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Paper Citation Record · LEDGER

The contraction morphism between maps and quasimaps to toric varieties

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.

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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T10:54:47.936124Z digest=sha256:6f3e1f12cb196f81f8e0d8a63dd9e1766d1fb3eb78eeb279b29a9d549ae5a6f2

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T10:54:47.940235Z digest=sha256:77d623c7705b06492d0152ff746a434819fe27f3831d22c61c720549855100b0

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T10:54:47.948795Z digest=sha256:2e46e0e2e7677ec342b97d65d5a4d4f80bf96fac088a0416817fa41fa4976c64

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T10:54:47.953353Z digest=sha256:f6afbacc281b9e443e9b5b724f13858b2234e858ede15e62c98b06f8bd92059c

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T10:54:47.958953Z digest=sha256:2a077fc459d373bf4c50f90de765fdfee84f6ca3fd9a912ef73c6b33185184b5

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T10:54:47.970060Z digest=sha256:e2e464f4a81e3a32724ecab916e3e39ec7edfabe4ce3b156c5dfd42cb3990f92

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T10:54:47.977348Z digest=sha256:bfd2d5ffc668331633f0e640c8f877b47c28025ebe855d8240ff865f47a1c380

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T10:54:47.981153Z digest=sha256:85c6e9901be4c4248754b00b839809f1a5f6678d07604ca63a9ce9d5966540e6

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T10:54:47.984787Z digest=sha256:b62098daf003ad591de501fe52ea084d6a9fe7acd5257e18b8a9de6a7727f29e

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T10:54:47.988542Z digest=sha256:3782449d714ceb63d9401ff49fcffd7f0c57c9462c426e9493196f1b715d5f9d

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T10:54:47.992115Z digest=sha256:663ae141d810e5d17da73f4d61c5cf849e52dd804c538dc682ef7ebfb587238b

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T10:54:47.995530Z digest=sha256:0beff27224cc71dc05ae923de3b8e4d4c58fad4411928413e578cc03ca5f7f0e

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T10:54:47.999217Z digest=sha256:ffe82ada520feda1447d29cb05c6df92edf2d8641c4c4ad3c66c82583c536bef

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T10:54:48.002889Z digest=sha256:3c9e7fb5e5ae7f851855f2fc5f4c687d3f36201f7e58caa9361c8f143db3e003

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T10:54:48.006721Z digest=sha256:c52667379cb73046561fc9ef9b077ab9bd6464577fa748b2d65ebb7b73e7cc9b

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T10:54:48.010372Z digest=sha256:efebb248eb1894d470604299a5222fc68d888e6fafdc6cf2118aeac6b4bb0b55

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T10:54:48.014124Z digest=sha256:aa0c704b529b1f3987ae881b354b80f1ed17e8974b55ae35547ab6616765bbee

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T10:54:48.017844Z digest=sha256:7d7b03eabe56f8e19fb725ae2ec1a56d5b915581ee849eb7a16d6746ca0f649b

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T10:54:48.021718Z digest=sha256:9a91b478605b21ad775701836f7aa4f91889468cac0ab56ef52a2fff121ae75f

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T10:54:48.029029Z digest=sha256:9b85390f6a569bce233f7a08b5c4c30be0739eefae7825584da864fc82b40698

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T19:50:21.350846Z digest=sha256:cda2b06effbfe75ee61e912625f025120852802a2e4538552e7a890c1ecf30b4