{"as_of":"2026-08-21T11:29:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f994f2b9fb3b799bdbc1520cfda9aa7f1b69148500d211ff2f35e738045115c8","coverage":[{"denominator":9,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":9,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T04:33:40.514622Z","state":"measured"},{"denominator":12,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":12,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T15:38:39.919265Z","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":"2026-06-29T00:42:56.720279Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.18888","last_updated":"2024-12-25T12:15:56Z","snapshot_observed_at":"2026-08-20T21:11:21.692900Z","submitted_at":"2024-12-25T12:15:56Z","title":"Gromov-Hausdorff Geometry of Metric Trees","version":1},"cited_work":{"arxiv_id":"2412.18888","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.18888","snapshot_observed_at":"2026-06-29T00:42:56.720279Z","title":"Ivanov, I.\\,N","venue":null,"work_id":"45b63ea0-f998-4459-8471-fda686103768","year":2024},"citing_paper":{"arxiv_id":"2605.19680","last_updated":"2026-05-19T11:12:28Z","snapshot_observed_at":"2026-08-17T01:19:27.233640Z","submitted_at":"2026-05-19T11:12:28Z","title":"Contractibility of the space of $\\varepsilon$-nets in $\\mathbb{R}$","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-05-20T01:46:07.823705Z"},"links":{"cited_paper":"/paper/2412.18888","citing_paper":"/paper/2605.19680"},"observation_digest":"sha256:6d4ada5a07df0c69558b283e9ee58500f445e5d1ca455875ac93be93376f0e48","observation_id":"e12d51e2-4ca6-4177-84cf-8619ef6c4b84","resolution":{"observed_at":"2026-05-20T01:47:57.313990Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.18888","last_updated":"2024-12-25T12:15:56Z","snapshot_observed_at":"2026-08-20T21:11:21.692900Z","submitted_at":"2024-12-25T12:15:56Z","title":"Gromov-Hausdorff Geometry of Metric Trees","version":1},"cited_work":{"arxiv_id":"2412.18888","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.18888","snapshot_observed_at":"2026-06-29T00:42:56.720279Z","title":"Ivanov, I.\\,N","venue":null,"work_id":"45b63ea0-f998-4459-8471-fda686103768","year":2024},"citing_paper":{"arxiv_id":"2606.27583","last_updated":"2026-06-25T22:20:42Z","snapshot_observed_at":"2026-08-17T14:09:47.308818Z","submitted_at":"2026-06-25T22:20:42Z","title":"A problem of intersection of balls in normed space","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-29T00:35:59.900780Z"},"links":{"cited_paper":"/paper/2412.18888","citing_paper":"/paper/2606.27583"},"observation_digest":"sha256:3f7cc0eb3433d99f57a63618ac7c4ddf04557f498737d67d26559621afc0ab65","observation_id":"e3cb8651-6224-4186-923d-e86accee8c88","resolution":{"observed_at":"2026-06-29T00:42:56.721781Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.18888","last_updated":"2024-12-25T12:15:56Z","snapshot_observed_at":"2026-08-20T21:11:21.692900Z","submitted_at":"2024-12-25T12:15:56Z","title":"Gromov-Hausdorff Geometry of Metric Trees","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.18888","snapshot_observed_at":"2026-08-01T15:38:39.919265Z","title":"Ivanov, I.N","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.18447","last_updated":"2026-07-20T18:59:15Z","snapshot_observed_at":"2026-08-12T12:01:23.714479Z","submitted_at":"2026-07-20T18:59:15Z","title":"Gromov-Hausdorff distance and Jung constant of finite-dimensional normed spaces","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-01T15:38:39.919265Z"},"links":{"cited_paper":"/paper/2412.18888","citing_paper":"/paper/2607.18447"},"observation_digest":"sha256:a5a9f86f68d8981c8720bb4ee1070488f38da4b94a462dd3be56230065e3dfc7","observation_id":"3e3e5278-ce45-4b05-8968-112fd1a126b4","resolution":{"observed_at":"2026-08-01T15:38:39.919265Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2412.18888/citation-record","integrity":"/paper/2412.18888/integrity","json":"/paper/2412.18888/citation-record.json","paper":"/paper/2412.18888"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2411.09182","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T04:33:40.712663Z","title":"Adams, S","venue":null,"work_id":"cbd995b4-4735-4242-820f-234761bb52e3","year":2024},"citing_paper":{"arxiv_id":"2412.18888","last_updated":"2024-12-25T12:15:56Z","snapshot_observed_at":"2026-08-20T21:11:21.692900Z","submitted_at":"2024-12-25T12:15:56Z","title":"Gromov-Hausdorff Geometry of Metric Trees","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T04:33:40.468931Z"},"links":{"citing_paper":"/paper/2412.18888"},"observation_digest":"sha256:0d65714670c175a43e58ecda0e2fc35983e0606323195fe8c011ce329d71f5c9","observation_id":"e14ae5ca-0549-4cbb-9be4-f8ed29c57e82","resolution":{"observed_at":"2026-08-11T04:33:40.726533Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T04:33:40.836438Z","title":"Burago, Yu","venue":null,"work_id":"97d0782a-2757-43e4-9539-e314c4762b83","year":2001},"citing_paper":{"arxiv_id":"2412.18888","last_updated":"2024-12-25T12:15:56Z","snapshot_observed_at":"2026-08-20T21:11:21.692900Z","submitted_at":"2024-12-25T12:15:56Z","title":"Gromov-Hausdorff Geometry of Metric Trees","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T04:33:40.474580Z"},"links":{"citing_paper":"/paper/2412.18888"},"observation_digest":"sha256:78f36ab325cb006f12c438b30bcbd67125a42abad0437667dd1c553e6d2e74db","observation_id":"08ad2fb2-37ef-4f0e-bbfe-4432fae8e911","resolution":{"observed_at":"2026-08-11T04:33:40.842236Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2110.06101","last_updated":"2021-10-12T15:49:45Z","snapshot_observed_at":"2026-08-16T17:49:55.793552Z","submitted_at":"2021-10-12T15:49:45Z","title":"Gromov-Hausdorff class: its completeness and cloud geometry","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2110.06101","snapshot_observed_at":"2026-08-11T04:33:40.479833Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.18888","last_updated":"2024-12-25T12:15:56Z","snapshot_observed_at":"2026-08-20T21:11:21.692900Z","submitted_at":"2024-12-25T12:15:56Z","title":"Gromov-Hausdorff Geometry of Metric Trees","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T04:33:40.479833Z"},"links":{"cited_paper":"/paper/2110.06101","citing_paper":"/paper/2412.18888"},"observation_digest":"sha256:ad479bdd0848b1ad2902532ca46c511678eb15b641b2fcbe846ad20dfb7aa694","observation_id":"d1c187aa-d9d0-4b81-bd1d-33e1c53b085a","resolution":{"observed_at":"2026-08-11T04:33:40.479833Z","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":"2026-08-11T04:33:40.815651Z","title":null,"venue":null,"work_id":"c3f00b27-a777-45ec-a41a-15008a8c25c6","year":2010},"citing_paper":{"arxiv_id":"2412.18888","last_updated":"2024-12-25T12:15:56Z","snapshot_observed_at":"2026-08-20T21:11:21.692900Z","submitted_at":"2024-12-25T12:15:56Z","title":"Gromov-Hausdorff Geometry of Metric Trees","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T04:33:40.485870Z"},"links":{"citing_paper":"/paper/2412.18888"},"observation_digest":"sha256:cab9120db2c549a9f32dd2aa9a11d7c55b97e2226b1ae066cac632a41b4b0058","observation_id":"c637deec-b303-41b1-a8b8-6a7db5fd77f6","resolution":{"observed_at":"2026-08-11T04:33:40.823269Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T04:33:40.793882Z","title":"Kuratowski, Quelques probl` emes concernant les espaces m´ etriques non-s ´ eparables, Fundamenta Mathematicae 1935, v","venue":null,"work_id":"27c484f9-27de-449e-a965-8ec8e037a870","year":1935},"citing_paper":{"arxiv_id":"2412.18888","last_updated":"2024-12-25T12:15:56Z","snapshot_observed_at":"2026-08-20T21:11:21.692900Z","submitted_at":"2024-12-25T12:15:56Z","title":"Gromov-Hausdorff Geometry of Metric Trees","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T04:33:40.490998Z"},"links":{"citing_paper":"/paper/2412.18888"},"observation_digest":"sha256:5ff9be69e728319451a865133326885f3097fc9df4d210f3129a3264b1dac75c","observation_id":"b88f9008-7dcf-4986-a757-efd286cc559f","resolution":{"observed_at":"2026-08-11T04:33:40.800752Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.00611","last_updated":"2022-10-18T11:13:15Z","snapshot_observed_at":"2026-08-20T14:30:02.748431Z","submitted_at":"2021-05-03T02:47:29Z","title":"The Gromov-Hausdorff distance between spheres","version":6},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.00611","snapshot_observed_at":"2026-08-11T04:33:40.497464Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.18888","last_updated":"2024-12-25T12:15:56Z","snapshot_observed_at":"2026-08-20T21:11:21.692900Z","submitted_at":"2024-12-25T12:15:56Z","title":"Gromov-Hausdorff Geometry of Metric Trees","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T04:33:40.497464Z"},"links":{"cited_paper":"/paper/2105.00611","citing_paper":"/paper/2412.18888"},"observation_digest":"sha256:54e3f66ced95649d011691ec6dfd1791e5c54886600aabaadb10bcaa2a37a216","observation_id":"b6316120-b98a-42c9-9e86-8f8f2ad6b48a","resolution":{"observed_at":"2026-08-11T04:33:40.497464Z","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":"2026-08-11T04:33:40.774801Z","title":null,"venue":null,"work_id":"742ee1b1-30e6-45d6-a537-573675a8909e","year":null},"citing_paper":{"arxiv_id":"2412.18888","last_updated":"2024-12-25T12:15:56Z","snapshot_observed_at":"2026-08-20T21:11:21.692900Z","submitted_at":"2024-12-25T12:15:56Z","title":"Gromov-Hausdorff Geometry of Metric Trees","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T04:33:40.504101Z"},"links":{"citing_paper":"/paper/2412.18888"},"observation_digest":"sha256:50b88e3f656af54149286217b01b553d808b8d211b2ca97948a50e2d8c078baa","observation_id":"5bbcd1ce-ed60-424f-b5ff-092a512c5355","resolution":{"observed_at":"2026-08-11T04:33:40.779953Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T04:33:40.755709Z","title":null,"venue":null,"work_id":"83824ed8-4f91-44ad-8c0f-8ff4a97279ac","year":2025},"citing_paper":{"arxiv_id":"2412.18888","last_updated":"2024-12-25T12:15:56Z","snapshot_observed_at":"2026-08-20T21:11:21.692900Z","submitted_at":"2024-12-25T12:15:56Z","title":"Gromov-Hausdorff Geometry of Metric Trees","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T04:33:40.509237Z"},"links":{"citing_paper":"/paper/2412.18888"},"observation_digest":"sha256:9488cbd204c371b263b0cb9079110a19603cd73b387f5f35deacc45a58a0d952","observation_id":"cc57dade-39b5-4a1d-8e01-e382acdb8826","resolution":{"observed_at":"2026-08-11T04:33:40.761179Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T04:33:40.738716Z","title":null,"venue":null,"work_id":"9c61d2fa-beb1-4aa3-ad93-1b3c794bc1e2","year":2024},"citing_paper":{"arxiv_id":"2412.18888","last_updated":"2024-12-25T12:15:56Z","snapshot_observed_at":"2026-08-20T21:11:21.692900Z","submitted_at":"2024-12-25T12:15:56Z","title":"Gromov-Hausdorff Geometry of Metric Trees","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T04:33:40.514622Z"},"links":{"citing_paper":"/paper/2412.18888"},"observation_digest":"sha256:402c4c59ac1f2b923223bbf93ecb5f4d090171427844595d64cb9a193b23a156","observation_id":"90ea8d2b-777c-4f32-95ac-63938ce181bc","resolution":{"observed_at":"2026-08-11T04:33:40.743747Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.18888","last_updated":"2024-12-25T12:15:56Z","latest_version":1,"primary_category":"math.MG","snapshot_observed_at":"2026-08-20T21:11:21.692900Z","submitted_at":"2024-12-25T12:15:56Z","title":"Gromov-Hausdorff Geometry of Metric Trees"},"reference_resolution":{"displayed":9,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":1,"verified_fuzzy":2},"total_outbound_references":9},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 3 inbound Pith citation observations for arXiv:2412.18888."}