{"as_of":"2026-08-16T03:52:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0b2e466849f5f785cdca8ebf7dc2d961f5a69ffea68e1c5735f8bba5d9052c18","coverage":[{"denominator":23,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":23,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:58:10.022558Z","state":"measured"},{"denominator":25,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":25,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:57:10.607526Z","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":"2026-08-14T10:40:08.488614Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1908.04371","last_updated":"2021-08-31T22:35:20Z","snapshot_observed_at":"2026-08-15T20:09:30.415721Z","submitted_at":"2019-08-12T20:38:07Z","title":"On the log-local principle for the toric boundary","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.04371","snapshot_observed_at":"2026-08-14T13:57:10.607526Z","title":"B OUSSEAU , A","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1908.04706","last_updated":"2021-12-01T09:11:31Z","snapshot_observed_at":"2026-08-15T20:04:46.199065Z","submitted_at":"2019-08-13T15:45:40Z","title":"Gromov-Witten theory with maximal contacts","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T13:57:10.607526Z"},"links":{"cited_paper":"/paper/1908.04371","citing_paper":"/paper/1908.04706"},"observation_digest":"sha256:d92967adb118c024fca6f445dadc984fe796b2d94877f9ede1e7088e8dd68bca","observation_id":"5461e77c-db46-46a5-970c-70337c6be286","resolution":{"observed_at":"2026-08-14T13:57:10.607526Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1908.04371","last_updated":"2021-08-31T22:35:20Z","snapshot_observed_at":"2026-08-15T20:09:30.415721Z","submitted_at":"2019-08-12T20:38:07Z","title":"On the log-local principle for the toric boundary","version":3},"cited_work":{"arxiv_id":"1908.04371","doi":null,"metadata_source":"pith","pith_arxiv_id":"1908.04371","snapshot_observed_at":"2026-08-14T10:40:08.488614Z","title":"On the log-local principle for the toric boundary","venue":"math.AG","work_id":"bddcfdc6-cfb3-4d39-8f07-b755380adb00","year":2019},"citing_paper":{"arxiv_id":"1908.10906","last_updated":"2021-05-31T09:46:22Z","snapshot_observed_at":"2026-08-15T22:49:56.210180Z","submitted_at":"2019-08-28T19:05:44Z","title":"Sheaves of maximal intersection and multiplicities of stable log maps","version":5},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T10:40:07.981665Z"},"links":{"cited_paper":"/paper/1908.04371","citing_paper":"/paper/1908.10906"},"observation_digest":"sha256:b2369f2511b2ea59077489cc693efcfc90160579d01033bc36eae01b52f19cf8","observation_id":"71212e56-ec70-4359-a049-d62db372d470","resolution":{"observed_at":"2026-08-14T10:40:08.493451Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1908.04371/citation-record","integrity":"/paper/1908.04371/integrity","json":"/paper/1908.04371/citation-record.json","paper":"/paper/1908.04371"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:58:10.489508Z","title":"Abramovich and Q","venue":null,"work_id":"9cb1fb52-9c0f-42b4-b471-1f4b9e2906a8","year":2014},"citing_paper":{"arxiv_id":"1908.04371","last_updated":"2021-08-31T22:35:20Z","snapshot_observed_at":"2026-08-15T20:09:30.415721Z","submitted_at":"2019-08-12T20:38:07Z","title":"On the log-local principle for the toric boundary","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T13:58:09.873749Z"},"links":{"citing_paper":"/paper/1908.04371"},"observation_digest":"sha256:a9138f55d27e77bee662682a44bd5d2f24f855dcf69bbc5a8069240790fb1934","observation_id":"6a25dd98-a56c-48d6-9f70-a89e8a6b604d","resolution":{"observed_at":"2026-08-14T13:58:10.494661Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:58:10.470603Z","title":"Abramovich, T","venue":null,"work_id":"f844ca4a-1e1f-4426-aec1-f125a77222fe","year":2008},"citing_paper":{"arxiv_id":"1908.04371","last_updated":"2021-08-31T22:35:20Z","snapshot_observed_at":"2026-08-15T20:09:30.415721Z","submitted_at":"2019-08-12T20:38:07Z","title":"On the log-local principle for the toric boundary","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T13:58:09.880714Z"},"links":{"citing_paper":"/paper/1908.04371"},"observation_digest":"sha256:f1378bdc17906ee28ec0faaee76c58598f413f5211efecedba82d01a9ad72d85","observation_id":"7f7168b1-1766-4bd6-ab55-7f692b2d9793","resolution":{"observed_at":"2026-08-14T13:58:10.476789Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:58:10.449802Z","title":"Bousseau , Scattering diagrams, sheaves on P2, and curves in P2 relative to a smooth cubic, in preparation (2019)","venue":null,"work_id":"0b0017fb-8520-417c-9294-6830c631a435","year":2019},"citing_paper":{"arxiv_id":"1908.04371","last_updated":"2021-08-31T22:35:20Z","snapshot_observed_at":"2026-08-15T20:09:30.415721Z","submitted_at":"2019-08-12T20:38:07Z","title":"On the log-local principle for the toric boundary","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T13:58:09.886282Z"},"links":{"citing_paper":"/paper/1908.04371"},"observation_digest":"sha256:b40abd06a0c57b68ca3e78a546c901f92c5706710c22feb8f8ca31eded332a06","observation_id":"3c3b1691-5272-493b-86a0-711ec420a495","resolution":{"observed_at":"2026-08-14T13:58:10.456346Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:58:10.428832Z","title":"Bousseau, A","venue":null,"work_id":"02acc50b-0a7a-443d-b4d9-7383e38d05ca","year":2019},"citing_paper":{"arxiv_id":"1908.04371","last_updated":"2021-08-31T22:35:20Z","snapshot_observed_at":"2026-08-15T20:09:30.415721Z","submitted_at":"2019-08-12T20:38:07Z","title":"On the log-local principle for the toric boundary","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T13:58:09.894054Z"},"links":{"citing_paper":"/paper/1908.04371"},"observation_digest":"sha256:ae2f01383569ad89f276d68a2b042545e530165398074df67865c3f21bc11c42","observation_id":"c0365648-ec16-446c-8503-2645ac7a55ce","resolution":{"observed_at":"2026-08-14T13:58:10.435400Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:58:10.410411Z","title":"Chen , Stable logarithmic maps to Deligne-Faltings pairs I, Ann","venue":null,"work_id":"5a95d28e-0dff-4d58-93a3-038b0e4130cf","year":2014},"citing_paper":{"arxiv_id":"1908.04371","last_updated":"2021-08-31T22:35:20Z","snapshot_observed_at":"2026-08-15T20:09:30.415721Z","submitted_at":"2019-08-12T20:38:07Z","title":"On the log-local principle for the toric boundary","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T13:58:09.902207Z"},"links":{"citing_paper":"/paper/1908.04371"},"observation_digest":"sha256:2e6df3ab8d7318e37d81cfcaa586db2533993fa54384b449c6f2066345bb6981","observation_id":"e210b2c1-f52d-4f73-987b-087888462271","resolution":{"observed_at":"2026-08-14T13:58:10.415882Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:58:10.392586Z","title":"Chen and Y","venue":null,"work_id":"8220e764-9179-482e-b532-e29b374cbe08","year":2002},"citing_paper":{"arxiv_id":"1908.04371","last_updated":"2021-08-31T22:35:20Z","snapshot_observed_at":"2026-08-15T20:09:30.415721Z","submitted_at":"2019-08-12T20:38:07Z","title":"On the log-local principle for the toric boundary","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T13:58:09.909861Z"},"links":{"citing_paper":"/paper/1908.04371"},"observation_digest":"sha256:ad5509dd87b8a66854de7cc8dba59d8c3582a94d2b290174f7d1442cdf841763","observation_id":"2be99acc-674a-4626-80e8-e5218cb7b57d","resolution":{"observed_at":"2026-08-14T13:58:10.398282Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:58:10.372956Z","title":null,"venue":null,"work_id":"f4bfa832-fa3d-4ec4-95fd-7fba94a3e63f","year":2018},"citing_paper":{"arxiv_id":"1908.04371","last_updated":"2021-08-31T22:35:20Z","snapshot_observed_at":"2026-08-15T20:09:30.415721Z","submitted_at":"2019-08-12T20:38:07Z","title":"On the log-local principle for the toric boundary","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T13:58:09.915784Z"},"links":{"citing_paper":"/paper/1908.04371"},"observation_digest":"sha256:164c240621519af8b9d59592941f6f85553529f2e0a1b6bcd51671631854553b","observation_id":"516ec33e-6dbf-4373-9c34-8f0cb1ffc238","resolution":{"observed_at":"2026-08-14T13:58:10.379005Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1908.10906","last_updated":"2021-05-31T09:46:22Z","snapshot_observed_at":"2026-08-15T22:49:56.210180Z","submitted_at":"2019-08-28T19:05:44Z","title":"Sheaves of maximal intersection and multiplicities of stable log maps","version":5},"cited_work":{"arxiv_id":"1908.10906","doi":null,"metadata_source":"pith","pith_arxiv_id":"1908.10906","snapshot_observed_at":"2026-08-14T13:58:10.149055Z","title":"Sheaves of maximal intersection and multiplicities of stable log maps","venue":"math.AG","work_id":"0188b3c8-d380-4226-ac99-107731b02337","year":2019},"citing_paper":{"arxiv_id":"1908.04371","last_updated":"2021-08-31T22:35:20Z","snapshot_observed_at":"2026-08-15T20:09:30.415721Z","submitted_at":"2019-08-12T20:38:07Z","title":"On the log-local principle for the toric boundary","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T13:58:09.922246Z"},"links":{"cited_paper":"/paper/1908.10906","citing_paper":"/paper/1908.04371"},"observation_digest":"sha256:0c170503d433403ada324575df1255175261bc236ccb76e38c1a5100989bcbdc","observation_id":"ce97f1b3-942c-4514-93f2-f80c6b882558","resolution":{"observed_at":"2026-08-14T13:58:10.155553Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1810.02377","last_updated":"2020-10-21T14:58:41Z","snapshot_observed_at":"2026-08-14T18:19:20.837922Z","submitted_at":"2018-10-04T18:02:02Z","title":"Log BPS numbers of log Calabi-Yau surfaces","version":5},"cited_work":{"arxiv_id":"1810.02377","doi":null,"metadata_source":"pith","pith_arxiv_id":"1810.02377","snapshot_observed_at":"2026-08-14T13:58:10.124826Z","title":"Log BPS numbers of log Calabi-Yau surfaces","venue":"math.AG","work_id":"c213dce5-ca59-4e97-a3d6-1fd050ea6ed0","year":2018},"citing_paper":{"arxiv_id":"1908.04371","last_updated":"2021-08-31T22:35:20Z","snapshot_observed_at":"2026-08-15T20:09:30.415721Z","submitted_at":"2019-08-12T20:38:07Z","title":"On the log-local principle for the toric boundary","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T13:58:09.931159Z"},"links":{"cited_paper":"/paper/1810.02377","citing_paper":"/paper/1908.04371"},"observation_digest":"sha256:31b08f4a2f595440b1cc7e409eae4f2a20f15a81bcf2c545dad7a9e3e6bfb14c","observation_id":"dc456960-5c33-4c19-bc7d-09e9d1e4cc78","resolution":{"observed_at":"2026-08-14T13:58:10.130968Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:58:10.353366Z","title":"Coates, A","venue":null,"work_id":"fcc2731e-7823-4b66-ace9-b5f847f441f9","year":2015},"citing_paper":{"arxiv_id":"1908.04371","last_updated":"2021-08-31T22:35:20Z","snapshot_observed_at":"2026-08-15T20:09:30.415721Z","submitted_at":"2019-08-12T20:38:07Z","title":"On the log-local principle for the toric boundary","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T13:58:09.938168Z"},"links":{"citing_paper":"/paper/1908.04371"},"observation_digest":"sha256:5212b72fd246fdf7bab0a334950a40c96199f40c285d99d80ea49c7e78daa43e","observation_id":"29ea5ec8-6030-406a-9d27-878c4111391a","resolution":{"observed_at":"2026-08-14T13:58:10.359097Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:58:10.336704Z","title":"Fujino and H","venue":null,"work_id":"2ed6903b-e035-4850-bfdf-2235cf9b51de","year":2009},"citing_paper":{"arxiv_id":"1908.04371","last_updated":"2021-08-31T22:35:20Z","snapshot_observed_at":"2026-08-15T20:09:30.415721Z","submitted_at":"2019-08-12T20:38:07Z","title":"On the log-local principle for the toric boundary","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T13:58:09.944896Z"},"links":{"citing_paper":"/paper/1908.04371"},"observation_digest":"sha256:416d244fb71c658bb98e7e95eb91f442d9514f4b55a0d926cb09f2f6d8531814","observation_id":"12d3d19e-bd33-48a5-af16-b098173020a1","resolution":{"observed_at":"2026-08-14T13:58:10.341646Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:58:10.319149Z","title":"van Garrel, T","venue":null,"work_id":"04e95c5f-a1aa-4e53-a9a7-ff94446d90d7","year":2019},"citing_paper":{"arxiv_id":"1908.04371","last_updated":"2021-08-31T22:35:20Z","snapshot_observed_at":"2026-08-15T20:09:30.415721Z","submitted_at":"2019-08-12T20:38:07Z","title":"On the log-local principle for the toric boundary","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T13:58:09.950948Z"},"links":{"citing_paper":"/paper/1908.04371"},"observation_digest":"sha256:0f6925badfbe39d2f91a777e14b8593bbbab0fabb129799a021a71af3cc398b1","observation_id":"c69d983d-5dbb-4080-b7fc-5b79cdb32179","resolution":{"observed_at":"2026-08-14T13:58:10.324580Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:58:10.298757Z","title":"van Garrel, D","venue":null,"work_id":"a1060332-445d-4217-ba77-747f6d09155a","year":2015},"citing_paper":{"arxiv_id":"1908.04371","last_updated":"2021-08-31T22:35:20Z","snapshot_observed_at":"2026-08-15T20:09:30.415721Z","submitted_at":"2019-08-12T20:38:07Z","title":"On the log-local principle for the toric boundary","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T13:58:09.956791Z"},"links":{"citing_paper":"/paper/1908.04371"},"observation_digest":"sha256:62d2daccd416d57f3cc8219d3fdcdf861660a4a9aa708557a45e3e64c2799fd7","observation_id":"dfefdcea-741e-42fd-92bf-5284e37032bd","resolution":{"observed_at":"2026-08-14T13:58:10.304595Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:58:10.280809Z","title":"van Garrel, T","venue":null,"work_id":"6362a635-03a3-4981-bb76-2e863909e1fb","year":2013},"citing_paper":{"arxiv_id":"1908.04371","last_updated":"2021-08-31T22:35:20Z","snapshot_observed_at":"2026-08-15T20:09:30.415721Z","submitted_at":"2019-08-12T20:38:07Z","title":"On the log-local principle for the toric boundary","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T13:58:09.962192Z"},"links":{"citing_paper":"/paper/1908.04371"},"observation_digest":"sha256:47f6abb6ae64bcbf9c99fe0076a59b9db09af286e49df7f1d3d352b99bc06323","observation_id":"c8ae922c-a51d-4ab0-a402-9de08ef48aa1","resolution":{"observed_at":"2026-08-14T13:58:10.287011Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:58:10.262786Z","title":"Gross and B","venue":null,"work_id":"ad6edf9e-9a0d-4537-b3e2-eece5fad60e4","year":2013},"citing_paper":{"arxiv_id":"1908.04371","last_updated":"2021-08-31T22:35:20Z","snapshot_observed_at":"2026-08-15T20:09:30.415721Z","submitted_at":"2019-08-12T20:38:07Z","title":"On the log-local principle for the toric boundary","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T13:58:09.968434Z"},"links":{"citing_paper":"/paper/1908.04371"},"observation_digest":"sha256:5276d7ba4123c9a992c52282710b85e2ec85e61aff0109974d55ddc00820a32d","observation_id":"25196917-78bc-426e-8a33-48d4d39f41d9","resolution":{"observed_at":"2026-08-14T13:58:10.267870Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:58:10.244436Z","title":"Kaw asaki, Cohomology of twisted projective spaces and lens complexe s, Math","venue":null,"work_id":"d279e001-1cdd-40a3-93b6-9794ed22ba90","year":1973},"citing_paper":{"arxiv_id":"1908.04371","last_updated":"2021-08-31T22:35:20Z","snapshot_observed_at":"2026-08-15T20:09:30.415721Z","submitted_at":"2019-08-12T20:38:07Z","title":"On the log-local principle for the toric boundary","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T13:58:09.974588Z"},"links":{"citing_paper":"/paper/1908.04371"},"observation_digest":"sha256:69bc030ff0e599fa9961fc80f5fb4c2a38b571ed81fd7d51168ba0e108f2eca0","observation_id":"f523d6a1-1e71-4a47-83db-12a83678b072","resolution":{"observed_at":"2026-08-14T13:58:10.249901Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:58:10.224197Z","title":"Lee and R","venue":null,"work_id":"a3a0712e-4d22-4f99-b558-2e20b73906ff","year":2004},"citing_paper":{"arxiv_id":"1908.04371","last_updated":"2021-08-31T22:35:20Z","snapshot_observed_at":"2026-08-15T20:09:30.415721Z","submitted_at":"2019-08-12T20:38:07Z","title":"On the log-local principle for the toric boundary","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T13:58:09.979704Z"},"links":{"citing_paper":"/paper/1908.04371"},"observation_digest":"sha256:c08a8dddbab59dbf0a6585b8595590c5b5d9dcab4dc67730bdb6b21d95076492","observation_id":"8c5d8a40-c4aa-4877-8dad-e4390d3389d6","resolution":{"observed_at":"2026-08-14T13:58:10.229706Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1612.02402","last_updated":"2019-06-28T21:00:10Z","snapshot_observed_at":"2026-08-15T20:05:25.640455Z","submitted_at":"2016-12-07T20:26:56Z","title":"Descendant log Gromov-Witten invariants for toric varieties and tropical curves","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1612.02402","snapshot_observed_at":"2026-08-14T13:58:09.985993Z","title":"Mandel and H","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.04371","last_updated":"2021-08-31T22:35:20Z","snapshot_observed_at":"2026-08-15T20:09:30.415721Z","submitted_at":"2019-08-12T20:38:07Z","title":"On the log-local principle for the toric boundary","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T13:58:09.985993Z"},"links":{"cited_paper":"/paper/1612.02402","citing_paper":"/paper/1908.04371"},"observation_digest":"sha256:3226ca02598700fd7fd4578a1309c064fe833a31b7560e7e6c69b01f592464b7","observation_id":"d280f693-73d6-45cf-bbb6-d8e65687f64d","resolution":{"observed_at":"2026-08-14T13:58:09.985993Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1902.07183","last_updated":"2021-04-16T21:27:17Z","snapshot_observed_at":"2026-08-14T17:14:15.945196Z","submitted_at":"2019-02-19T18:29:33Z","title":"Tropical quantum field theory, mirror polyvector fields, and multiplicities of tropical curves","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1902.07183","snapshot_observed_at":"2026-08-14T13:58:09.992817Z","title":"Preprint available at 1902.07183","venue":null,"work_id":null,"year":1902},"citing_paper":{"arxiv_id":"1908.04371","last_updated":"2021-08-31T22:35:20Z","snapshot_observed_at":"2026-08-15T20:09:30.415721Z","submitted_at":"2019-08-12T20:38:07Z","title":"On the log-local principle for the toric boundary","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T13:58:09.992817Z"},"links":{"cited_paper":"/paper/1902.07183","citing_paper":"/paper/1908.04371"},"observation_digest":"sha256:c229ed020a354d0dd66c205243f1e7c02531e3d79a3953c19efa46b42ea73dd5","observation_id":"839a7690-5411-41b3-9dba-f4b2c3e8ea95","resolution":{"observed_at":"2026-08-14T13:58:09.992817Z","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":"2026-08-14T13:58:10.203730Z","title":"Mikhalkin , Enumerative tropical algebraic geometry in R2, J","venue":null,"work_id":"12082cef-fbaa-49a5-9ce6-7c788fa3cfe0","year":2005},"citing_paper":{"arxiv_id":"1908.04371","last_updated":"2021-08-31T22:35:20Z","snapshot_observed_at":"2026-08-15T20:09:30.415721Z","submitted_at":"2019-08-12T20:38:07Z","title":"On the log-local principle for the toric boundary","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T13:58:09.999385Z"},"links":{"citing_paper":"/paper/1908.04371"},"observation_digest":"sha256:29039122da20c2d1f9a1a47e8c23da82b4355a2c1443952d884cf24157103a75","observation_id":"0d455301-e284-4740-948a-116f8b58e41e","resolution":{"observed_at":"2026-08-14T13:58:10.210189Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1908.04706","last_updated":"2021-12-01T09:11:31Z","snapshot_observed_at":"2026-08-15T20:04:46.199065Z","submitted_at":"2019-08-13T15:45:40Z","title":"Gromov-Witten theory with maximal contacts","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.04706","snapshot_observed_at":"2026-08-14T13:58:10.011257Z","title":"Nabijou and D","venue":null,"work_id":null,"year":1908},"citing_paper":{"arxiv_id":"1908.04371","last_updated":"2021-08-31T22:35:20Z","snapshot_observed_at":"2026-08-15T20:09:30.415721Z","submitted_at":"2019-08-12T20:38:07Z","title":"On the log-local principle for the toric boundary","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T13:58:10.011257Z"},"links":{"cited_paper":"/paper/1908.04706","citing_paper":"/paper/1908.04371"},"observation_digest":"sha256:64d84e632538d646d6f48f9848c3312432755ba37de19d8c042537fee0a4c51c","observation_id":"343594f2-8e3f-4310-85ba-d623056fb704","resolution":{"observed_at":"2026-08-14T13:58:10.011257Z","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":"2026-08-14T13:58:10.186436Z","title":"Nishinou and B","venue":null,"work_id":"850c79c3-82ea-4ada-88c7-aec490a52a5e","year":2006},"citing_paper":{"arxiv_id":"1908.04371","last_updated":"2021-08-31T22:35:20Z","snapshot_observed_at":"2026-08-15T20:09:30.415721Z","submitted_at":"2019-08-12T20:38:07Z","title":"On the log-local principle for the toric boundary","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T13:58:10.016439Z"},"links":{"citing_paper":"/paper/1908.04371"},"observation_digest":"sha256:0bc8f561b6e88337ecc832160fa5b2826b326f3600c2c2be858f0ff7976dd7cc","observation_id":"a6be0b9f-e7d2-4dec-aad2-b5badd4e23fc","resolution":{"observed_at":"2026-08-14T13:58:10.191566Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:58:10.168995Z","title":"Takahashi , Log mirror symmetry and local mirror symmetry, Comm","venue":null,"work_id":"8166c4ad-9326-4b95-8c79-606c98a378bb","year":2001},"citing_paper":{"arxiv_id":"1908.04371","last_updated":"2021-08-31T22:35:20Z","snapshot_observed_at":"2026-08-15T20:09:30.415721Z","submitted_at":"2019-08-12T20:38:07Z","title":"On the log-local principle for the toric boundary","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T13:58:10.022558Z"},"links":{"citing_paper":"/paper/1908.04371"},"observation_digest":"sha256:4ac3d71557994ecd5e6b923d6daf68301700ad59504922a4cb1efc8bbbb7ba18","observation_id":"d0f940d4-a9a7-4255-b614-9a329d67b245","resolution":{"observed_at":"2026-08-14T13:58:10.174854Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.04371","last_updated":"2021-08-31T22:35:20Z","latest_version":3,"primary_category":"math.AG","snapshot_observed_at":"2026-08-15T20:09:30.415721Z","submitted_at":"2019-08-12T20:38:07Z","title":"On the log-local principle for the toric boundary"},"reference_resolution":{"displayed":23,"state_counts":{"malformed_identifier":0,"metadata_mismatch":2,"parse_uncertain":0,"unresolved":4,"verified_exact":0,"verified_fuzzy":17},"total_outbound_references":23},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 2 inbound Pith citation observations for arXiv:1908.04371."}