{"as_of":"2026-08-16T22:17:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4ad760a87cf88ddce8c5582619ef57ee599bcc2478f731fb718bdf01940ca6bc","coverage":[{"denominator":16,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":16,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T14:31:31.919208Z","state":"measured"},{"denominator":16,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":16,"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/1908.03172/citation-record","integrity":"/paper/1908.03172/integrity","json":"/paper/1908.03172/citation-record.json","paper":"/paper/1908.03172"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:31:32.598919Z","title":"Appel and W","venue":null,"work_id":"4ffa7ca7-b5b7-46bd-9a0d-1b9bcacb588c","year":1977},"citing_paper":{"arxiv_id":"1908.03172","last_updated":"2019-08-08T17:04:40Z","snapshot_observed_at":"2026-08-16T06:30:02.128658Z","submitted_at":"2019-08-08T17:04:40Z","title":"Planar graphs with girth at least 5 are (3,4)-colorable","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:31.728766Z"},"links":{"citing_paper":"/paper/1908.03172"},"observation_digest":"sha256:63c90ae7f8fe853b83ce3ec7dd08d2ec54915abdbbd117765d44e9266c714635","observation_id":"fd1cd6df-8297-44ea-805d-5bc8116d206f","resolution":{"observed_at":"2026-08-14T14:31:32.606760Z","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":"2026-08-14T14:31:32.564934Z","title":"Appel, W","venue":null,"work_id":"92d38866-1159-49d0-b191-82a09f4501af","year":1977},"citing_paper":{"arxiv_id":"1908.03172","last_updated":"2019-08-08T17:04:40Z","snapshot_observed_at":"2026-08-16T06:30:02.128658Z","submitted_at":"2019-08-08T17:04:40Z","title":"Planar graphs with girth at least 5 are (3,4)-colorable","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:31.742674Z"},"links":{"citing_paper":"/paper/1908.03172"},"observation_digest":"sha256:e9440bcda811c9a724044ea7bdffe7f0d8d4dcce2353ab489f18a8e0177adad0","observation_id":"5130545a-e063-441e-8550-95203fd8d1e5","resolution":{"observed_at":"2026-08-14T14:31:32.575792Z","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":"2026-08-14T14:31:32.532179Z","title":null,"venue":null,"work_id":"de6a5a86-c2e2-47d3-b3ac-2fe10cfd72a5","year":2010},"citing_paper":{"arxiv_id":"1908.03172","last_updated":"2019-08-08T17:04:40Z","snapshot_observed_at":"2026-08-16T06:30:02.128658Z","submitted_at":"2019-08-08T17:04:40Z","title":"Planar graphs with girth at least 5 are (3,4)-colorable","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:31.754564Z"},"links":{"citing_paper":"/paper/1908.03172"},"observation_digest":"sha256:21386f1400c27e07caea7a12ec7aa18827384dda84e136ccd68da2db94ad8ab6","observation_id":"311edf88-3452-4cca-abe3-3e59db4fe0e9","resolution":{"observed_at":"2026-08-14T14:31:32.542850Z","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":"2026-08-14T14:31:32.510896Z","title":null,"venue":null,"work_id":"20358fe6-e6aa-4a6a-a9ff-d6ea8cd8936c","year":2013},"citing_paper":{"arxiv_id":"1908.03172","last_updated":"2019-08-08T17:04:40Z","snapshot_observed_at":"2026-08-16T06:30:02.128658Z","submitted_at":"2019-08-08T17:04:40Z","title":"Planar graphs with girth at least 5 are (3,4)-colorable","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:31.777047Z"},"links":{"citing_paper":"/paper/1908.03172"},"observation_digest":"sha256:8e376c9c7f6358ef50b376da609de034e4d14f6611135eb3ced041c2db85fa65","observation_id":"9901d8d8-9fb8-4f65-bf90-d6be3f5f1f19","resolution":{"observed_at":"2026-08-14T14:31:32.518084Z","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":"2026-08-14T14:31:32.468152Z","title":null,"venue":null,"work_id":"4f61a20a-f9de-48ab-b56e-4d3c8b16bbc8","year":2011},"citing_paper":{"arxiv_id":"1908.03172","last_updated":"2019-08-08T17:04:40Z","snapshot_observed_at":"2026-08-16T06:30:02.128658Z","submitted_at":"2019-08-08T17:04:40Z","title":"Planar graphs with girth at least 5 are (3,4)-colorable","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:31.782596Z"},"links":{"citing_paper":"/paper/1908.03172"},"observation_digest":"sha256:8024a966f6d6658a99b05780e1621f6c041fb08943cbe2d6ecd078e564d347a5","observation_id":"16bc525c-a7d9-445e-9ff5-fe99c6028f59","resolution":{"observed_at":"2026-08-14T14:31:32.475927Z","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":"2026-08-14T14:31:32.422067Z","title":null,"venue":null,"work_id":"ac7b49cc-0fa0-4d09-84d2-82f0c3813cb7","year":2014},"citing_paper":{"arxiv_id":"1908.03172","last_updated":"2019-08-08T17:04:40Z","snapshot_observed_at":"2026-08-16T06:30:02.128658Z","submitted_at":"2019-08-08T17:04:40Z","title":"Planar graphs with girth at least 5 are (3,4)-colorable","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:31.796102Z"},"links":{"citing_paper":"/paper/1908.03172"},"observation_digest":"sha256:75de6b9d5fca5b23d5c066fd231c9ae36fb3ea8ea06f167457415ef711b264a6","observation_id":"9020c311-c0da-4a7b-b214-80c322e7dbbf","resolution":{"observed_at":"2026-08-14T14:31:32.439859Z","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":"2026-08-14T14:31:32.379366Z","title":"(1 , k)-coloring of graphs with girth at least five on a surface","venue":null,"work_id":"47b82353-5f12-47f4-b63a-df92641be38f","year":2017},"citing_paper":{"arxiv_id":"1908.03172","last_updated":"2019-08-08T17:04:40Z","snapshot_observed_at":"2026-08-16T06:30:02.128658Z","submitted_at":"2019-08-08T17:04:40Z","title":"Planar graphs with girth at least 5 are (3,4)-colorable","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:31.802310Z"},"links":{"citing_paper":"/paper/1908.03172"},"observation_digest":"sha256:db149af1e27012353a3c6c58ab21bec8565f4095d0634ed58fa092c86ca0a221","observation_id":"8536648e-0863-413e-b2bf-fa66f68bfa92","resolution":{"observed_at":"2026-08-14T14:31:32.387825Z","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":"2026-08-14T14:31:32.345252Z","title":"Choi and L","venue":null,"work_id":"bb9a0646-7647-4557-92f4-d5fba116dffd","year":2016},"citing_paper":{"arxiv_id":"1908.03172","last_updated":"2019-08-08T17:04:40Z","snapshot_observed_at":"2026-08-16T06:30:02.128658Z","submitted_at":"2019-08-08T17:04:40Z","title":"Planar graphs with girth at least 5 are (3,4)-colorable","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:31.811483Z"},"links":{"citing_paper":"/paper/1908.03172"},"observation_digest":"sha256:340c3756f05cf8349921768ca6200878df6b5e103b9eb88d73c0f4f1a73f98e2","observation_id":"d7492a4d-9609-458f-a85d-ec4d25b5fefd","resolution":{"observed_at":"2026-08-14T14:31:32.354383Z","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":"2026-08-14T14:31:32.317181Z","title":"Planar graphs with girth at least 5 are (3 , 5)-colorable","venue":null,"work_id":"0ab6da6c-2351-4d18-9950-f91c0d5b7115","year":2015},"citing_paper":{"arxiv_id":"1908.03172","last_updated":"2019-08-08T17:04:40Z","snapshot_observed_at":"2026-08-16T06:30:02.128658Z","submitted_at":"2019-08-08T17:04:40Z","title":"Planar graphs with girth at least 5 are (3,4)-colorable","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:31.820134Z"},"links":{"citing_paper":"/paper/1908.03172"},"observation_digest":"sha256:0e5e6bca3d26b5499b7b28f5a4787fbf8b0ebaae2bb6bc449ae9b29ed9b4194a","observation_id":"22777b54-8816-4551-9db5-07d927f99ff7","resolution":{"observed_at":"2026-08-14T14:31:32.322390Z","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":"2026-08-14T14:31:32.280731Z","title":null,"venue":null,"work_id":"5d0b047d-6073-4021-8d8e-a9216f9eee7c","year":1986},"citing_paper":{"arxiv_id":"1908.03172","last_updated":"2019-08-08T17:04:40Z","snapshot_observed_at":"2026-08-16T06:30:02.128658Z","submitted_at":"2019-08-08T17:04:40Z","title":"Planar graphs with girth at least 5 are (3,4)-colorable","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:31.833475Z"},"links":{"citing_paper":"/paper/1908.03172"},"observation_digest":"sha256:32e3cdd6f6a84c8629b8a2fa2a833a91bc2fd0c5904af17b0ce9393849ec5868","observation_id":"031fcbe0-2b8f-455f-9272-c0ab64935355","resolution":{"observed_at":"2026-08-14T14:31:32.287685Z","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":"2026-08-14T14:31:32.239950Z","title":"Defective list colorings of planar graphs","venue":null,"work_id":"9b2c84f1-4ed1-4fde-9f99-ff0946612535","year":1999},"citing_paper":{"arxiv_id":"1908.03172","last_updated":"2019-08-08T17:04:40Z","snapshot_observed_at":"2026-08-16T06:30:02.128658Z","submitted_at":"2019-08-08T17:04:40Z","title":"Planar graphs with girth at least 5 are (3,4)-colorable","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:31.843485Z"},"links":{"citing_paper":"/paper/1908.03172"},"observation_digest":"sha256:8eff4205747c0a39a86799ada8b501c9d576cf450a40798b55c4ee8530dd7cbf","observation_id":"bf25c66e-2a24-4af6-8eb3-01ae8c8596a0","resolution":{"observed_at":"2026-08-14T14:31:32.256472Z","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":"2026-08-14T14:31:32.166318Z","title":"Zur Theorie der diskreten Gebilde","venue":null,"work_id":"af51c1a9-2e0d-4a6f-9716-8fc6b5784737","year":1958},"citing_paper":{"arxiv_id":"1908.03172","last_updated":"2019-08-08T17:04:40Z","snapshot_observed_at":"2026-08-16T06:30:02.128658Z","submitted_at":"2019-08-08T17:04:40Z","title":"Planar graphs with girth at least 5 are (3,4)-colorable","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:31.853838Z"},"links":{"citing_paper":"/paper/1908.03172"},"observation_digest":"sha256:142943bba61ee1bcc33b07f618c08cddca5e7fa1f00d8427f4d4a0d914e12775","observation_id":"718375b2-8f79-4f64-8753-09d1f88e2132","resolution":{"observed_at":"2026-08-14T14:31:32.184727Z","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":"2026-08-14T14:31:32.136743Z","title":"Improper choosability of graphs and maximum average degree","venue":null,"work_id":"1cc5ddd7-0391-48aa-be3f-75a15a92341f","year":2006},"citing_paper":{"arxiv_id":"1908.03172","last_updated":"2019-08-08T17:04:40Z","snapshot_observed_at":"2026-08-16T06:30:02.128658Z","submitted_at":"2019-08-08T17:04:40Z","title":"Planar graphs with girth at least 5 are (3,4)-colorable","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:31.878785Z"},"links":{"citing_paper":"/paper/1908.03172"},"observation_digest":"sha256:e7172aaf1b95a1789dd300a447d179de32b7d498f3ed96092bc1b23883d91ece","observation_id":"247fe5ae-889b-4832-9889-fdaf2be472a3","resolution":{"observed_at":"2026-08-14T14:31:32.150659Z","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":"2026-08-14T14:31:32.086535Z","title":"Montassier and P","venue":null,"work_id":"a8f7c088-4416-4aa2-8035-9a5aaae16997","year":2015},"citing_paper":{"arxiv_id":"1908.03172","last_updated":"2019-08-08T17:04:40Z","snapshot_observed_at":"2026-08-16T06:30:02.128658Z","submitted_at":"2019-08-08T17:04:40Z","title":"Planar graphs with girth at least 5 are (3,4)-colorable","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:31.893106Z"},"links":{"citing_paper":"/paper/1908.03172"},"observation_digest":"sha256:a94f1cfc2d3c025bff8bbb00bae7996a8228329b58f83b3451c8b2916e338d6d","observation_id":"f84f3849-0cd2-4745-be02-31ab4a897d65","resolution":{"observed_at":"2026-08-14T14:31:32.096022Z","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":"2026-08-14T14:31:32.057850Z","title":"ˇSkrekovski","venue":null,"work_id":"a2c77638-e7c0-4f78-b050-d6cc1a3fcd7d","year":1999},"citing_paper":{"arxiv_id":"1908.03172","last_updated":"2019-08-08T17:04:40Z","snapshot_observed_at":"2026-08-16T06:30:02.128658Z","submitted_at":"2019-08-08T17:04:40Z","title":"Planar graphs with girth at least 5 are (3,4)-colorable","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:31.913042Z"},"links":{"citing_paper":"/paper/1908.03172"},"observation_digest":"sha256:303b07bf5e7c08215ff963e6f5ff1e93ec8bbff1e5b9a0cf708a564c64b74814","observation_id":"d9dcf308-8ea3-4dc9-b29d-a7edfa2196e3","resolution":{"observed_at":"2026-08-14T14:31:32.065836Z","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":"2026-08-14T14:31:32.008918Z","title":"List improper colorings of planar graphs with prescribed girth","venue":null,"work_id":"70fc9911-3346-41e1-8f96-2c9f655844cf","year":2000},"citing_paper":{"arxiv_id":"1908.03172","last_updated":"2019-08-08T17:04:40Z","snapshot_observed_at":"2026-08-16T06:30:02.128658Z","submitted_at":"2019-08-08T17:04:40Z","title":"Planar graphs with girth at least 5 are (3,4)-colorable","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T14:31:31.919208Z"},"links":{"citing_paper":"/paper/1908.03172"},"observation_digest":"sha256:e067b7d4c960ca874e5cd28e61eadd29d7901a6dd81346ea1505af0a10c3ea90","observation_id":"a66c25d8-501b-4504-b4f5-b5403fd00bb9","resolution":{"observed_at":"2026-08-14T14:31:32.022771Z","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"}}],"paper":{"arxiv_id":"1908.03172","last_updated":"2019-08-08T17:04:40Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-16T06:30:02.128658Z","submitted_at":"2019-08-08T17:04:40Z","title":"Planar graphs with girth at least 5 are (3,4)-colorable"},"reference_resolution":{"displayed":16,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":0,"verified_fuzzy":11},"total_outbound_references":16},"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 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:1908.03172."}