{"as_of":"2026-08-11T01:55:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:45be579bd0ce4cb1a2716232910c2f53887d3a46dc7222242fd6cf873ca4c122","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":"2026-08-10T06:31:04.303077+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":"2026-08-10T13:37:33.059306Z","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:c420815d656d124d5930a5bfae51533cf5b1c72cf95430c53fba7c9ad18608a1","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:2ef3b179848c9c9267c15473a375b28b4226cb58da778cfab118fa040de7a40c","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":"2026-08-10T13:37:33.059306Z","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:d48df20be845ea9c1b9d9d4ca7aa92ef6ee3029cfb4bb9d5011a2ba1fdf7d663","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":"2026-08-10T13:37:33.059306Z","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":"sha256:1485d0b3f7bd651b22998a5828aa6d2a215942f52bed54eef2bc48169c58d850","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:746e146b6bd31915f04085db8651d34309b4679e061b516965428a9886847c28","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:9157d9a962f8a63346a7fa1e266fa46a163de7c859f4c4155e25d8a12d987b60","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:3549e79e70fe7c62e0358e5ee529edc79dcdd4370b87d331f8482ab79bc78b89","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:23576020aefcde41df7106a48a0ee8ddfae33f3e9ec45a565aeacafe665d078c","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:8022bcbb808c1937d5b1ac4705e5ec375637a44d0585c807ccd02e29bc4ee272","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:52146105f696d402cfa5b98eb0076ebcc02d0a74d004c567c4c4cef063a2c181","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:3bc2657caad5e5fdeeabb28df8376a34a79de4666e9c5141d5d2ec006cf45164","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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:d5584a78b4cad8ce6b4abe3fa645eac49def7fbbf279c2d93d4dd8e64fd70d41","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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:db50aac4d7d55f3e8da4b7886a874316d0d87b545af0c8c376979325bcfc08be","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:3c40ff5b7901c60a20d8c3bef9d0f0ce0084209b16fb799448a6fc5564feca40","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:80024ae24373509fe06f716cc8c209dd15c17f83b7e0dd035a9ccc666f1a0d12","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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:c5740e867ebb09f71eed090534d93609d5911b33da64ac68ce55e2c68e287227","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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:e3b04b73fb77af295057133f741a9c06da4bf750598dc667d151c82a0aa7db25","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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:faa3ba7fd46c4d381d03d9b6fbb7b91eaeb42b9ab8ffcb38c4836224205b8b7d","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:462074ff28120d1e055da0358b5bd022cf884c15f6a3ac12965ec11d72e6410a","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:53f855dd3fcfce4a6b048192da92b13601c3b1124cf5d547d6f4390ee3e1545e","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:746c4040ab9ddedcaed69e42aa81247d60fb3989d5f424e2c4160cdc9943b41b","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:8f8acb59697ba1a22880368a2f92178729dff864b84856dc3473ea91c2730b86","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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:b933b4770fa4acca7b93d108893d288bc45d341f313b26f3015e47d81e88a5ab","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:54acbfc8dad9fce01a8a575d9704c7f7fb8a751c6ea6d38b845f690555139021","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:280fe5996930af5b15bdbb1a5ce5870ed8d565f22d31188ea5ced887fe22472e","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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:e0feb867755d6a12c6cbb06e18ae8e157842a6bbccb16d1d084f99d704cd2add","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:81199f030b534777b71447d1222ab59c0ea9c2172d7b26218fde8c239cb276a5","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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:bebb41c969ed8c76177cdf8768c57e91ec3516253d949204b4ba0031af5991a9","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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:aa6151586fcd69e4520ca32c5ad28a9f75926e66a68b800689ac10b6c17d0bf4","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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:bd5bae5911e8aacb056fdf0da152385a3b2fd2e8912e4c4a54d31a0cf6ca852d","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:89eb4cf58a3c577a94bef74b23ebd442e0ebf04bf55ca85879059f4da575a2c7","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:818d1e14625f2e96fdff3261b5c3432ed90500568f2d99bcb488c3d5304fbf29","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:1e299332de407e6e2d9f6e76f86c812a314a69e6a79d6dff33db3534d35e816c","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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:db399af8afe35a95d6b143b8eb47c55c579ee982331722d88f4648ee7c76e0d9","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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:a71cc2995459214399e271428a687afa36693cf4ec7830964065d07089b24b85","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:281e3166ed47b6ac8bc2b59918d29fc2fdff42d5ed01fa53f56da852eb2e281b","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":"2026-08-10T13:37:33.059306Z","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":"sha256:4a0dad0b07ede68e33f01ddc864fb987a0e4a19bc4c7bd593a2b7480b6c72b42","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":"2026-08-10T13:37:33.059306Z","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":"sha256:9ca0e62f7def907c2ceba1391f0ee5cbad290263050778fc0c53b49c003425cb","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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:c33b8706ac5cb8edfa38fb03d175406675c4a143eea6a40e481283fbbc6df32d","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:47d2bdddd0ed93f1e7a080091d1305d0bbc45197a901e7b10260600fce7512e2","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:0ad31f6425618190d364b2df6946fc88be931e11f79682027ef9e88e84a33a52","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":"2026-08-10T13:37:33.059306Z","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":"sha256:810f0714c9eeaf0a4d66e79e555fff39f8df80c7e5a7a669ed2b95c5ed10f4a6","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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:fd8ac2c61912cc9b7f35829c89bae10f5f6deaccd72800714df5d3ed419dbe29","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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:f0b478dee40e6a5e6b2f5eb8155013c40d6be6f5440ccfc908f958cbc6942c5c","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":"2026-08-10T13:37:33.059306Z","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":"sha256:9d658901bab18550169628cda35d76dff1c3dd3864b345f87b76d5b241bb2191","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":"2026-08-10T13:37:33.059306Z","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":"sha256:5faff966e528b39b646380800ffde4cb6af7a7f4a3ad758f8ff423330f2d6078","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:1f51aea4082db631f1b5321959b37150414a81a945f1fe2b5b7b266776d8663f","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":"2026-08-10T13:37:33.059306Z","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:e961dd8e6689c4d52670c2975b9458814314f1bd31df5d22a2990373ca1756b0","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":"2026-08-10T13:37:33.059306Z","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:ca430141fe9b9cfd6de3a4d4036e22d9c9d76e484b1f2f69e3b2d5d6aee4f124","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:05eae1f8717a62b7eea670e2b9d74307bc9bd167fec769e22cfe2d4f89ccca02","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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:ad9ca6594271a4d764eb0c383c957c77618503cb9023853724559a5d6a1f4050","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:290794ef674ee0971f5c2376388a945408fdd3171af655fa7538888a599b077a","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:7f21cada48dbaa598d8d05e7283ed4ee7d564c94724cf624cd6f879522481852","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:815b8ce1298b4bef4a45fa1e9f77851e2c9bf3c197c0a9b56a7443d2b08ff838","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":"2026-08-10T13:37:33.059306Z","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":"sha256:27f0c5e5be1ce845248f4b0fd821d86685274e1e58357b8b14ca3d8457fd6c5e","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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:fd63bfc9b791b9c454c4f1bb5fc5202b1da8c1e916ec0112b1d4d802847e14cb","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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:c1d8ab86ad7f745e526c1e69a7a890840dce676747d0397a8fb7ff2fd537d217","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":"2026-08-10T13:37:33.059306Z","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":"sha256:8ce888c563ceeac1a7ccbb5fab66206af35d6e116d89bcb38295ba88fb7f717d","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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:e26adfec0cf72b2a6d0027b4c47ce40069badb77211526d39d7ca2f0bc23c209","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1805.12445","last_updated":"2018-05-31T12:51:18Z","snapshot_observed_at":"2026-08-10T06:34:25.480774Z","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":"2026-08-10T13:37:33.059306Z","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":"sha256:44002e5477b714b368f6047b6d6447898a3bd3a09c92459550c9b0cebfd5f2fe","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":"2026-08-10T13:37:33.059306Z","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":"sha256:0c95b7c5d4d468cff7ccc8abb215b3df1c943d04e26d90093680b271164267e2","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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:e9f31203fbbbb092dcdd13ecc05e4701cf5374358e0e1a6bf76b2d3abf0a204b","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":"2026-08-10T19:22:43.292423Z","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":"2026-08-10T13:37:33.059306Z","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:cbccdf87406dceb3c1903bae9fe3ef2cf64e2767e211122b9f7462c743cbd328","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":"2026-08-10T13:37:33.059306Z","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:e6c7ae2b9e7692d24bf4ab59f78d1864eb870816dcf13d1444fc5b90e6924766","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":"2026-08-10T13:37:33.059306Z","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":"sha256:412df9e546c90088e0e74e9a9e975e25cb7897c5c818f5143cbc481fce754c73","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:3f0095b5dc3bb4874dd3647b6aa4ee28903d7e5a58a0a42be0fd92775ab4f095","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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:d368ed9c0dee3562e0c5e8d92ec9184fdda33c6e2aa609684abaa15ff90a1b46","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":"2026-08-10T13:37:33.059306Z","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":"sha256:99d4ca76b7a7f8f67073a6b54d9eb2062f928546496896fb4c5938a64f607ea1","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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:a2efe62df550ecb0565b2baa5171e3d73011dbdaf0a66d10e31a752ec3c5a4c7","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:5df421e9fd9f4262fdf289343d8f4a508eb6b5f7c54756641cafd9ea410fa820","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2310.03011","last_updated":"2025-08-05T00:02:02Z","snapshot_observed_at":"2026-08-10T14:31:23.362389Z","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":"2026-08-10T13:37:33.059306Z","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:a69b7a67aaef18abbc87b4c7b0c33e81a7257a40fdbeaf877333b48e49debe78","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":"2026-08-10T13:37:33.059306Z","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":"sha256:3657353d1eaef2783c92d383b50e855b7ceaa2d637ef4c846f79fcee10e51657","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:857b387617078d1918ecf1cd51b8a75318f1a49ff7c82f675861b5c787127437","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":"2026-08-10T13:37:33.059306Z","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":"sha256:65cf9af499392c55df20eaaacc3db3d208f7bbbe8e3ace754b0e385be7ab6220","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:9541085967c13543c7285d5b80aa1281ba91283d58fb71fe6e83d2a61f10b6b3","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:060575bf039cae558436528fd864aa29a90a06b58d43f1f17f8726eec98456b4","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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:d130aab9bc8929c0615af175bf9538ed5ccde2efc8f4ae8f6725a654c17fceaa","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:596401a27021f5b3e3f0cf1dda8601a4ab3829991f13d317d664ab60caa13be2","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:0c8945ae27011f5aca9d7e5ae85fb9eb3f9ef0b1430097bdd2c7fa80b8798ce2","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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:f4a16d17cc25043de336317356b69d465ec61c2c9e209137230cb572027d4133","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:43309c0f969ceef2e96cfac19a97b0e73c4bbcbdcff8ead384028dfe1a466e85","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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:f2632682d643d1e8060a2bc2a58df4367acba9ba66b39e0cccf4ea326d27a273","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"sha256:9b46d8b35c8d8bc9cff0181e271e9a94c5fdbe6b9cd15f3a84ae5b5e3f3b71c1","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T13:37:33.059306Z","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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 82 of 82 outbound references and 1 inbound Pith citation observation for arXiv:2506.20478."}