{"as_of":"2026-08-23T15:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6416d1032e30b645e237c0cd2eefb24db522981f787bd0b4f03d3ab14bd82870","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":9,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":9,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-23T06:30:58.430688+00:00","state":"measured"},{"denominator":9,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":9,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T22:41:40.269535Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-05T03:00:38.745158Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2403.19512","last_updated":"2025-07-04T08:35:56Z","snapshot_observed_at":"2026-08-16T14:05:28.878973Z","submitted_at":"2024-03-28T15:44:20Z","title":"Quantum Realization of the Finite Element Method","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.19512","snapshot_observed_at":"2026-08-15T22:41:40.269535Z","title":"Deiml and D","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.06866","last_updated":"2026-06-18T17:08:54Z","snapshot_observed_at":"2026-08-18T13:55:09.280222Z","submitted_at":"2025-05-11T06:32:07Z","title":"Quantum preconditioning method for finite difference discretizations of the Poisson equation via Schr\\\"odingerization","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T22:41:40.269535Z"},"links":{"cited_paper":"/paper/2403.19512","citing_paper":"/paper/2505.06866"},"observation_digest":"sha256:ceb00a49e9eb817a6dfe8548d71c5ac2eeabcde63e43e584a7d73365653f3f3e","observation_id":"04f460bb-0d14-4920-8a84-abc3b1961bb8","resolution":{"observed_at":"2026-08-15T22:41:40.269535Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.19512","last_updated":"2025-07-04T08:35:56Z","snapshot_observed_at":"2026-08-16T14:05:28.878973Z","submitted_at":"2024-03-28T15:44:20Z","title":"Quantum Realization of the Finite Element Method","version":4},"cited_work":{"arxiv_id":"2403.19512","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2403.19512","snapshot_observed_at":"2026-07-05T03:00:38.745158Z","title":"Deiml and D","venue":null,"work_id":"33a07bf4-b8d9-4451-a281-2ed0f0fdb41c","year":2025},"citing_paper":{"arxiv_id":"2508.07125","last_updated":"2026-03-05T07:32:58Z","snapshot_observed_at":"2026-08-14T20:28:47.593566Z","submitted_at":"2025-08-10T00:17:09Z","title":"Block encoding the 3D heterogeneous Poisson equation with application to fracture flow","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-19T00:26:55.050149Z"},"links":{"cited_paper":"/paper/2403.19512","citing_paper":"/paper/2508.07125"},"observation_digest":"sha256:fd3d10632dd1783f8eea9c5bc9d59c4941221884e6c9075648b11ee7ac4b237a","observation_id":"4dc3fa52-f205-417d-9a70-6d564aa9b8f9","resolution":{"observed_at":"2026-05-19T00:31:56.994424Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.19512","last_updated":"2025-07-04T08:35:56Z","snapshot_observed_at":"2026-08-16T14:05:28.878973Z","submitted_at":"2024-03-28T15:44:20Z","title":"Quantum Realization of the Finite Element Method","version":4},"cited_work":{"arxiv_id":"2403.19512","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2403.19512","snapshot_observed_at":"2026-07-05T03:00:38.745158Z","title":"Deiml and D","venue":null,"work_id":"33a07bf4-b8d9-4451-a281-2ed0f0fdb41c","year":2025},"citing_paper":{"arxiv_id":"2508.13510","last_updated":"2026-04-11T08:19:49Z","snapshot_observed_at":"2026-08-13T02:06:57.379848Z","submitted_at":"2025-08-19T04:48:45Z","title":"Schr\\\"odingerization for quantum linear systems problems with near-optimal dependence on matrix queries","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-18T23:15:20.069305Z"},"links":{"cited_paper":"/paper/2403.19512","citing_paper":"/paper/2508.13510"},"observation_digest":"sha256:2fa780363342ec33ccee6a48fd43e6886365b1c55ddf1ebba7eb08e1bfb2a1b3","observation_id":"9e108cb9-fabc-45fc-a9d6-3fdafc94cf0b","resolution":{"observed_at":"2026-05-18T23:16:53.875334Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.19512","last_updated":"2025-07-04T08:35:56Z","snapshot_observed_at":"2026-08-16T14:05:28.878973Z","submitted_at":"2024-03-28T15:44:20Z","title":"Quantum Realization of the Finite Element Method","version":4},"cited_work":{"arxiv_id":"2403.19512","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2403.19512","snapshot_observed_at":"2026-07-05T03:00:38.745158Z","title":"Deiml and D","venue":null,"work_id":"33a07bf4-b8d9-4451-a281-2ed0f0fdb41c","year":2025},"citing_paper":{"arxiv_id":"2604.20512","last_updated":"2026-06-20T06:56:14Z","snapshot_observed_at":"2026-08-16T17:49:11.973563Z","submitted_at":"2026-04-22T12:54:50Z","title":"Nonisothermal global-pressure exactness in fractured multiphase flow with aperture feedback","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-05T02:56:38.649824Z"},"links":{"cited_paper":"/paper/2403.19512","citing_paper":"/paper/2604.20512"},"observation_digest":"sha256:06aa69c4ffae623e1c97cf0161ac8e663bd602c31760d278fea9cd86639ebde6","observation_id":"b822a866-e8d7-4e07-a439-0bd423ede1da","resolution":{"observed_at":"2026-07-05T03:00:38.746982Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.19512","last_updated":"2025-07-04T08:35:56Z","snapshot_observed_at":"2026-08-16T14:05:28.878973Z","submitted_at":"2024-03-28T15:44:20Z","title":"Quantum Realization of the Finite Element Method","version":4},"cited_work":{"arxiv_id":"2403.19512","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2403.19512","snapshot_observed_at":"2026-07-05T03:00:38.745158Z","title":"Deiml and D","venue":null,"work_id":"33a07bf4-b8d9-4451-a281-2ed0f0fdb41c","year":2025},"citing_paper":{"arxiv_id":"2604.20513","last_updated":"2026-04-28T14:57:41Z","snapshot_observed_at":"2026-08-17T05:06:37.420838Z","submitted_at":"2026-04-22T12:55:15Z","title":"Constrained Optimal Polynomials for Quantum Linear System Solvers","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-09T23:54:51.339126Z"},"links":{"cited_paper":"/paper/2403.19512","citing_paper":"/paper/2604.20513"},"observation_digest":"sha256:902e1635a41e645a3681307e0da06d535f5991d17cefe5dd560c680dd14fdb35","observation_id":"f6cea6ab-6f92-4636-be4b-bb778e814b30","resolution":{"observed_at":"2026-05-11T13:56:03.443138Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.19512","last_updated":"2025-07-04T08:35:56Z","snapshot_observed_at":"2026-08-16T14:05:28.878973Z","submitted_at":"2024-03-28T15:44:20Z","title":"Quantum Realization of the Finite Element Method","version":4},"cited_work":{"arxiv_id":"2403.19512","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2403.19512","snapshot_observed_at":"2026-07-05T03:00:38.745158Z","title":"Deiml and D","venue":null,"work_id":"33a07bf4-b8d9-4451-a281-2ed0f0fdb41c","year":2025},"citing_paper":{"arxiv_id":"2605.10768","last_updated":"2026-05-11T16:00:15Z","snapshot_observed_at":"2026-08-13T01:26:49.224116Z","submitted_at":"2026-05-11T16:00:15Z","title":"Unitaria: Quantum Linear Algebra via Block Encodings","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-12T04:45:45.598883Z"},"links":{"cited_paper":"/paper/2403.19512","citing_paper":"/paper/2605.10768"},"observation_digest":"sha256:cc277cb0131669a75a5901394aadc3bacb2bff248b67f5272fda18f20dc529f6","observation_id":"0583e69b-1477-40f3-aa35-ec7de64e22da","resolution":{"observed_at":"2026-05-12T05:56:31.200382Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.19512","last_updated":"2025-07-04T08:35:56Z","snapshot_observed_at":"2026-08-16T14:05:28.878973Z","submitted_at":"2024-03-28T15:44:20Z","title":"Quantum Realization of the Finite Element Method","version":4},"cited_work":{"arxiv_id":"2403.19512","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2403.19512","snapshot_observed_at":"2026-07-05T03:00:38.745158Z","title":"Deiml and D","venue":null,"work_id":"33a07bf4-b8d9-4451-a281-2ed0f0fdb41c","year":2025},"citing_paper":{"arxiv_id":"2605.21709","last_updated":"2026-06-04T20:03:05Z","snapshot_observed_at":"2026-08-03T20:48:15.906229Z","submitted_at":"2026-05-20T20:12:29Z","title":"Stable full-field simulation of a multiscale elliptic equation by means of Quantized Tensor Trains","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-22T08:50:44.124274Z"},"links":{"cited_paper":"/paper/2403.19512","citing_paper":"/paper/2605.21709"},"observation_digest":"sha256:33ef6e923444cb388e2c393c0dc633ba0734f9bdc971c65f69aeeff354ab1b99","observation_id":"95ecd83d-df17-4d2b-9070-e0fb4ad45afa","resolution":{"observed_at":"2026-05-22T08:51:18.167386Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.19512","last_updated":"2025-07-04T08:35:56Z","snapshot_observed_at":"2026-08-16T14:05:28.878973Z","submitted_at":"2024-03-28T15:44:20Z","title":"Quantum Realization of the Finite Element Method","version":4},"cited_work":{"arxiv_id":"2403.19512","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2403.19512","snapshot_observed_at":"2026-07-05T03:00:38.745158Z","title":"Deiml and D","venue":null,"work_id":"33a07bf4-b8d9-4451-a281-2ed0f0fdb41c","year":2025},"citing_paper":{"arxiv_id":"2605.21709","last_updated":"2026-06-04T20:03:05Z","snapshot_observed_at":"2026-08-03T20:48:15.906229Z","submitted_at":"2026-05-20T20:12:29Z","title":"Stable full-field simulation of a multiscale elliptic equation by means of Quantized Tensor Trains","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-30T16:43:53.561596Z"},"links":{"cited_paper":"/paper/2403.19512","citing_paper":"/paper/2605.21709"},"observation_digest":"sha256:6163d903246bbbaece4d3b69d3fd49931b07e5680c15456ef6859cc8d5cac0b0","observation_id":"0a5d1d44-2d18-44bb-ac1e-b7c3f36f854c","resolution":{"observed_at":"2026-06-30T16:44:55.751006Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.19512","last_updated":"2025-07-04T08:35:56Z","snapshot_observed_at":"2026-08-16T14:05:28.878973Z","submitted_at":"2024-03-28T15:44:20Z","title":"Quantum Realization of the Finite Element Method","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.19512","snapshot_observed_at":"2026-07-13T01:33:49.132446Z","title":"Quantum Realization of the Finite Element Method","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.09639","last_updated":"2026-07-10T17:36:20Z","snapshot_observed_at":"2026-08-06T21:37:47.027089Z","submitted_at":"2026-07-10T17:36:20Z","title":"A Quantum Path to Partial Differential Equations","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-07-13T01:33:49.132446Z"},"links":{"cited_paper":"/paper/2403.19512","citing_paper":"/paper/2607.09639"},"observation_digest":"sha256:cc675ceebc3a5850e9262146e28d0973ded1e00fc845bb259679159f942f9fba","observation_id":"9ecb5351-83cb-4e71-b636-03f8a742e8d6","resolution":{"observed_at":"2026-07-13T01:33:49.132446Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2403.19512/citation-record","integrity":"/paper/2403.19512/integrity","json":"/paper/2403.19512/citation-record.json","paper":"/paper/2403.19512"},"outbound":[],"paper":{"arxiv_id":"2403.19512","last_updated":"2025-07-04T08:35:56Z","latest_version":4,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-16T14:05:28.878973Z","submitted_at":"2024-03-28T15:44:20Z","title":"Quantum Realization of the Finite Element Method"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2403.19512."}