{"as_of":"2026-08-17T23:22:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4367a94b3652e8bd62aa172065add2ba28b14d20b705c603df30078ea7d1445c","coverage":[{"denominator":40,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":40,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T20:39:47.928065Z","state":"measured"},{"denominator":41,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":41,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+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":"2026-08-10T17:31:58.630060Z","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":"2026-08-10T17:31:58.730363Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"cited_work":{"arxiv_id":"2501.07778","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.07778","snapshot_observed_at":"2026-08-10T17:31:58.730363Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","venue":"math.NA","work_id":"d2369dc9-523b-4ed6-866b-53bc1101dca1","year":2025},"citing_paper":{"arxiv_id":"2501.12151","last_updated":"2025-02-02T19:32:07Z","snapshot_observed_at":"2026-08-17T04:30:48.901977Z","submitted_at":"2025-01-21T14:01:39Z","title":"Quantum-Inspired Solver for Simulating Material Deformations","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-10T17:31:58.630060Z"},"links":{"cited_paper":"/paper/2501.07778","citing_paper":"/paper/2501.12151"},"observation_digest":"sha256:e84dffbc444387375b3948453fa75792482cfc381adba14347b4b270ac6464f0","observation_id":"970b29a2-5cca-491e-baf6-b3d394f8d9be","resolution":{"observed_at":"2026-08-10T17:31:58.733889Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2501.07778/citation-record","integrity":"/paper/2501.07778/integrity","json":"/paper/2501.07778/citation-record.json","paper":"/paper/2501.07778"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:39:48.454606Z","title":"Ladev` eze, J","venue":null,"work_id":"66cbe33e-f85a-422e-a903-184920ed52bd","year":2010},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.754671Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:6ff44f5c8385a1af0604c66ca4bb6ea34a0e234e98ab1ddf26b63d8fe05d7ebe","observation_id":"c469bb49-525b-4153-a6a5-6ed08a88df62","resolution":{"observed_at":"2026-08-10T20:39:48.458658Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.444095Z","title":"Ladev` eze, Nonlinear computational structural mechanics: New approaches and non- incremental methods of calculation, Springer Science & Business Media, 2012","venue":null,"work_id":"ab55392d-0c42-4665-9d8d-7d8abe5a3bad","year":2012},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.759306Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:20b16c12bdcbbcfdd618990962cb41983be0006d45a65d270baae8aec99dddc4","observation_id":"5e9c58ed-72db-4607-94c2-ad34aadc3652","resolution":{"observed_at":"2026-08-10T20:39:48.447569Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.432576Z","title":"Chinesta, A","venue":null,"work_id":"c2cb7641-e68d-4a66-8d79-f30269dae3df","year":2013},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.763414Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:fa0283233ed6e015891041c6c277ab70fa622dcaa9e4bf909e8c3e8da243f6c0","observation_id":"cf95bb27-f23a-4353-8ea9-a9a9f5f84b5e","resolution":{"observed_at":"2026-08-10T20:39:48.437067Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.422479Z","title":"Bellman, Adaptive Control Processes: A Guided Tour, Princeton University Press, Prince- ton, NJ, 1961","venue":null,"work_id":"50859f77-717e-4a8e-b895-ab5d04c9fde9","year":1961},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.767749Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:c65b11cda5fb1e965d7321c733b33a65aba9c5029ff50b3a753fc893153cf5aa","observation_id":"fb5c212b-052e-4664-be3e-20192e4dd97a","resolution":{"observed_at":"2026-08-10T20:39:48.426416Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.410556Z","title":"Oseledets, Tensor-train decomposition, SIAM, Journal on Scientific Computing 33 (5) (2011) 2295–2317","venue":null,"work_id":"11c74ff1-5015-4cec-85f5-95dceeddaa6c","year":2011},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.773099Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:f52e50ea96679ed1704266e3dcc2a7f06c4d2a2a88109ee750edf35ad2cf2157","observation_id":"ccccb744-ab09-4e96-94d6-3dbb27ca8d90","resolution":{"observed_at":"2026-08-10T20:39:48.415422Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.400954Z","title":"Oseledets, E","venue":null,"work_id":"f0e1e8bc-bcbe-4611-b718-e85e4ecc4ae8","year":2010},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.778452Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:a48c66e43df93e30b0476f23456c056b716d48ff2bcf644e475d8800dac24855","observation_id":"5446cd90-bff0-436a-9284-06b1676714b1","resolution":{"observed_at":"2026-08-10T20:39:48.404235Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.389321Z","title":"Oseledets, E","venue":null,"work_id":"02d134dc-aee8-441d-a578-17ece14d0822","year":2009},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.782753Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:039298abbeb375e8644f89c34f0b27a745ed502b6b9d4248c98b5cd8c478e930","observation_id":"29bf4525-3a00-4727-96be-c178dd3c980a","resolution":{"observed_at":"2026-08-10T20:39:48.393556Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.378351Z","title":null,"venue":null,"work_id":"f1de451e-12e4-421b-8efe-418ec043515b","year":2009},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.786528Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:6618e64c07a07617f8fbca54526efc63088e66e70bf3290c98a203c86f973be8","observation_id":"0c16b593-54c2-47a0-952c-94592c605b91","resolution":{"observed_at":"2026-08-10T20:39:48.381944Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.366130Z","title":null,"venue":null,"work_id":"0105d77f-8173-4316-bc21-519999e69238","year":2009},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.789968Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:dfeadd2b923a6beb8eb02047c6dbf7c50de2e19319fd138fefd627c54736721e","observation_id":"f57630c8-72a9-4db7-b236-f08fe9332e9b","resolution":{"observed_at":"2026-08-10T20:39:48.370567Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.354876Z","title":"Schollw¨ ock, The density-matrix renormalization group in the age of matrix product states, Annals of Physics 326 (1) (2011) 96–192","venue":null,"work_id":"ee4f6da6-a123-46d0-9e9a-c3b9eed71eff","year":2011},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.794274Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:a6107e7fa704b11d32ec7033c55d109f7b28180e7e79ed8e274a58bb08c103f5","observation_id":"73e36440-beeb-4db5-9c61-e5a008cd077a","resolution":{"observed_at":"2026-08-10T20:39:48.359188Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.343325Z","title":"Verstraete, J","venue":null,"work_id":"6e7837ca-3bca-4178-8102-6fd7bfa1c081","year":2006},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.798348Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:7750f1e5cb9ac4ea0d02f4b443a1b020aa1c0dfa3de440454042cd05d0ec3e8d","observation_id":"cd314dff-65f7-4d8a-bba0-865533d2b683","resolution":{"observed_at":"2026-08-10T20:39:48.346642Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.331481Z","title":"Vidal, Efficient classical simulation of slightly entangled quantum computations, Physical Review Letters 91 (2003) 147902","venue":null,"work_id":"31309542-b176-4082-9423-da7ece031e97","year":2003},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.802801Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:8b2807bc486f8786800b091bce767ad499ddbc8434fb1e5e9ef91dd2abb6c69b","observation_id":"1fad5450-ea8d-47a7-a790-938afd413f32","resolution":{"observed_at":"2026-08-10T20:39:48.335775Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.320031Z","title":null,"venue":null,"work_id":"6ac3e62b-1aac-42cc-859c-942fe5fcaf79","year":1993},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.807060Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:322b5954d05761a7ca0f8ea799fe9bde6f65b0d66c3166abe6cc13945d1b98cb","observation_id":"c0c3e0e2-d9bb-49b0-8de9-cf717c6ca968","resolution":{"observed_at":"2026-08-10T20:39:48.323505Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.309172Z","title":"Khoromskij, o(d log n)-Quantics approximation of n-d tensors in high-dimensional numerical modeling, Constr","venue":null,"work_id":"01664933-dcd9-46ab-92fc-b1beb5dd84f6","year":2011},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.810958Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:f6c1c036fee9b01fabb5f37ca92b787fbf73ee26b7dd0a4e1fcc8863ea8a6e7c","observation_id":"d84b43b1-7875-4921-95c2-c1f8b477b69d","resolution":{"observed_at":"2026-08-10T20:39:48.313606Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.297702Z","title":"Oseledets, Approximation of matrices with logarithmic number of parameters, Doklady Mathematics 80 (2) (2009) 653–654","venue":null,"work_id":"890531c9-34b6-424e-aa47-fa687ad72cc7","year":2009},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.815375Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:18f7eb73fdf658a99d54561f5d61000264ed294a32ceecfd41a733f49e40ab2e","observation_id":"1dd93f9a-2d2e-49fc-bbb4-becf949e5934","resolution":{"observed_at":"2026-08-10T20:39:48.302293Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.287282Z","title":"Oseledets, Approximation of 2 d × 2d matrices using tensor decomposition, SIAM, Journal on Matrix Analysis and Applications 31 (4) (2010) 2130–2145","venue":null,"work_id":"e8448f14-a3a1-432d-911b-8bc2bf6546ae","year":2010},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.819697Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:cca62f113191310dd87ddea91b8cb26d1ccadfa79e2d684142cc3eff04a2a141","observation_id":"60b46445-aaa8-4b78-a09e-ef2f6fb4ea7c","resolution":{"observed_at":"2026-08-10T20:39:48.291285Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.274524Z","title":"Grasedyck, Polynomial approximation in hierarchical tucker format by vector-tensorization, Tech","venue":null,"work_id":"8186a9c9-2384-4846-87e9-3859924fcfb5","year":2010},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.823345Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:ceff0a187d91e69ba8641956f67e2ad842703d7011bbf19301be52018d84e75e","observation_id":"6d5ce21a-462c-4b1c-89e8-7ae7d88be505","resolution":{"observed_at":"2026-08-10T20:39:48.278984Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.261967Z","title":"Kazeev, B","venue":null,"work_id":"4c57777f-536f-48e9-9d3f-b09835ddad8c","year":2012},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.828211Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:9fb2bc22dad67ec9a95465a8c4658a47c0ff92a8136ffeebdd398fef92b42965","observation_id":"f4353ce2-cf69-432d-8d39-1e7b2d67c277","resolution":{"observed_at":"2026-08-10T20:39:48.266114Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.250027Z","title":null,"venue":null,"work_id":"d56f7a80-5e55-4661-ae50-40425e3c6910","year":2013},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.832005Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:d1d91369f67daeaa0f0478ea255ff6aba4edcbb5e2e7ce64efbe4800754afca5","observation_id":"3610720a-1f4f-424c-bc75-384bf800be04","resolution":{"observed_at":"2026-08-10T20:39:48.254673Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.238120Z","title":null,"venue":null,"work_id":"67201162-5da5-4a50-a7a0-0734bd201dc4","year":2018},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.836822Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:a56a6c5b397a33ace3039d74836a949fdc7d014713c02055ef6bb15edbe8cf2f","observation_id":"c9677bcb-28fe-4e41-b318-3b37db9d6d00","resolution":{"observed_at":"2026-08-10T20:39:48.242299Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.225917Z","title":null,"venue":null,"work_id":"f2c826c4-a4e9-45c6-b5f1-c0b5579bce89","year":2012},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.840801Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:d5057ae0c90e62ffec28b106bde72b456155f6980d450a6c47a5cd5e81f2a553","observation_id":"ecc38e22-1d8f-4a88-8339-bec2f4216947","resolution":{"observed_at":"2026-08-10T20:39:48.230725Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.215092Z","title":"Kazeev, M","venue":null,"work_id":"e0f0ccbc-e9a6-49c0-bb62-fa26b7c6d21c","year":2014},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.845938Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:fc22d55826dfad8545fb8a18e78bb5f92b535f652fe4916a76a430360bde63d1","observation_id":"fbf4e681-7453-4525-a19a-e1166cf1cddf","resolution":{"observed_at":"2026-08-10T20:39:48.219037Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.202139Z","title":"Kazeev, C","venue":null,"work_id":"0c5eda4c-ecc1-4454-a13b-23bb18b8e877","year":2018},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.850069Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:3897c3d8e366252b3aac9fbba5185e2e670ca5006b415926605a53c73fe85667","observation_id":"06477a4c-d203-4fde-9a18-a7b3ee51ab67","resolution":{"observed_at":"2026-08-10T20:39:48.206738Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.188336Z","title":"Bachmayr, V","venue":null,"work_id":"e6e81fd2-b850-48c0-95a8-3caa7bdd2865","year":2020},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.853883Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:367a3a069dde17b78c05b94967d44ddb6cf0a5a91e73836d49225ba47aeff877","observation_id":"6e3fcad7-34bf-4e73-a2e8-00bb157f7396","resolution":{"observed_at":"2026-08-10T20:39:48.191999Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.174237Z","title":"Kazeev, I","venue":null,"work_id":"ddd45f14-e360-4f98-ba4f-7ef09b62d330","year":2017},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.858369Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:5e350b06f88bdfefb9bea9ff8f5403a8c2a382ac0fbd3c979a9be13f3c8ceb76","observation_id":"bbb0d59c-8366-4abb-ab8d-9a02d9a08533","resolution":{"observed_at":"2026-08-10T20:39:48.179169Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.157027Z","title":"Kazeev, I","venue":null,"work_id":"d7481d2c-1470-4ea2-9d94-7201fd0eb94e","year":2022},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.863185Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:3baa06cbb70fab707cfac2e72709c56080d102aaf22fd4b52e67278f31dbec9a","observation_id":"fc2c204b-d1e7-4cd5-bc24-2ca8cad6bec9","resolution":{"observed_at":"2026-08-10T20:39:48.163595Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.145142Z","title":"Kazeev, O","venue":null,"work_id":"49d35693-39b5-45de-a753-608982ca3e32","year":2013},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.867244Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:e7e48ff5101554af631591abfaa72fe79372ef478c07f1cb8cda25b111270bba","observation_id":"959a6514-4087-4fea-bc0d-4cfd73bb2393","resolution":{"observed_at":"2026-08-10T20:39:48.148797Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.130564Z","title":"Markeeva, I","venue":null,"work_id":"0838959b-f113-4538-8756-b218935b4a96","year":2021},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.871732Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:8e7410fcfec9ee27ef9138f488828d75a15641c863b04992bf8e14c3362642e4","observation_id":"a509a918-f9a6-45a7-93d7-f3b600ab28e5","resolution":{"observed_at":"2026-08-10T20:39:48.134516Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.110175Z","title":"Kazeev, C","venue":null,"work_id":"b471b139-339c-402b-9c30-ad44ed611ab0","year":2018},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.877480Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:b8b7f5c4fec86ff2ad40c89022d0ecce55003df820bdabcbe2e527c28cf2a99b","observation_id":"f31494e3-5ebe-4d09-ac93-6b8b0d9ef6c0","resolution":{"observed_at":"2026-08-10T20:39:48.115736Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.3929/ethz-a-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:39:47.977247Z","title":null,"venue":null,"work_id":"e01cf514-bf80-4195-901d-3375bc3eca34","year":2015},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.883785Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:5d66d2395bb2414010589f841cc5008db78949fa4142c6dc0b3e34440142da72","observation_id":"ed2653fa-1565-41b8-a9de-ee20e832df1a","resolution":{"observed_at":"2026-08-10T20:39:47.984691Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.11321","last_updated":"2024-11-18T06:31:12Z","snapshot_observed_at":"2026-08-13T13:46:47.129873Z","submitted_at":"2024-11-18T06:31:12Z","title":"Symplectic QTT-FEM solution of the one-dimensional acoustic wave equation in the time domain","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.11321","snapshot_observed_at":"2026-08-10T20:39:47.888535Z","title":"Fraschini, V","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.888535Z"},"links":{"cited_paper":"/paper/2411.11321","citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:21ebd08322aefd497be46ba45e38c65888a02688d00ac4a2dbdc82ee7596402c","observation_id":"ec07eafc-4849-4d20-aba9-48cf998202b3","resolution":{"observed_at":"2026-08-10T20:39:47.888535Z","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":"2026-08-10T20:39:48.095982Z","title":"Kazeev, C","venue":null,"work_id":"3db45994-6fba-4370-b984-dfcccab3b953","year":2015},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.893209Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:29fb4161647386b2f1c04970b8420f9dfdebf9ae12e2a7ccf86906d1c0085a5e","observation_id":"e63f657c-6f69-40f3-bbb4-111befb62143","resolution":{"observed_at":"2026-08-10T20:39:48.100253Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.082229Z","title":"Markeeva, I","venue":null,"work_id":"732ec88f-d4a1-43fa-9eea-bd49882b3377","year":2020},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.897574Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:5c6bc2c08c00b433ae1e91760b50ee96101815de41da0940cf7b9cabb9641c76","observation_id":"343a3e31-266d-4f5b-9bf0-80f54fb47429","resolution":{"observed_at":"2026-08-10T20:39:48.087074Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.065707Z","title":"Morton, A Computer Oriented Geodetic Data Base and a New Technique in File Sequencing, International Business Machines Company New York, 1966","venue":null,"work_id":"359d4558-ce7e-49f6-8134-c8fb5bd2e86d","year":1966},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.901709Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:e725878e67a0b0d19e17de640f8d6ff8a33864e033c398fff77fbd37af274f1e","observation_id":"422054fc-e64d-4158-ab43-33d073fe1203","resolution":{"observed_at":"2026-08-10T20:39:48.072600Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.050876Z","title":"Dolgov, D","venue":null,"work_id":"01f762bd-1d51-4fb1-ad81-31504839211a","year":2014},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.906627Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:5d0b052fbd1ab3572ea40a2f257d36d624fd48cc6606ea5d46517208921bbe8c","observation_id":"49d724a6-0173-4af3-9cc5-1b698d41ce3d","resolution":{"observed_at":"2026-08-10T20:39:48.054983Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:47.911122Z","title":"Dolean, P","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.911122Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:fc87edb50e75e1b8e392bfa1dde9057b27f0945ee4f113153f3d10bc983875a6","observation_id":"6934a3c4-4f0c-4d8d-8ad8-1b13d69dc654","resolution":{"observed_at":"2026-08-10T20:39:47.911122Z","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":"2026-08-10T20:39:48.034769Z","title":"Bathe, Finite Element Procedures, Prentice Hall, 2006","venue":null,"work_id":"4202b071-4593-4030-bc4c-575411965a11","year":2006},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.916038Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:214763b325d424948c164208abce6832169cce97d115c773eec3ddbbbbedcc92","observation_id":"e21cd3b5-7019-4326-acca-e237db239819","resolution":{"observed_at":"2026-08-10T20:39:48.040236Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:48.021185Z","title":"Zienkiewicz, R","venue":null,"work_id":"ced82748-6e12-4b61-864b-07f831150de9","year":2005},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.920316Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:5d83bbd38d712b26e7b8d189e8f9e62a6257d494681596c8645205f47a6c30bc","observation_id":"2c13f8ad-5696-40dd-9970-2ae3559daddf","resolution":{"observed_at":"2026-08-10T20:39:48.025124Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-10T20:39:47.924204Z","title":"Baratta, J","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.924204Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:7387d60e3080d8f312779e3978fe8e72914d2148373f6f65ecc76385e1ab6723","observation_id":"0924f714-6001-4562-a57e-d4ccfd6bd78d","resolution":{"observed_at":"2026-08-10T20:39:47.924204Z","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":"2026-08-10T20:39:48.007218Z","title":"Szab´ o, I","venue":null,"work_id":"a14b2817-4f11-4c8f-968c-c0a6ea29c967","year":2021},"citing_paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-10T20:39:47.928065Z"},"links":{"citing_paper":"/paper/2501.07778"},"observation_digest":"sha256:675ac04f6209da6b6adffc44b83f75e3052d190e5cd21a9105e28b00e3bb106f","observation_id":"f966e0f3-e220-4e43-93a3-dd4bccec0e6f","resolution":{"observed_at":"2026-08-10T20:39:48.012192Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.07778","last_updated":"2025-01-14T01:26:56Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-13T14:11:00.371927Z","submitted_at":"2025-01-14T01:26:56Z","title":"A Low-Rank QTT-based Finite Element Method for Elasticity Problems"},"reference_resolution":{"displayed":40,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":9,"verified_exact":0,"verified_fuzzy":30},"total_outbound_references":40},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 1 inbound Pith citation observation for arXiv:2501.07778."}