{"as_of":"2026-08-07T06:56:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ea8927a50969f54d5d31f610482b45d6b6d4cfc266a7daedfc94d50e91d89c85","coverage":[{"denominator":82,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":82,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T22:59:21.055961Z","state":"measured"},{"denominator":83,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":83,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-28T18:52:01.450666Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-06-28T18:52:30.689933Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"cited_work":{"arxiv_id":"2506.20478","doi":null,"metadata_source":"pith","pith_arxiv_id":"2506.20478","snapshot_observed_at":"2026-06-28T18:52:30.689933Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","venue":"quant-ph","work_id":"bab0246a-abcc-4988-822b-fdca8346f08b","year":2025},"citing_paper":{"arxiv_id":"2606.00581","last_updated":"2026-05-30T07:15:43Z","snapshot_observed_at":"2026-08-02T22:17:31.971849Z","submitted_at":"2026-05-30T07:15:43Z","title":"Analog photonic simulator for large-scale transport","version":1},"reference_index":93,"source":"arxiv_source","source_observed_at":"2026-06-28T18:52:01.450666Z"},"links":{"cited_paper":"/paper/2506.20478","citing_paper":"/paper/2606.00581"},"observation_digest":"sha256:453588104827f3250c060c8d772620f2d9932ee67f81a779e44593bb1837ea9d","observation_id":"245a040e-5d11-47f8-863b-bd90e950967a","resolution":{"observed_at":"2026-06-28T18:52:30.691173Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2506.20478/citation-record","integrity":"/paper/2506.20478/integrity","json":"/paper/2506.20478/citation-record.json","paper":"/paper/2506.20478"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:59:20.740700Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.740700Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:0fb06b0107590c1dbc40c1dfc2edfe314f1939690b01519eaf553cd2253b8c1c","observation_id":"fa51a86d-d9c0-4cfe-a3cf-6f251aa42c71","resolution":{"observed_at":"2026-08-06T22:59:20.740700Z","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":"2026-08-06T22:59:20.745594Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.745594Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:ff9a352a4b5d2a094b437f5cff3c94ac8f5f0f75004509d2ad8bc7595accce97","observation_id":"bb55f8fc-4d7a-4c14-ab54-c93e6f4d85b3","resolution":{"observed_at":"2026-08-06T22:59:20.745594Z","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":"2026-08-06T22:59:21.917358Z","title":null,"venue":null,"work_id":"cb7fa0e2-ff50-4e55-9e9e-b6a6a7a2700d","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.752253Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:3fe35bf95b3a2afd373f2be0f3924257139c6dbc604c1fa5c42a745ecd003b0f","observation_id":"3e742156-9dfa-4a7d-ada2-590cc879508d","resolution":{"observed_at":"2026-08-06T22:59:21.921039Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.908183Z","title":null,"venue":null,"work_id":"c6fa47c9-d262-4f64-a490-646d889a816f","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.758022Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:b2ef458fcc16792b93c523bba6ebb11fc00953f501c3e2fd5f8c4f6e2207f785","observation_id":"6d99836e-7bc4-403a-b3d4-5406a2164b59","resolution":{"observed_at":"2026-08-06T22:59:21.911543Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.899431Z","title":null,"venue":null,"work_id":"4b9021b1-602f-40c9-b8b8-aa6e974dbe6a","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.763448Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:3928adf63a7aea3a8ccbd487e275b1a7fbb1751189a428a2fe13c5889bae918b","observation_id":"6dafd2d4-997a-423c-be51-d5c8f56ecb1d","resolution":{"observed_at":"2026-08-06T22:59:21.902819Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.891160Z","title":null,"venue":null,"work_id":"83e5ee18-b6c5-4705-a625-d82b798d3d6e","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.769143Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:cf29cae9d4840541e82393988e1b70bdca85916373ff010bf5360753422f3f4a","observation_id":"f18bfb2b-e5de-4aa6-aaf3-173f6110c578","resolution":{"observed_at":"2026-08-06T22:59:21.894158Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.882715Z","title":"Applying Thm","venue":null,"work_id":"6d7c515c-5755-4a1d-9774-b961a253e9ad","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.774587Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:9a291027b05e007a8832f79ce6b0751fa1b15ad4705d04b3bb0ca1bc992bf555","observation_id":"b40797e0-5593-4aa4-bff9-439081bb349d","resolution":{"observed_at":"2026-08-06T22:59:21.885651Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.874946Z","title":null,"venue":null,"work_id":"d9d320dd-c0c6-4f8d-91d6-083c1c7416dd","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.781017Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:f87190bb12f04867e4f62c4d2bc5d7b1b787b19592dc9f968f247154cbdd6f83","observation_id":"ea611297-d04b-4106-ac69-90c26102cb41","resolution":{"observed_at":"2026-08-06T22:59:21.877543Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.866896Z","title":"The following equation clarifies the structure of Fig","venue":null,"work_id":"c80e4468-232e-4379-8152-8eb17623eb25","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.786664Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:399ff215760102c7570a714c3081491169cfe0c2361b93151e8d955307385028","observation_id":"eb66602e-2955-4c09-8d32-bea8a006820e","resolution":{"observed_at":"2026-08-06T22:59:21.869702Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.859003Z","title":"Note, we always can include zeros in the set of non-zero elements, so we now use the diagonal sparsity of matrix A smax = κ, see Remark 2","venue":null,"work_id":"70a21be7-51d9-45c5-a8fa-ce79bdf4814b","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.791188Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:813b6eacc842a4d5652e21cf5cbd66631565b948d02b95f997876e8050ab1a00","observation_id":"2d970014-8cba-4700-8b6e-7089d5156df1","resolution":{"observed_at":"2026-08-06T22:59:21.861802Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.850509Z","title":null,"venue":null,"work_id":"8b10c342-a630-4724-8a59-606c40a82720","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.795909Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:7f58ab9f5ff5e2528daba945800ac48f85b4da1ce86cee6eb4aed754f62c2062","observation_id":"09270930-669c-4263-ad45-1b5e4bc060e4","resolution":{"observed_at":"2026-08-06T22:59:21.854089Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.841439Z","title":null,"venue":null,"work_id":"896d7d54-e0b9-49d5-8a17-3ce63e417807","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.800675Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:31294999b49d33c12f3787039adb9f669f1bc2d76a6df4245bd588b86ee0dfbf","observation_id":"1c83098f-5be9-434d-9291-7a600378d573","resolution":{"observed_at":"2026-08-06T22:59:21.845048Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.832541Z","title":null,"venue":null,"work_id":"5815d9f1-1ed4-450b-ba59-6839741369cf","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.805068Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:cdb09257254c895e483b3d47000f9c14a01d50b44a47eacc9ed0ce4c0bee3903","observation_id":"0685f73a-48f2-4dd8-9fd3-c0b4a1742c45","resolution":{"observed_at":"2026-08-06T22:59:21.835552Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.823733Z","title":null,"venue":null,"work_id":"d69959ec-ea6b-455f-8062-d1129ef57193","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.809306Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:a900754d85010ec12f7f53383c5b4ba0c7be2275a04a80d606f8fd7296efe112","observation_id":"29c71d42-0b3e-4b3b-8cfc-84e01f998f6b","resolution":{"observed_at":"2026-08-06T22:59:21.826814Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.813607Z","title":null,"venue":null,"work_id":"332a4653-de9c-4ff0-85be-1d731f8e74d6","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.814313Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:d61a9f0e2d12f3270b831277f306834bf4d0f1257a01e10013fb7107ed244c08","observation_id":"e0bc9fd4-f5a2-425f-8c46-84b371d9c32f","resolution":{"observed_at":"2026-08-06T22:59:21.817002Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.804322Z","title":"Thus, the following theorem summarizes the results of this section","venue":null,"work_id":"60709acd-4ed4-4d1e-8683-12f83583836b","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.818204Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:043f53343982f4595deb1b47133b3a91d5a72716ffae5edd60f3eb0b58abc1c5","observation_id":"86be00a4-ae6c-4f59-89b8-9bbee7a96778","resolution":{"observed_at":"2026-08-06T22:59:21.807871Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.795241Z","title":null,"venue":null,"work_id":"4fcae8b1-cfd7-40a6-b3f6-532457c94277","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.821537Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:65263b161377c4b6b32a2aa6845abbf5048867b2d5f0ae8f9f1f7b914779843e","observation_id":"e50ca9cf-2415-40b8-80df-5e8c23a39dcf","resolution":{"observed_at":"2026-08-06T22:59:21.798758Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.785719Z","title":null,"venue":null,"work_id":"98b29c52-4cad-403d-9eef-2decc131fba1","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.824825Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:96320f278709aef6a8a5d29052f1448bac9ab7560e5f222bd402ef826e4b61c5","observation_id":"9e79e932-9cc7-4aba-a7f2-5ed8b04186eb","resolution":{"observed_at":"2026-08-06T22:59:21.788732Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.776703Z","title":"Block-encoding for d-D Hamiltonian Let us now consider the rest part of the Eq","venue":null,"work_id":"2fbb547d-61c4-4583-a39f-553b9afc2a25","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.829128Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:2a9c308e4a3b7a1a6174420e158a664f2c5768e61f78be4d9b27ab04553462c4","observation_id":"e41ba426-06f8-4934-82b4-2ffedebcce3f","resolution":{"observed_at":"2026-08-06T22:59:21.780039Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.766653Z","title":null,"venue":null,"work_id":"28f35c86-276c-4949-a568-f1767fa0d829","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.832920Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:845f30de5e1b600317acca219bd1dbf4e0052170c320f98bf7dc36b2d0ab8fcd","observation_id":"5083823e-47b6-45a3-8015-0fb4422b3393","resolution":{"observed_at":"2026-08-06T22:59:21.770318Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.757921Z","title":"The key notations are given in Table IV","venue":null,"work_id":"7ff3de6a-6560-461b-ac3b-ce6f49971636","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.836195Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:21f5fe6386c39999129baac539e128ca533d74cc2ebb30a45a28b2eba71c84a5","observation_id":"cec088b0-a7a5-42cc-a6a6-18a3763efcfa","resolution":{"observed_at":"2026-08-06T22:59:21.761411Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.749453Z","title":null,"venue":null,"work_id":"c0279c9b-b16b-4563-833a-71c01ee4d00e","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.839698Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:08fee9cc3d09177e068fba5e8e44deb5ed36e4fb7c41e552fd872b3beb68417a","observation_id":"dc5803de-9552-4789-905e-d1a188097e7f","resolution":{"observed_at":"2026-08-06T22:59:21.752600Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.740289Z","title":null,"venue":null,"work_id":"7658f262-c676-4f45-b79a-3f9c4b5529ac","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.843512Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:787f06292a0552ea27382a7d2ad32ba8293866ed7df89c2e699f14cdf4a7aa28","observation_id":"1e165139-9d2e-45e7-943f-0e8b2dfe5bae","resolution":{"observed_at":"2026-08-06T22:59:21.743892Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.731547Z","title":null,"venue":null,"work_id":"f97b98ae-d7f3-4545-afef-4ca8e168bd33","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.846873Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:d3615026de32b090ecdc91e5ffc9ce49396411155c5c7415b130756895f6f0da","observation_id":"19991be0-42a6-4a7b-bf1f-c9119d77825d","resolution":{"observed_at":"2026-08-06T22:59:21.734799Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.722025Z","title":null,"venue":null,"work_id":"984732a0-c289-40f7-8bea-1fa59c98f8cb","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.850029Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:10b9622aec53a2a57fe8dd50a119207230b77af06c664aa3e37003fade88afb1","observation_id":"8b1bc994-fb8f-4e79-ab88-89968ceda671","resolution":{"observed_at":"2026-08-06T22:59:21.725983Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.712391Z","title":"Ω(αt, ϵ) is implicitly defined through inequality for the truncation parameter g ≥ Ω(αt, ϵ) 1.07√g αet 2g g ≤ ϵ","venue":null,"work_id":"3bd91de1-bcd7-427d-807f-a8bfdbb38b46","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.853630Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:7803e7d8ecdc015817e58d1864d7098d9b9164aab7efeb8afed5bd1f62b9d573","observation_id":"caca13df-09cf-4a2c-85a1-a1e7d30f659c","resolution":{"observed_at":"2026-08-06T22:59:21.715973Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.703693Z","title":null,"venue":null,"work_id":"f2a5a07f-ec7d-444a-9df6-e3e77832ed42","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.856717Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:fea4f9e2947ff5a51b5348757a474ff94226736f69890c1a2d4be3d331095f88","observation_id":"9a553bac-efcc-4fb2-988d-d4892ed6d85a","resolution":{"observed_at":"2026-08-06T22:59:21.706980Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.694735Z","title":null,"venue":null,"work_id":"3c6af4c5-e345-406f-830d-51330c4deb0f","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.859889Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:f15011f7cfb3f23478d57ddb79b7a2557f5d4396dab3042692294fd283ca18eb","observation_id":"3c1adf80-5004-4b8e-845f-a717f22875b9","resolution":{"observed_at":"2026-08-06T22:59:21.698111Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.685799Z","title":null,"venue":null,"work_id":"c86db611-5430-4c10-9fc3-6e1656739c11","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.863905Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:7d382c031c6e7d3ad2e88fa9ac2eaf28abc807ec36dc01c26795369f3b94163e","observation_id":"eafbc91d-9d4c-425a-9149-57eb2ddf658b","resolution":{"observed_at":"2026-08-06T22:59:21.688955Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.676619Z","title":null,"venue":null,"work_id":"e708606d-eede-4250-b327-090a5909c6fd","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.867251Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:4a64845e2fa3307b46ae6aa1bf22c381c4da10a71195d861d7e19b55c507aa28","observation_id":"831d22ae-13df-4d73-9e2b-603949e9a4ba","resolution":{"observed_at":"2026-08-06T22:59:21.679679Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.667364Z","title":"Guseynov, X","venue":null,"work_id":"9ae1fbd8-6c56-4a53-9135-bd6afe476bb2","year":2025},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.871226Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:8559feb2c9e2a324d8b5e1a35d9ed821df20e0ca2a5d6622571fbde11bda8701","observation_id":"7037bae7-67fe-4df1-8dcd-3e8ac06b6833","resolution":{"observed_at":"2026-08-06T22:59:21.670512Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.657743Z","title":null,"venue":null,"work_id":"dce8b18a-9658-4af6-938c-38ca5e350612","year":2022},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.874410Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:0e51e48ee02f3d72aa2856b3daef2799a7dfbb28a2cacbf486018f4c4ae21c91","observation_id":"7394576a-2ca6-48a1-a0c7-c03e8354196b","resolution":{"observed_at":"2026-08-06T22:59:21.661736Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.648812Z","title":"Pour-El and I","venue":null,"work_id":"d436f5a8-9410-430a-8796-532817bfde37","year":1982},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.877810Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:a45b388919c9734627cf3e77b52e3b8b75f8753757f31d943c4a3b115f745ecd","observation_id":"1df9015c-b2da-4a76-8af0-30694f2f3717","resolution":{"observed_at":"2026-08-06T22:59:21.652149Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.639564Z","title":null,"venue":null,"work_id":"45623fe3-2d4b-422b-9d5b-d53c2a9144d0","year":2000},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.881780Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:a4a4efc9fbec84f1d396487490b231359259f0b5c5ab3168626ba8f6740c44c3","observation_id":"ab985942-83f3-43a4-b4e6-8a478c4b5bfa","resolution":{"observed_at":"2026-08-06T22:59:21.642563Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:20.884866Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.884866Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:7d8bd590c7a0e658999e06ec90afc8dfac08990742c82c7585f11410ab639855","observation_id":"423d158a-78a9-4371-ad2c-2cdd5b985490","resolution":{"observed_at":"2026-08-06T22:59:20.884866Z","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":"2026-08-06T22:59:20.889346Z","title":"Gaitan, Finding flows of a navier–stokes fluid through quantum computing, npj Quantum Information 6, 61 (2020)","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.889346Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:78543195f8646838ef68ac9448e396b26651ff63e57c94be5d56f4dd6ab4a2a1","observation_id":"8c6f3dff-42d8-4660-99b4-f8313c1e5a74","resolution":{"observed_at":"2026-08-06T22:59:20.889346Z","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":"2026-08-06T22:59:21.619848Z","title":null,"venue":null,"work_id":"35c894c8-6b10-43ae-922f-4b888f190b87","year":2023},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.893560Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:32fa8176b8fbf0fafdc7d5aa1ee268ed74a29829a4aab1f8e8f8b97b98de836f","observation_id":"3e4e1a84-4f99-4bc2-9d39-ac743e3f1e22","resolution":{"observed_at":"2026-08-06T22:59:21.623580Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.610304Z","title":"Linden, A","venue":null,"work_id":"ae66eb50-e3d8-4def-abfc-0246e7c9b207","year":2022},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.897166Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:d3dd9ed0ec950e914dd5b3eecec041de7e69caaa59898632f5cc4c0e3bf15c97","observation_id":"37fc790c-0b4a-4b3a-b937-483feb5511d7","resolution":{"observed_at":"2026-08-06T22:59:21.613922Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.18398","last_updated":"2024-09-08T01:47:44Z","snapshot_observed_at":"2026-07-06T17:36:52.920342Z","submitted_at":"2024-02-28T15:17:41Z","title":"Hamiltonian simulation for hyperbolic partial differential equations by scalable quantum circuits","version":2},"cited_work":{"arxiv_id":"2402.18398","doi":null,"metadata_source":"pith","pith_arxiv_id":"2402.18398","snapshot_observed_at":"2026-08-06T22:59:21.288305Z","title":"Hamiltonian simulation for hyperbolic partial differential equations by scalable quantum circuits","venue":"quant-ph","work_id":"49d85c5c-ad03-40b0-ae2b-dd1df71de38b","year":2024},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.901126Z"},"links":{"cited_paper":"/paper/2402.18398","citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:277098e65fc24cc58a4760ca1b8c5509c6da40dc3241ba193231d505cbbf891f","observation_id":"15ee762c-95bd-4660-afed-3f0f72da5681","resolution":{"observed_at":"2026-08-06T22:59:21.291911Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:20.904692Z","title":"Stamatopoulos, D","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.904692Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:ed69afa10a0086c9cc6b73f7682843aad8de8389abe6a906addc1737f4a41476","observation_id":"f09cce0c-7f94-469b-a397-3bb9ab3f3539","resolution":{"observed_at":"2026-08-06T22:59:20.904692Z","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":"2026-08-06T22:59:21.596456Z","title":"Gonzalez-Conde, ´A","venue":null,"work_id":"9e8cea27-b980-4a2a-8a84-317b16b41455","year":2023},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.907776Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:b10a267555f667d0517abe0e76d9e17c597f19e182b005f4a49d0b5f007a70b1","observation_id":"f87ef763-00f3-42d4-aacb-5b14151fbe13","resolution":{"observed_at":"2026-08-06T22:59:21.599375Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.587919Z","title":null,"venue":null,"work_id":"3ba75415-796c-41d5-8479-90ebf86a61dc","year":1996},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.912009Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:fe5906978deec51a4260d958260033f98919e0527ed4f024dab09ab9934fc76e","observation_id":"db108ae7-8870-4563-ab54-a655ecbdfa1f","resolution":{"observed_at":"2026-08-06T22:59:21.590880Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:20.915181Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.915181Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:4dc85fcfe22a6a86048e2f8910d89f7ef3ff7cd02d8105a710e9832fe62d6e19","observation_id":"51d1914c-5d8f-443f-b783-473199753f52","resolution":{"observed_at":"2026-08-06T22:59:20.915181Z","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":"2026-08-06T22:59:20.918290Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.918290Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:0b16aac15471bbaa0eec8951ab83a0fca06245102a47e3503738a1dc6ab777f5","observation_id":"c2f00eb9-8e4f-460e-98ea-740a7f108c6f","resolution":{"observed_at":"2026-08-06T22:59:20.918290Z","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":"2026-08-06T22:59:21.562810Z","title":null,"venue":null,"work_id":"280e267c-e554-4702-975f-9afabb625cec","year":2015},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.922226Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:9e6d7713e24d684c3f28effa9b55a2bb95efbfaa552b1d882cf89be3b6d7bbcc","observation_id":"df92317c-aefc-4d95-bc02-bdf32f697508","resolution":{"observed_at":"2026-08-06T22:59:21.565999Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:20.925390Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.925390Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:b767e623feafe33c4f8fc1be4110a1d63e61267cd3674e8106f3f1cc16fa674b","observation_id":"f8c2bb6f-c075-47a6-949e-beb19a24065f","resolution":{"observed_at":"2026-08-06T22:59:20.925390Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0505030","last_updated":"2005-08-23T01:12:00Z","snapshot_observed_at":"2026-07-07T07:19:07.719177Z","submitted_at":"2005-05-06T00:55:45Z","title":"The Solovay-Kitaev algorithm","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0505030","snapshot_observed_at":"2026-08-06T22:59:20.928507Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.928507Z"},"links":{"cited_paper":"/paper/quant-ph/0505030","citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:60b2f62906ffc9de852f74f2553b90b377853e76066af2907928b668f3ff62d5","observation_id":"3e192e5e-6d24-4012-86a6-0af04035c61b","resolution":{"observed_at":"2026-08-06T22:59:20.928507Z","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":"2026-08-06T22:59:21.537909Z","title":null,"venue":null,"work_id":"05440f42-0ff8-4a65-bcaf-9e55975bfb47","year":2023},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.939794Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:42d38bbc6acc39bd3d14bdd41054d16b476374866a931b0fbd1b6da128d0adb6","observation_id":"6196f49b-a507-49a2-b114-0d31e804bd89","resolution":{"observed_at":"2026-08-06T22:59:21.540996Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.528717Z","title":"Jin and N","venue":null,"work_id":"efca5f5c-8626-4385-9b45-ec98f7113a73","year":2024},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.942674Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:7ceeba3c07b5e2e868b22c498237fb1c6f474375c7d7756636976a9d3638a839","observation_id":"e79a59e3-e6d1-49fd-a1ec-29ffe7af903f","resolution":{"observed_at":"2026-08-06T22:59:21.531827Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.518942Z","title":null,"venue":null,"work_id":"bd5eecfc-2455-40b2-ac2e-23276ea7d609","year":2023},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.945638Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:64740957cc5aa24dd386316ccd05e80ffa13ed2f32631b0a1b3218cc601b4a5e","observation_id":"705ec565-2d12-472b-8a8b-8d949ce629bd","resolution":{"observed_at":"2026-08-06T22:59:21.522166Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.509638Z","title":"Jin and N","venue":null,"work_id":"a4ec4282-502b-4041-ad09-c10f5500af82","year":2024},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.948718Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:ab278a9fbd2bd75afdbdfbf9e69d63a76165bd1e54f2d5725fce9a2ecdf3ad92","observation_id":"af33b848-daa1-433e-bd0f-801223a23b2d","resolution":{"observed_at":"2026-08-06T22:59:21.512756Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.03180","last_updated":"2026-06-10T08:10:30Z","snapshot_observed_at":"2026-08-04T04:51:36.774610Z","submitted_at":"2024-11-05T15:26:44Z","title":"Unifying framework for quantum simulation algorithms for time-dependent Hamiltonian dynamics","version":2},"cited_work":{"arxiv_id":"2411.03180","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.03180","snapshot_observed_at":"2026-08-06T22:59:21.265137Z","title":"Unifying framework for quantum simulation algorithms for time-dependent Hamiltonian dynamics","venue":"quant-ph","work_id":"be519231-cf8b-437a-b921-bf6a3b041444","year":2024},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.951955Z"},"links":{"cited_paper":"/paper/2411.03180","citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:e368acc37aaa9c9a3fec31e7497ce729668eedba89be32d2ae7574ba95170ec9","observation_id":"1b3e6dcc-e183-4c75-88b9-3e9fdbe12c43","resolution":{"observed_at":"2026-08-06T22:59:21.270262Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:20.956037Z","title":"Gily´ en, Y","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.956037Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:10870f6f14db7d083cfb807de9989657d6a7a98a65e6e3ba1a1fa8f2434c7235","observation_id":"6f1da34a-a98e-4862-8eeb-af39b8308fb9","resolution":{"observed_at":"2026-08-06T22:59:20.956037Z","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":"2026-08-06T22:59:21.493869Z","title":null,"venue":null,"work_id":"9a515556-96ad-410d-a00f-84accc922f06","year":2017},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.959920Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:b0a62a23eafa4584b67af8713834d764792fbfc9e8dba59b2cb313be24a75101","observation_id":"b66dcca8-c6ca-4d8c-abc6-6fa2287039e7","resolution":{"observed_at":"2026-08-06T22:59:21.497961Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.484642Z","title":null,"venue":null,"work_id":"99884a79-4533-4b6b-beca-2fdc59074ab4","year":2007},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.962815Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:b3b5574bcba484bf128d0bdb931638bd50089050999b2b3e32720e7806eec120","observation_id":"4d34896e-1986-4667-858e-69b5d2335696","resolution":{"observed_at":"2026-08-06T22:59:21.487913Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:20.966508Z","title":"Kharazi, A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.966508Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:73ccdabf7664531d4e8739f38898bc5aaebf053f806673516e86100fd7432144","observation_id":"e19f39d9-3f75-4f7a-8e3f-ec3b51f25789","resolution":{"observed_at":"2026-08-06T22:59:20.966508Z","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":"2026-08-06T22:59:21.468692Z","title":null,"venue":null,"work_id":"6fba3287-ce82-478f-9453-8f3f53857b9d","year":2014},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.969559Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:3eb8ec76d3a4adc5a31f913deea0e087a6305fcbbf5d4d16cc9837e241a6320a","observation_id":"33fec174-a62f-46ab-a160-554df6e1840b","resolution":{"observed_at":"2026-08-06T22:59:21.472488Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.459984Z","title":"Mu˜ noz-Coreas and H","venue":null,"work_id":"c4e63cb9-85e7-4c19-a4cf-b1b0bc291ce9","year":2018},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.972643Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:f9030661790cc7b6b8ca9300ff4072c43dc3341b68a6da209d64d434db9fed59","observation_id":"f986134b-e685-481d-8917-e91f97816087","resolution":{"observed_at":"2026-08-06T22:59:21.462967Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1805.12445","last_updated":"2018-05-31T12:51:18Z","snapshot_observed_at":"2026-07-06T06:42:15.167440Z","submitted_at":"2018-05-31T12:51:18Z","title":"Optimizing Quantum Circuits for Arithmetic","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1805.12445","snapshot_observed_at":"2026-08-06T22:59:20.975809Z","title":"H¨ aner, M","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.975809Z"},"links":{"cited_paper":"/paper/1805.12445","citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:49f1f4543c9c7aa2d9fcb975e7a9aab129a209b2b6833fe08e2de7378976ea76","observation_id":"d7ace290-0a0c-4cff-b912-36a21987fa24","resolution":{"observed_at":"2026-08-06T22:59:20.975809Z","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":"2026-08-06T22:59:21.449597Z","title":null,"venue":null,"work_id":"b2c3f2dc-0803-4b08-9681-c2a51512aadd","year":2024},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.979128Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:28269382a73550ea8e30f87bdf50be77836be86249b674ef863aaaf6ec9b0377","observation_id":"fb241c01-bf87-4fbc-8194-cc97dfaaf23a","resolution":{"observed_at":"2026-08-06T22:59:21.453608Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:20.982565Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.982565Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:409419363ac41eb66c3370dd56bb3f25ed25a8b84b808dafd392d4288c48db78","observation_id":"4cff5890-c158-40a4-88bd-bf3b64d1b42e","resolution":{"observed_at":"2026-08-06T22:59:20.982565Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.14696","last_updated":"2025-04-14T09:35:52Z","snapshot_observed_at":"2026-07-06T17:34:07.737296Z","submitted_at":"2024-02-22T16:49:59Z","title":"On Schr\\\"odingerization based quantum algorithms for linear dynamical systems with inhomogeneous terms","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.14696","snapshot_observed_at":"2026-08-06T22:59:20.985569Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.985569Z"},"links":{"cited_paper":"/paper/2402.14696","citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:ab8266f6338c656cdd6d58cccb4888416d452fa129c55d40cc5f1c22fa7813ca","observation_id":"5ef701ab-c0ce-481e-9450-009423cdab11","resolution":{"observed_at":"2026-08-06T22:59:20.985569Z","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":"2026-08-06T22:59:20.989739Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.989739Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:459ad2b0b0e3e45e3f8e740abea294016b1cc486cf40d12f6c517bfdfed5f094","observation_id":"aa7585de-33ba-4f82-959b-2d2027160869","resolution":{"observed_at":"2026-08-06T22:59:20.989739Z","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":"2026-08-06T22:59:21.433139Z","title":null,"venue":null,"work_id":"22f4063b-d8a7-438d-9c19-c3ef374ef7ac","year":2005},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.993380Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:6cbd884aacc30a4ba28cb5c386f2039f621af9d79d181f9398fce10d9d3f523f","observation_id":"d439c0a9-791f-4656-a0eb-b7ef56a3165f","resolution":{"observed_at":"2026-08-06T22:59:21.437239Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.423418Z","title":null,"venue":null,"work_id":"79ba0b80-5ae0-4bc4-adf0-6485997afadb","year":2017},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:20.996985Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:60a0f146e821618138ff572d298194f69427baf4b4dd44a8f5f4a08d3b25a208","observation_id":"73c38ea9-2b11-42a6-9b7f-1bf6bff492d5","resolution":{"observed_at":"2026-08-06T22:59:21.426951Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.000103Z","title":"Guseynov and N","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:21.000103Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:fbdd2c1ff4d6b2362682239d048ffc5b8da9f11bab15d468f45a99a318b9af56","observation_id":"488e0115-5414-40cc-bb15-dadb34fe526d","resolution":{"observed_at":"2026-08-06T22:59:21.000103Z","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":"2026-08-06T22:59:21.414358Z","title":"Shukla and P","venue":null,"work_id":"564fa751-501b-4609-b275-75cb481a5c6d","year":2024},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:21.003663Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:fb94167a8f63a5e5785953cf4953aad8dda13c11ceaf6dc96ae70e65c2dea759","observation_id":"9c891cfd-752f-4fd6-953c-ad50b70595e2","resolution":{"observed_at":"2026-08-06T22:59:21.417544Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.405301Z","title":null,"venue":null,"work_id":"dd32913e-02fb-49b2-bcc5-021c61167a4f","year":2022},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:21.006759Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:f4c1baf84c6b005cd5fdbf0a01c6cb01be84662c90f128970d47beff0caa7161","observation_id":"41feab01-b230-4252-aacf-85394ace67ab","resolution":{"observed_at":"2026-08-06T22:59:21.408618Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.396413Z","title":"Samek, G","venue":null,"work_id":"354d6cff-1a48-4fb2-aaee-1e45c205c85e","year":2021},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:21.010010Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:82280dc909d954210b49173be24413d34b89a98f20e5a963aef1d4c47f791b92","observation_id":"b7fc0556-ad2e-4928-ba30-c9ec05703cff","resolution":{"observed_at":"2026-08-06T22:59:21.399418Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2310.03011","last_updated":"2025-08-05T00:02:02Z","snapshot_observed_at":"2026-07-06T16:27:47.445841Z","submitted_at":"2023-10-04T17:53:55Z","title":"Quantum algorithms: A survey of applications and end-to-end complexities","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.03011","snapshot_observed_at":"2026-08-06T22:59:21.013028Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:21.013028Z"},"links":{"cited_paper":"/paper/2310.03011","citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:caeb72abd8d79a9aad3c0e10cc2729c8f5c165a6c4b059343a549a0021d99c69","observation_id":"7d673a97-8d6a-467a-833e-4f5322a2c9e3","resolution":{"observed_at":"2026-08-06T22:59:21.013028Z","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":"2026-08-06T22:59:21.386766Z","title":null,"venue":null,"work_id":"b23dc800-5413-4a60-941d-c981d8e0794e","year":2018},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:21.016222Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:9e9958f7f05fb69599f8ca9d4633bcb0f1fb5f62c7fbd0bff50aeae1569443f0","observation_id":"b2ad8a1b-dbc1-4469-9fc3-25402da786b1","resolution":{"observed_at":"2026-08-06T22:59:21.389755Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.019483Z","title":"Huang, R","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:21.019483Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:39d0659ac63e6813889ac567fae707f8c4668ad803cffbd79bba754fb9f9dd25","observation_id":"b61e29a3-398a-4e8c-b420-fc6108776103","resolution":{"observed_at":"2026-08-06T22:59:21.019483Z","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":"2026-08-06T22:59:21.372243Z","title":null,"venue":null,"work_id":"59e23fc0-084a-4f42-bbec-30783b800ad3","year":2021},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:21.022964Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:1c6eb2a2747e404c16c07449b808a37c0c7e33f4e32274c13f9d7c124f90b907","observation_id":"605c030d-9446-423e-9c16-7f815974a91e","resolution":{"observed_at":"2026-08-06T22:59:21.375387Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.363300Z","title":null,"venue":null,"work_id":"efd96745-6df2-4a65-acf5-f98c76148b1e","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:21.026601Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:5011234fa5cead9282d485c9a9e0284a3c6a8993ef3f4baaca1790d8368b2e9a","observation_id":"da98fc74-9433-4f25-b2cd-5fbe07d9848e","resolution":{"observed_at":"2026-08-06T22:59:21.366472Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.353840Z","title":"Huang and N","venue":null,"work_id":"31f4ca40-007a-4fc7-9693-bc1ed454add1","year":2025},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:21.030420Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:5f4326b51d77d08ff17b82be2540eba02fe1b6fac6d5b82bd477ad4df8000002","observation_id":"23913a97-112b-4904-ba71-cc774548a750","resolution":{"observed_at":"2026-08-06T22:59:21.357893Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.547414Z","title":null,"venue":null,"work_id":"7865f325-56be-4bdb-a2ea-57465394a964","year":2024},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:21.033787Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:5a7e40ec7eafa55764ee3ea859b43395ab6844db27cb2387311cdf3d9b8adfe2","observation_id":"8405a935-2be0-421d-bee1-3ee00476209b","resolution":{"observed_at":"2026-08-06T22:59:21.551021Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.344503Z","title":"Gautschi, Numerical analysis (Springer Science & Business Media, 2011)","venue":null,"work_id":"ddc983b0-0349-4ad9-8f31-313ef430a8f8","year":2011},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:21.037192Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:927280628516bd5f7ab7c5b6259e531eafbb85395ed3faf352fae17a3d1a3453","observation_id":"0493792b-fca0-4af9-bbff-286cfeec3b1a","resolution":{"observed_at":"2026-08-06T22:59:21.347775Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.335450Z","title":"Kress, Numerical analysis, Vol","venue":null,"work_id":"39add679-c6e6-4cb8-8d5c-53ed13c555ac","year":2012},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:21.041126Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:5628a70da66c551388df171bc63c42403e3749b277d1c662702be6e36d5ab221","observation_id":"800d46cb-82f3-4946-a785-10c13388aa2d","resolution":{"observed_at":"2026-08-06T22:59:21.338611Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.325879Z","title":"Saad, Iterative methods for sparse linear systems (SIAM, 2003)","venue":null,"work_id":"551daec1-1c2a-4841-869c-95d2923470fc","year":2003},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:21.044926Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:457f334a6d951154df88000d905b106b78f12a7e13e0efe7945745bcd3409958","observation_id":"ca6c4a8a-9bca-42a5-a1e7-937e13a62078","resolution":{"observed_at":"2026-08-06T22:59:21.329521Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.317041Z","title":null,"venue":null,"work_id":"de2e62d9-3985-4e5d-a960-475519efe961","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:21.049005Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:4037adebd608bf141b91d61e96ac966cd9b055ca9ef3b9959388a5c804a5d01f","observation_id":"10861363-7cc7-4442-b882-9cf64a01104c","resolution":{"observed_at":"2026-08-06T22:59:21.320198Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.307881Z","title":null,"venue":null,"work_id":"ab0eadad-4927-47ba-95a1-c63c81e0ab4f","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:21.052311Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:b6b4c8225ae9f161ebd22a6172e981829d2e1a68c54e1ae82ed4a1394e0223d2","observation_id":"d6db0da0-ce41-47e3-b5f7-1ab33f4110dc","resolution":{"observed_at":"2026-08-06T22:59:21.310914Z","resolver_source":"raw_fallback","status":"parse_uncertain"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T22:59:21.297958Z","title":null,"venue":null,"work_id":"6372e6b8-ebc6-4eea-b19e-d6eb66565a47","year":null},"citing_paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions","version":2},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-06T22:59:21.055961Z"},"links":{"citing_paper":"/paper/2506.20478"},"observation_digest":"sha256:704d3c02dfb90c1297f1e34f583ceb18d9ca98970b8c88ec5b252e010e5cf1e0","observation_id":"5a52b22a-06a1-43b7-92e2-5916bb465a71","resolution":{"observed_at":"2026-08-06T22:59:21.301946Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.20478","last_updated":"2025-07-18T07:09:34Z","latest_version":2,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-06T23:56:11.285427Z","submitted_at":"2025-06-25T14:23:38Z","title":"Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions"},"reference_resolution":{"displayed":82,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":1,"unresolved":59,"verified_exact":2,"verified_fuzzy":20},"total_outbound_references":82},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 82 of 82 outbound references and 1 inbound Pith citation observation for arXiv:2506.20478."}