{"as_of":"2026-08-14T22:36:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:676dec2397986ddfcfff84a6fc17ae68260fb79f6b14a0435fed2d0171c8eb93","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":"2026-08-14T05:53:15.616749Z","state":"measured"},{"denominator":37,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":37,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T04:58:37.723743Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-14T04:58:38.124888Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"cited_work":{"arxiv_id":"1909.00839","doi":null,"metadata_source":"pith","pith_arxiv_id":"1909.00839","snapshot_observed_at":"2026-08-14T04:58:38.124888Z","title":"The metric geometry of singularity types","venue":"math.DG","work_id":"6d1fb97e-8064-4d3d-a0a0-98fca282a0e0","year":2019},"citing_paper":{"arxiv_id":"1909.02469","last_updated":"2019-09-05T14:59:12Z","snapshot_observed_at":"2026-08-14T15:10:56.658298Z","submitted_at":"2019-09-05T14:59:12Z","title":"Complex Hessian equations with prescribed singularity on compact K\\\"ahler manifolds","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T04:58:37.723743Z"},"links":{"cited_paper":"/paper/1909.00839","citing_paper":"/paper/1909.02469"},"observation_digest":"sha256:c719fd6bdeeecdbe3c3fc74f9b33c240fd173fe12aded68dda031927676c505d","observation_id":"764c4792-84ef-4470-a87f-719d3b1f8e7c","resolution":{"observed_at":"2026-08-14T04:58:38.129857Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1909.00839/citation-record","integrity":"/paper/1909.00839/integrity","json":"/paper/1909.00839/citation-record.json","paper":"/paper/1909.00839"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T05:53:16.131330Z","title":"Bedford, B.A","venue":null,"work_id":"9ab44603-a221-4f9a-902c-8550c2c465ec","year":1976},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.467198Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:e2171b3651fa73e71715d6c06a2c1a290326bc1928156ab5be50c1af3c94025c","observation_id":"e5f57620-f05b-48ee-9b5d-575619b76300","resolution":{"observed_at":"2026-08-14T05:53:16.134838Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:53:16.119869Z","title":"Bedford, B.A","venue":null,"work_id":"ad981eab-a08a-460c-9d8f-957f9c0610a1","year":1982},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.471976Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:75624fd2273df8dde9feb36af8da836e7cc43faf2d3cba62b48b24e675120232","observation_id":"34637896-0700-4f36-8dbf-179e01519ff8","resolution":{"observed_at":"2026-08-14T05:53:16.123991Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:53:16.109168Z","title":"Bedford, B.A","venue":null,"work_id":"0a44f3b5-bc70-4311-a3e7-db9d2285c033","year":1987},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.476212Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:18d16be414e6c822711b0f29473ca06067f147d6fdde709792ae2f365f05dfb0","observation_id":"ffec72a0-5343-4ebf-9971-caefa90b2c5c","resolution":{"observed_at":"2026-08-14T05:53:16.112759Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:53:16.097626Z","title":"Berman, From Monge-Amp\\`ere equations to envelopes and geodesic rays in the zero temperature limit, Math","venue":null,"work_id":"e88ce18c-e3de-4f66-922c-0fd32a0f10df","year":2019},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.480053Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:e83a34b9da989e3da40c4e97e40cbfc040ac7f107db32bddd361413ffe490f75","observation_id":"cbdac4d2-a9e5-4b5b-a4c3-b15add8d11c4","resolution":{"observed_at":"2026-08-14T05:53:16.101685Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1509.04561","last_updated":"2020-09-08T15:55:01Z","snapshot_observed_at":"2026-08-14T22:32:18.331433Z","submitted_at":"2015-09-15T14:02:51Z","title":"A variational approach to the Yau-Tian-Donaldson conjecture","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1509.04561","snapshot_observed_at":"2026-08-14T05:53:15.484787Z","title":"Berman, S","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.484787Z"},"links":{"cited_paper":"/paper/1509.04561","citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:c17cf19d2e60545999ec00a114a2a66c8c20955b5defc7b5c0fdd29c75a1468e","observation_id":"1cf39d18-0a70-40d3-9677-3d308a12fd64","resolution":{"observed_at":"2026-08-14T05:53:15.484787Z","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":"2026-08-14T05:53:16.084666Z","title":"Berman, T","venue":null,"work_id":"a286da7c-be3b-4421-84f5-9d24c2773210","year":2017},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.489383Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:9e6ba058b29df0aeef0f632bcd4af317b172d2fbdf9e86a71c15f83395907857","observation_id":"4b79eaa8-5757-4052-b120-6370320717c2","resolution":{"observed_at":"2026-08-14T05:53:16.088646Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:53:16.071933Z","title":"Berndtsson, The openness conjecture and complex Brunn-Minkowski inequalities, Complex geometry and dynamics, 29--44, Abel Symp., 10, Springer, Cham, 2015","venue":null,"work_id":"1c32eb9f-30dc-4eac-a264-a4261893e96a","year":2015},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.493512Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:975eea14c50d279b1fc22cb8232368795f6522859384dbf752286ea37850797a","observation_id":"c406fd7a-2f19-4e26-b432-4d7f759f7e52","resolution":{"observed_at":"2026-08-14T05:53:16.076184Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:53:16.058297Z","title":null,"venue":null,"work_id":"c143ce63-6778-4ba1-8584-814ac59de6fe","year":null},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.498443Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:146b51ab029d746bd1baf581f70b9e541d0e98ee6504797921d98c9db867092e","observation_id":"4844b600-aac1-4b00-9757-7c3b23b1c1b4","resolution":{"observed_at":"2026-08-14T05:53:16.063075Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:53:16.045357Z","title":"Blocki, S","venue":null,"work_id":"cfd3d1b9-1537-4a1c-a13c-d2505604481c","year":2007},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.502460Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:00e8b86acf78626092c1495b983cc4b916842af3be4c35a0f92386384609a1f8","observation_id":"0e312037-ad28-421a-a6c2-1ca930bf7b3e","resolution":{"observed_at":"2026-08-14T05:53:16.049341Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:53:16.033305Z","title":"Boucksom, On the volume of a line bundle","venue":null,"work_id":"7ad6e82d-561e-4e10-92d2-7c565d2c1f79","year":2002},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.506489Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:3f48cb6c0448ac8e6bfb529c079eb379a454c56f533ea6583f21812865b75df4","observation_id":"ac476a65-d2d2-4de7-b7f5-381ff6f02c80","resolution":{"observed_at":"2026-08-14T05:53:16.037144Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:53:16.020373Z","title":"Boucksom, Divisorial Zariski decompositions on compact complex manifolds, Ann","venue":null,"work_id":"dd10ff61-8c79-4cab-a03a-68d90ff467c4","year":2004},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.510401Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:750638552c982d20e973eeb060203e62ddfc80d25375b2b7cafe2cb6afc0f990","observation_id":"665bfb39-55a9-4e04-9504-f7d42a90309e","resolution":{"observed_at":"2026-08-14T05:53:16.024727Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:53:16.007501Z","title":"Boucksom, P","venue":null,"work_id":"ba0ca393-b729-40c3-ab58-57e646523e0a","year":2010},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.514468Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:c8799b4bcbbc3593d6da529b3b374a73c154c38812754bf9b52754ed7201f52b","observation_id":"f08f73e7-149e-4175-85cf-ea30985b5bf4","resolution":{"observed_at":"2026-08-14T05:53:16.011433Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:53:15.994614Z","title":"Cao, Numerical dimension and a Kawamata-Viehweg-Nadel-type vanishing theorem on compact K\\\"ahler manifolds","venue":null,"work_id":"fb4e72b1-ad3e-4016-920a-aec11d7d1733","year":2014},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.518400Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:b5c85f5c592c354bb8b537735e41da67339464e5de0e1dca3cac200ca760b4b9","observation_id":"5909ba8a-7e50-41fc-bdd0-db78b255f047","resolution":{"observed_at":"2026-08-14T05:53:15.998549Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:53:15.981281Z","title":"Darvas, Weak geodesic rays in the space of K\\\"ahler potentials and the class E(X, ) , J","venue":null,"work_id":"6673e977-c36b-4c7b-8038-5eee618989b7","year":2017},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.522680Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:db33e054993720678cded298d42d172eca231ab9b524341a6631d651b49e42a5","observation_id":"376e7a7d-fe73-4420-976f-07dd1d39acbb","resolution":{"observed_at":"2026-08-14T05:53:15.985389Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:53:15.968922Z","title":"Darvas, The Mabuchi geometry of finite energy classes, Adv","venue":null,"work_id":"fedd2f5a-d466-40d8-94fa-69d6cc3e3d33","year":2015},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.526898Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:efd3ac8c28463e6133af4835955ef27be457afb0278197a32aee8205d12814ce","observation_id":"291f6d55-aace-47b9-9c9b-89ff968d9599","resolution":{"observed_at":"2026-08-14T05:53:15.972913Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:53:15.957033Z","title":"Darvas, E","venue":null,"work_id":"ba12821d-601b-4c5e-9728-dc222d6460f8","year":2018},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.530932Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:3f0924c76dec0c32fd87e682329b6f5a1bf4b562403e8a8513094e4437f49680","observation_id":"d2b72895-a89a-49f9-afa5-8f7889cc4c16","resolution":{"observed_at":"2026-08-14T05:53:15.961001Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:53:15.944731Z","title":"Darvas, E","venue":null,"work_id":"ebc02bdc-c8b8-42ba-a3f2-5810f06689bd","year":2018},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.535524Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:2b1e09dc9b74f91f0b066b9286d7c7efdaee51710969e196e7e1cc8bfdd2c9d5","observation_id":"8a697c34-905c-4ba8-b0c2-03898201f109","resolution":{"observed_at":"2026-08-14T05:53:15.948595Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:53:15.932250Z","title":"Darvas, E","venue":null,"work_id":"6426f0cd-f536-44d0-aa5b-8b237ed2664a","year":2018},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.539454Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:197a7afffe2ebdbf1b17e27a211a8abd5f63497e1a8596b40f90add371531277","observation_id":"80e583a5-e711-4ee4-93d2-49a599df2529","resolution":{"observed_at":"2026-08-14T05:53:15.936246Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1807.00276","last_updated":"2020-03-12T13:56:41Z","snapshot_observed_at":"2026-08-14T18:57:07.294346Z","submitted_at":"2018-07-01T06:11:12Z","title":"Log-concavity of volume and complex Monge-Amp\\`ere equations with prescribed singularity","version":3},"cited_work":{"arxiv_id":"1807.00276","doi":null,"metadata_source":"pith","pith_arxiv_id":"1807.00276","snapshot_observed_at":"2026-08-14T05:53:15.701694Z","title":"Log-concavity of volume and complex Monge-Amp\\`ere equations with prescribed singularity","venue":"math.DG","work_id":"afcba077-c46b-4b8e-9287-43d4668a875d","year":2018},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.543379Z"},"links":{"cited_paper":"/paper/1807.00276","citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:4b94d4e7369b71683832cd53f8f86b92ed1ecdd7335c24bf0dde49c73bfe511a","observation_id":"c7645120-2d7e-480b-b7e8-750ce4c80e74","resolution":{"observed_at":"2026-08-14T05:53:15.706538Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1810.04661","last_updated":"2019-03-05T15:38:58Z","snapshot_observed_at":"2026-08-14T18:16:37.294220Z","submitted_at":"2018-10-10T17:46:48Z","title":"Geodesic stability, the space of rays, and uniform convexity in Mabuchi geometry","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1810.04661","snapshot_observed_at":"2026-08-14T05:53:15.548171Z","title":"Darvas, C.H","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.548171Z"},"links":{"cited_paper":"/paper/1810.04661","citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:ec67f235fdc2b057ea09481875108e2d2441cafefc3b80910a42e47caed4d74b","observation_id":"cd09f576-9512-4327-898e-0852de16dd8d","resolution":{"observed_at":"2026-08-14T05:53:15.548171Z","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":"2026-08-14T05:53:15.919328Z","title":"Demailly, J","venue":null,"work_id":"ad6b6468-4ece-49a5-a027-dd3934336fdb","year":2001},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.552895Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:8c926ebe27691b2a1f89394c67ccf40c78b201184d64eeab52924f0e2688a10f","observation_id":"54735641-3256-451c-a3d1-8d6ebedfa790","resolution":{"observed_at":"2026-08-14T05:53:15.923696Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:53:15.907254Z","title":"Demailly, Regularization of closed positive currents and intersection theory, J","venue":null,"work_id":"f66c6861-70e4-4436-8a89-29afc089121d","year":1992},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.557401Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:cc83365477541e6536c163f8e477128ca84ea6d262974f36e780b3e707e8e7e8","observation_id":"a1f92dbc-05cb-4ae2-aeff-3cfa8cfa57ee","resolution":{"observed_at":"2026-08-14T05:53:15.911292Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:53:15.893933Z","title":"Demailly, On the cohomology of pseudoeffective line bundles","venue":null,"work_id":"97435eef-1fb3-4dfd-b20a-712e1022e6ee","year":2015},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.562404Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:e228f96181df41ba9dede43247c551501daa7059fe46f920d99ed7fa940a5326","observation_id":"d1fc5c6f-a808-4975-8d7c-4a51f5ed5522","resolution":{"observed_at":"2026-08-14T05:53:15.898420Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:53:15.880660Z","title":"ahler cone of a compact K\\","venue":null,"work_id":"1aa8c17b-4f78-41ec-9520-9bc08b880e3f","year":2004},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.566536Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:df449ff17dae5b623102000974ddba3abbd21bd80cb1d1c2bc2d47d460b6273a","observation_id":"526a690e-3d4d-48f7-bfd0-8cadbe20a073","resolution":{"observed_at":"2026-08-14T05:53:15.884613Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:53:15.867095Z","title":"Demailly, T","venue":null,"work_id":"434e032c-4b00-4ad9-9559-1a16de7a7e1e","year":1994},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.570676Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:5b31acb9bbff3b189247bf409d96e17e1980f5f73f7fbe126b4bfdc9beeb7d5c","observation_id":"09352346-5916-4c2a-b1f3-5ef601792053","resolution":{"observed_at":"2026-08-14T05:53:15.871383Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:53:15.853431Z","title":null,"venue":null,"work_id":"eab000ac-131b-443f-b5d9-a4080984409b","year":2015},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.575464Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:2dfd6d559ce4f7d8dac96377f60e1b4b0075bfef3c5c279cb821e250db2669b3","observation_id":"a05e49ac-5774-4677-b0b8-d710da0a97af","resolution":{"observed_at":"2026-08-14T05:53:15.857700Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:53:15.839407Z","title":null,"venue":null,"work_id":"8df2c2ff-00de-4ff6-bfe3-d4e598e1f95c","year":2015},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.579601Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:75d0964bce8da1f2836cd2edf9475bb3bc879a1b3a0ecd21e5a8039c9a65e9b0","observation_id":"c4576843-6d39-4478-bb5f-bd7dd915e44b","resolution":{"observed_at":"2026-08-14T05:53:15.844271Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:53:15.826054Z","title":"Guedj, A","venue":null,"work_id":"81f14497-936a-41d7-84a4-1a6d0a45f4f5","year":2017},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.583986Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:9dc227f358c37028d81c16962e2b4913b5f889939f4864317c2c25ba02628065","observation_id":"09d971ad-d4d2-46f5-90c2-643b39563405","resolution":{"observed_at":"2026-08-14T05:53:15.830297Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1703.05254","last_updated":"2017-03-15T16:55:22Z","snapshot_observed_at":"2026-08-14T21:11:43.338908Z","submitted_at":"2017-03-15T16:55:22Z","title":"Plurisubharmonic envelopes and supersolutions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1703.05254","snapshot_observed_at":"2026-08-14T05:53:15.588068Z","title":"Guedj, C.H","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.588068Z"},"links":{"cited_paper":"/paper/1703.05254","citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:694cb12fac7e6e7a4f791d2e888b100fd535539875514e12d7b797ade45d9134","observation_id":"a943b1bc-0771-4d33-a3c6-cbe11bafff42","resolution":{"observed_at":"2026-08-14T05:53:15.588068Z","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":"2026-08-14T05:53:15.811340Z","title":"Hartshorne, Algebraic Geometry, Springer Science and Business Media, (1977)","venue":null,"work_id":"6150ba0c-6560-42b9-b68e-7875fb284fdc","year":1977},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.592401Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:b0d2ab0bf22c1bb0abedd7120a684d4087e382de8f8ae0c9a43560ee0366a86d","observation_id":"5758bbc0-e5c3-4ea4-aff6-fb57c1fd07bb","resolution":{"observed_at":"2026-08-14T05:53:15.816137Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:53:15.797805Z","title":"Hiep, The weighted log canonical threshold","venue":null,"work_id":"46756845-268b-475d-9aae-d6d184eb3283","year":2014},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.596132Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:d6c28f317a78074f8524ca082892360d2dbc8f6cd6801d3da97e3182a469ef32","observation_id":"7d2d40ee-85a9-4625-9f56-3763c9f46d47","resolution":{"observed_at":"2026-08-14T05:53:15.801751Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:53:15.783185Z","title":"Lempert, Modules of square integrable holomorphic germs, Analysis meets geometry, 311--333, Trends Math., Birkhäuser/Springer, Cham, 2017","venue":null,"work_id":"b60272bc-9845-4353-91c7-ed872ce7ece7","year":2017},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.600793Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:5ee88977c4c730d6085f4be0f12a8c16f1d4f455bad3bbebe9afa09e8de45f73","observation_id":"d012a11e-4bb7-4323-813c-a3a6224616c9","resolution":{"observed_at":"2026-08-14T05:53:15.788510Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:53:15.767447Z","title":null,"venue":null,"work_id":"89326a37-a299-4919-abe7-cda0635c49ac","year":2014},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.604817Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:65af60accbdfde2e65ee8ba4ffef7fbabd11930cba8489bd60644baa4dfba996","observation_id":"5b58564e-5778-4d80-a8ce-55b7c961a994","resolution":{"observed_at":"2026-08-14T05:53:15.771801Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1907.07234","last_updated":"2023-03-22T14:32:17Z","snapshot_observed_at":"2026-08-14T16:05:18.679463Z","submitted_at":"2019-07-16T19:45:27Z","title":"Mabuchi geometry of big cohomology classes with prescribed singularities","version":3},"cited_work":{"arxiv_id":"1907.07234","doi":null,"metadata_source":"pith","pith_arxiv_id":"1907.07234","snapshot_observed_at":"2026-08-14T05:53:15.651480Z","title":"Mabuchi geometry of big cohomology classes with prescribed singularities","venue":"math.DG","work_id":"2f6843fa-818b-451b-8ec9-5bcfebfa1cc6","year":2019},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.608721Z"},"links":{"cited_paper":"/paper/1907.07234","citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:ef83f569b9275adb8e070ba7f911fe56aa1e2d851a8ad61f15ed9d78cf0ed017","observation_id":"61e1240f-2acb-4917-92b8-0061f1005cb5","resolution":{"observed_at":"2026-08-14T05:53:15.657912Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:53:15.749439Z","title":"Witt-Nystr\\\"om, Monotonicity of non-pluripolar Monge-Amp\\`ere measures, Indiana University Mathematics Journal, 2019, 68, 2, 579--591","venue":null,"work_id":"d7ace8e2-d271-43df-a4be-76bfe5fa9614","year":2019},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.612957Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:037387a4a0d62c80c6ab28b2631d7c2c72014fce4bf21d08d12f400473215170","observation_id":"5cd77934-fc29-4fe4-87db-1b63c6644238","resolution":{"observed_at":"2026-08-14T05:53:15.755264Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:53:15.733521Z","title":"Zeriahi, Volume and capacity of sublevel sets of a Lelong class of psh functions","venue":null,"work_id":"68f0fe3d-6e37-4a4c-a611-d9a94a5af7af","year":2001},"citing_paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-14T05:53:15.616749Z"},"links":{"citing_paper":"/paper/1909.00839"},"observation_digest":"sha256:c1d0de88148d86dca39758456557f1275c2d3e7bb51ca67a949d6d06e848812b","observation_id":"e0870285-06a5-4aef-96fc-cca76e6640eb","resolution":{"observed_at":"2026-08-14T05:53:15.739416Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1909.00839","last_updated":"2019-09-02T19:24:25Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-14T05:32:10.622960Z","submitted_at":"2019-09-02T19:24:25Z","title":"The metric geometry of singularity types"},"reference_resolution":{"displayed":36,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":2,"verified_fuzzy":27},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 1 inbound Pith citation observation for arXiv:1909.00839."}