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Paper Citation Record · LEDGER

Finite generation and holomorphic anomaly equation for equivariant Gromov-Witten invariants of $K_{\mathbb{P}^1\times\mathbb{P}^1}$

As of 16 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:1908.03691.

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

pith.paper-citation-record.v1
1908.03691 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:15:20.301019Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

15 of 15 outbound references displayed

  • verified exact2
  • verified fuzzy5
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c6d4d1ea-bd47-4de2-a390-a51a3de33874 · outbound

This paper cites Coates, A.

Finite generation and holomorphic anomaly equation for equivariant Gromov-Witten invariants of $K_{\mathbb{P}^1\times\mathbb{P}^1}$ Coates, A

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:20.572818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:20.231516Z digest=sha256:70d55343d2e463c39959de338bc73741992f18dae5f082cd383d49df39470f87

Observation ab88d5a7-303c-462a-860d-2076488a65b7 · outbound

This paper cites Coates and A.

Finite generation and holomorphic anomaly equation for equivariant Gromov-Witten invariants of $K_{\mathbb{P}^1\times\mathbb{P}^1}$ Coates and A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:20.556783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:20.236764Z digest=sha256:ff1fb6e3ebc1ec098f8770cc6f4333ee552cb94f72d7ccd378278a2319ff2824

Observation b110586e-9960-4be0-b16c-1f608ec35111 · outbound

This paper cites Gromov-Witten Invariants of Local P^2 and Modular Forms.

Finite generation and holomorphic anomaly equation for equivariant Gromov-Witten invariants of $K_{\mathbb{P}^1\times\mathbb{P}^1}$ Gromov-Witten Invariants of Local P^2 and Modular Forms

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-14T14:15:20.241249Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:15:20.241249Z digest=sha256:2ac01e2193608e2f57537733288e1c3d900996d7b6d43bda4e311b615841b755

Observation 1e2c2711-e0d7-41f6-aded-980cbd3e63cc · outbound

This paper cites an unresolved cited work.

Finite generation and holomorphic anomaly equation for equivariant Gromov-Witten invariants of $K_{\mathbb{P}^1\times\mathbb{P}^1}$ Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:20.542859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:20.246280Z digest=sha256:e8390fa4b4b3a2cec001f8f182905f9d1c3a10edfcaa679d0b4ff2a614c4e304

Observation b1ee3667-a23d-4414-b1cd-394b8b3b9418 · outbound

This paper cites an unresolved cited work.

Finite generation and holomorphic anomaly equation for equivariant Gromov-Witten invariants of $K_{\mathbb{P}^1\times\mathbb{P}^1}$ Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:20.529793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:20.253393Z digest=sha256:8847a23da10407aa3b4ee094a131bfa1f10eff33f2d807409f7cf0ec9d8fd5b0

Observation b5e09571-ebb9-4243-98a2-29d57ff3dfd5 · outbound

This paper cites an unresolved cited work.

Finite generation and holomorphic anomaly equation for equivariant Gromov-Witten invariants of $K_{\mathbb{P}^1\times\mathbb{P}^1}$ Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:20.512015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:20.257961Z digest=sha256:1322e7b38242a938bfd5a82e5a12aa4483bd042f3df0477bc557b481a3e28059

Observation e77c86d7-b525-47f6-aa87-440c75d347b3 · outbound

This paper cites an unresolved cited work.

Finite generation and holomorphic anomaly equation for equivariant Gromov-Witten invariants of $K_{\mathbb{P}^1\times\mathbb{P}^1}$ Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:20.491921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:20.262339Z digest=sha256:76f3a64263b45944f9727701cd8bc6c932714f48f152beca9d0f49071ff31d57

Observation 373bc98d-6ebe-4ca6-a78f-4dad5297a289 · outbound

This paper cites Structure of Higher Genus Gromov-Witten Invariants of Quintic 3-folds.

Finite generation and holomorphic anomaly equation for equivariant Gromov-Witten invariants of $K_{\mathbb{P}^1\times\mathbb{P}^1}$ Structure of Higher Genus Gromov-Witten Invariants of Quintic 3-folds

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-14T14:15:20.267377Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:15:20.267377Z digest=sha256:98a4d04ac5a16ec7f6d8582849c50b87248d368d3678d5b11fde06d448e3e780

Observation e1e3897d-b487-4c0b-8448-ea33ef0b6f33 · outbound

This paper cites an unresolved cited work.

Finite generation and holomorphic anomaly equation for equivariant Gromov-Witten invariants of $K_{\mathbb{P}^1\times\mathbb{P}^1}$ Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:20.478171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:20.272323Z digest=sha256:4eee76dcc028b78396e96ebf778595ce3c5fe63fed2713ed9c2d9954624178bd

Observation 674c71b6-0618-485f-81b8-d6703e5c90b3 · outbound

This paper cites Gromov-Witten invariants of Calabi-Yau fibrations.

Finite generation and holomorphic anomaly equation for equivariant Gromov-Witten invariants of $K_{\mathbb{P}^1\times\mathbb{P}^1}$ Gromov-Witten invariants of Calabi-Yau fibrations

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:15:20.366922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:20.276895Z digest=sha256:4f78dce364b86eef253946948198f26c460e2b9fb2ae1e62933f073a8605dbbe

Observation 4e7e3e29-435e-46fa-8c73-92f4b41c999d · outbound

This paper cites Lho and R.

Finite generation and holomorphic anomaly equation for equivariant Gromov-Witten invariants of $K_{\mathbb{P}^1\times\mathbb{P}^1}$ Lho and R

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:20.463530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:20.281467Z digest=sha256:2aff34d89b5373aec1d1e5cb5c2bbbec7241d931edc649955d66c740bae3f5e7

Observation 76945744-ae65-4c38-9d3e-c3acaeb91bff · outbound

This paper cites Li and G.

Finite generation and holomorphic anomaly equation for equivariant Gromov-Witten invariants of $K_{\mathbb{P}^1\times\mathbb{P}^1}$ Li and G

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:20.449287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:20.286418Z digest=sha256:31ba9e334e663ae8c0c0fd2b93e593ca98375947467c291d8cb149d5a021cddd

Observation 1c97b431-709e-4ab5-a2f3-0d90e0b1881c · outbound

This paper cites Pandharipande, A.

Finite generation and holomorphic anomaly equation for equivariant Gromov-Witten invariants of $K_{\mathbb{P}^1\times\mathbb{P}^1}$ Pandharipande, A

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:20.435709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:20.292405Z digest=sha256:caecf5ce6974d7351c36bda62b7073e67f3496500140ab40c88fd43aa30a9b99

Observation 795fd3e6-2a38-4468-9dde-322e4b0ee92f · outbound

This paper cites an unresolved cited work.

Finite generation and holomorphic anomaly equation for equivariant Gromov-Witten invariants of $K_{\mathbb{P}^1\times\mathbb{P}^1}$ Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:20.422077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:20.296693Z digest=sha256:bcae201469201dc5363c2938032bbf85d730751a5b2baa6a9e9cee85a9e51a6a

Observation 6a47247d-7a31-481f-a45e-04648a283e6e · outbound

This paper cites Quasi-modularity and holomorphic anomaly equation for the twisted Gromov-Witten theory: $\mathcal{O}(3)$ over $\mathbb{P}^2$.

Finite generation and holomorphic anomaly equation for equivariant Gromov-Witten invariants of $K_{\mathbb{P}^1\times\mathbb{P}^1}$ Quasi-modularity and holomorphic anomaly equation for the twisted Gromov-Witten theory: $\mathcal{O}(3)$ over $\mathbb{P}^2$

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:15:20.346089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:20.301019Z digest=sha256:8e15f886d9332cdb627dc351f33473a586d47a534cd66d305eaf3252e88d0cdf

Pith citing papers

No inbound Pith citation observations are available.