{"as_of":"2026-08-22T16:48:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e0d3fe119f4570a55c7822cc9411704b37cda73496d8bc7b44483731e274f76a","coverage":[{"denominator":81,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":81,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T17:04:53.341871Z","state":"measured"},{"denominator":81,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":81,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2507.11982/citation-record","integrity":"/paper/2507.11982/integrity","json":"/paper/2507.11982/citation-record.json","paper":"/paper/2507.11982"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:04:47.375211Z","title":"A’Campo, La fonction zˆ eta d’une monodromie","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:47.375211Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:7975a1edcaafbc09a4688a81154c4ee962f820ed682614b137b1436ebcb4af00","observation_id":"16e73ebe-e7fd-46ba-82f9-7c7e92a17ada","resolution":{"observed_at":"2026-08-06T17:04:47.375211Z","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":"2026-08-06T17:05:07.312572Z","title":"Abramovich, Q","venue":null,"work_id":"8d863275-8062-441b-b3e1-176a9ec985be","year":2013},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:47.405026Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:e31849e91f443f985868fce37e33ddbd1b8b751789fcc32a47832a37910c9689","observation_id":"03c98996-2c63-40c7-b2bd-e1019722d7b7","resolution":{"observed_at":"2026-08-06T17:05:07.405745Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:07.138670Z","title":"Achinger, A","venue":null,"work_id":"21a76fd2-0b58-4f53-8d3a-0dadd61e2865","year":2020},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:47.496927Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:59202fbfd0e45f86cef05a09d92182515a07965758723e16a03b4008a60453ee","observation_id":"7d8a2d1a-97b9-47de-84c5-8a94b97b4cd3","resolution":{"observed_at":"2026-08-06T17:05:07.223324Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2211.12134","last_updated":"2022-11-22T10:08:25Z","snapshot_observed_at":"2026-08-20T11:54:33.976891Z","submitted_at":"2022-11-22T10:08:25Z","title":"Betti numbers of real semistable degenerations via real logarithmic geometry","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.12134","snapshot_observed_at":"2026-08-06T17:04:47.570364Z","title":"Ambrosi, M","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:47.570364Z"},"links":{"cited_paper":"/paper/2211.12134","citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:91037ed35cf2181ec8f36a4c07c8f77525e11abe225f68843733830c1165179b","observation_id":"bbfacb2a-e017-4488-b7fb-dfb01f217a43","resolution":{"observed_at":"2026-08-06T17:04:47.570364Z","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":"2026-08-06T17:05:06.979671Z","title":"Arg¨ uz,Topological torus fibrations on Calabi-Yau manifolds via Kato-Nakayama spaces","venue":null,"work_id":"c1ea6ad6-721b-4841-915a-3f767aeec228","year":2018},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:47.660179Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:301011dec15a81213936dabfb8ea53e78782fef4fac6c5b30293dea89784de4a","observation_id":"627eff0f-cde5-47df-9fe9-1ae7f179b145","resolution":{"observed_at":"2026-08-06T17:05:07.063765Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:06.766448Z","title":"Arg¨ uz,Real loci in (log) Calabi-Yau manifolds via Kato-Nakayama spaces of toric degenerations","venue":null,"work_id":"7285ce42-ec55-4276-8bbf-5289f414bd1f","year":2021},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:47.744550Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:edb8bf05ae34cacf574f099cd03f3bae41f720432401e7a055c722798708b63e","observation_id":"096dd42a-8d98-426f-ab49-bc6d4b7df1f1","resolution":{"observed_at":"2026-08-06T17:05:06.878819Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:06.581014Z","title":"Barthel, L","venue":null,"work_id":"3b0d7259-d568-494e-8b86-d6fe9e22d091","year":2007},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:47.844567Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:37b42156d3c31378dbc4c576bbc63e466325787fdd58e3f0295fa390e85b333e","observation_id":"d898fa25-04f3-411e-a08d-d21148f62061","resolution":{"observed_at":"2026-08-06T17:05:06.694502Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:06.334647Z","title":"Brasselet, Introduction to toric varieties","venue":null,"work_id":"12880e81-66b0-4ea3-b7bb-83ad5e2be7c1","year":2008},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:47.894798Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:33514c1ec4cf6fc93f1fc268850096d7946c3d56274fe174a88bf96ca6a333ac","observation_id":"8fc68300-7895-4182-ac0d-c6088d80a921","resolution":{"observed_at":"2026-08-06T17:05:06.455376Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:06.150451Z","title":"Bultot, J","venue":null,"work_id":"88103425-0ee3-4254-be74-1a89f52b391e","year":2020},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:47.994305Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:ea61252343a44745055eee8a79aa1a20b62bbf8ec982d62a57d95e7ce8a51765","observation_id":"69f6b02f-848a-4410-b962-03b82cc045d8","resolution":{"observed_at":"2026-08-06T17:05:06.241928Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:05.960370Z","title":"Cailotto, A note on Kato-Nakayama spaces","venue":null,"work_id":"81724921-d8b5-4302-b07d-ccad5c0d6695","year":2004},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:48.086670Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:56d68759fc972d636150cdbdfef4a741a62b0e22b64a9bd0a855d502eec91354","observation_id":"b6a15a90-7e03-44e2-bbe9-6972aafd87a6","resolution":{"observed_at":"2026-08-06T17:05:06.043243Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:05.844151Z","title":"Campesato, G","venue":null,"work_id":"4842af06-aa24-4e49-91bd-e697edfcab14","year":2025},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:48.179524Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:fc9a18f6a5a4b32535cabade4f7d1b70492c51f3890d79b85852e90b143fc64b","observation_id":"eb72f2f5-9776-4d9f-9c78-5adcf45f5e74","resolution":{"observed_at":"2026-08-06T17:05:05.899732Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:05.708197Z","title":"Cannas da Silva, Lectures on symplectic geometry","venue":null,"work_id":"7e01604d-3f22-404a-89f7-4dcd90da53cc","year":2001},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:48.276747Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:caff7d68668ae4cabb88752ba2ee415ffa5595d443591374353f9cf92a88b8f8","observation_id":"f6129212-cf43-4808-9e82-1bf8839cb6ca","resolution":{"observed_at":"2026-08-06T17:05:05.757047Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:05.573824Z","title":"Cauwbergs, Logarithmic geometry and the Milnor fibration","venue":null,"work_id":"a1634b60-39f5-4998-bb88-3c086f8d43c3","year":2016},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:48.366700Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:0e5ee2820a064ddad84d5e7190ea501bb0927ac45ab05f805b43135f5d73dc0a","observation_id":"d1fc7a37-dd3a-451d-832f-413a304f2a0e","resolution":{"observed_at":"2026-08-06T17:05:05.633987Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:05.437705Z","title":"Cerf, Topologie de certains espaces de plongements","venue":null,"work_id":"db428ee3-19d4-4d82-83c0-6303445f8412","year":1961},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:48.466271Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:2970ddcd393165a8a64863e00c3881656bfc0e14c3ea92ec7aaf13c93f370044","observation_id":"e8860ddc-e589-4ebf-810b-1b7d4377b465","resolution":{"observed_at":"2026-08-06T17:05:05.502538Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:05.299976Z","title":null,"venue":null,"work_id":"dbefb9ab-9c74-4e61-8b3f-36fa5eaf2a34","year":2021},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:48.580020Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:59b8d519e64b34d16435293f9fb4d05add381b60619d207370a4e63b9fc64d78","observation_id":"8d95809c-6ffc-4abe-b09a-bf211f9b03d0","resolution":{"observed_at":"2026-08-06T17:05:05.365656Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:05.164905Z","title":"Commelin, P","venue":null,"work_id":"e7c4566c-e606-4941-b24c-5a39088caf88","year":null},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:48.639109Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:f879ed2a5e96f9558a7122c3422ce6a4f8c160a5bd048aa19bf463211aba48b2","observation_id":"5f0c0f4c-1eaf-4ba2-b662-d8843ceaaf93","resolution":{"observed_at":"2026-08-06T17:05:05.230158Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:05.037270Z","title":"Cox, What is a toric variety? In Topics in algebraic geometry and geometric modeling , 203–223, Contemp","venue":null,"work_id":"74e23871-46d3-4763-933a-e6c514dd520a","year":2003},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:48.734829Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:522ee645976807075ee6cf198d266b84df8dbe880e9299874350ba3f3d545da4","observation_id":"dac3255c-3515-45d3-bd5c-e047a5099e56","resolution":{"observed_at":"2026-08-06T17:05:05.098954Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:04.933380Z","title":null,"venue":null,"work_id":"ba2a8eac-2303-47cd-9d52-334cd848dd42","year":2011},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:48.805101Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:4debf8d82fe80e9a6d4d626cca0c582f263808bc70c46508ea9684855ec0a92e","observation_id":"39931ab0-7ff0-46ab-a530-76dc819e5b14","resolution":{"observed_at":"2026-08-06T17:05:04.976449Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:04.822782Z","title":null,"venue":null,"work_id":"e657d0f0-82f0-47d1-b97b-fd7eed704492","year":2023},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:48.870521Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:957fb030f6111fbe2124c183cccd838417dc070d2430304aaa47c3d62a5b2974","observation_id":"a9fb6065-2aac-42ff-b7a0-2569eaac8adf","resolution":{"observed_at":"2026-08-06T17:05:04.869225Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:04.697977Z","title":null,"venue":null,"work_id":"5272edbb-2d6c-4b0c-ab36-cd7158e1fef3","year":1975},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:48.976609Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:b5233bbe35c665cf3eb3a99bb66aa6b42b22dc9c0c2da785178e989535634578","observation_id":"1bca55da-f7d7-4f34-b813-7a2e47dbeb32","resolution":{"observed_at":"2026-08-06T17:05:04.748245Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:04.512151Z","title":null,"venue":null,"work_id":"fd9a7e0e-1f6c-437e-9342-898fdd532b43","year":1978},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:49.053572Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:76e37ba0fa8fa87df985b3e3a20f7971ee30f1d6f68afac42d2e817f0c4ca521","observation_id":"2f5fdae9-4326-453b-832b-f10102598a48","resolution":{"observed_at":"2026-08-06T17:05:04.598273Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:04.340781Z","title":"Delzant, Hamiltoniens p´ eriodiques et images convexes de l’application moment","venue":null,"work_id":"17f9af90-243d-46a6-910f-c1d9bc5c374d","year":1988},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:49.153050Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:0f1046205234259ec01262e4bb53c20e6bba46d15d3a679d4a38157821690c3c","observation_id":"b9c5c451-e2d7-4519-8d00-70a53c0ab29a","resolution":{"observed_at":"2026-08-06T17:05:04.422250Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:04.153275Z","title":"Eisenbud, J","venue":null,"work_id":"b51e2b90-0c40-45bf-93a4-a1045e068e36","year":2000},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:49.205852Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:c5c6a627ac893577586232d287aa0158501ce98a9070af40c4e7819983e20430","observation_id":"fc0e5a01-8726-4ee2-af71-98f6e1165a57","resolution":{"observed_at":"2026-08-06T17:05:04.258057Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:03.984632Z","title":"Ewald, Combinatorial convexity and algebraic geometry","venue":null,"work_id":"6adbcbf2-79d3-4c55-8b55-28ba8c28d0dc","year":1996},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:49.259502Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:06a77580f634b7533d34c9e9a58aeff6b044bb2fb5edcf6f5cd069849ef06b44","observation_id":"7c4d42be-0652-4abf-80a1-ef830eea538b","resolution":{"observed_at":"2026-08-06T17:05:04.040424Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:03.847922Z","title":"Fern´ andez de Bobadilla, T","venue":null,"work_id":"5d5c6cde-7544-4c4e-9ed8-e7e05902aa92","year":2024},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:49.356166Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:cf2967b4d1178e9154737ea501a06a3e0a2e0db4993b0ce01e37a6e46f4b68eb","observation_id":"d33ddd28-cc20-4a89-b255-7297c356808f","resolution":{"observed_at":"2026-08-06T17:05:03.916087Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:03.668516Z","title":"de Fernex, J","venue":null,"work_id":"41c03a8f-6445-45c0-9606-050eb79b208a","year":2017},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:49.423778Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:cd1a0e1e2b51b295316c4b0b2400736672c400ae7dbe8692b3b047727bc96aa9","observation_id":"c930e69e-9061-4107-9ff3-fb34d6bd29a8","resolution":{"observed_at":"2026-08-06T17:05:03.760239Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:03.495849Z","title":"Francis-Staite, D","venue":null,"work_id":"c103466f-5782-4762-819e-f45229a2724e","year":2024},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:49.509685Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:435fabf4047150857d59eb65618c3403cc90cde63789a57d8041935cfb19d831","observation_id":"f9edf978-04ba-42ef-827c-878ed720bf7d","resolution":{"observed_at":"2026-08-06T17:05:03.579267Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:03.311241Z","title":"Fulton, Introduction to toric varieties","venue":null,"work_id":"edc3c33b-8d24-4ce2-a268-d757eb20ce0f","year":1993},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:49.595708Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:3d20100ef23df9aa27c443ab97cec1e7b844f3fea301402b57a60fd97dbcbfb7","observation_id":"a5a89a6d-b2bb-4456-a99a-c0af5d9a2621","resolution":{"observed_at":"2026-08-06T17:05:03.411986Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:03.043549Z","title":null,"venue":null,"work_id":"e7e34206-3b65-4ab6-a7af-143a80ea90d2","year":2020},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:49.643042Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:fd3ac3afeb19465ba757ec74df50c66c8d026c1d2b8df1b18f8610925bbff317","observation_id":"141e6495-4fa3-4712-aa69-5f7d91e588ee","resolution":{"observed_at":"2026-08-06T17:05:03.164455Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:02.888877Z","title":null,"venue":null,"work_id":"7e9af6dc-677e-40d0-899b-fc8d4a891946","year":1994},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:49.687630Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:08e86d66451fa5d6c15ceb242a6dedbb5fc06c3adce74b5f877a3094bbd05348","observation_id":"5a62ec8f-ce4b-4ae8-9778-9071e2ba8a57","resolution":{"observed_at":"2026-08-06T17:05:02.947469Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:02.741675Z","title":"Gillam, Oriented real blowup","venue":null,"work_id":"a3a8c604-31d1-4195-8c40-012e9ff72450","year":2011},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:49.769215Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:003a76016a8512afa14e31deac9a9d080a62507218b27c8e8241fd0a9e34dc65","observation_id":"8c26ce1d-eb9c-4f2a-a85c-f0092f76d08b","resolution":{"observed_at":"2026-08-06T17:05:02.814383Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1507.06752","last_updated":"2015-07-24T06:31:48Z","snapshot_observed_at":"2026-08-18T19:51:46.748439Z","submitted_at":"2015-07-24T06:31:48Z","title":"Log differentiable spaces and manifolds with corners","version":1},"cited_work":{"arxiv_id":"1507.06752","doi":null,"metadata_source":"pith","pith_arxiv_id":"1507.06752","snapshot_observed_at":"2026-08-06T17:04:53.792289Z","title":"Log differentiable spaces and manifolds with corners","venue":"math.DG","work_id":"0cb75cda-562e-4b1b-9ac1-92b0f9fbf50f","year":2015},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:49.850177Z"},"links":{"cited_paper":"/paper/1507.06752","citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:bb030b92054e742c72ca4575df0e8712336621d50972ffd828a6915fb824973e","observation_id":"67e1d818-772a-4f0f-982e-0447c46f12c4","resolution":{"observed_at":"2026-08-06T17:04:53.821003Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:02.525827Z","title":null,"venue":null,"work_id":"088a387e-cb94-4ad2-97b2-35d14b95be09","year":1999},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:49.907888Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:0ea215e1dc237cb25ccbd063b4a3b59bb4bc61040177dade874779c06d01b17b","observation_id":"35358819-e088-443c-8535-42cb1bbe6893","resolution":{"observed_at":"2026-08-06T17:05:02.603321Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:02.236519Z","title":null,"venue":null,"work_id":"58af863b-852b-4ce2-a474-411c28784d5b","year":2014},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:49.986385Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:07aae6c4bbeab7a2342738acd409fbe98af0e1afb6968052560becf584bcf715","observation_id":"e79d1f75-5617-4289-acd9-c985a388a2cd","resolution":{"observed_at":"2026-08-06T17:05:02.399310Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:01.959841Z","title":"Gross, Tropical geometry and mirror symmetry","venue":null,"work_id":"2c48d6df-4d6b-4f91-9bd6-db84a7d47341","year":2011},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:50.051592Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:32f3b6230cb6df396eecbba3e31f50190eed41ab8ed2047c1a867f967b4cdc47","observation_id":"ea09160b-8138-42f7-a200-b62ac2ca27bc","resolution":{"observed_at":"2026-08-06T17:05:02.096163Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:01.668958Z","title":"Grothendieck, Esquisse d’un programme","venue":null,"work_id":"f059e439-dd74-4336-b067-6c8c16aa1225","year":1997},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:50.121718Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:4aafe83044d5750e4e2ea2435ff00b83eff8ac15fa1f444d01f7be7d08851f82","observation_id":"bff70574-e50d-44b2-af57-c08a9d530a31","resolution":{"observed_at":"2026-08-06T17:05:01.779211Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:01.411125Z","title":"Hubbard, P","venue":null,"work_id":"fc9a42a0-50ed-4be0-9ec7-de4be4c99421","year":2000},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:50.194208Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:69b1205fdc4fa46b43a5d069fcef518d992ef284450cc391975ee6d3b9f38ba5","observation_id":"9119a799-a90e-48ef-92a1-e06ec7d16ab5","resolution":{"observed_at":"2026-08-06T17:05:01.519224Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:01.127235Z","title":"Illusie, Logarithmic spaces (according to K","venue":null,"work_id":"eba717f8-4b49-45ef-af7f-f1d044083aac","year":1994},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:50.278892Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:4e7c506ad6be455bdade6736a55e0eebcf26f667eba96d14f40a0d89bec3ed4a","observation_id":"5c676ec6-aafb-4fb1-adf2-36e1c02d15b2","resolution":{"observed_at":"2026-08-06T17:05:01.250644Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:00.932281Z","title":"Illusie, An overview of the work of K","venue":null,"work_id":"e54611ea-4745-4650-9c4c-645794c9cdda","year":2002},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:50.338521Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:a87d1a29e933b4c92709d0e85b63bea110bf5131a82c4f1fe90a541bedc7cc79","observation_id":"7697c2ef-d70f-44b4-b6c5-086b4ee826b0","resolution":{"observed_at":"2026-08-06T17:05:01.005631Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:00.645484Z","title":"Illusie, K","venue":null,"work_id":"e9d7b463-9880-4389-9ef7-05e6c86f8542","year":2005},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:50.407881Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:b02653e5593944736856de3f468dfdf9004934dcc03a93f1a059c2045e3d7139","observation_id":"cb3faf79-f68b-4c03-821a-7db653c3bbbf","resolution":{"observed_at":"2026-08-06T17:05:00.806392Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:00.391769Z","title":"Joyce, A generalization of manifolds with corners","venue":null,"work_id":"cc81f350-eb32-4f61-a3ac-d5c975cd471d","year":2016},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:50.494106Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:83d3bd309d7814969094c4f6d65b840203feb006370007a3935f8f4b568d6615","observation_id":"ed91987f-e332-4dc1-aca5-a6b449e85e76","resolution":{"observed_at":"2026-08-06T17:05:00.532235Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:05:00.151324Z","title":"Kajiwara, C","venue":null,"work_id":"7a5a794f-ae42-4999-9fac-b564f62b24db","year":2008},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:50.602122Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:de3c6eb9d0946533f502bd6fceccbff4d7651173e50aa1975645385fbd643df0","observation_id":"347267c7-462c-40b2-9df4-efe80b11964f","resolution":{"observed_at":"2026-08-06T17:05:00.242924Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:59.983159Z","title":"Kato, Logarithmic structures of Fontaine-Illusie","venue":null,"work_id":"837b7230-e709-41a0-a7d9-6cbcd9d4a65a","year":1988},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:50.663107Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:cdb5ebae3ad6695ffb5f9655073f13307010b76d98abbb0ef0a34421268616a5","observation_id":"6b1dbacd-0dc7-4162-9d2d-1c6a35422275","resolution":{"observed_at":"2026-08-06T17:05:00.053327Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:59.830608Z","title":"Kato, Toric singularities","venue":null,"work_id":"b26b7cb8-28bf-4ca2-8339-f119df8d8883","year":1994},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:50.720077Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:db2983717b3df56aa297c228ad0db07fce15a1a4f7dec34dbaadf7c003042e9f","observation_id":"590935b5-466b-42a4-8997-d79103a30293","resolution":{"observed_at":"2026-08-06T17:04:59.892198Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:59.646715Z","title":"Kato, Log smooth deformation theory","venue":null,"work_id":"268a7a9a-96f2-49ce-931e-6f3716206685","year":1996},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:50.783377Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:00567f42f6485f572668cde91c1a392716e49e8a58406cd6235d77b544253108","observation_id":"e2ea0174-143e-476c-931f-468017ca83df","resolution":{"observed_at":"2026-08-06T17:04:59.753390Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:59.396386Z","title":null,"venue":null,"work_id":"0721d363-7f2b-4ed4-96f6-8ce0ca43ef2e","year":1999},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:50.847276Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:1dc185cfe97c658ec254ef91dc86ec9e72ec0de1c11eb26ba7977ff3d34e72cc","observation_id":"a2366997-2bb9-45ae-b2aa-269768f8d973","resolution":{"observed_at":"2026-08-06T17:04:59.543971Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:59.145946Z","title":"Kawamata, On algebraic fiber spaces","venue":null,"work_id":"567ea1c2-ce10-4863-a5c2-2a6cfce22041","year":2000},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:50.925610Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:22abfa9de2184102e60aca512e593ea0c1f86eef22d9535b536c137c32203f71","observation_id":"0eceb47f-d57d-415f-a301-1ebca9135837","resolution":{"observed_at":"2026-08-06T17:04:59.251000Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:59.010890Z","title":"Kempf, F","venue":null,"work_id":"af141d7d-a5a4-48b3-9cdd-4ab275a016af","year":null},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:51.043126Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:89c1ff1341f4eca647dd896f642a04e68a3f28517884cf47e48c3021bc17e4cf","observation_id":"52396bd3-d8b3-4224-93f0-f9b1c7528009","resolution":{"observed_at":"2026-08-06T17:04:59.070329Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:58.551763Z","title":null,"venue":null,"work_id":"f81ef766-db25-4245-9dd3-d7929569ad58","year":1977},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:51.164645Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:1e712341ad68163d4a6b3382b7ee3caaead53373a74f78d1d6a76a9136bef3ff","observation_id":"796cca7f-6fa9-4b4c-bd77-d7092039e899","resolution":{"observed_at":"2026-08-06T17:04:58.679343Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:58.235476Z","title":null,"venue":null,"work_id":"22b01bff-64c5-428c-aa69-eec302ef98b3","year":1993},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:51.235133Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:66a136de51180f83c9a561dcf5cde97fefbea4bf5843eb24c27dfe4025651a94","observation_id":"7f52ec93-575a-43a1-868a-1f32d203c042","resolution":{"observed_at":"2026-08-06T17:04:58.414669Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:58.046295Z","title":null,"venue":null,"work_id":"44058f54-4850-48e2-a032-47675a85f9e8","year":1976},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:51.282270Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:a7dca7e5bc849b3530ec6195f8a87ef96a8300fbf37f56850ac69f81334a40e8","observation_id":"1180827a-007b-4982-aa6c-2d5e3132f5eb","resolution":{"observed_at":"2026-08-06T17:04:58.117097Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:57.853573Z","title":"Kottke, R","venue":null,"work_id":"eafa895c-b80e-4911-a117-fbf5d9f74896","year":2015},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:51.336079Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:f5793d5e4022b5fa830559bbc7980c691b3405e4481eab1f7e48b31a8471012f","observation_id":"fb3376a5-b025-410c-ac7f-5f610af3459b","resolution":{"observed_at":"2026-08-06T17:04:57.958636Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:57.620106Z","title":"Majima, Asymptotic analysis for integrable connections with irregular singular points","venue":null,"work_id":"ff505754-c86c-463d-b410-1474ca7c3350","year":null},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:51.398014Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:fb0470fcc8da26535893e8016e6f19c08e1a8a06c6e5725b72f4adf5c1b9ba8f","observation_id":"0d1992a2-2be4-4757-af1d-bcacbdb56280","resolution":{"observed_at":"2026-08-06T17:04:57.718475Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:57.411651Z","title":"Milnor, A procedure for killing homotopy groups of differentiable manifolds","venue":null,"work_id":"6e898989-6fab-4d75-96bb-267a8db19212","year":1961},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:51.463659Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:d9eb0db18d07ea068a4b4e5f52bdc387b78bc2bf0317e3fda286fea1dd35e06a","observation_id":"8d1b38c4-f127-4b6f-ba7a-6c9ac1d624c5","resolution":{"observed_at":"2026-08-06T17:04:57.510198Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:57.218064Z","title":"Milnor, Singular points of complex hypersurfaces","venue":null,"work_id":"15193618-ce83-4a49-9dad-9d9400f4ab8c","year":1968},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:51.523465Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:9153dc80c5bbe6ba9cd6d7516106f1e364fb989a9bc5b3c0905d1f4ce4675c5d","observation_id":"962533fe-8b56-4c7d-8a7c-7fa89af2eb3a","resolution":{"observed_at":"2026-08-06T17:04:57.303953Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:57.064116Z","title":"Mumford, The topology of normal singularities of an algebraic surface and a criterion for simplicity","venue":null,"work_id":"6eccc5a7-29a8-4a77-91a4-b224fed56644","year":1961},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:51.573098Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:0b0cf1de211f890ea40fe902fae7948471ed6d9629942450ff66c441a91a9fad","observation_id":"2b780dc0-ab2b-46c7-8cb8-94c756584048","resolution":{"observed_at":"2026-08-06T17:04:57.126786Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:56.860193Z","title":"Nakayama, A","venue":null,"work_id":"4927262b-2a2a-4d25-bcad-5a17d0095288","year":2010},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:51.635719Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:27fee574651bfd8fb84a069770a8d6eade872486b25d4274ded2ccd15a546fe9","observation_id":"013b906d-a347-4869-919b-d65fe32e94c4","resolution":{"observed_at":"2026-08-06T17:04:56.923623Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:56.749031Z","title":"Oda, Convex bodies and algebraic geometry","venue":null,"work_id":"530abf0d-8a31-414e-a68d-5866cb8ae83d","year":1988},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:51.696277Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:4b604b797b31f8945d5717fe6036a30dd8430cd6b7078ecbeb337ac428129b34","observation_id":"e6b7e7a9-d1b9-4630-8b2a-b9d3faecc7f1","resolution":{"observed_at":"2026-08-06T17:04:56.814276Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:56.637256Z","title":"Ogus, Lectures on logarithmic algebraic geometry","venue":null,"work_id":"f47b1df0-80e8-4527-92df-6412628427d5","year":2018},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:51.743741Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:32486eafe18939fd8b191cd073116b47f9fee34f8faea3f9e45f5a280b5d2546","observation_id":"88aa07d9-7c9d-4523-ba17-0f6622e07a84","resolution":{"observed_at":"2026-08-06T17:04:56.679592Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:56.508292Z","title":"Parusi´ nski,Blow-Analytic Retraction onto the Central Fibre","venue":null,"work_id":"70a15663-f394-4484-882a-093603852425","year":1998},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:51.782782Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:d9d85c2c7ce34ec7c05101a315c334fc2a89f8047effb0c5b7831cff462bb1aa","observation_id":"e0da82df-f8a6-4db1-ab52-edd16a7dd693","resolution":{"observed_at":"2026-08-06T17:04:56.574187Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:56.369403Z","title":"Persson, On degenerations of algebraic surfaces","venue":null,"work_id":"2700d0c6-8737-4e77-92f5-c1622af0cc71","year":1977},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:51.847694Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:ab57ff63b1f1c0bd93b2c6a35c4c7905aae767714241c5216e4f671e853e36ab","observation_id":"0a3e68cb-611f-4802-91d2-bb499c845976","resolution":{"observed_at":"2026-08-06T17:04:56.446944Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:56.170963Z","title":"Popescu-Pampu, On the analytical invariance of the semigroups of a quasi-ordinary hypersurface singularity","venue":null,"work_id":"17397ee9-20a6-4f7a-a945-fa90d09d8759","year":2004},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:51.896539Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:e446bd317dc56dc5bff3b554dd402ef1f50d375e481a4e2ff938ba6948e9f485","observation_id":"d6a7c77a-f832-4b30-8483-4dcbed082731","resolution":{"observed_at":"2026-08-06T17:04:56.263605Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:56.033594Z","title":"Popescu-Pampu, From singularities to graphs","venue":null,"work_id":"3118503a-c6b8-4858-84eb-62126f23e186","year":2022},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:51.946466Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:dd65b3108af28a8b870f79edd93b6da185084ccb10c04aeaefcba6e9c6f9544d","observation_id":"d050e7bf-26ee-42de-ba89-d5d05aae0050","resolution":{"observed_at":"2026-08-06T17:04:56.095661Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:55.855260Z","title":"Popescu-Pampu, Tropical and logarithmic techniques for the study of Milnor fibers","venue":null,"work_id":"d6debd07-3833-4003-b1bb-6bc340aee191","year":null},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:52.014751Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:1b03681bf435c9c7ee336307d0d4b38fcddf6deaafc7c5736165f458a2e41f38","observation_id":"62e35b6d-5e35-4d09-bdc0-7670e655b9c8","resolution":{"observed_at":"2026-08-06T17:04:55.936891Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:55.696517Z","title":"Popescu-Pampu, D","venue":null,"work_id":"2a9392e2-2968-4f66-8e17-761bf1ef3342","year":2013},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:52.018998Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:128977e9cb5295753ec8d8af364baad8b855680e401da0b74ba3b7d995e43211","observation_id":"41a66ee2-afa8-4131-9ead-d9572bcc4657","resolution":{"observed_at":"2026-08-06T17:04:55.765736Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:55.548624Z","title":"Popescu-Pampu, D","venue":null,"work_id":"19f5e6e5-eb19-49cb-b353-b246c39a8c62","year":2025},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:52.024140Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:8cc4136d7ceb3b1f7eb0a98818d2ac3a607f1474004333eeeb6376dabe4f3020","observation_id":"6525ff3f-d1af-487b-9bf3-6889ae64f827","resolution":{"observed_at":"2026-08-06T17:04:55.613196Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2305.12555","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:04:53.649959Z","title":"Portilla Cuadrado, B","venue":null,"work_id":"7262dce9-53a4-47fa-87d7-969664e2d260","year":null},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:52.061838Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:54711013558cfd71faed11a8bd588e360dba341290d1a441b05726aaf1f25509","observation_id":"dc4efcd1-1983-421e-818e-0a8affbbac91","resolution":{"observed_at":"2026-08-06T17:04:53.716306Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:55.427918Z","title":"Rau, Real Semi-Stable Degenerations, Real-Oriented Blow-Ups, and Straightening Corners","venue":null,"work_id":"20379a4f-3e03-4400-a14f-e6816093d01c","year":2023},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:52.214851Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:d9c2c6254a27880a1546fc037aca58e4f0bbf9ec6ad640c3cfa9ceea884718ba","observation_id":"d86e744c-3dc2-4037-af82-52fca77f3648","resolution":{"observed_at":"2026-08-06T17:04:55.491359Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:55.273803Z","title":"Riemann, Collected papers","venue":null,"work_id":"0b71c7fd-a4ca-46df-89ab-36a404992533","year":2004},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:52.335399Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:de3431b84caa59c568d94b777cfad8295f63cdc6eb5a107da0e8832811e75c4d","observation_id":"04af9d8f-4619-4bdd-8511-79f82ad857bf","resolution":{"observed_at":"2026-08-06T17:04:55.323567Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:55.130658Z","title":"Riemann, Grundlagen f¨ ur eine allgemeine Theorie der Functionen einer ver¨ anderlichen complexen Gr¨ osse","venue":null,"work_id":"b74988cd-1a96-4d20-ab86-b576cb7fb8d1","year":null},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:52.551911Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:2e999700143683fa30a0bf592b6e9be5c704e66280493cf2b4405213451eac93","observation_id":"754415b0-ee12-4ceb-b713-9215f57b5e02","resolution":{"observed_at":"2026-08-06T17:04:55.203606Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:54.996362Z","title":"Riemann, Theorie der Abel’schen Functionen","venue":null,"work_id":"dfbd75b1-c9f3-434a-a440-6ca50312de6d","year":null},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:52.637956Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:e35684eb5d11dd7be76cba6f1794a3f6f678d3324f5fdff963659a4b65ef19be","observation_id":"83d04c75-df72-46f9-b0db-818e14e5465d","resolution":{"observed_at":"2026-08-06T17:04:55.083233Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:54.860937Z","title":"Seade, On Milnor’s fibration theorem and its offspring after 50 years","venue":null,"work_id":"4da74124-e0e9-480f-8ae2-0456e0adb8da","year":2019},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:52.711329Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:2ccfe66acaa1933d29e3ffdfa095e9f416d7af50da00833d42e666c6ec5d6a1e","observation_id":"0cac8383-bc75-4dae-b630-32e31b1623dc","resolution":{"observed_at":"2026-08-06T17:04:54.938370Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:54.724210Z","title":null,"venue":null,"work_id":"8888bfc9-70d3-4204-8390-b4ecf0ab8cb1","year":1972},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:52.763135Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:91461d75d96a8baac0356f487b4f677e60134e6600730c617b13dc1e1a6ec216","observation_id":"aeab7f54-bb4a-44f1-8355-a716d078ac4c","resolution":{"observed_at":"2026-08-06T17:04:54.774606Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:54.580541Z","title":null,"venue":null,"work_id":"266f667b-d0fd-42d3-bb57-baefa35ec9ce","year":2006},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:52.844047Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:fdd1625dd1360a168b914330522d2665d92f2161b3e4aeee20bb169a8694910a","observation_id":"2a3e4699-7e1b-4159-bb56-c5e358d24a4b","resolution":{"observed_at":"2026-08-06T17:04:54.615822Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:54.431831Z","title":"Sumihiro, Equivariant completion","venue":null,"work_id":"8b655428-9d67-44d0-88ee-0341349005e8","year":1974},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:52.947276Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:b27ea03bef7d30bc057b42d667fd5f24bb3a1df8a574250a010576cf98a15386","observation_id":"71bd3c26-e487-4c94-931a-92d6bdb31022","resolution":{"observed_at":"2026-08-06T17:04:54.476623Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:54.291465Z","title":"Talpo, A","venue":null,"work_id":"ab4fcdb7-5c71-4a57-b780-4bd21af07a13","year":2018},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:53.025338Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:5e8e4fc7fc29e857ee56d15f3601a893bd11f530082781489c4735705915ae64","observation_id":"0d96d7e9-c094-4810-b994-b5916219f16d","resolution":{"observed_at":"2026-08-06T17:04:54.378012Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:54.183741Z","title":"Teissier, Vari´ et´ es toriques et polytopes.Bourbaki Seminar, Vol","venue":null,"work_id":"3b591532-0b5d-4aa5-9641-b1d31a784967","year":1980},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:53.102087Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:1cfb9cce58c7f96392ac481f43391d8d823e2474d36c777a50f1bfc1a812264c","observation_id":"6c3a3181-3b93-4ab1-9b4b-b10efd8bf766","resolution":{"observed_at":"2026-08-06T17:04:54.254865Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2206.07512","last_updated":"2022-06-14T15:41:46Z","snapshot_observed_at":"2026-08-18T07:06:38.183302Z","submitted_at":"2022-06-14T15:41:46Z","title":"Introduction to Sheaf Cohomology","version":1},"cited_work":{"arxiv_id":"2206.07512","doi":null,"metadata_source":"pith","pith_arxiv_id":"2206.07512","snapshot_observed_at":"2026-08-06T17:04:53.442300Z","title":"Introduction to Sheaf Cohomology","venue":"math.AT","work_id":"85891c4b-a602-41c7-b38a-e57455991d3d","year":2022},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:53.140299Z"},"links":{"cited_paper":"/paper/2206.07512","citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:21dee34d967170b4b28ec5c499e93a3bb0179f929b0761debe1988ea62c59c72","observation_id":"4eaf90e9-d3a2-4ae8-823c-f92d8b986007","resolution":{"observed_at":"2026-08-06T17:04:53.476611Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:54.010774Z","title":"Usui, Recovery of vanishing cycles by log geometry","venue":null,"work_id":"1e71206d-5e8b-4387-aef1-4b22274b81f8","year":2001},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:53.264959Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:139064907ee980ad300b3830b08c0aa1837c98eaa238a0739a5b8baf5fa8a79d","observation_id":"9de8bcc8-3b3d-46c0-9eea-8c3112e8c456","resolution":{"observed_at":"2026-08-06T17:04:54.109350Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:53.909093Z","title":null,"venue":null,"work_id":"68d3d68a-4484-415b-b983-1211572bb11c","year":1960},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:53.341871Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:9be71d687fefc3d26866537e036b434269225bba4605b51eed759fa6814f3a0c","observation_id":"5d0326d8-5ef6-4a35-8efa-e94cda816b92","resolution":{"observed_at":"2026-08-06T17:04:53.955524Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-06T17:04:58.800611Z","title":null,"venue":null,"work_id":"272f7527-0294-42ad-a81f-0595d1aa5966","year":null},"citing_paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries","version":1},"reference_index":1973,"source":"pdf_text","source_observed_at":"2026-08-06T17:04:51.093001Z"},"links":{"citing_paper":"/paper/2507.11982"},"observation_digest":"sha256:5bbdb3b20ae19e23a50077dd4b2297e1e7b9c251e1b08fc02e9f9e4654713289","observation_id":"a5eef5f3-eb86-4c99-8199-3ab07c278a06","resolution":{"observed_at":"2026-08-06T17:04:58.899167Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.11982","last_updated":"2025-07-16T07:25:56Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-20T09:47:58.835513Z","submitted_at":"2025-07-16T07:25:56Z","title":"An introduction to real oriented blowups in toric, toroidal and logarithmic geometries"},"reference_resolution":{"displayed":81,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":19,"verified_exact":3,"verified_fuzzy":59},"total_outbound_references":81},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 81 of 81 outbound references and 0 inbound Pith citation observations for arXiv:2507.11982."}