{"as_of":"2026-08-20T17:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:bef32fb43dd06180c41766673bce840c2ac61d1d1865f92fea012ff54db99737","coverage":[{"denominator":34,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":34,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-02T01:43:10.447620Z","state":"measured"},{"denominator":35,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":35,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+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":"2026-08-04T01:04:27.296642Z","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":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.00879","snapshot_observed_at":"2026-08-04T01:04:27.296642Z","title":"arXiv preprint arXiv:2607.00879 (2026)","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.00244","last_updated":"2026-07-31T19:40:56Z","snapshot_observed_at":"2026-08-14T07:08:58.712097Z","submitted_at":"2026-07-31T19:40:56Z","title":"Weighted Hodge Laplacians on Manifolds with Boundary","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-04T01:04:27.296642Z"},"links":{"cited_paper":"/paper/2607.00879","citing_paper":"/paper/2608.00244"},"observation_digest":"sha256:8f41dae62dd1393f207369f6dbde60ab9e3a8004bcfd05063b6928228208e416","observation_id":"2bcdd0c3-3d74-4c5e-980f-a5025c3e1499","resolution":{"observed_at":"2026-08-04T01:04:27.296642Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2607.00879/citation-record","integrity":"/paper/2607.00879/integrity","json":"/paper/2607.00879/citation-record.json","paper":"/paper/2607.00879"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-06T09:42:15.477726Z","title":"Petsko and D","venue":null,"work_id":"89d017b3-6424-4aa9-9afe-b9f11a81282a","year":2004},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:55616e4b90052041114fd16b755927b5a3b229dd10934e95e2154a927d035a81","observation_id":"94b96b58-03b8-4e87-90ee-d36bf40adfeb","resolution":{"observed_at":"2026-07-06T09:42:15.478944Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.449486Z","title":"Anfinsen","venue":null,"work_id":"f35c9a08-f4ce-453b-9959-621a6638178e","year":1973},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:7853c8b1ab804ae455135c014220891d5c9c6bedc64ae453e32fc5f8c310779b","observation_id":"426c3265-3840-4dbf-afba-ee89b2c93589","resolution":{"observed_at":"2026-07-06T09:42:15.450700Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.447648Z","title":"Sligar, and Peter G","venue":null,"work_id":"4238f0df-ef11-4585-a2e7-9fb2159993bf","year":1991},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:e5b9ec5ad127e635d7dfa8618d7cf967ae799f777c9e722700df0bf2e464e970","observation_id":"dcbd9b32-524e-45e2-9450-1ca9b80001d6","resolution":{"observed_at":"2026-07-06T09:42:15.448864Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.451337Z","title":"Persistent sheaf laplacian analysis of protein flexibility.The Journal of Physical Chemistry B, 129(17):4169–4178, April 2025","venue":null,"work_id":"4e75583f-da4e-4f0c-9fe4-cb84b5098113","year":2025},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:fa6b652c08393b7e01d0aa522ab541b527bb8a5606ce363f567036fe260a2530","observation_id":"fb165cbd-6f8d-46c7-87da-feef15e423b7","resolution":{"observed_at":"2026-07-06T09:42:15.452957Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.467461Z","title":"Trueblood, Hans-Beat B ¨urgi, Herbert Burzlaff, Jack D","venue":null,"work_id":"40f074fc-7d00-4d31-b6f9-eb7d6ac0d0ac","year":1996},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:453edc49d758a295982e78ee2d26fb9cf0ea7c79a27f6db79e1cf936657759f3","observation_id":"721a479c-c63a-4add-b3d0-5728d7cf7117","resolution":{"observed_at":"2026-07-06T09:42:15.469063Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.453527Z","title":null,"venue":null,"work_id":"14a800e0-ba99-4b8c-8960-b76e00cb5524","year":2019},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:9e9eb48ed29fe84eecff119358d440e47578a558db1190698d3031c08b04207b","observation_id":"86f6f200-887b-416b-aa90-5a2ecb63e8c9","resolution":{"observed_at":"2026-07-06T09:42:15.454755Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.465408Z","title":"Andrew McCammon, Bruce R","venue":null,"work_id":"f1e8eb37-11e2-47b6-bc13-8b2e5418d3aa","year":1977},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:93b46c6b35119403af9b054b05bfd32e4bd7fb35ebb4f5118212376cd08da347","observation_id":"2dabde82-deec-42e6-9827-c30ff6720c0c","resolution":{"observed_at":"2026-07-06T09:42:15.466918Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.481867Z","title":null,"venue":null,"work_id":"d6bb1b04-9a06-4347-a68e-34198c9b2ee2","year":1985},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:c9ed319ee2e7283dbf68857e873f132f0ac3bc0bbed222f7f27f86f010b5850c","observation_id":"8e521a04-edf2-4f6b-a3a0-7524a692ec1c","resolution":{"observed_at":"2026-07-06T09:42:15.483124Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.445583Z","title":"Brooks, Robert E","venue":null,"work_id":"6eeeabdf-3031-460a-a320-8ec5994c3eaa","year":1983},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:3c0f6c39644043f577e7d10dd1750981f220b6451417f308c10af513970a7e72","observation_id":"e9cbaf4a-339b-4818-960e-6db15da10071","resolution":{"observed_at":"2026-07-06T09:42:15.447067Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.469603Z","title":"Coarse grained normal mode analysis vs","venue":null,"work_id":"abd369ed-5ff3-45ac-9a1c-171ec722d5e2","year":2013},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:01bc78377b4a80d1a79c5f0c4ac366c11472370d4fab24ec7e615d417d1f932c","observation_id":"97f842c6-24a9-404c-8507-9eb2a7b6c286","resolution":{"observed_at":"2026-07-06T09:42:15.470857Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.490655Z","title":"Direct evaluation of thermal fluctuations in proteins using a single-parameter harmonic potential.Folding and Design, 2(3):173–181, 1997","venue":null,"work_id":"828eee80-8f76-4076-8718-430e42299cdd","year":1997},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:74e1976463b7c37c4dce982b2f0b8a495c9c28499acf5b939a9d79f9193bb830","observation_id":"188395db-9a70-4e56-ba8a-0793f4583c42","resolution":{"observed_at":"2026-07-06T09:42:15.492086Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.457426Z","title":"Demirel, and Burak Erman","venue":null,"work_id":"66c57abe-78a5-43dc-9ae8-695b243b15da","year":1998},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:4c06f22ffa9bb12c2b01669ea66949909324833d96cea0a87abdb9a4ce58c15f","observation_id":"17987a1b-3dfd-4084-96e2-90b0064902e9","resolution":{"observed_at":"2026-07-06T09:42:15.458650Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.479813Z","title":"Atilgan, S.R","venue":null,"work_id":"a9a07129-b8b6-496c-82d3-365b15b722ce","year":2001},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:1a3c9aadaf002f78b597cfe99bbdf8a7fee44571f8da7359ffd12eab09dad887","observation_id":"29fc316d-ad51-42a9-b14b-740e5c107d5b","resolution":{"observed_at":"2026-07-06T09:42:15.481110Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.441182Z","title":"Communication: Capturing protein multiscale ther- mal fluctuations.The Journal of Chemical Physics, 142(21), 2015","venue":null,"work_id":"bd98efbe-cfe9-48b1-9434-f1c9dd4fce90","year":2015},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:b619ac1bcfbbf03f73913077dfc9f7be3c36c03a3ff5e2ac786606ea3b9abaf2","observation_id":"49787ef1-1583-4edf-b7cc-6b38d4d06b80","resolution":{"observed_at":"2026-07-06T09:42:15.442861Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.499388Z","title":"Multiscale multiphysics and multidomain mod- els—flexibility and rigidity.The Journal of Chemical Physics, 139(19), November 2013","venue":null,"work_id":"956a32e2-d671-4daf-9b1f-b18652da09f2","year":2013},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:a74d5e3dd3f3d3bc524a8bbe3de70b15eb1cee91cdf1a288b872e69e8e593ca2","observation_id":"e6300ea8-6f68-4eee-8c99-a6ac9c91b4eb","resolution":{"observed_at":"2026-07-06T09:42:15.501056Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.459455Z","title":"Stochastic model for protein flexibility analysis.Physical Review E, 88(6), December 2013","venue":null,"work_id":"37ae897f-e9f5-4702-9d51-3a23f32ac9a2","year":2013},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:d7fd3491e6e91a86ca739af54acaa19de7a6d7fd0a5b0ca3aa5f397862d9c341","observation_id":"46fdb73a-ad48-49a1-9d70-cb1d77828d29","resolution":{"observed_at":"2026-07-06T09:42:15.460734Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.455366Z","title":"Fast and anisotropic flexibility-rigidity index for protein flexibility and fluctuation analysis.The Journal of Chemical Physics, 140(23), 2014","venue":null,"work_id":"e097a529-7089-4485-bbe5-0c728a601520","year":2014},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:087e9bc5acb233481b6a4901365fd023b3186123bade77d4ef7b44cffccd8d62","observation_id":"6aa34463-a847-40f0-a760-43fb0e36c7e2","resolution":{"observed_at":"2026-07-06T09:42:15.456824Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.473575Z","title":"Zhao, and Guo-Wei Wei","venue":null,"work_id":"0389e94a-407e-4921-b1d3-131e35ac36eb","year":2025},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:955a8bf9493cd46714a972f8aeeb689f4f16e99b2c7ffc07b51ec1312ab2a86f","observation_id":"85b2ba01-9396-4c36-9600-7e494187d52c","resolution":{"observed_at":"2026-07-06T09:42:15.474833Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.463360Z","title":"Topological magnitude for protein flexibility analysis.Royal Society Open Science, 12(12), December 2025","venue":null,"work_id":"8fe9e9fa-f61e-42a4-8ac4-21855245be7b","year":2025},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:ee69decef8c64df4ebdcf99af9a0a19b4cdb525e07cb37ef17e2868d979f35b6","observation_id":"c6fd3436-cc6f-4391-bc89-9c99f85f3418","resolution":{"observed_at":"2026-07-06T09:42:15.464792Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.438795Z","title":"Persistent stanley–reisner theory.Foundations of Data Science, 8:287–312, 2026","venue":null,"work_id":"46c97a8a-e7be-4d0f-97ff-93a027f6e856","year":2026},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:7255ba4a3754a51c2ca11a490bfa77cd2296dea27017e9faaaca5a24cfad1b57","observation_id":"04a2cf1a-52c8-4e9c-bf74-0148361db9ca","resolution":{"observed_at":"2026-07-06T09:42:15.440577Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.461313Z","title":"Persistent spectral graph.International Journal for Numerical Methods in Biomedical Engineering, 36(9):e3376, 2020","venue":null,"work_id":"c48806c7-6837-4373-9709-ac8746dd1964","year":2020},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:842b1c5ac2abcb17ee040e47d900250e6cad6fe420e67ccd2c0bdbeaec0caa50","observation_id":"79b21df5-e449-4bf3-a3bf-51eb6ef60b7e","resolution":{"observed_at":"2026-07-06T09:42:15.462756Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.497222Z","title":"Persistent mayer homology and persistent mayer laplacian.Foun- dations of Data Science, 6(4):584–612, 2024","venue":null,"work_id":"2a8e742c-021c-4ac3-9384-2de63980cf13","year":2024},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:e404e1e85bac091cb5d1e8ba7603decbad38d4062ffae399251ef8886ff94c61","observation_id":"7762ba8a-5bb1-4b96-9749-459f639a78da","resolution":{"observed_at":"2026-07-06T09:42:15.498812Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2603.07591","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-02T01:46:26.148579Z","title":"Local laplacian: theory and models for data analysis.arXiv preprint arXiv:2603.07591, 2026","venue":null,"work_id":"278ef56c-0396-409e-bfa1-ee1163de9d52","year":2026},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:6372100b393dd002c707468ab3377af1ef498ed6a4d42ba9e708bbad6979b845","observation_id":"2b761e2e-6a2a-449f-a36e-ea0a7e3d9d67","resolution":{"observed_at":"2026-07-02T01:46:26.150655Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.494842Z","title":"Persistent laplacians: Properties, algorithms and implications.SIAM Journal on Mathematics of Data Science, 4(2):858–884, 2022","venue":null,"work_id":"5ee06a26-b37d-483b-84d0-a81b556bb538","year":2022},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:7864248b46858dcc2585a3622fd2bb74c61dad3f3c9f4ee3a367f4ad5aafece0","observation_id":"4816d28f-710d-40cd-b1b0-0b14728d10d3","resolution":{"observed_at":"2026-07-06T09:42:15.496580Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.492732Z","title":"Virtual screening of drugbank database for herg blockers using topological laplacian-assisted ai models.Computers in biology and medicine, 153:106491, 2023","venue":null,"work_id":"340da6ef-76d1-453d-9a3a-85ac2d4b283f","year":2023},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:5dc24183c364a5eb44fd7feaa890d0f603af24c3ca9068a7daf9b394c1e3748f","observation_id":"96298e08-87a7-4b1b-bba1-b49e59b980c1","resolution":{"observed_at":"2026-07-06T09:42:15.494256Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2603.21503","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-02T01:46:26.145281Z","title":"Persistent local laplacian prediction of protein-ligand binding affinities","venue":null,"work_id":"4736f7ba-2f53-404d-a3a7-f06b2b64f115","year":2026},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:db826b6c1b9e37da302574033396cf85eec3ae868945710959953527bfe2b793","observation_id":"48c934fe-8429-4715-838c-da0292b1fd83","resolution":{"observed_at":"2026-07-02T01:46:26.147365Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.475388Z","title":"Caml: Commutative algebra machine learning-a case study on protein–ligand binding affin- ity prediction.Journal of Chemical Information and Modeling, 65(13):6732–6743, 2025","venue":null,"work_id":"25534e65-9861-4198-bd68-5a5070e378e3","year":2025},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:ac6df5d595f263193f6fe012b332a0cd3cb2d09dc505aed103617aa29e05fe20","observation_id":"0bec2e6f-9f1a-4059-b48a-f5238ba2d97b","resolution":{"observed_at":"2026-07-06T09:42:15.476842Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.488481Z","title":"Cap: Commutative algebra prediction of protein-nucleic acid binding affinities.Machine Learning: Science and T echnology, 6(4):045068, 2025","venue":null,"work_id":"10709e0f-725f-4e3c-8631-8356af013ebd","year":2025},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:b86dcf7860c7182255398d7c77d6841ab401adf16b817c8bd47af49f286eb055","observation_id":"b4d3f6c4-88f7-4e0a-bd79-3e05df2a6cf5","resolution":{"observed_at":"2026-07-06T09:42:15.489941Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2509.26566","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-02T01:46:26.151892Z","title":"Com- mutative algebra neural network reveals genetic origins of diseases.arXiv preprint arXiv:2509.26566, 2025","venue":null,"work_id":"94f17cdb-9bed-4c6a-9773-c03c847c592e","year":2025},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:aeb70787265f31c2ea34907b32090f4e00452aaf04dc1f35c35b6509a5cd9225","observation_id":"9934122e-a7db-4db6-b74b-413c68478d1d","resolution":{"observed_at":"2026-07-02T01:46:26.154204Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-13T20:45:10.869190Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"cited_work":{"arxiv_id":"2508.09406","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2508.09406","snapshot_observed_at":"2026-08-07T01:35:51.098571Z","title":"Cakl: Commutative algebra k-mer learning of genomics,","venue":null,"work_id":"bab5276a-b040-4e02-b809-dba460fb3e3b","year":2025},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"cited_paper":"/paper/2508.09406","citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:836a8bd27d50545b3aca5e1f5314b1401f6028dc5efdd137af8013c74f189b41","observation_id":"297e1bbe-8b0f-46f9-9fbd-47acc8b203c6","resolution":{"observed_at":"2026-08-07T01:35:51.098571Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.443418Z","title":"Commu- tative algebra modeling in materials science–a case study on metal–organic frameworks (mofs).Journal of Chemical Information and Modeling, 66(5):2584–2596, 2026","venue":null,"work_id":"c2e58a4a-51c7-47fc-b7f9-83c5ad846e53","year":2026},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:b71ac736e6159c5721a1215773c0307e918cb9cbdffb66156578593edd111b33","observation_id":"10cdd7ba-0006-4d60-87fd-33dbbac7160a","resolution":{"observed_at":"2026-07-06T09:42:15.444870Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.484030Z","title":"Atom-specific persistent homology and its application to protein flexibility analysis.Computational and Mathematical Biophysics, 8(1):1–35, January 2020","venue":null,"work_id":"a6f31dc4-1ce2-4d31-8d29-a789ff41fc6a","year":2020},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:3797979664182e153e990630027a1a35575cf4ec35f3719266bf09cfe98f2bad","observation_id":"a8a76989-b4ca-4bf0-86ff-b12483b5c2af","resolution":{"observed_at":"2026-07-06T09:42:15.485466Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.486355Z","title":"Heinig and D","venue":null,"work_id":"ff301cf5-0cfb-4463-ba96-9067c5bb159f","year":2004},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:163f46f800144d8ff7627d42ce8a567a0f890bfaaa19d3f4b755530c712b1066","observation_id":"636ae6a1-618d-4fd2-b414-dc2f83218a91","resolution":{"observed_at":"2026-07-06T09:42:15.487726Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-07-06T09:42:15.471444Z","title":"Vmd: Visual molecular dynamics.Journal of Molecular Graphics, 14(1):33–38, February 1996","venue":null,"work_id":"090dd8c8-7429-4dd3-8f37-3ea5484f0ec0","year":1996},"citing_paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-07-02T01:43:10.447620Z"},"links":{"citing_paper":"/paper/2607.00879"},"observation_digest":"sha256:d667cb568706c66151dd0925824ca07f31e85c7ba7615418dadf757f6c3a1889","observation_id":"5fa0abd9-3186-46a2-ac47-9e0d0dce1267","resolution":{"observed_at":"2026-07-06T09:42:15.472915Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2607.00879","last_updated":"2026-07-01T12:44:00Z","latest_version":1,"primary_category":"q-bio.BM","snapshot_observed_at":"2026-08-20T11:04:01.275310Z","submitted_at":"2026-07-01T12:44:00Z","title":"Commutative Algebra Learning for Protein Flexibility Analysis"},"reference_resolution":{"displayed":34,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":4,"verified_fuzzy":28},"total_outbound_references":34},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 1 inbound Pith citation observation for arXiv:2607.00879."}