{"as_of":"2026-08-20T17:17:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a6e335f735e69e0e0130efa2f8d0d301f891be8af0c0ec3ef1f62aa861f5f90a","coverage":[{"denominator":26,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":26,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T10:54:48.029029Z","state":"measured"},{"denominator":27,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":27,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T19:50:21.350846Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-15T19:50:21.632498Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.16295","last_updated":"2024-12-20T19:11:14Z","snapshot_observed_at":"2026-08-19T05:25:08.868967Z","submitted_at":"2024-12-20T19:11:14Z","title":"The contraction morphism between maps and quasimaps to toric varieties","version":1},"cited_work":{"arxiv_id":"2412.16295","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.16295","snapshot_observed_at":"2026-08-15T19:50:21.632498Z","title":"The contraction morphism between maps and quasimaps to toric varieties","venue":"math.AG","work_id":"4f345318-4600-423f-8726-f87f302f0547","year":2024},"citing_paper":{"arxiv_id":"2506.16221","last_updated":"2025-06-19T11:25:35Z","snapshot_observed_at":"2026-08-19T23:40:45.961939Z","submitted_at":"2025-06-19T11:25:35Z","title":"Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-15T19:50:21.350846Z"},"links":{"cited_paper":"/paper/2412.16295","citing_paper":"/paper/2506.16221"},"observation_digest":"sha256:cda2b06effbfe75ee61e912625f025120852802a2e4538552e7a890c1ecf30b4","observation_id":"bfaeed50-d714-4716-a345-86bf3e2f1dce","resolution":{"observed_at":"2026-08-15T19:50:21.641219Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.16295/citation-record","integrity":"/paper/2412.16295/integrity","json":"/paper/2412.16295/citation-record.json","paper":"/paper/2412.16295"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"1710.11158","last_updated":"2020-12-18T18:35:25Z","snapshot_observed_at":"2026-08-14T20:18:46.058367Z","submitted_at":"2017-10-30T18:10:57Z","title":"Relative quasimaps and mirror formulae","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1710.11158","snapshot_observed_at":"2026-08-11T10:54:47.930970Z","title":"A L efschetz-type theorem for quasimap invariants via relative quasimaps","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.16295","last_updated":"2024-12-20T19:11:14Z","snapshot_observed_at":"2026-08-19T05:25:08.868967Z","submitted_at":"2024-12-20T19:11:14Z","title":"The contraction morphism between maps and quasimaps to toric varieties","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-11T10:54:47.930970Z"},"links":{"cited_paper":"/paper/1710.11158","citing_paper":"/paper/2412.16295"},"observation_digest":"sha256:d20d95268c1ca5dd02b735e3dd9eac1046738d1919a1b2b7a8aa579579806b59","observation_id":"7a1ce398-30b6-4f8d-8e88-0febd403efd8","resolution":{"observed_at":"2026-08-11T10:54:47.930970Z","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":"2026-08-11T10:54:48.496724Z","title":"Relative quasimaps and mirror formulae","venue":null,"work_id":"ed2844d7-bb12-44ba-a56b-accbbc294ff4","year":2021},"citing_paper":{"arxiv_id":"2412.16295","last_updated":"2024-12-20T19:11:14Z","snapshot_observed_at":"2026-08-19T05:25:08.868967Z","submitted_at":"2024-12-20T19:11:14Z","title":"The contraction morphism between maps and quasimaps to toric varieties","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-11T10:54:47.936124Z"},"links":{"citing_paper":"/paper/2412.16295"},"observation_digest":"sha256:6f3e1f12cb196f81f8e0d8a63dd9e1766d1fb3eb78eeb279b29a9d549ae5a6f2","observation_id":"02e0842a-69ca-4b75-9ae9-f9d16088f4f8","resolution":{"observed_at":"2026-08-11T10:54:48.500674Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:54:48.484524Z","title":"Orbifold quasimap theory","venue":null,"work_id":"444ad951-4995-4fde-9d77-ec32d43155c0","year":2015},"citing_paper":{"arxiv_id":"2412.16295","last_updated":"2024-12-20T19:11:14Z","snapshot_observed_at":"2026-08-19T05:25:08.868967Z","submitted_at":"2024-12-20T19:11:14Z","title":"The contraction morphism between maps and quasimaps to toric varieties","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-11T10:54:47.940235Z"},"links":{"citing_paper":"/paper/2412.16295"},"observation_digest":"sha256:77d623c7705b06492d0152ff746a434819fe27f3831d22c61c720549855100b0","observation_id":"9cd1e838-f64c-47ee-a9c5-4d1a8ff116b2","resolution":{"observed_at":"2026-08-11T10:54:48.488548Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T10:54:47.944198Z","title":"Moduli stacks of stable toric quasimaps","venue":null,"work_id":null,"year":1965},"citing_paper":{"arxiv_id":"2412.16295","last_updated":"2024-12-20T19:11:14Z","snapshot_observed_at":"2026-08-19T05:25:08.868967Z","submitted_at":"2024-12-20T19:11:14Z","title":"The contraction morphism between maps and quasimaps to toric varieties","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-11T10:54:47.944198Z"},"links":{"citing_paper":"/paper/2412.16295"},"observation_digest":"sha256:655edc5f5901f25a31b9b84c9c33287d6cc0ca92e438d95eca73ecfefc331f1e","observation_id":"939ba5fd-f5c2-4dc7-bdcf-afdb8bcbb637","resolution":{"observed_at":"2026-08-11T10:54:47.944198Z","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":"2026-08-11T10:54:48.465492Z","title":"Wall-crossing in genus zero quasimap theory and mirror maps","venue":null,"work_id":"5cf23e0d-72c8-46e2-9a05-9e01ce65385d","year":2014},"citing_paper":{"arxiv_id":"2412.16295","last_updated":"2024-12-20T19:11:14Z","snapshot_observed_at":"2026-08-19T05:25:08.868967Z","submitted_at":"2024-12-20T19:11:14Z","title":"The contraction morphism between maps and quasimaps to toric varieties","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-11T10:54:47.948795Z"},"links":{"citing_paper":"/paper/2412.16295"},"observation_digest":"sha256:2e46e0e2e7677ec342b97d65d5a4d4f80bf96fac088a0416817fa41fa4976c64","observation_id":"444c263e-b03f-477a-ae87-6b2a62861124","resolution":{"observed_at":"2026-08-11T10:54:48.469501Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:54:48.453349Z","title":"Big I -functions","venue":null,"work_id":"89b6c944-4536-44b0-90c4-d80282d46636","year":2013},"citing_paper":{"arxiv_id":"2412.16295","last_updated":"2024-12-20T19:11:14Z","snapshot_observed_at":"2026-08-19T05:25:08.868967Z","submitted_at":"2024-12-20T19:11:14Z","title":"The contraction morphism between maps and quasimaps to toric varieties","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-11T10:54:47.953353Z"},"links":{"citing_paper":"/paper/2412.16295"},"observation_digest":"sha256:f6afbacc281b9e443e9b5b724f13858b2234e858ede15e62c98b06f8bd92059c","observation_id":"5990750a-f701-4225-984d-1dfa0994dcf3","resolution":{"observed_at":"2026-08-11T10:54:48.457167Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:54:48.440953Z","title":"Higher genus quasimap wall-crossing for semipositive targets","venue":null,"work_id":"e369486b-9c80-4977-85c3-46c88999dc3c","year":2017},"citing_paper":{"arxiv_id":"2412.16295","last_updated":"2024-12-20T19:11:14Z","snapshot_observed_at":"2026-08-19T05:25:08.868967Z","submitted_at":"2024-12-20T19:11:14Z","title":"The contraction morphism between maps and quasimaps to toric varieties","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-11T10:54:47.958953Z"},"links":{"citing_paper":"/paper/2412.16295"},"observation_digest":"sha256:2a077fc459d373bf4c50f90de765fdfee84f6ca3fd9a912ef73c6b33185184b5","observation_id":"f4a6ddc1-f69f-4538-a30a-37aca5b9bb1d","resolution":{"observed_at":"2026-08-11T10:54:48.445017Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T10:54:47.962655Z","title":"Quasimap wall-crossings and mirror symmetry","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.16295","last_updated":"2024-12-20T19:11:14Z","snapshot_observed_at":"2026-08-19T05:25:08.868967Z","submitted_at":"2024-12-20T19:11:14Z","title":"The contraction morphism between maps and quasimaps to toric varieties","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-11T10:54:47.962655Z"},"links":{"citing_paper":"/paper/2412.16295"},"observation_digest":"sha256:fff9652c136ac68c2a0f311d88d722e89e4d78c6077fbb14365bc147cfed0e0a","observation_id":"469e1f93-952d-49d7-a30b-29665e3e569b","resolution":{"observed_at":"2026-08-11T10:54:47.962655Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T10:54:47.966455Z","title":"Stable quasimaps to GIT quotients","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2412.16295","last_updated":"2024-12-20T19:11:14Z","snapshot_observed_at":"2026-08-19T05:25:08.868967Z","submitted_at":"2024-12-20T19:11:14Z","title":"The contraction morphism between maps and quasimaps to toric varieties","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-11T10:54:47.966455Z"},"links":{"citing_paper":"/paper/2412.16295"},"observation_digest":"sha256:a0df64045372be395ada8b924be731995e8dd4dd9bfbdddf50124f5c2d7f2727","observation_id":"2205ccbf-5e84-4196-948f-58d438203436","resolution":{"observed_at":"2026-08-11T10:54:47.966455Z","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":"2026-08-11T10:54:48.415502Z","title":"Higher-genus wall-crossing in the gauged linear sigma model","venue":null,"work_id":"0187d0c5-0532-45ff-b899-db47a1364c48","year":2021},"citing_paper":{"arxiv_id":"2412.16295","last_updated":"2024-12-20T19:11:14Z","snapshot_observed_at":"2026-08-19T05:25:08.868967Z","submitted_at":"2024-12-20T19:11:14Z","title":"The contraction morphism between maps and quasimaps to toric varieties","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-11T10:54:47.970060Z"},"links":{"citing_paper":"/paper/2412.16295"},"observation_digest":"sha256:e2e464f4a81e3a32724ecab916e3e39ec7edfabe4ce3b156c5dfd42cb3990f92","observation_id":"0791d0da-c46e-403e-af7e-f400cd0c37f6","resolution":{"observed_at":"2026-08-11T10:54:48.419531Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T10:54:47.973685Z","title":"Cox, John B","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2412.16295","last_updated":"2024-12-20T19:11:14Z","snapshot_observed_at":"2026-08-19T05:25:08.868967Z","submitted_at":"2024-12-20T19:11:14Z","title":"The contraction morphism between maps and quasimaps to toric varieties","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-11T10:54:47.973685Z"},"links":{"citing_paper":"/paper/2412.16295"},"observation_digest":"sha256:1cdb747447fe4ee8ee20f58fe270cb2300d63c2d94c4fc9001ff5c4cc264d933","observation_id":"9d2853b7-0e43-444b-8b3f-92d4e4d3531c","resolution":{"observed_at":"2026-08-11T10:54:47.973685Z","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":"2026-08-11T10:54:48.396337Z","title":"The functor of a smooth toric variety","venue":null,"work_id":"ccc0b20f-9bdc-4648-ac1d-9ef0a8f56c5d","year":1995},"citing_paper":{"arxiv_id":"2412.16295","last_updated":"2024-12-20T19:11:14Z","snapshot_observed_at":"2026-08-19T05:25:08.868967Z","submitted_at":"2024-12-20T19:11:14Z","title":"The contraction morphism between maps and quasimaps to toric varieties","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-11T10:54:47.977348Z"},"links":{"citing_paper":"/paper/2412.16295"},"observation_digest":"sha256:bfd2d5ffc668331633f0e640c8f877b47c28025ebe855d8240ff865f47a1c380","observation_id":"91fb909a-3032-4e5b-8ffc-898b3d00d4af","resolution":{"observed_at":"2026-08-11T10:54:48.400753Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:54:48.384533Z","title":"Gromov- W itten and quasimap invariants of toric varieties - a geometric perspective","venue":null,"work_id":"baad9b6e-70a4-473a-b09b-bca471e4d302","year":2024},"citing_paper":{"arxiv_id":"2412.16295","last_updated":"2024-12-20T19:11:14Z","snapshot_observed_at":"2026-08-19T05:25:08.868967Z","submitted_at":"2024-12-20T19:11:14Z","title":"The contraction morphism between maps and quasimaps to toric varieties","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-11T10:54:47.981153Z"},"links":{"citing_paper":"/paper/2412.16295"},"observation_digest":"sha256:85c6e9901be4c4248754b00b839809f1a5f6678d07604ca63a9ce9d5966540e6","observation_id":"42646059-acc7-4d00-b8e2-6857e33f3d7c","resolution":{"observed_at":"2026-08-11T10:54:48.388676Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2404.01381","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T10:54:48.231665Z","title":"The local/logarithmic correspondence and the degeneration formula for quasimaps","venue":null,"work_id":"83d831cb-174b-400b-a2cc-01c399814855","year":2024},"citing_paper":{"arxiv_id":"2412.16295","last_updated":"2024-12-20T19:11:14Z","snapshot_observed_at":"2026-08-19T05:25:08.868967Z","submitted_at":"2024-12-20T19:11:14Z","title":"The contraction morphism between maps and quasimaps to toric varieties","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-11T10:54:47.984787Z"},"links":{"citing_paper":"/paper/2412.16295"},"observation_digest":"sha256:b62098daf003ad591de501fe52ea084d6a9fe7acd5257e18b8a9de6a7727f29e","observation_id":"5f642ef6-b53a-49f8-8e4e-0335713e1923","resolution":{"observed_at":"2026-08-11T10:54:48.237890Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:54:48.372392Z","title":"Mirror symmetry for stable quotients invariants","venue":null,"work_id":"da0736c1-cace-42e2-95d1-ece1e9ab5e5d","year":2014},"citing_paper":{"arxiv_id":"2412.16295","last_updated":"2024-12-20T19:11:14Z","snapshot_observed_at":"2026-08-19T05:25:08.868967Z","submitted_at":"2024-12-20T19:11:14Z","title":"The contraction morphism between maps and quasimaps to toric varieties","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-11T10:54:47.988542Z"},"links":{"citing_paper":"/paper/2412.16295"},"observation_digest":"sha256:3782449d714ceb63d9401ff49fcffd7f0c57c9462c426e9493196f1b715d5f9d","observation_id":"b4085c9f-2973-48db-90c9-d24ce5180811","resolution":{"observed_at":"2026-08-11T10:54:48.376459Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:54:48.360491Z","title":"A mathematical theory of the gauged linear sigma model","venue":null,"work_id":"f45898a6-185e-4e6b-8ba5-36ac4788b468","year":2018},"citing_paper":{"arxiv_id":"2412.16295","last_updated":"2024-12-20T19:11:14Z","snapshot_observed_at":"2026-08-19T05:25:08.868967Z","submitted_at":"2024-12-20T19:11:14Z","title":"The contraction morphism between maps and quasimaps to toric varieties","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-11T10:54:47.992115Z"},"links":{"citing_paper":"/paper/2412.16295"},"observation_digest":"sha256:663ae141d810e5d17da73f4d61c5cf849e52dd804c538dc682ef7ebfb587238b","observation_id":"dafbf950-950c-4841-8e1a-eb6dd640f7c5","resolution":{"observed_at":"2026-08-11T10:54:48.364577Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:54:48.348867Z","title":"A Mirror Theorem for Toric Complete Intersections , pages 141--175","venue":null,"work_id":"82e30bf4-93c4-48d0-975c-b80b6a3cfa92","year":1998},"citing_paper":{"arxiv_id":"2412.16295","last_updated":"2024-12-20T19:11:14Z","snapshot_observed_at":"2026-08-19T05:25:08.868967Z","submitted_at":"2024-12-20T19:11:14Z","title":"The contraction morphism between maps and quasimaps to toric varieties","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-11T10:54:47.995530Z"},"links":{"citing_paper":"/paper/2412.16295"},"observation_digest":"sha256:0beff27224cc71dc05ae923de3b8e4d4c58fad4411928413e578cc03ca5f7f0e","observation_id":"1c781638-6005-4e90-b25c-504c01db1212","resolution":{"observed_at":"2026-08-11T10:54:48.352944Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:54:48.336448Z","title":"Mirror theorem for elliptic quasimap invariants","venue":null,"work_id":"e3299dd6-dc67-4936-b2b4-7f10038a265f","year":2018},"citing_paper":{"arxiv_id":"2412.16295","last_updated":"2024-12-20T19:11:14Z","snapshot_observed_at":"2026-08-19T05:25:08.868967Z","submitted_at":"2024-12-20T19:11:14Z","title":"The contraction morphism between maps and quasimaps to toric varieties","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-11T10:54:47.999217Z"},"links":{"citing_paper":"/paper/2412.16295"},"observation_digest":"sha256:ffe82ada520feda1447d29cb05c6df92edf2d8641c4c4ad3c66c82583c536bef","observation_id":"39e452f6-eb42-4aa9-9939-114080bf754b","resolution":{"observed_at":"2026-08-11T10:54:48.340734Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.11386","last_updated":"2022-10-20T16:26:55Z","snapshot_observed_at":"2026-08-19T10:39:52.973489Z","submitted_at":"2022-10-20T16:26:55Z","title":"Derived moduli of sections and push-forwards","version":1},"cited_work":{"arxiv_id":"2210.11386","doi":null,"metadata_source":"pith","pith_arxiv_id":"2210.11386","snapshot_observed_at":"2026-08-11T10:54:48.059760Z","title":"Derived moduli of sections and push-forwards","venue":"math.AG","work_id":"6595fcfb-4f93-4c83-b1ac-cf46e0adf34e","year":2022},"citing_paper":{"arxiv_id":"2412.16295","last_updated":"2024-12-20T19:11:14Z","snapshot_observed_at":"2026-08-19T05:25:08.868967Z","submitted_at":"2024-12-20T19:11:14Z","title":"The contraction morphism between maps and quasimaps to toric varieties","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-11T10:54:48.002889Z"},"links":{"cited_paper":"/paper/2210.11386","citing_paper":"/paper/2412.16295"},"observation_digest":"sha256:3c9e7fb5e5ae7f851855f2fc5f4c687d3f36201f7e58caa9361c8f143db3e003","observation_id":"5eb8ebea-fcc9-48a3-b48b-fb2ceab97523","resolution":{"observed_at":"2026-08-11T10:54:48.066177Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:54:48.324956Z","title":"Stable quotients and the holomorphic anomaly equation","venue":null,"work_id":"2e428db3-87ab-486b-bb6f-bb214134919e","year":2018},"citing_paper":{"arxiv_id":"2412.16295","last_updated":"2024-12-20T19:11:14Z","snapshot_observed_at":"2026-08-19T05:25:08.868967Z","submitted_at":"2024-12-20T19:11:14Z","title":"The contraction morphism between maps and quasimaps to toric varieties","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-11T10:54:48.006721Z"},"links":{"citing_paper":"/paper/2412.16295"},"observation_digest":"sha256:c52667379cb73046561fc9ef9b077ab9bd6464577fa748b2d65ebb7b73e7cc9b","observation_id":"adbd2b5b-e2ee-44cd-9659-b9a8465b2a5f","resolution":{"observed_at":"2026-08-11T10:54:48.328761Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:54:48.313172Z","title":"Virtual push-forwards","venue":null,"work_id":"2a122ba3-30a4-45f1-9ef6-6642f4d2368a","year":2003},"citing_paper":{"arxiv_id":"2412.16295","last_updated":"2024-12-20T19:11:14Z","snapshot_observed_at":"2026-08-19T05:25:08.868967Z","submitted_at":"2024-12-20T19:11:14Z","title":"The contraction morphism between maps and quasimaps to toric varieties","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-11T10:54:48.010372Z"},"links":{"citing_paper":"/paper/2412.16295"},"observation_digest":"sha256:efebb248eb1894d470604299a5222fc68d888e6fafdc6cf2118aeac6b4bb0b55","observation_id":"89ed4d22-cb2f-4458-a27c-5c87db302af7","resolution":{"observed_at":"2026-08-11T10:54:48.317076Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:54:48.301388Z","title":"Stable maps and stable quotients","venue":null,"work_id":"eb7bcd7f-bbad-4088-b2c7-f9ba130102ec","year":2014},"citing_paper":{"arxiv_id":"2412.16295","last_updated":"2024-12-20T19:11:14Z","snapshot_observed_at":"2026-08-19T05:25:08.868967Z","submitted_at":"2024-12-20T19:11:14Z","title":"The contraction morphism between maps and quasimaps to toric varieties","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-11T10:54:48.014124Z"},"links":{"citing_paper":"/paper/2412.16295"},"observation_digest":"sha256:aa0c704b529b1f3987ae881b354b80f1ed17e8974b55ae35547ab6616765bbee","observation_id":"a135e123-2d8d-453e-b27c-d9c8c840fae2","resolution":{"observed_at":"2026-08-11T10:54:48.305636Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:54:48.289460Z","title":"The moduli space of stable quotients","venue":null,"work_id":"50183682-8814-4a83-b41e-bd5be885addd","year":2011},"citing_paper":{"arxiv_id":"2412.16295","last_updated":"2024-12-20T19:11:14Z","snapshot_observed_at":"2026-08-19T05:25:08.868967Z","submitted_at":"2024-12-20T19:11:14Z","title":"The contraction morphism between maps and quasimaps to toric varieties","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-11T10:54:48.017844Z"},"links":{"citing_paper":"/paper/2412.16295"},"observation_digest":"sha256:7d7b03eabe56f8e19fb725ae2ec1a56d5b915581ee849eb7a16d6746ca0f649b","observation_id":"6c156ab0-c9ad-4745-a594-c4bb4bec80d5","resolution":{"observed_at":"2026-08-11T10:54:48.293529Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T10:54:48.277909Z","title":"Stable maps and quot schemes","venue":null,"work_id":"c53698b4-050f-496c-9a0f-99279aac2834","year":2003},"citing_paper":{"arxiv_id":"2412.16295","last_updated":"2024-12-20T19:11:14Z","snapshot_observed_at":"2026-08-19T05:25:08.868967Z","submitted_at":"2024-12-20T19:11:14Z","title":"The contraction morphism between maps and quasimaps to toric varieties","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-11T10:54:48.021718Z"},"links":{"citing_paper":"/paper/2412.16295"},"observation_digest":"sha256:9a91b478605b21ad775701836f7aa4f91889468cac0ab56ef52a2fff121ae75f","observation_id":"0d7ea811-d9ab-4655-a61e-05e1ceeedf60","resolution":{"observed_at":"2026-08-11T10:54:48.281758Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T10:54:48.025363Z","title":"The stacks project","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.16295","last_updated":"2024-12-20T19:11:14Z","snapshot_observed_at":"2026-08-19T05:25:08.868967Z","submitted_at":"2024-12-20T19:11:14Z","title":"The contraction morphism between maps and quasimaps to toric varieties","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-11T10:54:48.025363Z"},"links":{"citing_paper":"/paper/2412.16295"},"observation_digest":"sha256:7cf82df0bafd7b441153b2b799b7648ef62dcdd6518c159c47c7599484a765f0","observation_id":"c03a9e9c-96cf-4551-b7a6-fccf823d298e","resolution":{"observed_at":"2026-08-11T10:54:48.025363Z","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":"2026-08-11T10:54:48.258490Z","title":"Moduli spaces of stable quotients and wall-crossing phenomena","venue":null,"work_id":"4a1867a1-0d07-48be-a4cb-863661138bba","year":2011},"citing_paper":{"arxiv_id":"2412.16295","last_updated":"2024-12-20T19:11:14Z","snapshot_observed_at":"2026-08-19T05:25:08.868967Z","submitted_at":"2024-12-20T19:11:14Z","title":"The contraction morphism between maps and quasimaps to toric varieties","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-11T10:54:48.029029Z"},"links":{"citing_paper":"/paper/2412.16295"},"observation_digest":"sha256:9b85390f6a569bce233f7a08b5c4c30be0739eefae7825584da864fc82b40698","observation_id":"ad48d3b3-e45c-4151-86a5-63562a56a267","resolution":{"observed_at":"2026-08-11T10:54:48.262861Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.16295","last_updated":"2024-12-20T19:11:14Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-19T05:25:08.868967Z","submitted_at":"2024-12-20T19:11:14Z","title":"The contraction morphism between maps and quasimaps to toric varieties"},"reference_resolution":{"displayed":26,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":2,"verified_fuzzy":18},"total_outbound_references":26},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2412.16295."}