{"as_of":"2026-08-11T02:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a129d3b5abc0f1d6d10f6da90535f38686d312b70503c127ea02a8423a922c00","coverage":[{"denominator":18,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":18,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-09T22:00:36.730949Z","state":"measured"},{"denominator":18,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":18,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+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/2607.07030/citation-record","integrity":"/paper/2607.07030/integrity","json":"/paper/2607.07030/citation-record.json","paper":"/paper/2607.07030"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T22:06:35.663109Z","title":"Albrechtsen, R","venue":null,"work_id":"0aff16da-9a09-4fef-814c-ab8615f4b134","year":2026},"citing_paper":{"arxiv_id":"2607.07030","last_updated":"2026-07-08T06:04:36Z","snapshot_observed_at":"2026-08-09T13:28:17.611411Z","submitted_at":"2026-07-08T06:04:36Z","title":"A coarse block-cutvertex tree-decomposition","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-09T22:00:36.730949Z"},"links":{"citing_paper":"/paper/2607.07030"},"observation_digest":"sha256:b604d5d30d064207db178bb499f69f9a12702b9516d4bc955e49a85bf2bd9c1e","observation_id":"9d0d1b23-f305-4d36-acb7-21e1e28bf89a","resolution":{"observed_at":"2026-07-09T22:06:35.664562Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2510.14644","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T22:06:35.252970Z","title":"Albrechtsen, M","venue":null,"work_id":"696cfeb9-ef42-4e87-b4bb-f4db17a2d2a5","year":2025},"citing_paper":{"arxiv_id":"2607.07030","last_updated":"2026-07-08T06:04:36Z","snapshot_observed_at":"2026-08-09T13:28:17.611411Z","submitted_at":"2026-07-08T06:04:36Z","title":"A coarse block-cutvertex tree-decomposition","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-09T22:00:36.730949Z"},"links":{"citing_paper":"/paper/2607.07030"},"observation_digest":"sha256:6093d87606a861622d0e77a82ce603cf8f91ce184c9df1f61242356ba605a674","observation_id":"e07d950a-e5ee-40e3-a705-8307a5fa2f52","resolution":{"observed_at":"2026-07-09T22:06:35.255101Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2601.05761","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T22:06:35.247056Z","title":"Albrechtsen, M","venue":null,"work_id":"2dff130d-d2b8-4854-b3f4-4d2223278eed","year":2026},"citing_paper":{"arxiv_id":"2607.07030","last_updated":"2026-07-08T06:04:36Z","snapshot_observed_at":"2026-08-09T13:28:17.611411Z","submitted_at":"2026-07-08T06:04:36Z","title":"A coarse block-cutvertex tree-decomposition","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-09T22:00:36.730949Z"},"links":{"citing_paper":"/paper/2607.07030"},"observation_digest":"sha256:35c90d8bfe79466b56bd1ab8adbe2cfa8083dbe7fe58d2331cd456cbfad8ca67","observation_id":"cfda8c43-170f-405e-a063-b35d3842bbe5","resolution":{"observed_at":"2026-07-09T22:06:35.248754Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T22:06:35.659333Z","title":"Albrechtsen, T","venue":null,"work_id":"c18cb350-0051-416a-8e0a-732d299458e8","year":2024},"citing_paper":{"arxiv_id":"2607.07030","last_updated":"2026-07-08T06:04:36Z","snapshot_observed_at":"2026-08-09T13:28:17.611411Z","submitted_at":"2026-07-08T06:04:36Z","title":"A coarse block-cutvertex tree-decomposition","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-09T22:00:36.730949Z"},"links":{"citing_paper":"/paper/2607.07030"},"observation_digest":"sha256:89527ae88e0325d1f4173aa1dca9a0192dfc0e6333d6530b1f5bc4842af8d7d6","observation_id":"8415c227-4cad-4cc0-bda0-fb39da01e307","resolution":{"observed_at":"2026-07-09T22:06:35.660562Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T22:06:35.645333Z","title":"Albrechtsen, R","venue":null,"work_id":"566c6a2d-1c91-470b-b9f8-0d0cf7ce057d","year":2025},"citing_paper":{"arxiv_id":"2607.07030","last_updated":"2026-07-08T06:04:36Z","snapshot_observed_at":"2026-08-09T13:28:17.611411Z","submitted_at":"2026-07-08T06:04:36Z","title":"A coarse block-cutvertex tree-decomposition","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-09T22:00:36.730949Z"},"links":{"citing_paper":"/paper/2607.07030"},"observation_digest":"sha256:9f22093bd59769a0c2ee9e585f763cb5a7b8415f20fa8b2603b7c52a4f509232","observation_id":"c6116f59-0a39-4eb3-8933-2fd2d591b73c","resolution":{"observed_at":"2026-07-09T22:06:35.646688Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T22:06:35.661071Z","title":"Balig´ acs, V","venue":null,"work_id":"b1c66b9d-1fbe-4255-a79e-9e3db7ed2e70","year":2026},"citing_paper":{"arxiv_id":"2607.07030","last_updated":"2026-07-08T06:04:36Z","snapshot_observed_at":"2026-08-09T13:28:17.611411Z","submitted_at":"2026-07-08T06:04:36Z","title":"A coarse block-cutvertex tree-decomposition","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-09T22:00:36.730949Z"},"links":{"citing_paper":"/paper/2607.07030"},"observation_digest":"sha256:cb5649d2cac0486d1f8bf872a65768dc3285b21d5c226821b708eb1715fe50c8","observation_id":"c6519e4a-9527-4c99-b4f7-555f35ff6058","resolution":{"observed_at":"2026-07-09T22:06:35.662556Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2604.11318","last_updated":"2026-04-13T11:20:22Z","snapshot_observed_at":"2026-07-06T22:59:45.139155Z","submitted_at":"2026-04-13T11:20:22Z","title":"Coarse Balanced Separators in Fat-Minor-Free Graphs","version":1},"cited_work":{"arxiv_id":"2604.11318","doi":null,"metadata_source":"pith","pith_arxiv_id":"2604.11318","snapshot_observed_at":"2026-07-09T22:06:35.236584Z","title":"Coarse Balanced Separators in Fat-Minor-Free Graphs","venue":"math.CO","work_id":"2b5e1705-8304-4126-900b-ea10f530a242","year":2026},"citing_paper":{"arxiv_id":"2607.07030","last_updated":"2026-07-08T06:04:36Z","snapshot_observed_at":"2026-08-09T13:28:17.611411Z","submitted_at":"2026-07-08T06:04:36Z","title":"A coarse block-cutvertex tree-decomposition","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-09T22:00:36.730949Z"},"links":{"cited_paper":"/paper/2604.11318","citing_paper":"/paper/2607.07030"},"observation_digest":"sha256:6974014c45fb11bbf0fb3f3642f434838063cb00520ed4a5a69a45bd79dc152e","observation_id":"29a12858-cd8d-4110-8f37-2b263830e035","resolution":{"observed_at":"2026-07-09T22:06:35.238103Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T22:06:35.655557Z","title":"Chepoi, F","venue":null,"work_id":"f1ae380a-438d-4c0f-8c00-42c5658066b1","year":2012},"citing_paper":{"arxiv_id":"2607.07030","last_updated":"2026-07-08T06:04:36Z","snapshot_observed_at":"2026-08-09T13:28:17.611411Z","submitted_at":"2026-07-08T06:04:36Z","title":"A coarse block-cutvertex tree-decomposition","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-09T22:00:36.730949Z"},"links":{"citing_paper":"/paper/2607.07030"},"observation_digest":"sha256:1fbf5f832e8e725417361b41891dd3970d60703996ddff3020b322c9dc26631b","observation_id":"93ea7fe8-a3b6-40e8-80cc-8ca320c22bff","resolution":{"observed_at":"2026-07-09T22:06:35.656682Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2601.18439","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T22:06:35.250154Z","title":"Distel, U","venue":null,"work_id":"8a1ea1ca-e898-42cf-b9c0-e23763ddf2e5","year":2026},"citing_paper":{"arxiv_id":"2607.07030","last_updated":"2026-07-08T06:04:36Z","snapshot_observed_at":"2026-08-09T13:28:17.611411Z","submitted_at":"2026-07-08T06:04:36Z","title":"A coarse block-cutvertex tree-decomposition","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-09T22:00:36.730949Z"},"links":{"citing_paper":"/paper/2607.07030"},"observation_digest":"sha256:1359ddc5acb21d7fbf96f9c7e07789a676b6e5f372ffbf8745b69f317f9f7662","observation_id":"661167a5-05fa-46bb-9fe0-6a45fbded954","resolution":{"observed_at":"2026-07-09T22:06:35.252214Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2305.08512","last_updated":"2023-05-15T10:20:39Z","snapshot_observed_at":"2026-08-09T21:08:12.675901Z","submitted_at":"2023-05-15T10:20:39Z","title":"A coarse-geometry characterization of cacti","version":1},"cited_work":{"arxiv_id":"2305.08512","doi":null,"metadata_source":"pith","pith_arxiv_id":"2305.08512","snapshot_observed_at":"2026-07-09T22:06:35.247210Z","title":"Fujiwara and P","venue":"math.MG","work_id":"f292fa61-76c7-495f-8905-c8a82f9ed50b","year":2023},"citing_paper":{"arxiv_id":"2607.07030","last_updated":"2026-07-08T06:04:36Z","snapshot_observed_at":"2026-08-09T13:28:17.611411Z","submitted_at":"2026-07-08T06:04:36Z","title":"A coarse block-cutvertex tree-decomposition","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-09T22:00:36.730949Z"},"links":{"cited_paper":"/paper/2305.08512","citing_paper":"/paper/2607.07030"},"observation_digest":"sha256:4b35b0b171add050bb81a2dc68c703d170f8e91529a2809507d0fc5cdc0ad74e","observation_id":"093b6eaa-072f-452b-97c6-3c500a06cdf1","resolution":{"observed_at":"2026-07-09T22:06:35.248981Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T22:06:35.647269Z","title":"Fujiwara and P","venue":null,"work_id":"4f3a7eeb-3e71-4c20-b4ca-24d387e2cb9d","year":2021},"citing_paper":{"arxiv_id":"2607.07030","last_updated":"2026-07-08T06:04:36Z","snapshot_observed_at":"2026-08-09T13:28:17.611411Z","submitted_at":"2026-07-08T06:04:36Z","title":"A coarse block-cutvertex tree-decomposition","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-09T22:00:36.730949Z"},"links":{"citing_paper":"/paper/2607.07030"},"observation_digest":"sha256:34216faa364c2178597fceda63cc82a6fd0943a1754687b3561b8c2d33c77f7b","observation_id":"c50bf587-8f61-4c83-9779-8489889a30b9","resolution":{"observed_at":"2026-07-09T22:06:35.648386Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T22:06:35.649284Z","title":"Georgakopoulos and C","venue":null,"work_id":"366651b9-2d57-4e05-8a20-3d2cfadcce5e","year":null},"citing_paper":{"arxiv_id":"2607.07030","last_updated":"2026-07-08T06:04:36Z","snapshot_observed_at":"2026-08-09T13:28:17.611411Z","submitted_at":"2026-07-08T06:04:36Z","title":"A coarse block-cutvertex tree-decomposition","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-09T22:00:36.730949Z"},"links":{"citing_paper":"/paper/2607.07030"},"observation_digest":"sha256:c70375475460c102775c8748d7afe2663db0bc88e1176c57a7f6057bb561d775","observation_id":"4020f939-fddd-47cf-b5f3-41eb4d793f46","resolution":{"observed_at":"2026-07-09T22:06:35.650866Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T22:06:35.651503Z","title":"Georgakopoulos and P","venue":null,"work_id":"a442579f-fc0b-459f-b388-f30197d72f20","year":2025},"citing_paper":{"arxiv_id":"2607.07030","last_updated":"2026-07-08T06:04:36Z","snapshot_observed_at":"2026-08-09T13:28:17.611411Z","submitted_at":"2026-07-08T06:04:36Z","title":"A coarse block-cutvertex tree-decomposition","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-09T22:00:36.730949Z"},"links":{"citing_paper":"/paper/2607.07030"},"observation_digest":"sha256:7a5d02005e30993d8fc2e1ba8b55fb72df9bde7477bbeebd1e481e193ab1df69","observation_id":"e45b55a0-5295-4b4e-90ef-692851e8220c","resolution":{"observed_at":"2026-07-09T22:06:35.652953Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2605.10068","last_updated":"2026-05-11T06:47:20Z","snapshot_observed_at":"2026-07-06T23:22:03.830881Z","submitted_at":"2026-05-11T06:47:20Z","title":"Coarse Menger property of quasi-minor excluded graphs and length spaces","version":1},"cited_work":{"arxiv_id":"2605.10068","doi":null,"metadata_source":"pith","pith_arxiv_id":"2605.10068","snapshot_observed_at":"2026-07-09T22:06:35.232148Z","title":"Coarse Menger property of quasi-minor excluded graphs and length spaces","venue":"math.CO","work_id":"76f8f2de-0aef-4ea1-a614-c819ab432e7d","year":2026},"citing_paper":{"arxiv_id":"2607.07030","last_updated":"2026-07-08T06:04:36Z","snapshot_observed_at":"2026-08-09T13:28:17.611411Z","submitted_at":"2026-07-08T06:04:36Z","title":"A coarse block-cutvertex tree-decomposition","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-09T22:00:36.730949Z"},"links":{"cited_paper":"/paper/2605.10068","citing_paper":"/paper/2607.07030"},"observation_digest":"sha256:892def97fd692dbafbd48f6a62050aa142e6c222b4c1949c0de88bdc12e1a20b","observation_id":"23d766b1-2709-4af7-943b-04b1ac13a79e","resolution":{"observed_at":"2026-07-09T22:06:35.234652Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T22:06:35.653534Z","title":"MacManus","venue":null,"work_id":"ed48aaa6-0f04-4006-949e-cb1580c65d99","year":2025},"citing_paper":{"arxiv_id":"2607.07030","last_updated":"2026-07-08T06:04:36Z","snapshot_observed_at":"2026-08-09T13:28:17.611411Z","submitted_at":"2026-07-08T06:04:36Z","title":"A coarse block-cutvertex tree-decomposition","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-09T22:00:36.730949Z"},"links":{"citing_paper":"/paper/2607.07030"},"observation_digest":"sha256:f6e5bb05393962f6e2128a3a337495209705915e4e705bb1187634667bac5fb5","observation_id":"4540f040-9719-477f-b5ed-f91c88d0f620","resolution":{"observed_at":"2026-07-09T22:06:35.654928Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.09839","last_updated":"2026-07-31T22:59:13Z","snapshot_observed_at":"2026-08-10T19:35:26.977403Z","submitted_at":"2025-01-16T20:57:17Z","title":"Asymptotic structure. I. Coarse tree-width","version":4},"cited_work":{"arxiv_id":"2501.09839","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.09839","snapshot_observed_at":"2026-07-09T22:06:35.253585Z","title":"Nguyen, A","venue":"math.CO","work_id":"5a8c1dfa-778a-4f3e-8078-5cc4cafb1e0a","year":2025},"citing_paper":{"arxiv_id":"2607.07030","last_updated":"2026-07-08T06:04:36Z","snapshot_observed_at":"2026-08-09T13:28:17.611411Z","submitted_at":"2026-07-08T06:04:36Z","title":"A coarse block-cutvertex tree-decomposition","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-09T22:00:36.730949Z"},"links":{"cited_paper":"/paper/2501.09839","citing_paper":"/paper/2607.07030"},"observation_digest":"sha256:4b2eb0cf999dfa8c1b6b5f9e180e79d66a657d266132eaa77c8de0846d1540f5","observation_id":"9970f723-63bc-4561-84f1-aeb1e9577ba1","resolution":{"observed_at":"2026-07-09T22:06:35.255388Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2508.14332","last_updated":"2025-08-20T01:04:11Z","snapshot_observed_at":"2026-08-06T02:56:20.620281Z","submitted_at":"2025-08-20T01:04:11Z","title":"Asymptotic structure. IV. A counterexample to the weak coarse Menger conjecture","version":1},"cited_work":{"arxiv_id":"2508.14332","doi":null,"metadata_source":"pith","pith_arxiv_id":"2508.14332","snapshot_observed_at":"2026-07-09T22:06:35.243399Z","title":"Nguyen, A","venue":"math.CO","work_id":"6554c7cc-f8d2-49cb-8dca-45b082f3ceb7","year":2025},"citing_paper":{"arxiv_id":"2607.07030","last_updated":"2026-07-08T06:04:36Z","snapshot_observed_at":"2026-08-09T13:28:17.611411Z","submitted_at":"2026-07-08T06:04:36Z","title":"A coarse block-cutvertex tree-decomposition","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-09T22:00:36.730949Z"},"links":{"cited_paper":"/paper/2508.14332","citing_paper":"/paper/2607.07030"},"observation_digest":"sha256:4a39d380c6dbdf7fc3955dffee2ed6c0232288d6baa55a7a55cc21a57ee0fd37","observation_id":"f66feb47-657f-42df-b182-5144b30015fd","resolution":{"observed_at":"2026-07-09T22:06:35.245858Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-09T22:06:35.657506Z","title":"Tutte.Connectivity in graphs.Mathematical Expositions","venue":null,"work_id":"d66f35f4-72f7-40f8-9679-3f964cfc4083","year":1966},"citing_paper":{"arxiv_id":"2607.07030","last_updated":"2026-07-08T06:04:36Z","snapshot_observed_at":"2026-08-09T13:28:17.611411Z","submitted_at":"2026-07-08T06:04:36Z","title":"A coarse block-cutvertex tree-decomposition","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-09T22:00:36.730949Z"},"links":{"citing_paper":"/paper/2607.07030"},"observation_digest":"sha256:54f8a4fcde57e3b7b99b63d4b985b196d443e056af31aaaf908ab843ac69d55f","observation_id":"301b73f2-85cb-48f2-9623-33e5b2fb1872","resolution":{"observed_at":"2026-07-09T22:06:35.658756Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2607.07030","last_updated":"2026-07-08T06:04:36Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-09T13:28:17.611411Z","submitted_at":"2026-07-08T06:04:36Z","title":"A coarse block-cutvertex tree-decomposition"},"reference_resolution":{"displayed":18,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":8,"verified_fuzzy":10},"total_outbound_references":18},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2607.07030."}