{"as_of":"2026-08-22T12:23:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a5d5f607ed390004573588dc800e28e9d7fac45bd9d7d42da5f7dcdc64dc0533","coverage":[{"denominator":18,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":18,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-28T05:06:30.774004Z","state":"measured"},{"denominator":19,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":19,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+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":"2026-08-01T04:19:17.739892Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2606.04864","last_updated":"2026-06-03T13:29:37Z","snapshot_observed_at":"2026-08-21T23:31:22.143323Z","submitted_at":"2026-06-03T13:29:37Z","title":"An algebraic multiscale preconditioner for large sparse SPD matrices","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.04864","snapshot_observed_at":"2026-08-01T04:19:17.739892Z","title":"An algebraic multiscale preconditioner for large sparse","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22905","last_updated":"2026-07-24T20:43:16Z","snapshot_observed_at":"2026-08-07T00:21:55.839342Z","submitted_at":"2026-07-24T20:43:16Z","title":"AlgMortar: a fully algebraic multiscale mortar preconditioner","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-01T04:19:17.739892Z"},"links":{"cited_paper":"/paper/2606.04864","citing_paper":"/paper/2607.22905"},"observation_digest":"sha256:1023aae497d16f3ccce36c33b3430dc368c1c1eb0a868eb14a0f984dce2a0e10","observation_id":"3fd6583e-1941-44e1-9adc-bdc2b14535f4","resolution":{"observed_at":"2026-08-01T04:19:17.739892Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2606.04864/citation-record","integrity":"/paper/2606.04864/integrity","json":"/paper/2606.04864/citation-record.json","paper":"/paper/2606.04864"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T05:06:30.774004Z","title":null,"venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2606.04864","last_updated":"2026-06-03T13:29:37Z","snapshot_observed_at":"2026-08-21T23:31:22.143323Z","submitted_at":"2026-06-03T13:29:37Z","title":"An algebraic multiscale preconditioner for large sparse SPD matrices","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-28T05:06:30.774004Z"},"links":{"citing_paper":"/paper/2606.04864"},"observation_digest":"sha256:76428d97f1c17930d78c274fc64df0e0fe97816062ebd2f92dbf6212ca991ac0","observation_id":"43e24efa-0c77-480e-8b1f-750927264f03","resolution":{"observed_at":"2026-06-28T05:06:30.774004Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T05:06:30.774004Z","title":"Chung, Y","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.04864","last_updated":"2026-06-03T13:29:37Z","snapshot_observed_at":"2026-08-21T23:31:22.143323Z","submitted_at":"2026-06-03T13:29:37Z","title":"An algebraic multiscale preconditioner for large sparse SPD matrices","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-28T05:06:30.774004Z"},"links":{"citing_paper":"/paper/2606.04864"},"observation_digest":"sha256:3add0629edf01e550221fd9fd525ee6909c59d15ccff31b68570b70551247d17","observation_id":"c8245ba7-4bbd-4c05-aba1-39f4300f89e2","resolution":{"observed_at":"2026-06-28T05:06:30.774004Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T05:06:30.774004Z","title":"Efendiev, J","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.04864","last_updated":"2026-06-03T13:29:37Z","snapshot_observed_at":"2026-08-21T23:31:22.143323Z","submitted_at":"2026-06-03T13:29:37Z","title":"An algebraic multiscale preconditioner for large sparse SPD matrices","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-28T05:06:30.774004Z"},"links":{"citing_paper":"/paper/2606.04864"},"observation_digest":"sha256:e421d3864193b8afc036ccaec524207b8b8da0c69c1ea24923bde88d1aa9611c","observation_id":"ce45878f-82ec-44d8-955c-2f25caae9172","resolution":{"observed_at":"2026-06-28T05:06:30.774004Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T05:06:30.774004Z","title":"Jenny, S","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2606.04864","last_updated":"2026-06-03T13:29:37Z","snapshot_observed_at":"2026-08-21T23:31:22.143323Z","submitted_at":"2026-06-03T13:29:37Z","title":"An algebraic multiscale preconditioner for large sparse SPD matrices","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-28T05:06:30.774004Z"},"links":{"citing_paper":"/paper/2606.04864"},"observation_digest":"sha256:79345c0bba36d5725015f1a0bdb81c5776e897c8424c67ed47c6d37783db1f17","observation_id":"4d5143bd-3a17-45c8-88be-e91524915d46","resolution":{"observed_at":"2026-06-28T05:06:30.774004Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T05:06:30.774004Z","title":"Hajibeygi, P","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2606.04864","last_updated":"2026-06-03T13:29:37Z","snapshot_observed_at":"2026-08-21T23:31:22.143323Z","submitted_at":"2026-06-03T13:29:37Z","title":"An algebraic multiscale preconditioner for large sparse SPD matrices","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-28T05:06:30.774004Z"},"links":{"citing_paper":"/paper/2606.04864"},"observation_digest":"sha256:26c862f1b917ee60ac7c8131524e133b7d796a21f6be8e19f781ffebc01aa04e","observation_id":"baf27681-e080-4ed6-bac2-459b37a71263","resolution":{"observed_at":"2026-06-28T05:06:30.774004Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T05:06:30.774004Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.04864","last_updated":"2026-06-03T13:29:37Z","snapshot_observed_at":"2026-08-21T23:31:22.143323Z","submitted_at":"2026-06-03T13:29:37Z","title":"An algebraic multiscale preconditioner for large sparse SPD matrices","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-28T05:06:30.774004Z"},"links":{"citing_paper":"/paper/2606.04864"},"observation_digest":"sha256:e78e57c732105c28f49fef39d3fc5c46e445c7cb7182e72093962af8aab62edf","observation_id":"392c726a-1ce8-465c-bc0b-4067949b3360","resolution":{"observed_at":"2026-06-28T05:06:30.774004Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T05:06:30.774004Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.04864","last_updated":"2026-06-03T13:29:37Z","snapshot_observed_at":"2026-08-21T23:31:22.143323Z","submitted_at":"2026-06-03T13:29:37Z","title":"An algebraic multiscale preconditioner for large sparse SPD matrices","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-28T05:06:30.774004Z"},"links":{"citing_paper":"/paper/2606.04864"},"observation_digest":"sha256:95488326527f0980dd4e09b4bd7da143b8361407c57a9529ce5b6dc6fcc89aeb","observation_id":"0b9af6d1-fc77-4654-8a02-1d764519f269","resolution":{"observed_at":"2026-06-28T05:06:30.774004Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T05:06:30.774004Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.04864","last_updated":"2026-06-03T13:29:37Z","snapshot_observed_at":"2026-08-21T23:31:22.143323Z","submitted_at":"2026-06-03T13:29:37Z","title":"An algebraic multiscale preconditioner for large sparse SPD matrices","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-28T05:06:30.774004Z"},"links":{"citing_paper":"/paper/2606.04864"},"observation_digest":"sha256:50103e63d32a7f89a5344bf5a57810dfc7a25b00058b3fa34d48ad6762143089","observation_id":"10f2726a-2a47-4261-a75a-d3bf37306525","resolution":{"observed_at":"2026-06-28T05:06:30.774004Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.06850","last_updated":"2025-01-13T07:26:48Z","snapshot_observed_at":"2026-08-21T23:32:28.413659Z","submitted_at":"2024-10-09T13:12:20Z","title":"A robust solver for large-scale heat transfer topology optimization","version":4},"cited_work":{"arxiv_id":"2410.06850","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2410.06850","snapshot_observed_at":"2026-07-02T10:16:52.615866Z","title":null,"venue":null,"work_id":"3fe8ed8b-6f68-4fdf-84ed-a41fe5853c2c","year":2024},"citing_paper":{"arxiv_id":"2606.04864","last_updated":"2026-06-03T13:29:37Z","snapshot_observed_at":"2026-08-21T23:31:22.143323Z","submitted_at":"2026-06-03T13:29:37Z","title":"An algebraic multiscale preconditioner for large sparse SPD matrices","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-28T05:06:30.774004Z"},"links":{"cited_paper":"/paper/2410.06850","citing_paper":"/paper/2606.04864"},"observation_digest":"sha256:cd620aa4ea65eee8265689a17d73576999b6f17b153257a8ba384b0781ad903b","observation_id":"a4375a08-45a6-4012-ae25-987392b4475b","resolution":{"observed_at":"2026-07-02T10:16:52.617118Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-06-28T05:06:30.774004Z","title":"Heinlein, K","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.04864","last_updated":"2026-06-03T13:29:37Z","snapshot_observed_at":"2026-08-21T23:31:22.143323Z","submitted_at":"2026-06-03T13:29:37Z","title":"An algebraic multiscale preconditioner for large sparse SPD matrices","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-28T05:06:30.774004Z"},"links":{"citing_paper":"/paper/2606.04864"},"observation_digest":"sha256:52c7bf2310c09b593561f26191fa0e207bd421f03e235ba8f382465a26fed659","observation_id":"02d446cf-aca2-4c56-b6e5-c0d255244fe5","resolution":{"observed_at":"2026-06-28T05:06:30.774004Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T05:06:30.774004Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.04864","last_updated":"2026-06-03T13:29:37Z","snapshot_observed_at":"2026-08-21T23:31:22.143323Z","submitted_at":"2026-06-03T13:29:37Z","title":"An algebraic multiscale preconditioner for large sparse SPD matrices","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-28T05:06:30.774004Z"},"links":{"citing_paper":"/paper/2606.04864"},"observation_digest":"sha256:470d538b416eae19749482a5969c5068de21bf58dfebe93fb1cf58263c51c804","observation_id":"1704a5b0-41fd-4adf-8387-b82b615855e2","resolution":{"observed_at":"2026-06-28T05:06:30.774004Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T05:06:30.774004Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.04864","last_updated":"2026-06-03T13:29:37Z","snapshot_observed_at":"2026-08-21T23:31:22.143323Z","submitted_at":"2026-06-03T13:29:37Z","title":"An algebraic multiscale preconditioner for large sparse SPD matrices","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-28T05:06:30.774004Z"},"links":{"citing_paper":"/paper/2606.04864"},"observation_digest":"sha256:423e9c48e3a66f351b21bca4134480d5835ab75c86d0e987b9eedc0178dcbdb3","observation_id":"050de6e4-5d2c-4def-ae83-5f8bfb520097","resolution":{"observed_at":"2026-06-28T05:06:30.774004Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T05:06:30.774004Z","title":"Boffi, F","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.04864","last_updated":"2026-06-03T13:29:37Z","snapshot_observed_at":"2026-08-21T23:31:22.143323Z","submitted_at":"2026-06-03T13:29:37Z","title":"An algebraic multiscale preconditioner for large sparse SPD matrices","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-28T05:06:30.774004Z"},"links":{"citing_paper":"/paper/2606.04864"},"observation_digest":"sha256:530442d01598f73a725678766d08f5846a541ee0b91926b9f1c0bcd8779e956b","observation_id":"9071d996-a8ea-409c-b6fd-47f4b93366fc","resolution":{"observed_at":"2026-06-28T05:06:30.774004Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T05:06:30.774004Z","title":"Arbogast, M","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2606.04864","last_updated":"2026-06-03T13:29:37Z","snapshot_observed_at":"2026-08-21T23:31:22.143323Z","submitted_at":"2026-06-03T13:29:37Z","title":"An algebraic multiscale preconditioner for large sparse SPD matrices","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-28T05:06:30.774004Z"},"links":{"citing_paper":"/paper/2606.04864"},"observation_digest":"sha256:c649d4b2e61475a7d0b62f5dc90eed0d6cab7fc7c7947989c52996e605d93f5e","observation_id":"a83ce761-c470-4a9f-beda-978de9f02346","resolution":{"observed_at":"2026-06-28T05:06:30.774004Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T05:06:30.774004Z","title":"Anderson, J","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.04864","last_updated":"2026-06-03T13:29:37Z","snapshot_observed_at":"2026-08-21T23:31:22.143323Z","submitted_at":"2026-06-03T13:29:37Z","title":"An algebraic multiscale preconditioner for large sparse SPD matrices","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-28T05:06:30.774004Z"},"links":{"citing_paper":"/paper/2606.04864"},"observation_digest":"sha256:469ddb54933e54f2bb6043c35aef91b11838761ed1803f8f27dab11e38c343b3","observation_id":"f551563b-137c-4b87-a6d0-696dc47b2286","resolution":{"observed_at":"2026-06-28T05:06:30.774004Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T05:06:30.774004Z","title":"Karypis, V","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2606.04864","last_updated":"2026-06-03T13:29:37Z","snapshot_observed_at":"2026-08-21T23:31:22.143323Z","submitted_at":"2026-06-03T13:29:37Z","title":"An algebraic multiscale preconditioner for large sparse SPD matrices","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-28T05:06:30.774004Z"},"links":{"citing_paper":"/paper/2606.04864"},"observation_digest":"sha256:4452f75be3fbaebb3dc4093e74913c46ccd1b36e13d111b22e2b4ec11c657c90","observation_id":"230e2e29-b17b-4621-9b65-8b35603d1758","resolution":{"observed_at":"2026-06-28T05:06:30.774004Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T05:06:30.774004Z","title":"Hernandez, J","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2606.04864","last_updated":"2026-06-03T13:29:37Z","snapshot_observed_at":"2026-08-21T23:31:22.143323Z","submitted_at":"2026-06-03T13:29:37Z","title":"An algebraic multiscale preconditioner for large sparse SPD matrices","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-28T05:06:30.774004Z"},"links":{"citing_paper":"/paper/2606.04864"},"observation_digest":"sha256:e157d5d9a4ca4c0f45b24ec45657cbe9201ff52dfd6a97df3ef0d9f58f1aaced","observation_id":"abd5e7b9-f2e0-4e3c-a1bd-343bab8b6bb0","resolution":{"observed_at":"2026-06-28T05:06:30.774004Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T05:06:30.774004Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2606.04864","last_updated":"2026-06-03T13:29:37Z","snapshot_observed_at":"2026-08-21T23:31:22.143323Z","submitted_at":"2026-06-03T13:29:37Z","title":"An algebraic multiscale preconditioner for large sparse SPD matrices","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-28T05:06:30.774004Z"},"links":{"citing_paper":"/paper/2606.04864"},"observation_digest":"sha256:2a3c398f7d89a9598d9cd51d9858c1f8c9c3a748469523634b5a3612e584efd6","observation_id":"d024e4b9-3386-4e29-8d8b-ad9b1c349fd3","resolution":{"observed_at":"2026-06-28T05:06:30.774004Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.04864","last_updated":"2026-06-03T13:29:37Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-21T23:31:22.143323Z","submitted_at":"2026-06-03T13:29:37Z","title":"An algebraic multiscale preconditioner for large sparse SPD matrices"},"reference_resolution":{"displayed":18,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":17,"verified_exact":1,"verified_fuzzy":0},"total_outbound_references":18},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2606.04864."}