{"as_of":"2026-08-08T16:46:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8efd9ae4ad1a2bf2a838f1092c7df9e1ad56c194a0bad5baa36f46d8fa307dfe","coverage":[{"denominator":36,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":36,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T21:11:53.288674Z","state":"measured"},{"denominator":38,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":38,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-02T01:43:10.447620Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-02T16:27:08.906241Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","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":"2606.06117","last_updated":"2026-06-04T13:05:36Z","snapshot_observed_at":"2026-08-03T22:58:36.165166Z","submitted_at":"2026-06-04T13:05:36Z","title":"$p$-adic Bi-Filtrations for Topological Machine Learning on Genomic Sequences","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-27T22:46:14.315651Z"},"links":{"cited_paper":"/paper/2508.09406","citing_paper":"/paper/2606.06117"},"observation_digest":"sha256:4620119f149ce9bf571ffc9c953b38fc0b0b608b07c7a71ba6e132a17b4be852","observation_id":"1f5263b2-6e0e-4f6d-aac6-4bbfbbf04469","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 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","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":"2026-07-07T00:06:29.765578Z","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":"sha256:3299b03e7051ce73b1fd7b0ce0f24b6888273dbe28f5753ec749b74ae3f04c2b","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 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2508.09406/citation-record","integrity":"/paper/2508.09406/integrity","json":"/paper/2508.09406/citation-record.json","paper":"/paper/2508.09406"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T21:11:58.960773Z","title":"Comparative genomics of the eukaryotes","venue":null,"work_id":"6506edee-d922-425c-8bde-2202875b2833","year":2000},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:50.640477Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:1dd71a914f389bfe229d2c3f49a6ad71a6e148307835caf0e223647dcb3ad772","observation_id":"dd87eb63-5f6d-430d-b617-45bcd0416a27","resolution":{"observed_at":"2026-08-05T21:11:59.078081Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:58.785541Z","title":"VISTA: computational tools for comparative genomics","venue":null,"work_id":"a8d04b41-5b00-432c-8a12-c2cc4a089e7d","year":2004},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:50.682507Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:83379a3b859a17f0214138b939564c22d6bd8dd7c9ce9fd38d9a45671def1f47","observation_id":"ae68f6a7-eb6c-4151-bdf8-eb7c0d8019ff","resolution":{"observed_at":"2026-08-05T21:11:58.839716Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:58.549772Z","title":"Phylogenetic analysis in molecular evolutionary genetics","venue":null,"work_id":"7a52dcac-bf5b-4d05-ad0e-4ea8df5d5d85","year":1996},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:50.757286Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:b3fb7fa0f19700bb799ea3092e8c567b90b244f038e945d1eb96bdf55fae3700","observation_id":"d91023c4-5ef6-421f-93cd-1a554e9f6f1a","resolution":{"observed_at":"2026-08-05T21:11:58.690352Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:58.358366Z","title":"Bellgard, Takeshi Itoh, Hidemi Watanabe, Tadashi Imanishi, and Takashi Gojobori","venue":null,"work_id":"d7742388-a302-4066-998b-aa493a98ba2f","year":1999},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:50.810064Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:e741982888aff446880cb71279b7bea1820c1c9ac13e4d8297adce570e06f591","observation_id":"2c7a5135-f0a0-4354-890e-89b7aaa37683","resolution":{"observed_at":"2026-08-05T21:11:58.434792Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:58.047651Z","title":"Gibson, Kevin Karplus, Weizhong Li, Rodrigo Lopez, Hamish McWilliam, Michael Remmert, Johannes S¨ oding, and et al","venue":null,"work_id":"37da4f7a-6ddb-43fc-aa4c-46e6603052ce","year":2011},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:50.886323Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:a2b80d9a62bd9d0400b25d823b790e4004645a7170437ca379a0084131191a11","observation_id":"9a25f1d8-cc25-4f51-8969-39a5997258ad","resolution":{"observed_at":"2026-08-05T21:11:58.222711Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:57.904303Z","title":"Standley","venue":null,"work_id":"52f06ecd-b1f6-470c-bf90-c647c226a410","year":2013},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:50.979520Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:4b0f0a9488ce2634488c692321a7b9959ec0e2f0951b6c5e173a5f75cc7fd853","observation_id":"24b502a2-6672-47e4-a6d6-03b2f4890e98","resolution":{"observed_at":"2026-08-05T21:11:57.951883Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:57.734326Z","title":null,"venue":null,"work_id":"c116b441-3790-4ef1-b177-9d4962e73cc4","year":2004},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:51.058079Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:2be8f0e7344f409cc7517508a5336f147ac52595087707ddeb6658595206b572","observation_id":"d1b892d7-e41e-47cd-a824-90e657f949e2","resolution":{"observed_at":"2026-08-05T21:11:57.805760Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2106.07292","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T21:11:53.651315Z","title":"Topological data analysis identifies emerging adaptive mutations in sars-cov-2","venue":null,"work_id":"523305ae-fb52-4ae7-86c7-54900ec14cf9","year":2021},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:51.101910Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:ba8dc121a43829c1208f765acb7ae40b52ce3f25091c108e0175e7bb5fd1a4e2","observation_id":"9935dd4b-b436-4d8d-a9d9-2e6e49b12049","resolution":{"observed_at":"2026-08-05T21:11:53.684454Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:57.618641Z","title":"Maranas, Peter K","venue":null,"work_id":"8240ca39-dea6-4eaf-bdbb-f75250b8686f","year":2021},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:51.175667Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:29c749b1ec086baf1e3c713e0de46e2080d68de696a027c42843dc85ebd83b36","observation_id":"bb5fb97d-fa89-40b4-9960-dfff900c6929","resolution":{"observed_at":"2026-08-05T21:11:57.659512Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:57.399952Z","title":"Editorial: Alignment-free methods in computational biology","venue":null,"work_id":"42a9a041-ac9f-4b02-8bd5-a0c8ff886bbc","year":2014},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:51.284927Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:1d53e20b9a57147dae462d22e51c58dea92007736cba3fcdf31bf0169c41b5ed","observation_id":"24655d44-e3af-4c44-b2bd-eb8157dc300f","resolution":{"observed_at":"2026-08-05T21:11:57.476127Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:57.313603Z","title":"Karlowski","venue":null,"work_id":"197146b0-941e-4951-bcdc-facc7346ca1f","year":2017},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:51.360955Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:3d79030b38ce253e9778ce81d75794e6542cdc87a5cc25566cf1b076458a52e5","observation_id":"00a7e132-c590-41c7-87d4-15843eb506fc","resolution":{"observed_at":"2026-08-05T21:11:57.353315Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:57.160868Z","title":"Alignment-free genetic sequence comparisons: a review of recent approaches by word analysis","venue":null,"work_id":"7630840c-98a8-4a4a-b8c6-594b53137910","year":2014},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:51.427368Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:f97f4bd719d03924417bf25c0d5583ddad080c6b6cf0d41724e5e2d55fd28238","observation_id":"08b66bf9-6c13-4d1f-84a0-df5791866552","resolution":{"observed_at":"2026-08-05T21:11:57.259376Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:56.979063Z","title":null,"venue":null,"work_id":"a120921b-7a17-4c60-abb4-4c97ad46580a","year":2016},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:51.430544Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:1d383eba5576887f3ce70f91442d0fe12a99ccff9597df2845c20b776457f72a","observation_id":"fe91a21a-fd75-48d2-bbe8-8e97adc64d9d","resolution":{"observed_at":"2026-08-05T21:11:57.030627Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:56.787935Z","title":"Girgis, Guillaume Bernard, Chris-Andre Leimeister, Kujin Tang, Thomas Dencker, Anna Katharina Lau, Sophie R¨ ohling, Jae Jin Choi, Michael S","venue":null,"work_id":"14b671e3-5e36-4f15-abec-1a2ad4240404","year":2019},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:51.494044Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:3f2930eb08e1517fa3eeb6284164038539e1f40823fb168ddcffd1a5c1766580","observation_id":"7bfba838-209c-49e1-8d45-d3335de799a7","resolution":{"observed_at":"2026-08-05T21:11:56.898283Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:56.669453Z","title":"Edwin Blaisdell","venue":null,"work_id":"7ab3d6cb-8507-4c4a-984a-bbb706e63299","year":1986},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:51.586455Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:35ee3a368b60753be3c6d8426aec60e6bf5eb51f303bd9eb876bfe2db7f72313","observation_id":"aff341a5-0f45-4a84-8c69-2d0c1468b8fa","resolution":{"observed_at":"2026-08-05T21:11:56.720115Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:56.490808Z","title":"McIrvine","venue":null,"work_id":"2f6d6c60-ac90-46a9-8451-51e2287414ce","year":1971},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:51.683299Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:7145de5188f421dac96dc6c48382e58aeb71b6a473a42adaf52a6a926f125e11","observation_id":"ed499549-37e0-4bdd-a7e3-079a214df311","resolution":{"observed_at":"2026-08-05T21:11:56.571913Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:56.373659Z","title":"Otu and Khalid Sayood","venue":null,"work_id":"1e9a8a8a-8354-420b-b12e-340350a7a612","year":2003},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:51.751711Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:3be12350a2f366498bb66cc1bc466653321d28196e7fe39f4791d32228841647","observation_id":"a4041479-fe7c-4fdb-92bf-d687af31a4b7","resolution":{"observed_at":"2026-08-05T21:11:56.408534Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:56.251935Z","title":"An Introduction to Kolmogorov Complexity and Its Applications , volume 3","venue":null,"work_id":"1fd6da40-9974-4155-9738-98797c3e1a22","year":2008},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:51.794014Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:f48dbf333336a5dfaa5734573762906e2a49e29e38a60e338e61042f770ca22f","observation_id":"10304e14-ed83-4ab1-bc19-289763906292","resolution":{"observed_at":"2026-08-05T21:11:56.324738Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:56.059691Z","title":null,"venue":null,"work_id":"787bfdf2-0ee6-4a33-89ae-43facd8c7c18","year":2013},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:51.899406Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:a1ae48f43e0d6518c2f3f36fac2bbeaa2e77aab4dc8399faa2e065cff983ce98","observation_id":"2dafacd1-9631-4248-8d74-eb1dbbc13171","resolution":{"observed_at":"2026-08-05T21:11:56.149446Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:55.874770Z","title":"He, and Stephen S.-T","venue":null,"work_id":"d2e7676b-55f6-4131-a730-8edd27a9cc8f","year":2011},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:51.970648Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:27b5fbd0a6f972a7c4ce4907f63e58f044f55e98656eb31dc53018159482c90f","observation_id":"5d807059-1be8-40a0-8ebd-eed3a8d79c3e","resolution":{"observed_at":"2026-08-05T21:11:55.977477Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:55.614060Z","title":"Joel Jeffrey","venue":null,"work_id":"d408314f-3ae9-408a-88ff-448b7a497ba6","year":1990},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:52.064983Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:ebae58c529decd812841f76d2b3a2cdfecdf122fa13f14fa7e4e0876101d09d0","observation_id":"5e777352-9ef1-4d6b-9422-41792e22d279","resolution":{"observed_at":"2026-08-05T21:11:55.745026Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:55.446147Z","title":"Milestones in graphical bioinformatics","venue":null,"work_id":"f5ab09a3-d868-493d-9bc3-464a9ca2392d","year":2013},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:52.120981Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:ee607f3d81dc948e40d98cf118b22677d7f8bdc920aed3bc72e4cb19f664fff7","observation_id":"4ebc8bea-1068-4e38-9bf2-86be9a8b218c","resolution":{"observed_at":"2026-08-05T21:11:55.525692Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:55.249274Z","title":null,"venue":null,"work_id":"65baf532-be69-4344-93b5-32337dec3807","year":2015},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:52.244790Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:252f66e25cc31adda08ff6862a54220fd476a86be440c0fbfb45f3a7c526c884","observation_id":"7c4a8c52-575c-4b88-a68e-59840b8c96f8","resolution":{"observed_at":"2026-08-05T21:11:55.330664Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:55.101254Z","title":null,"venue":null,"work_id":"57c15bd7-2e95-48f8-a4f6-0897404f8a33","year":2014},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:52.379948Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:c24accca37f3ff6f708209ab780d78c41605fdbec299768c574eb42c852643e2","observation_id":"e0aa63ef-68b9-40f4-a0f2-e33b50a25db0","resolution":{"observed_at":"2026-08-05T21:11:55.186810Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:54.949561Z","title":"Alignment-free method for dna sequence clustering using fuzzy integral similarity","venue":null,"work_id":"3da1e2c5-3c17-4f89-9749-375698b7c3e3","year":2019},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:52.443459Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:23daf9d4bdf4cc94f8bb17313ada0776bc8d20fa32b384254992270f7b4cd99b","observation_id":"08a2d47f-09d8-4d92-998e-d9f30c8b8e11","resolution":{"observed_at":"2026-08-05T21:11:55.025574Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:54.785993Z","title":"He, and Stephen S.-T","venue":null,"work_id":"6de3a149-7ac0-4023-b90e-894eba0be504","year":2010},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:52.498041Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:073d88fe767be9c54edc77f062756daf65106579567c6637114707fc3717f8b0","observation_id":"77f9e5de-885e-45f6-899e-198402e24837","resolution":{"observed_at":"2026-08-05T21:11:54.864482Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:54.657602Z","title":null,"venue":null,"work_id":"242b3219-06a0-4d7d-9eab-bac42e91d72f","year":2083},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:52.584658Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:18a07da1d41efd0bb52d7135229debde771d7c010915cadbfddcb2c786d11a2a","observation_id":"4ffa70c0-33bf-432f-a85b-d6083c2a2d11","resolution":{"observed_at":"2026-08-05T21:11:54.728005Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:54.499771Z","title":"Sims, Se-Ran Jun, Guohong A","venue":null,"work_id":"4e426469-1173-4b68-b223-cfa037a64763","year":2009},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:52.687036Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:58895eeed85187405c1c1d352b9f51cf21ac9a11c5d60ac21a30668070dc299d","observation_id":"b7f5ebc1-54ce-4848-b35f-faec4746e109","resolution":{"observed_at":"2026-08-05T21:11:54.541808Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.3934/fods.2025009","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T21:11:53.390594Z","title":"Persistent stanley–reisner theory","venue":null,"work_id":"c51d2d74-9e2c-4de9-a3bf-ab9490ff091e","year":2025},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:52.810246Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:2e99110604e75342b3d4eb3c9df280878316a037c64a7082ae87b6bc4657d998","observation_id":"a396b586-6f31-4b69-8cf7-843c5ff4f877","resolution":{"observed_at":"2026-08-05T21:11:53.452471Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.20202","last_updated":"2024-12-28T16:26:47Z","snapshot_observed_at":"2026-08-06T07:58:51.804220Z","submitted_at":"2024-12-28T16:26:47Z","title":"Revealing the Shape of Genome Space via K-mer Topology","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.20202","snapshot_observed_at":"2026-08-05T21:11:52.854972Z","title":"Revealing the shape of genome space via k-mer topology","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:52.854972Z"},"links":{"cited_paper":"/paper/2412.20202","citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:c70931ba48a97064ac89c2473d14193f2e3576bab6c6262e7478f30d220815b8","observation_id":"1a314074-d258-45f6-8243-3f75e454df7f","resolution":{"observed_at":"2026-08-05T21:11:52.854972Z","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":"2026-08-05T21:11:54.342917Z","title":null,"venue":null,"work_id":"989c167e-44f6-4cbb-8fd6-a466bf99cc79","year":2021},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:52.917791Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:cc54194accf9ab41435687ebe9ce06b1870825642408f5931031790c1a9f5c08","observation_id":"c6e7976f-9f59-48c0-a126-db2978805413","resolution":{"observed_at":"2026-08-05T21:11:54.433375Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:54.185874Z","title":"Statistical measures of dna sequence dissim- ilarity under markov chain models of base composition","venue":null,"work_id":"7c4b5e09-1752-4102-b8b6-262d3d634a52","year":2001},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:53.047620Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:e425065e87fdc5a16898481451f342842b148a927050aa27e65efddd5b423505","observation_id":"e0c64683-9294-4fee-a190-78c3d77a5b0c","resolution":{"observed_at":"2026-08-05T21:11:54.252845Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:54.029810Z","title":"The biological and clinical significance of emerging sars-cov-2 variants","venue":null,"work_id":"e613634c-6838-4632-9c02-a58b4c7de352","year":2021},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:53.134070Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:848b5434954849eae59b893e9ce544de9bd86589f4f9e9a8ad85e97bc0c91ad2","observation_id":"d9e3853e-b50e-4feb-a0d3-316fe024237e","resolution":{"observed_at":"2026-08-05T21:11:54.105832Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:53.877846Z","title":"Omicron ba","venue":null,"work_id":"fb442d63-5e0a-4116-8aa2-8622b4d6a63a","year":2022},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:53.186077Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:d0be93eaa4b62719ed190c89b522740fc0b0b7851d63242d0b00388f08c63d59","observation_id":"c8a7c076-b897-4d64-943c-cb5bb41dd400","resolution":{"observed_at":"2026-08-05T21:11:53.923280Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-05T21:11:53.756469Z","title":"Interactive tree of life (itol) v6: recent updates to the phylogenetic tree display and annotation tool","venue":null,"work_id":"7cce7c0f-9ff2-40ce-a443-d8da3673f23a","year":2024},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:53.248238Z"},"links":{"citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:886ed456f14284fdbe85e1f0c3118ebfd694c8746dfc53648a31d8924dbd136c","observation_id":"3de2e2b7-e755-4883-9d6c-706ed5749691","resolution":{"observed_at":"2026-08-05T21:11:53.815545Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2507.19504","last_updated":"2025-07-12T16:08:11Z","snapshot_observed_at":"2026-08-08T15:45:25.198175Z","submitted_at":"2025-07-12T16:08:11Z","title":"Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.19504","snapshot_observed_at":"2026-08-05T21:11:53.288674Z","title":"Topological data analysis and topological deep learning beyond persistent homology-a review","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-05T21:11:53.288674Z"},"links":{"cited_paper":"/paper/2507.19504","citing_paper":"/paper/2508.09406"},"observation_digest":"sha256:a33bc66a8a50fabc2985fa7d350f133d1e37e4296e54cd6c43603ac501ef95d9","observation_id":"e0422880-12d5-491f-aa1c-06debe7da956","resolution":{"observed_at":"2026-08-05T21:11:53.288674Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2508.09406","last_updated":"2025-08-13T00:43:32Z","latest_version":1,"primary_category":"q-bio.QM","snapshot_observed_at":"2026-08-08T15:45:55.034474Z","submitted_at":"2025-08-13T00:43:32Z","title":"CAKL: Commutative algebra k-mer learning of genomics"},"reference_resolution":{"displayed":36,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":9,"verified_exact":2,"verified_fuzzy":25},"total_outbound_references":36},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 2 inbound Pith citation observations for arXiv:2508.09406."}