Paper Citation Record · LEDGER

The quantum D-module of product varieties

As of 21 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2509.07407.

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

pith.paper-citation-record.v1
2509.07407 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T22:26:42.537039Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

16 of 16 outbound references displayed

verified exact3
verified fuzzy10
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fd7f5bfe-de4c-4163-ac43-8bd88ad39a69 · outbound

This paper cites an unresolved cited work.

The quantum D-module of product varieties Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-04T22:26:42.736456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a07c24c5-c0c1-44b5-8e37-6cbc942b2e2a · outbound

This paper cites Behrend,The product formula for Gromov-Witten invariants, arXiv preprint alg- geom/9710014 (1997).

The quantum D-module of product varieties Behrend,The product formula for Gromov-Witten invariants, arXiv preprint alg- geom/9710014 (1997)

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-08-04T22:26:42.631166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 19883e7c-9697-4c77-8a85-ad9d52e5d450 · outbound

This paper cites Behrend and B.

The quantum D-module of product varieties Behrend and B

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:26:42.726312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1ebdf6b1-3147-4a8c-9102-ba99570457a8 · outbound

This paper cites Behrend and Y.

The quantum D-module of product varieties Behrend and Y

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:26:42.716602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4b5679da-cc65-47ca-b976-fb3998eee540 · outbound

This paper cites Bittner,The universal Euler characteristic for varieties of characteristic zero, Compositio Mathematica140(2004), no.

The quantum D-module of product varieties Bittner,The universal Euler characteristic for varieties of characteristic zero, Compositio Mathematica140(2004), no

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:26:42.706483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3e11e498-176d-41f3-a728-a68832490317 · outbound

This paper cites Crauder and R.

The quantum D-module of product varieties Crauder and R

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:26:42.696799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b20f7d2c-3ec2-4db9-b5b3-7abd745106b1 · outbound

This paper cites Dubrovin,Geometry of 2D topological field theories, Integrable systems and quantum groups, Springer, 1996, pp.

The quantum D-module of product varieties Dubrovin,Geometry of 2D topological field theories, Integrable systems and quantum groups, Springer, 1996, pp

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:26:42.687463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c35f5b13-a7ea-430e-8030-bf997f422442 · outbound

This paper cites II, ICM, 1998, math.AG/9807034, p.

The quantum D-module of product varieties II, ICM, 1998, math.AG/9807034, p

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-08-04T22:26:42.618202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8055b285-15cb-4037-ba40-99b52821888f · outbound

This paper cites Gyenge and Sz.

The quantum D-module of product varieties Gyenge and Sz

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:26:42.678304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 81afa357-82b0-4fb3-8b61-c1ca048f26d4 · outbound

This paper cites Quantum cohomology of blowups.

The quantum D-module of product varieties Quantum cohomology of blowups

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T22:26:41.994121Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d81d24b-82d0-494d-a4ab-0cdf952002a0 · outbound

This paper cites Katzarkov, M.

The quantum D-module of product varieties Katzarkov, M

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T22:26:42.124513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 79a04919-5c79-495b-a6b9-f65f664c218d · outbound

This paper cites Kock and I.

The quantum D-module of product varieties Kock and I

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:26:42.669432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e091dcc2-bb11-4188-9372-0a5a09a22ad8 · outbound

This paper cites Kontevich and Sz.

The quantum D-module of product varieties Kontevich and Sz

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:26:42.659806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fceef690-7866-40ff-a036-a8494722fd16 · outbound

This paper cites Kontsevich and Y.

The quantum D-module of product varieties Kontsevich and Y

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:26:42.650167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a5921cb8-ddba-4a26-b70e-b7abad387728 · outbound

This paper cites Lee, H.-W.

The quantum D-module of product varieties Lee, H.-W

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T22:26:42.640194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation dd006335-8ce4-4000-9f26-3a017e3feb3b · outbound

This paper cites Motivic measures.

The quantum D-module of product varieties Motivic measures

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-04T22:26:42.587272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.