at":"2026-08-12T16:42:52.329253Z","submitted_at":"2024-11-20T10:18:56Z","title":"High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\\\"odinger-Poisson Problem","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-12T16:52:53.766499Z"},"links":{"citing_paper":"/paper/2411.13175"},"observation_digest":"sha256:4f3b248f62873ac101d8d32150d3ae97c04ff996648ac5c0b5f7f5a180e55eea","observation_id":"802adc75-59a4-4b08-912c-2ec15fc19a02","resolution":{"observed_at":"2026-08-12T16:52:53.802232Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:52:53.762604Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2411.13175","last_updated":"2024-11-20T10:18:56Z","snapshot_observed_at":"2026-08-12T16:42:52.329253Z","submitted_at":"2024-11-20T10:18:56Z","title":"High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\\\"odinger-Poisson Problem","version":1},"reference_index":1985,"source":"pdf_text","source_observed_at":"2026-08-12T16:52:53.762604Z"},"links":{"citing_paper":"/paper/2411.13175"},"observation_digest":"sha256:defa4ac0db820079859e9c2341e71c37f96fbcb527302bbb47b99a4b0d607472","observation_id":"22945e27-a62e-4399-b37f-ad2f5f20d021","resolution":{"observed_at":"2026-08-12T16:52:53.762604Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:52:53.720553Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2411.13175","last_updated":"2024-11-20T10:18:56Z","snapshot_observed_at":"2026-08-12T16:42:52.329253Z","submitted_at":"2024-11-20T10:18:56Z","title":"High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\\\"odinger-Poisson Problem","version":1},"reference_index":1997,"source":"pdf_text","source_observed_at":"2026-08-12T16:52:53.720553Z"},"links":{"citing_paper":"/paper/2411.13175"},"observation_digest":"sha256:865f0e09ebcb8837add144caa449ff6ec759e7a681d35ca4bd448e43dfc8a113","observation_id":"ff02074f-1a15-435f-bd83-2b1ae257cfde","resolution":{"observed_at":"2026-08-12T16:52:53.720553Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1063/1.1494127","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:52:53.835337Z","title":null,"venue":null,"work_id":"e219e242-db2f-48d1-9540-6064c06993d0","year":null},"citing_paper":{"arxiv_id":"2411.13175","last_updated":"2024-11-20T10:18:56Z","snapshot_observed_at":"2026-08-12T16:42:52.329253Z","submitted_at":"2024-11-20T10:18:56Z","title":"High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\\\"odinger-Poisson Problem","version":1},"reference_index":2002,"source":"pdf_text","source_observed_at":"2026-08-12T16:52:53.742952Z"},"links":{"citing_paper":"/paper/2411.13175"},"observation_digest":"sha256:ffc9900c8fb49dbc3a4535c27983181743cd3c802d4a3a4c933f63d1c8cecd3b","observation_id":"2a6f1a69-0a6d-4123-98b0-8dd48bf852f3","resolution":{"observed_at":"2026-08-12T16:52:53.839615Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.13175","last_updated":"2024-11-20T10:18:56Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-12T16:42:52.329253Z","submitted_at":"2024-11-20T10:18:56Z","title":"High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\\\"odinger-Poisson Problem"},"reference_resolution":{"displayed":23,"state_counts":{"malformed_identifier":1,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":6,"verified_exact":12,"verified_fuzzy":3},"total_outbound_references":23},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2411.13175."}