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Paper Citation Record · LEDGER

The contraction morphism between maps and quasimaps to toric varieties

As of 19 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2412.16295.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2412.16295 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T10:54:48.029029Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:50:21.350846Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-15T19:50:21.632498Z

Reference resolution

26 of 26 outbound references displayed

  • verified exact2
  • verified fuzzy18
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7a1ce398-30b6-4f8d-8e88-0febd403efd8 · outbound

This paper cites Relative quasimaps and mirror formulae.

The contraction morphism between maps and quasimaps to toric varieties Relative quasimaps and mirror formulae

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-11T10:54:47.930970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T10:54:47.930970Z digest=sha256:d20d95268c1ca5dd02b735e3dd9eac1046738d1919a1b2b7a8aa579579806b59

Observation 02e0842a-69ca-4b75-9ae9-f9d16088f4f8 · outbound

This paper cites Relative quasimaps and mirror formulae.

The contraction morphism between maps and quasimaps to toric varieties Relative quasimaps and mirror formulae

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:54:48.500674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:54:47.936124Z digest=sha256:a6f3db38e0d055ab46b3a9abe47043b957213189d726dc7448f372d9d005d782

Observation 9cd1e838-f64c-47ee-a9c5-4d1a8ff116b2 · outbound

This paper cites Orbifold quasimap theory.

The contraction morphism between maps and quasimaps to toric varieties Orbifold quasimap theory

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:54:48.488548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:54:47.940235Z digest=sha256:4012645704c67c007236efd32d920de935a40ec022b300216561a925c7f57f20

Observation 939ba5fd-f5c2-4dc7-bdcf-afdb8bcbb637 · outbound

This paper cites Moduli stacks of stable toric quasimaps.

The contraction morphism between maps and quasimaps to toric varieties Moduli stacks of stable toric quasimaps

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-11T10:54:47.944198Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T10:54:47.944198Z digest=sha256:655edc5f5901f25a31b9b84c9c33287d6cc0ca92e438d95eca73ecfefc331f1e

Observation 444c263e-b03f-477a-ae87-6b2a62861124 · outbound

This paper cites Wall-crossing in genus zero quasimap theory and mirror maps.

The contraction morphism between maps and quasimaps to toric varieties Wall-crossing in genus zero quasimap theory and mirror maps

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:54:48.469501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:54:47.948795Z digest=sha256:26a83be99ef993e2122fe4c2b944e0b3a750ad0ff45ef087ff7975d669fa419f

Observation 5990750a-f701-4225-984d-1dfa0994dcf3 · outbound

This paper cites Big I -functions.

The contraction morphism between maps and quasimaps to toric varieties Big I -functions

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:54:48.457167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:54:47.953353Z digest=sha256:229245315ea1f773c80f98ce1e86439116669562e6fb0be2e86eaf35b872da1e

Observation f4a6ddc1-f69f-4538-a30a-37aca5b9bb1d · outbound

This paper cites Higher genus quasimap wall-crossing for semipositive targets.

The contraction morphism between maps and quasimaps to toric varieties Higher genus quasimap wall-crossing for semipositive targets

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:54:48.445017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:54:47.958953Z digest=sha256:9e929c7d463247dca80544cd463e052675da894ebc51a84b1030c23df6363598

Observation 469e1f93-952d-49d7-a30b-29665e3e569b · outbound

This paper cites Quasimap wall-crossings and mirror symmetry.

The contraction morphism between maps and quasimaps to toric varieties Quasimap wall-crossings and mirror symmetry

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-11T10:54:47.962655Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T10:54:47.962655Z digest=sha256:fff9652c136ac68c2a0f311d88d722e89e4d78c6077fbb14365bc147cfed0e0a

Observation 2205ccbf-5e84-4196-948f-58d438203436 · outbound

This paper cites Stable quasimaps to GIT quotients.

The contraction morphism between maps and quasimaps to toric varieties Stable quasimaps to GIT quotients

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-11T10:54:47.966455Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T10:54:47.966455Z digest=sha256:a0df64045372be395ada8b924be731995e8dd4dd9bfbdddf50124f5c2d7f2727

Observation 0791d0da-c46e-403e-af7e-f400cd0c37f6 · outbound

This paper cites Higher-genus wall-crossing in the gauged linear sigma model.

The contraction morphism between maps and quasimaps to toric varieties Higher-genus wall-crossing in the gauged linear sigma model

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:54:48.419531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:54:47.970060Z digest=sha256:72fb3e8ac7a91ce90d4025b8849d61b2529c5a2a748146342cdee8a26237f5f3

Observation 9d2853b7-0e43-444b-8b3f-92d4e4d3531c · outbound

This paper cites Cox, John B.

The contraction morphism between maps and quasimaps to toric varieties Cox, John B

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-11T10:54:47.973685Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T10:54:47.973685Z digest=sha256:1cdb747447fe4ee8ee20f58fe270cb2300d63c2d94c4fc9001ff5c4cc264d933

Observation 91fb909a-3032-4e5b-8ffc-898b3d00d4af · outbound

This paper cites The functor of a smooth toric variety.

The contraction morphism between maps and quasimaps to toric varieties The functor of a smooth toric variety

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:54:48.400753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:54:47.977348Z digest=sha256:ed10177808644b3ebb6862bc81555730516a989907550ac2562bdf09f314349f

Observation 42646059-acc7-4d00-b8e2-6857e33f3d7c · outbound

This paper cites Gromov- W itten and quasimap invariants of toric varieties - a geometric perspective.

The contraction morphism between maps and quasimaps to toric varieties Gromov- W itten and quasimap invariants of toric varieties - a geometric perspective

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:54:48.388676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:54:47.981153Z digest=sha256:271eb2932b6824987d13cb6346a0a0a5ce40f9eef995296b21c3a53c144b1ea8

Observation 5f642ef6-b53a-49f8-8e4e-0335713e1923 · outbound

This paper cites The local/logarithmic correspondence and the degeneration formula for quasimaps.

The contraction morphism between maps and quasimaps to toric varieties The local/logarithmic correspondence and the degeneration formula for quasimaps

Reference 14

Resolution
verified exact
raw_fallback, observed 2026-08-11T10:54:48.237890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:54:47.984787Z digest=sha256:c1bb3135569703f30d98824a730a9b3eadd5f7b02f7ea64777eb3e4de7c235ee

Observation b4085c9f-2973-48db-90c9-d24ce5180811 · outbound

This paper cites Mirror symmetry for stable quotients invariants.

The contraction morphism between maps and quasimaps to toric varieties Mirror symmetry for stable quotients invariants

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:54:48.376459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:54:47.988542Z digest=sha256:8aa32a10170f83dbfc51c30afa40484f33e1d0ae575e7408c204326293a618b8

Observation dafbf950-950c-4841-8e1a-eb6dd640f7c5 · outbound

This paper cites A mathematical theory of the gauged linear sigma model.

The contraction morphism between maps and quasimaps to toric varieties A mathematical theory of the gauged linear sigma model

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:54:48.364577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:54:47.992115Z digest=sha256:84c5b88e47f8d1773edcfdceeb298a1d1a8c5742e9cc51015ae27d8209013f43

Observation 1c781638-6005-4e90-b25c-504c01db1212 · outbound

This paper cites A Mirror Theorem for Toric Complete Intersections , pages 141--175.

The contraction morphism between maps and quasimaps to toric varieties A Mirror Theorem for Toric Complete Intersections , pages 141--175

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:54:48.352944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:54:47.995530Z digest=sha256:b158334c59b7e2c71d56a75ca6d323dbbfb4d641a5685640f1c6ba6078bd6bf1

Observation 39e452f6-eb42-4aa9-9939-114080bf754b · outbound

This paper cites Mirror theorem for elliptic quasimap invariants.

The contraction morphism between maps and quasimaps to toric varieties Mirror theorem for elliptic quasimap invariants

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:54:48.340734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:54:47.999217Z digest=sha256:63fce4acdef4aa84b96c0391f8eec876dee5be1d40e258eb00b4b95884e77eb3

Observation 5eb8ebea-fcc9-48a3-b48b-fb2ceab97523 · outbound

This paper cites Derived moduli of sections and push-forwards.

The contraction morphism between maps and quasimaps to toric varieties Derived moduli of sections and push-forwards

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-11T10:54:48.066177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:54:48.002889Z digest=sha256:f5693542de9beaf17457df4dea844de45c9f24c173d5a0bfed080fa1230f37e3

Observation adbd2b5b-e2ee-44cd-9659-b9a8465b2a5f · outbound

This paper cites Stable quotients and the holomorphic anomaly equation.

The contraction morphism between maps and quasimaps to toric varieties Stable quotients and the holomorphic anomaly equation

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:54:48.328761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:54:48.006721Z digest=sha256:8c2e6c7e1b07084ac9220d30dd611c8513081e8293d3f8e00ea406db28a81127

Observation 89ed4d22-cb2f-4458-a27c-5c87db302af7 · outbound

This paper cites Virtual push-forwards.

The contraction morphism between maps and quasimaps to toric varieties Virtual push-forwards

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:54:48.317076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:54:48.010372Z digest=sha256:ca1e295575676a462f38ae8b8f6ce033a8904454a3d096931122b033056fe3d0

Observation a135e123-2d8d-453e-b27c-d9c8c840fae2 · outbound

This paper cites Stable maps and stable quotients.

The contraction morphism between maps and quasimaps to toric varieties Stable maps and stable quotients

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:54:48.305636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:54:48.014124Z digest=sha256:d7c34b14d5fcbcfc3bb52d7fce677e7a43bc732884b9a85606fbd7f62aba75e7

Observation 6c156ab0-c9ad-4745-a594-c4bb4bec80d5 · outbound

This paper cites The moduli space of stable quotients.

The contraction morphism between maps and quasimaps to toric varieties The moduli space of stable quotients

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:54:48.293529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:54:48.017844Z digest=sha256:9696e2216102ac5caaec306685d56a58ce7b7f16c4bd390202a981e6b6105a14

Observation 0d7ea811-d9ab-4655-a61e-05e1ceeedf60 · outbound

This paper cites Stable maps and quot schemes.

The contraction morphism between maps and quasimaps to toric varieties Stable maps and quot schemes

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:54:48.281758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:54:48.021718Z digest=sha256:b6b2a5625d77908723e9e2f2af0bccd2487146c3395c1fb541174e39350b229b

Observation c03a9e9c-96cf-4551-b7a6-fccf823d298e · outbound

This paper cites The stacks project.

The contraction morphism between maps and quasimaps to toric varieties The stacks project

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-11T10:54:48.025363Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T10:54:48.025363Z digest=sha256:7cf82df0bafd7b441153b2b799b7648ef62dcdd6518c159c47c7599484a765f0

Observation ad48d3b3-e45c-4151-86a5-63562a56a267 · outbound

This paper cites Moduli spaces of stable quotients and wall-crossing phenomena.

The contraction morphism between maps and quasimaps to toric varieties Moduli spaces of stable quotients and wall-crossing phenomena

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:54:48.262861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-11T10:54:48.029029Z digest=sha256:ba1208f6a6d949f6648ac784ad90e51a133f1519d62229117ff4b52977b5f885

Pith citing papers

Observation bfaeed50-d714-4716-a345-86bf3e2f1dce · inbound

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 cites this paper.

Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0 The contraction morphism between maps and quasimaps to toric varieties

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-15T19:50:21.641219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-15T19:50:21.350846Z digest=sha256:137d569b24e8078766f868c07e0392f3d74c34d4b86b9ceb9e43faf0b370292d