{"as_of":"2026-08-16T14:05:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3407aab1bc93581bfaeed0c336435eec3151c601d61a469bae5f49393ef45949","coverage":[{"denominator":15,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":15,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:22:12.457426Z","state":"measured"},{"denominator":15,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":15,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/1908.05678/citation-record","integrity":"/paper/1908.05678/integrity","json":"/paper/1908.05678/citation-record.json","paper":"/paper/1908.05678"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:22:12.702801Z","title":"Biermann, A","venue":null,"work_id":"117ab035-2029-4966-a624-7476054ef653","year":2017},"citing_paper":{"arxiv_id":"1908.05678","last_updated":"2019-08-15T13:21:13Z","snapshot_observed_at":"2026-08-16T05:23:01.100645Z","submitted_at":"2019-08-15T13:21:13Z","title":"Edge rings of bipartite graphs with linear resolutions","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:12.413239Z"},"links":{"citing_paper":"/paper/1908.05678"},"observation_digest":"sha256:e24248834349273ed9d21a6203112c6e939985763baa5b8a9ef3e0885c31de7a","observation_id":"4c85f7d2-a0ef-4957-a6fd-93209c85d71a","resolution":{"observed_at":"2026-08-14T13:22:12.705399Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:22:12.694472Z","title":"Bruns and J","venue":null,"work_id":"fdd38630-bbdc-408c-be89-895feb8ff368","year":1998},"citing_paper":{"arxiv_id":"1908.05678","last_updated":"2019-08-15T13:21:13Z","snapshot_observed_at":"2026-08-16T05:23:01.100645Z","submitted_at":"2019-08-15T13:21:13Z","title":"Edge rings of bipartite graphs with linear resolutions","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:12.416555Z"},"links":{"citing_paper":"/paper/1908.05678"},"observation_digest":"sha256:0ed6a30d14cb246bddabf44b95a799899154ba94d654e696758af706adbba093","observation_id":"9047283f-2e2e-4fd1-af21-f464ea1322d6","resolution":{"observed_at":"2026-08-14T13:22:12.697260Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1908.02744","last_updated":"2019-08-07T17:50:20Z","snapshot_observed_at":"2026-08-16T04:38:17.408492Z","submitted_at":"2019-08-07T17:50:20Z","title":"Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs","version":1},"cited_work":{"arxiv_id":"1908.02744","doi":null,"metadata_source":"pith","pith_arxiv_id":"1908.02744","snapshot_observed_at":"2026-08-14T13:22:12.484143Z","title":"Green-Lazarsfeld Condition for Toric Edge Ideals of Bipartite Graphs","venue":"math.AC","work_id":"0d16b860-d2dc-4053-9a27-edff94683616","year":2019},"citing_paper":{"arxiv_id":"1908.05678","last_updated":"2019-08-15T13:21:13Z","snapshot_observed_at":"2026-08-16T05:23:01.100645Z","submitted_at":"2019-08-15T13:21:13Z","title":"Edge rings of bipartite graphs with linear resolutions","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:12.420634Z"},"links":{"cited_paper":"/paper/1908.02744","citing_paper":"/paper/1908.05678"},"observation_digest":"sha256:cdddd4bd199b30ce2d2e285344af88f350a2e4641148240da036ebb952ac040b","observation_id":"dc6ed7b5-4885-4fcf-9990-01becc1eed2f","resolution":{"observed_at":"2026-08-14T13:22:12.489901Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:22:12.685789Z","title":null,"venue":null,"work_id":"1450d805-507e-4561-9e99-532e5919072a","year":2019},"citing_paper":{"arxiv_id":"1908.05678","last_updated":"2019-08-15T13:21:13Z","snapshot_observed_at":"2026-08-16T05:23:01.100645Z","submitted_at":"2019-08-15T13:21:13Z","title":"Edge rings of bipartite graphs with linear resolutions","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:12.424192Z"},"links":{"citing_paper":"/paper/1908.05678"},"observation_digest":"sha256:7dc25bae207010021c60d70a16e2e94c16d01cfd79afa6a027dfbc1c2f3854cf","observation_id":"cd12fb47-5e09-4857-9bb5-810e62ae2a2f","resolution":{"observed_at":"2026-08-14T13:22:12.689242Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:22:12.593112Z","title":"Herzog, T","venue":null,"work_id":"80c8403c-d377-4286-880f-377d28b40086","year":2018},"citing_paper":{"arxiv_id":"1908.05678","last_updated":"2019-08-15T13:21:13Z","snapshot_observed_at":"2026-08-16T05:23:01.100645Z","submitted_at":"2019-08-15T13:21:13Z","title":"Edge rings of bipartite graphs with linear resolutions","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:12.427198Z"},"links":{"citing_paper":"/paper/1908.05678"},"observation_digest":"sha256:d03f5798da83fff7f16bc01bc9c4b963c2b63c02abcb5ab14e646ed836dd13ba","observation_id":"159df4b2-ddd6-438c-8f61-23ecaf0f86eb","resolution":{"observed_at":"2026-08-14T13:22:12.595982Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:22:12.583550Z","title":"Algebraic Combinatorics on Convex Polytopes,","venue":null,"work_id":"884fd6a1-49bb-4e6e-822e-eb3444ea6c5f","year":1992},"citing_paper":{"arxiv_id":"1908.05678","last_updated":"2019-08-15T13:21:13Z","snapshot_observed_at":"2026-08-16T05:23:01.100645Z","submitted_at":"2019-08-15T13:21:13Z","title":"Edge rings of bipartite graphs with linear resolutions","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:12.430327Z"},"links":{"citing_paper":"/paper/1908.05678"},"observation_digest":"sha256:ff22ba20c764435ae68aa95b2f2102f5df9a3f0ffd35053739a12d7a5ecad320","observation_id":"9f9d609b-ff11-41ad-8d26-e83d47657125","resolution":{"observed_at":"2026-08-14T13:22:12.586965Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:22:12.574447Z","title":null,"venue":null,"work_id":"8059b6bc-0bd6-440e-adb8-832268d67bbe","year":2019},"citing_paper":{"arxiv_id":"1908.05678","last_updated":"2019-08-15T13:21:13Z","snapshot_observed_at":"2026-08-16T05:23:01.100645Z","submitted_at":"2019-08-15T13:21:13Z","title":"Edge rings of bipartite graphs with linear resolutions","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:12.434349Z"},"links":{"citing_paper":"/paper/1908.05678"},"observation_digest":"sha256:f3255a898fe1e6dd5d264fa1d840683f7dde7b9094c7a81299b19501f62ac15c","observation_id":"9fc6292e-6461-4ff7-ac26-0d92b952878c","resolution":{"observed_at":"2026-08-14T13:22:12.577822Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:22:12.565015Z","title":"Hofscheier, L","venue":null,"work_id":"1adf28c6-118c-4c26-8fd2-9f62dbf36a12","year":2018},"citing_paper":{"arxiv_id":"1908.05678","last_updated":"2019-08-15T13:21:13Z","snapshot_observed_at":"2026-08-16T05:23:01.100645Z","submitted_at":"2019-08-15T13:21:13Z","title":"Edge rings of bipartite graphs with linear resolutions","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:12.437171Z"},"links":{"citing_paper":"/paper/1908.05678"},"observation_digest":"sha256:6b268135f2d172d0984edb9868b58d9d8369ce218ff59fa27bcdbeb106f094bd","observation_id":"7e063832-3f8f-4a23-bc3b-13b2260b0309","resolution":{"observed_at":"2026-08-14T13:22:12.567965Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:22:12.555843Z","title":"K´ alm´ an and A","venue":null,"work_id":"8ced3f35-7077-48f5-8805-dd5d459901ed","year":2017},"citing_paper":{"arxiv_id":"1908.05678","last_updated":"2019-08-15T13:21:13Z","snapshot_observed_at":"2026-08-16T05:23:01.100645Z","submitted_at":"2019-08-15T13:21:13Z","title":"Edge rings of bipartite graphs with linear resolutions","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:12.440139Z"},"links":{"citing_paper":"/paper/1908.05678"},"observation_digest":"sha256:1cc135e8c9b9c0ff469cc4fd6249bd0566a694dd9ac0aeb4e83e92a06b743e31","observation_id":"a184a9d2-ed5b-4903-98f3-ae6d200a9faa","resolution":{"observed_at":"2026-08-14T13:22:12.558898Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:22:12.546471Z","title":"Ohsugi and T","venue":null,"work_id":"5a67659c-1b7d-41e6-b96d-03891c1ba385","year":1998},"citing_paper":{"arxiv_id":"1908.05678","last_updated":"2019-08-15T13:21:13Z","snapshot_observed_at":"2026-08-16T05:23:01.100645Z","submitted_at":"2019-08-15T13:21:13Z","title":"Edge rings of bipartite graphs with linear resolutions","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:12.443093Z"},"links":{"citing_paper":"/paper/1908.05678"},"observation_digest":"sha256:435ffebbe92709f42dc145019fda23529f546d9cc2cf655fdd2fd46eac2cd8b2","observation_id":"d3debfae-c4f1-44f3-8dd0-b8de4d2dbc5e","resolution":{"observed_at":"2026-08-14T13:22:12.549485Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:22:12.536882Z","title":"Ohsugi and T","venue":null,"work_id":"82f69b12-f9cd-4967-906a-5ca4bb9ad8a8","year":1999},"citing_paper":{"arxiv_id":"1908.05678","last_updated":"2019-08-15T13:21:13Z","snapshot_observed_at":"2026-08-16T05:23:01.100645Z","submitted_at":"2019-08-15T13:21:13Z","title":"Edge rings of bipartite graphs with linear resolutions","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:12.446152Z"},"links":{"citing_paper":"/paper/1908.05678"},"observation_digest":"sha256:e904ff42d2a37fb9d3268b66aa5eb7cb14e2174d8c13961d44c0964c740b84dd","observation_id":"578c6919-8298-43a1-b1c7-73328bdd3e1c","resolution":{"observed_at":"2026-08-14T13:22:12.540122Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:22:12.527076Z","title":"Ohsugi and T","venue":null,"work_id":"590b2f56-a7de-45dc-b928-64614928016b","year":1999},"citing_paper":{"arxiv_id":"1908.05678","last_updated":"2019-08-15T13:21:13Z","snapshot_observed_at":"2026-08-16T05:23:01.100645Z","submitted_at":"2019-08-15T13:21:13Z","title":"Edge rings of bipartite graphs with linear resolutions","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:12.449028Z"},"links":{"citing_paper":"/paper/1908.05678"},"observation_digest":"sha256:88d8820f88a71e4c39503e6eccc77c87ca5adbd511fa5a512cbc0c50343b2a73","observation_id":"53ccff60-da37-42bf-80cc-db6dfc0e56e2","resolution":{"observed_at":"2026-08-14T13:22:12.530323Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:22:12.516991Z","title":null,"venue":null,"work_id":"afb59345-b70d-4d52-b502-5daa375784ba","year":1993},"citing_paper":{"arxiv_id":"1908.05678","last_updated":"2019-08-15T13:21:13Z","snapshot_observed_at":"2026-08-16T05:23:01.100645Z","submitted_at":"2019-08-15T13:21:13Z","title":"Edge rings of bipartite graphs with linear resolutions","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:12.451494Z"},"links":{"citing_paper":"/paper/1908.05678"},"observation_digest":"sha256:9712d1461ed904b99d91f624ce5f165f4b09d69212c246d87de0304aa4242afd","observation_id":"7d934c95-5c21-47ab-a903-01ccaf9acd42","resolution":{"observed_at":"2026-08-14T13:22:12.520633Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:22:12.506554Z","title":"Gr¨ obner bases and convex polytopes","venue":null,"work_id":"a9cd8a14-0c20-42d0-9b3e-cec7eb8eae9f","year":1996},"citing_paper":{"arxiv_id":"1908.05678","last_updated":"2019-08-15T13:21:13Z","snapshot_observed_at":"2026-08-16T05:23:01.100645Z","submitted_at":"2019-08-15T13:21:13Z","title":"Edge rings of bipartite graphs with linear resolutions","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:12.454518Z"},"links":{"citing_paper":"/paper/1908.05678"},"observation_digest":"sha256:fdda2311a9dc0d71a5a52004014b3e18d77b64bb2077e364a034a24a0ed0d457","observation_id":"2ff92ca2-70f3-4325-84c7-5fbd9e0a5865","resolution":{"observed_at":"2026-08-14T13:22:12.509827Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:22:12.497537Z","title":null,"venue":null,"work_id":"2ba7daa4-f9c4-43c6-bc95-ceaf1110a468","year":2006},"citing_paper":{"arxiv_id":"1908.05678","last_updated":"2019-08-15T13:21:13Z","snapshot_observed_at":"2026-08-16T05:23:01.100645Z","submitted_at":"2019-08-15T13:21:13Z","title":"Edge rings of bipartite graphs with linear resolutions","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:12.457426Z"},"links":{"citing_paper":"/paper/1908.05678"},"observation_digest":"sha256:e558cb11faf4000f486293634b6445ade2c02a412033894576871d85e60afd4a","observation_id":"6ec8fd5f-0323-4d19-8e1d-4fcabd562ff6","resolution":{"observed_at":"2026-08-14T13:22:12.500722Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.05678","last_updated":"2019-08-15T13:21:13Z","latest_version":1,"primary_category":"math.AC","snapshot_observed_at":"2026-08-16T05:23:01.100645Z","submitted_at":"2019-08-15T13:21:13Z","title":"Edge rings of bipartite graphs with linear resolutions"},"reference_resolution":{"displayed":15,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":1,"verified_fuzzy":10},"total_outbound_references":15},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:1908.05678."}