{"as_of":"2026-08-08T04:48:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5cf7f474e002d85b5e2a2902d7e170120ae819b5fc9d1b52d2dbf711eedb7b2c","coverage":[{"denominator":48,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":48,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T22:47:35.823692Z","state":"measured"},{"denominator":48,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":48,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2506.20890/citation-record","integrity":"/paper/2506.20890/integrity","json":"/paper/2506.20890/citation-record.json","paper":"/paper/2506.20890"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:36.238327Z","title":"Stochastic poromechanical modeling of anthropogenic land subsidence.International journal of solids and structures, 43(11-12):3324–3336, 2006","venue":null,"work_id":"edd6697c-02fb-46f2-bfcf-1d763f3c7822","year":2006},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.673781Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:e85a278d0c4f34333e82749e684382c04ef41a99e17ce93b98da76181204a642","observation_id":"68382742-cb4f-482a-8d65-4e3bec4e4193","resolution":{"observed_at":"2026-08-06T22:47:36.241642Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:36.229758Z","title":null,"venue":null,"work_id":"28cb2bb7-3fda-4077-a3d8-5c9e94221c71","year":2019},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.687291Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:d0990af4d01967ae94ca328a54ef9b6647358620b033a6160a72e5484e3984e0","observation_id":"d553a668-ae6b-451f-8e8f-59d2e7382f57","resolution":{"observed_at":"2026-08-06T22:47:36.232525Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:36.221450Z","title":null,"venue":null,"work_id":"5e7fcedc-6fe4-44a0-8c6b-cb8b83fd1d24","year":2022},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.697114Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:6b32123d9d6333df0764e62882963c5ab2c77a67be09afda30e3e89126b9ebc3","observation_id":"0841f0dd-bfd1-4f83-9238-eb56381d7d46","resolution":{"observed_at":"2026-08-06T22:47:36.224245Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:36.212292Z","title":"A poroelastic model valid in large strains with applications to perfusion in cardiac modeling.Computational Mechanics, 46:91–101, 2010","venue":null,"work_id":"17d2a863-1632-424b-9d26-4f6cb5864bd5","year":2010},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.704178Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:f995311234f19e7473c7ea83ea716739c9ddba9e32471814e0104c28090a75b9","observation_id":"2ddf2d88-7033-4064-841b-e9558fea47ce","resolution":{"observed_at":"2026-08-06T22:47:36.215490Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:36.203663Z","title":"General solutions to poroviscoelastic model of hydro- cephalic human brain tissue.Journal of Theoretical Biology, 291:105–118, 2011","venue":null,"work_id":"3edd70ed-ae59-4386-b3bd-4173a726fa8a","year":2011},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.707374Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:1ddd5c6fe21a70577a7d2a7a45f49ba959f33035289326817da549e2922eb340","observation_id":"7d7c2af7-71af-41fe-b6f7-fa917ad9bbee","resolution":{"observed_at":"2026-08-06T22:47:36.206801Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:35.710275Z","title":"General theory of three-dimensional consolidation.Journal of applied physics, 12(2):155–164, 1941","venue":null,"work_id":null,"year":1941},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.710275Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:6af1270078a5a801b9c36ee7fb81d6a3082c4f473b753efda74ff87a233a8ebe","observation_id":"4861f946-b0b6-4ffc-975f-def6c4549ba6","resolution":{"observed_at":"2026-08-06T22:47:35.710275Z","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":"2026-08-06T22:47:36.190196Z","title":"Theory of elasticity and consolidation for a porous anisotropic solid.Journal of applied physics, 26(2):182–185, 1955","venue":null,"work_id":"926cf8be-6190-4a28-a671-f609a6bffdf2","year":1955},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.713408Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:788a73fa5f79cea941714a2e4795533abdebaf317b64e15d5869eba1006c0498","observation_id":"aea1d50d-6e27-4fc8-9605-01a22fccb2ab","resolution":{"observed_at":"2026-08-06T22:47:36.192971Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:36.182756Z","title":"Theory of deformation of a porous viscoelastic anisotropic solid.Journal of Applied physics, 27(5):459–467, 1956","venue":null,"work_id":"c864df18-4408-4e73-a95b-9b820488cf34","year":1956},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.716604Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:bede417a49f8668b638e2d430074105b7a293bdfebf9f8afb7607b126f5d7947","observation_id":"460967e7-58d5-457f-938c-1ddf5274ddff","resolution":{"observed_at":"2026-08-06T22:47:36.185485Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:36.174801Z","title":"Mechanics of porous elastic materials containing multiphase fluid.International journal of engineering science, 23(11):1203–1214, 1985","venue":null,"work_id":"e9e92b66-a888-4d13-aeab-2fb3bd1b8f9f","year":1985},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.719231Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:262a9c1c27a1576fd0ad68f626b95b3e970e5130fbfe41e11175c412a021d997","observation_id":"3229b67d-4439-4bd9-8b51-eb9841469aa0","resolution":{"observed_at":"2026-08-06T22:47:36.177919Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:36.166866Z","title":null,"venue":null,"work_id":"789e9d35-af45-4c93-b835-45635d15ca32","year":1984},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.721926Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:c81fe7777d7d35f4102765b7b72d6428bb0160fa0ba1850e59c1f2e097014376","observation_id":"c7bb7069-794f-4f95-a93f-249b44dbf925","resolution":{"observed_at":"2026-08-06T22:47:36.169932Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:36.158982Z","title":null,"venue":null,"work_id":"1297de73-cf3f-44d4-878f-ec9c41a53c93","year":2004},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.724882Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:8ebb700a6ea002eb0c3a4f764c6f409b0985b41cf6ba9b20e1b1112c1f9279a2","observation_id":"7da6b107-0780-45fb-b2c5-c8fbb56f499a","resolution":{"observed_at":"2026-08-06T22:47:36.161752Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:36.150758Z","title":"Cerebral water transport using multiple-network poroelastic theory: application to normal pressure hydrocephalus.Journal of Fluid Mechanics, 667:188–215, 2011","venue":null,"work_id":"da6f2c70-f077-4b06-a014-3879f9d6f7a5","year":2011},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.728114Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:ed2aa0a0d3edf9fc7e23da37a03f5d2f18310c245d020e461634e861137ef812","observation_id":"583eae72-519c-47af-ac4e-1f8219c9def0","resolution":{"observed_at":"2026-08-06T22:47:36.154046Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:36.143334Z","title":"Elsevier, 1978","venue":null,"work_id":"498b4c14-66b4-4810-a795-7c2c5d31ee97","year":1978},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.731030Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:9ed4b150228cebfcb9f12bd4e64f7aa4c328f175bb68c35a336b8e347a3b2d79","observation_id":"7ff34d7f-52e7-4549-bd61-a777211896f1","resolution":{"observed_at":"2026-08-06T22:47:36.145795Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:36.135243Z","title":"Springer Science & Business Media, 2012","venue":null,"work_id":"6f41c0ed-8bbb-4111-9144-984498ccc760","year":2012},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.733648Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:c4fd4315caedaf29608758c1c3ee4719c048d9cc462cd122228de1ef649e0c36","observation_id":"4bf4700d-3865-49c8-8527-89fc56d3ed37","resolution":{"observed_at":"2026-08-06T22:47:36.138095Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:36.127692Z","title":"Homogenization and field concentrations in heterogeneous media.SIAM journal on mathematical analysis, 38(4):1048–1059, 2006","venue":null,"work_id":"7c3bfed5-8bd5-45a0-9644-a9cc0db17d62","year":2006},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.736538Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:f2b46f58a4252bf195823773250f428fc14f9a70521cd974290a9faabb89a34f","observation_id":"a34064f1-3f39-41ce-a123-224770d5857a","resolution":{"observed_at":"2026-08-06T22:47:36.130347Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:36.119877Z","title":"Analysis of upscaling absolute permeability","venue":null,"work_id":"06e98edc-372e-4843-99be-e74899b06ec7","year":2002},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.739080Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:a1656408900ba12dbe8cb0ac96137b08540c3ecfdc5fe228d252dd528f929eb4","observation_id":"cfb9933c-fcac-4d6f-90e7-51d25ac2acd7","resolution":{"observed_at":"2026-08-06T22:47:36.122775Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:36.111191Z","title":"Numerical calculation of equivalent grid block permeability tensors for heteroge- neous porous media.Water resources research, 27(5):699–708, 1991","venue":null,"work_id":"583b782d-dd17-47c9-b59b-bebbe4f879ac","year":1991},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.741831Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:474288e0e01a9aa3ebc7ae2ef8ac1906829cff2ac6aa44f4e53a7cdfbdeceadc","observation_id":"7ab5e49d-e19b-4f7e-8678-3d39ce0f4acb","resolution":{"observed_at":"2026-08-06T22:47:36.115019Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:36.103504Z","title":"Asymptotic homogenisation in linear elasticity","venue":null,"work_id":"878ceeb4-71bb-4ccd-bda6-64c21c9b394f","year":2009},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.744615Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:a1e57a32651557f7a214c38129a0bb4f29407ba746c5152d02944c4d15367386","observation_id":"12c1f6d4-e452-4b20-b9cf-f3333ddb84f4","resolution":{"observed_at":"2026-08-06T22:47:36.106291Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:36.095504Z","title":"Machine learning for accelerating macroscopic parameters prediction for poroelasticity problem in stochastic media.Computers & Mathematics with Applica- tions, 84:185–202, 2021","venue":null,"work_id":"4ed6259e-d5e1-4b3d-ae45-00fa5d292465","year":2021},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.747224Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:032f265d6df2e6f6b6582174ad14bf847d15a9cbc453ffa6f0d6cf1c04f96ab5","observation_id":"9be7ecf2-b01d-4713-a728-fce10bc0afbb","resolution":{"observed_at":"2026-08-06T22:47:36.098659Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:36.087149Z","title":"On a question about the propagation of heat in heterogeneous media.(russian) izvestiya akad.Nauk SSSR","venue":null,"work_id":"112788b4-d582-4efa-b855-4259e2cffc5d","year":1948},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.750246Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:06ce6a93b6ecb8b2aa887f8c87bf4618c9a835aeabdf7334a27e02eb8e45ba01","observation_id":"800f4557-ef63-428a-be25-35ff972ecd20","resolution":{"observed_at":"2026-08-06T22:47:36.089991Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:36.079146Z","title":"Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata].Journal of applied mathematics and mechanics, 24(5):1286–1303, 1960","venue":null,"work_id":"c9f7884e-44ed-4ce3-88ae-d22bc8200d7f","year":1960},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.752922Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:16b19b6a4d5d581e1e8952b3a10f4f43afbffe9c35fa664dd7779b30a735a8f2","observation_id":"eed20321-055e-471e-81d7-a3335d14603b","resolution":{"observed_at":"2026-08-06T22:47:36.082096Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:36.070478Z","title":"A theory of mixtures with different constituent temperatures.Journal of thermal stresses, 20(2):147–167, 1997","venue":null,"work_id":"ad1f7182-8fc5-482a-8af6-edab383014fb","year":1997},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.755721Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:dd090cb3d4411fdea3372bab0d3a5450026871367e2b9fe292a3c5ef97c3d01a","observation_id":"b343b401-fc75-45bc-ac7a-33ca50c28164","resolution":{"observed_at":"2026-08-06T22:47:36.073821Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:36.062428Z","title":"Upscaling of a diffusion problem with interfacial flux jump leading to a modified barenblatt model, 2019","venue":null,"work_id":"2879cc6c-5799-48b9-8936-444f293b99dc","year":2019},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.758107Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:0f171b9a91dea686e2d2dd386da3e8e2c4039b72c7bb5200549cf3f915669921","observation_id":"00964c29-a997-4399-b564-e1895dc9045a","resolution":{"observed_at":"2026-08-06T22:47:36.065293Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:36.054625Z","title":"Derivation of the double porosity model of single phase flow via homogenization theory.SIAM Journal on Mathematical Analysis, 21(4):823– 836, 1990","venue":null,"work_id":"981897b3-8a50-4113-bf96-754a73fada74","year":1990},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.760704Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:3e480bb697d5bce4d19f5127f84cce32b4310c45e76cb3e7d008de650e74971b","observation_id":"bd6c5c78-faf1-4aae-aa9b-57a0dac4e9dd","resolution":{"observed_at":"2026-08-06T22:47:36.057351Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:36.046099Z","title":null,"venue":null,"work_id":"1c6c3d2b-9bf5-4c72-b317-7c170c43048d","year":2018},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.763357Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:7bee1fb466e4abab1dfcfe0abd05bc696d4f5e114692e5550a58da5d5a1d392e","observation_id":"e6833fff-4f50-4506-8ba2-3672ed31c248","resolution":{"observed_at":"2026-08-06T22:47:36.049571Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:36.038486Z","title":"A multi-continuum theory for composite elastic materials.Acta Mechanica, 14(2):85–102, 1972","venue":null,"work_id":"15978496-0086-49d2-a938-295d0c2cc780","year":1972},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.765817Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:d647f5b13595eb22bce9863ac0a4006157588267348121ac05d005a708d34b1e","observation_id":"d6a63925-5b2c-4201-af6c-05ed4a7bf230","resolution":{"observed_at":"2026-08-06T22:47:36.041139Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:36.030515Z","title":"On the problem of diffusion in solids.Acta Mechanica, 37(3):265–296, 1980","venue":null,"work_id":"3688aa02-9d1c-4140-a734-be7d5cdaa741","year":1980},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.768272Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:0786292768b8185e8623c38ebbf56ed7a77e5fe4c2ad0b2d2b204b3395b5e9f8","observation_id":"4c1a7954-9ad0-4d3a-9aa7-3ac8e545e3c3","resolution":{"observed_at":"2026-08-06T22:47:36.033286Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:36.022178Z","title":"On the theory of consolidation with double porosity.International Journal of Engineering Science, 20(9):1009–1035, 1982","venue":null,"work_id":"b8d07d51-1a47-4017-a33b-65a66e81bebe","year":1982},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.770910Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:dee9e367b0c123fce2134b0d8187e087cad85fc6e6934e3cd7dafe1b69b6e5e3","observation_id":"5b76fa1b-ea9c-4d81-ba69-86b4f722e408","resolution":{"observed_at":"2026-08-06T22:47:36.025230Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:36.014395Z","title":"Multiporosity/multipermeability approach to the simulation of naturally fractured reservoirs.Water resources research, 29(6):1621–1633, 1993","venue":null,"work_id":"97e86818-7fa3-48f5-886f-b20a100acf61","year":1993},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.773324Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:5a22a7a427283f3934fefa8d8be363948afe6a336616fcb4485d70083fb43253","observation_id":"a44b1411-e698-4666-9f01-52a1e518b8e6","resolution":{"observed_at":"2026-08-06T22:47:36.017512Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:36.006440Z","title":"A multiple-network poroelastic model for biological systems and application to subject-specific modelling of cerebral fluid transport","venue":null,"work_id":"5abd5416-e557-4d22-b9bb-1ca512181010","year":2020},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.775793Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:c25cb379921668974070e038ae0b1d46504b1db0a2584136c51b56d3704d3ca7","observation_id":"f9e08abb-e88f-4e55-ae2b-691b9533b92b","resolution":{"observed_at":"2026-08-06T22:47:36.009378Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:35.998588Z","title":"Multicontinuum homogenization and its relation to nonlocal multicontinuum theories.Journal of Computational Physics, 474:111761, 2023","venue":null,"work_id":"80bc2d96-16ae-41e4-acc8-8b5e30965195","year":2023},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.778394Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:f6669ebe24c56365c41fee6ccbeacd9ca86ea199b9fb1b0ab5b724d220a1ccf4","observation_id":"5c986dd7-8466-4792-b733-e4e7e9d84f41","resolution":{"observed_at":"2026-08-06T22:47:36.001426Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:35.991096Z","title":"Multicontinuum homogenization","venue":null,"work_id":"73abce70-1593-4ea1-8151-2ecb5b871ba9","year":2024},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.781004Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:6f7869b23c07ef54d86e39afad0aed4a1e8d481b8bf01c0b9885e1ec1faa9052","observation_id":"64a3e029-a720-4208-a1b7-3f08ace9f80f","resolution":{"observed_at":"2026-08-06T22:47:35.993737Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.12799","last_updated":"2025-04-22T14:00:27Z","snapshot_observed_at":"2026-07-06T17:19:27.816085Z","submitted_at":"2024-01-23T14:31:29Z","title":"Some convergence analysis for multicontinuum homogenization","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.12799","snapshot_observed_at":"2026-08-06T22:47:35.783460Z","title":"Some convergence analysis for multicontinuum homogenization.arXiv preprint arXiv:2401.12799, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.783460Z"},"links":{"cited_paper":"/paper/2401.12799","citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:49995370ec54408ee99aceac1f38a7230dc73347d003da89c0415f77d0fc435c","observation_id":"86ea6ebb-8a42-49f8-ae3a-da98774caf84","resolution":{"observed_at":"2026-08-06T22:47:35.783460Z","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":"2026-08-06T22:47:35.983108Z","title":"Multicontinuum homogenization in perforated domains.Journal of Computational Physics, 530:113845, 2025","venue":null,"work_id":"aaba9a82-24b0-41a5-8dc7-622486bfcc43","year":2025},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.786644Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:336914ca3c0848c91a34eb979288adabc3400211f80dbbb489d145cd60b6713a","observation_id":"7eb49daa-ca41-4249-b32a-c3bdd9bcad34","resolution":{"observed_at":"2026-08-06T22:47:35.986089Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:35.974755Z","title":"Multicontinuum homogeniza- tion for coupled flow and transport equations.Journal of Computational and Applied Mathematics, page 116736, 2025","venue":null,"work_id":"f81cc7b5-fed8-4e28-81df-43be6d6c07f6","year":2025},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.789249Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:18982fd9dd4b21646ab4e511a34a787dd57ebe2ac21837bb2e68dd641741060b","observation_id":"38dd94ea-0927-444e-9243-ad636fd770eb","resolution":{"observed_at":"2026-08-06T22:47:35.977874Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.05253","last_updated":"2024-10-07T17:55:31Z","snapshot_observed_at":"2026-07-06T19:29:09.714725Z","submitted_at":"2024-10-07T17:55:31Z","title":"Multicontinuum splitting scheme for multiscale flow problems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.05253","snapshot_observed_at":"2026-08-06T22:47:35.792860Z","title":"Multicontinuum splitting scheme for multiscale flow problems.arXiv preprint arXiv:2410.05253, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.792860Z"},"links":{"cited_paper":"/paper/2410.05253","citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:f86bfff2402a581e40665f4f6f19ace50406894db0543ca3168778463ca21db4","observation_id":"178d700f-8442-430a-adcc-f4feb4b7a2c6","resolution":{"observed_at":"2026-08-06T22:47:35.792860Z","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":"2026-08-06T22:47:35.966989Z","title":null,"venue":null,"work_id":"79fd2c91-b03e-49f3-96b2-d3b15dd0ef48","year":2023},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.795702Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:d420142bf794aa50f1dc872de5b91c8e46abe4f49e263244fe8fa131250c9bf8","observation_id":"1c533ba9-a534-4920-a620-a484549f2faf","resolution":{"observed_at":"2026-08-06T22:47:35.969601Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:35.957616Z","title":"Multi-scale finite-volume method for elliptic problems in subsurface flow simulation.Journal of computational physics, 187(1):47–67, 2003","venue":null,"work_id":"23e795c2-fab7-4e9f-9538-c570073eab61","year":2003},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.798122Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:7c60360e241d99b497c36e02b725bf5c57ac3b2df8f998bf97818ae8bfd741ba","observation_id":"55651d37-7c5a-4997-b06c-074c9ba8f910","resolution":{"observed_at":"2026-08-06T22:47:35.960745Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:35.949290Z","title":"Springer Science & Business Media, 2009","venue":null,"work_id":"afd6792a-f842-44ca-a59a-b908fbda268d","year":2009},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.800812Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:39b8f7a847926c280165f658d77dc2807b3752b96bec00291e440a7ef90aba0a","observation_id":"6d35ff78-afde-47a1-bd40-60015181fe7a","resolution":{"observed_at":"2026-08-06T22:47:35.952211Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:35.940542Z","title":"Generalized multiscale finite element methods (gmsfem).Journal of computational physics, 251:116–135, 2013","venue":null,"work_id":"37760a7c-340c-413e-8634-61f14b96e044","year":2013},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.803174Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:d3f1267654448b0928892083b5188f27f1affbbdc00223738b03b29fcad5b22e","observation_id":"abc60928-d6d8-4d82-9188-f7e4ed896022","resolution":{"observed_at":"2026-08-06T22:47:35.943694Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:35.931655Z","title":"Constraint energy minimizing general- ized multiscale finite element method.Computer Methods in Applied Mechanics and Engineering, 339:298–319, 2018","venue":null,"work_id":"c007153d-9d81-4aa1-b060-d0106e5289fc","year":2018},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.805625Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:3168e5599b1059b69f5d8aa683b14b28b4fe7d58faf5e43445e3dd6f11b9bb85","observation_id":"ded0071d-2d63-4252-9dd9-1f954572a64f","resolution":{"observed_at":"2026-08-06T22:47:35.934640Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:35.923063Z","title":"Algorithmic monotone multiscale finite volume methods for porous media flow.Journal of Computational Physics, 499:112739, 2024","venue":null,"work_id":"f5271e80-f5f6-4665-9d90-d5dcd7c573dc","year":2024},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.808466Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:f2fd167919894492a4cf8ca1c5f2c725955cb1196920d137ac4e161f8329858f","observation_id":"e620da85-554a-448a-84ee-43e3acd77916","resolution":{"observed_at":"2026-08-06T22:47:35.926176Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:35.913453Z","title":"A generalized multiscale finite element method for poroelastic- ity problems i: Linear problems.Journal of Computational and Applied Mathematics, 294:372–388, 2016","venue":null,"work_id":"8faaebd1-f8da-46ba-8dbd-4fa6c6d3a8c6","year":2016},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.810877Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:84d1a4b30aa68911518685d4fb4ad21a37f285ba5b5a5e0554a0eaf471a2a1ce","observation_id":"fb910471-ae8f-4ac2-b297-768bda2901c6","resolution":{"observed_at":"2026-08-06T22:47:35.916800Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:35.904767Z","title":"Generalized multiscale finite element method for the poroelasticity problem in multicontinuum media.Journal of Computational and Applied Mathematics, 374:112783, 2020","venue":null,"work_id":"1d79b610-0fdf-4363-846f-af40c704017b","year":2020},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.813774Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:96f882f32d87988443b4e645b2024bfe2d0e5944969710cc33f72a74e952c4d1","observation_id":"b92bf9af-8ec1-45c3-a221-c00aef7d5760","resolution":{"observed_at":"2026-08-06T22:47:35.907736Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:35.895317Z","title":"Constraint energy minimizing generalized multiscale fi- nite element method for nonlinear poroelasticity and elasticity.Journal of Computational Physics, 417:109569, 2020","venue":null,"work_id":"99fcd0a7-c4b7-4747-8140-c539d27bc2d7","year":2020},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.816235Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:0867941ad7770e69accb5c846a11c5bf69e31f4beda8aaf6062f1d1b26046553","observation_id":"f144f0d1-381d-4d82-a6dc-d6b7401219b4","resolution":{"observed_at":"2026-08-06T22:47:35.898611Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:35.818648Z","title":"Springer Science & Business Media, 2012","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.818648Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:3ad6c4cada77999d817409e6d4f0f8c0b6ca10fd9cad7beb892dbb4f1614caf0","observation_id":"26e17c72-dae5-4f16-89bb-b78c9bafe8b3","resolution":{"observed_at":"2026-08-06T22:47:35.818648Z","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":"2026-08-06T22:47:35.878904Z","title":"Gmsh: A 3-d finite element mesh generator with built-in pre-and post-processing facilities.International journal for numerical methods in engineer- ing, 79(11):1309–1331, 2009","venue":null,"work_id":"649e9916-539c-4dad-ab50-e77379a41855","year":2009},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.821133Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:9d905f51fd796f7e70a094acfb1284c4f9a0137a69a0518f7a59d131322bf850","observation_id":"55643503-5eed-432a-bf42-20989991ede5","resolution":{"observed_at":"2026-08-06T22:47:35.883134Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:47:35.868267Z","title":"Kitware, Inc., 2015","venue":null,"work_id":"3e629e5b-60b8-45cd-a442-db501154cae1","year":2015},"citing_paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-06T22:47:35.823692Z"},"links":{"citing_paper":"/paper/2506.20890"},"observation_digest":"sha256:a5a2540548d246e3707cd60a52f87ca33a6cea7bd0a1d0ae208b6a220ecf99ea","observation_id":"a6ce35d2-ad19-42e2-b1dc-8abf1aaaf53d","resolution":{"observed_at":"2026-08-06T22:47:35.872616Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.20890","last_updated":"2025-06-25T23:48:57Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-06T22:36:51.668473Z","submitted_at":"2025-06-25T23:48:57Z","title":"Multicontinuum Homogenization for Poroelasticity Model"},"reference_resolution":{"displayed":48,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":10,"verified_exact":0,"verified_fuzzy":38},"total_outbound_references":48},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2506.20890."}