Paper Citation Record · LEDGER

Origami: real structure, enumeration and quantum modularity

As of 9 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2502.06548.

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

pith.paper-citation-record.v1
2502.06548 v2

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T15:15:42.225717Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

32 of 32 outbound references displayed

verified exact0
verified fuzzy26
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cffb9aa0-40e4-4097-bd4b-0237ad456409 · outbound

This paper cites an unresolved cited work.

Origami: real structure, enumeration and quantum modularity Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-08T15:15:42.780836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 13826795-cdbb-46b0-8438-3ee610e07823 · outbound

This paper cites 5 (2024) p.

Origami: real structure, enumeration and quantum modularity 5 (2024) p

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:42.763316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 89ed9d97-b98f-435a-b3ff-50f3312a5697 · outbound

This paper cites Chapuy and M.

Origami: real structure, enumeration and quantum modularity Chapuy and M

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:42.747754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4aecc4ad-00d9-41a4-9578-4114b56b0546 · outbound

This paper cites Borot, S.

Origami: real structure, enumeration and quantum modularity Borot, S

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:42.731084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4e6408de-1831-44d5-b0ab-9a4ffa9ab46b · outbound

This paper cites Cavalieri, E.

Origami: real structure, enumeration and quantum modularity Cavalieri, E

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:42.714488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 17e51d10-d8ff-4643-8c57-cb8fa654be91 · outbound

This paper cites Aritmética, Grupos y Análisis (AGRA) IV.

Origami: real structure, enumeration and quantum modularity Aritmética, Grupos y Análisis (AGRA) IV

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:42.696551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cc1e0a8d-5a5e-44d4-8b43-c2e31edb2efa · outbound

This paper cites In: Dijkgraaf, R., Faber, C., van der Geer, G.

Origami: real structure, enumeration and quantum modularity In: Dijkgraaf, R., Faber, C., van der Geer, G

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:42.678177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 957b6ff0-3dc4-4f25-aadb-e985ad46ee52 · outbound

This paper cites Dudina, Enumeration of Origami Curves, Graduation thesis, HSE University, under super- vision of S.

Origami: real structure, enumeration and quantum modularity Dudina, Enumeration of Origami Curves, Graduation thesis, HSE University, under super- vision of S

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:42.660283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ff495f0e-4a1d-47b0-b0e3-ac075f6451a3 · outbound

This paper cites Eskin, A.

Origami: real structure, enumeration and quantum modularity Eskin, A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:42.643318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2264b983-5e4c-4d0b-94c2-3acac9c69147 · outbound

This paper cites Goujard, M.

Origami: real structure, enumeration and quantum modularity Goujard, M

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:42.625843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation aac34c0c-9771-4efc-8319-18e751618e7d · outbound

This paper cites Goulden and D.M.

Origami: real structure, enumeration and quantum modularity Goulden and D.M

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:42.609628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ef0c0824-bcc0-41e3-851a-8f23e4c24678 · outbound

This paper cites an unresolved cited work.

Origami: real structure, enumeration and quantum modularity Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-08T15:15:42.122542Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8281534-af71-4641-bb70-6390f5a68b21 · outbound

This paper cites Anas Hahn, J.W.

Origami: real structure, enumeration and quantum modularity Anas Hahn, J.W

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:42.583027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 17241b9f-8c2a-47cf-8293-9390900d433d · outbound

This paper cites Tropical twisted Hurwitz numbers for elliptic curves.

Origami: real structure, enumeration and quantum modularity Tropical twisted Hurwitz numbers for elliptic curves

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-08T15:15:42.132118Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de34f15e-3393-4005-b14b-63d7571a0f68 · outbound

This paper cites an unresolved cited work.

Origami: real structure, enumeration and quantum modularity Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-08T15:15:42.566162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 65078b78-6479-4b63-9f4c-a23f30c4e620 · outbound

This paper cites Kac and J.

Origami: real structure, enumeration and quantum modularity Kac and J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:42.549460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 473c8e59-1e9e-4f44-9a1d-a56bf441f711 · outbound

This paper cites Hardy, E.

Origami: real structure, enumeration and quantum modularity Hardy, E

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:42.533357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d1ff4388-9f74-40f9-ac7d-dfd5558bd62b · outbound

This paper cites In: Dijkgraaf, R., Faber, C., van der Geer, G.

Origami: real structure, enumeration and quantum modularity In: Dijkgraaf, R., Faber, C., van der Geer, G

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:42.517010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 405e4a4c-74b0-4ded-9f4e-963c344685b7 · outbound

This paper cites Kerov and G.

Origami: real structure, enumeration and quantum modularity Kerov and G

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:42.499695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 31be8f20-bed9-4572-be6c-f5c874d88b29 · outbound

This paper cites Kremer, Invariants of complex and p-adic origami curves, KIT-Bibliothek, Karlsruhe, 2009.

Origami: real structure, enumeration and quantum modularity Kremer, Invariants of complex and p-adic origami curves, KIT-Bibliothek, Karlsruhe, 2009

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:42.482583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c8909645-9a2d-4aa5-8413-987b9196df62 · outbound

This paper cites Lassalle.

Origami: real structure, enumeration and quantum modularity Lassalle

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:42.467089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 02c6d537-05d4-42f4-bad9-803554f33ce8 · outbound

This paper cites Lando and A.

Origami: real structure, enumeration and quantum modularity Lando and A

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:42.451269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1c24faba-f877-400f-9b90-04f3f95d82f4 · outbound

This paper cites an unresolved cited work.

Origami: real structure, enumeration and quantum modularity Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-08T15:15:42.435754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 651a70fd-8111-47c7-a4c0-c75aaa792beb · outbound

This paper cites Jucys–Murphy elements, orthogonal matrix integrals, and Jack measures.

Origami: real structure, enumeration and quantum modularity Jucys–Murphy elements, orthogonal matrix integrals, and Jack measures

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:42.419108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c779659e-e3f4-4601-8b8e-60aba028aaa5 · outbound

This paper cites Natanzon, A.

Origami: real structure, enumeration and quantum modularity Natanzon, A

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:42.403091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 537df252-8dfd-443e-aed3-4cdbd0a97c1a · outbound

This paper cites Toda equations for Hurwitz numbers,Math.

Origami: real structure, enumeration and quantum modularity Toda equations for Hurwitz numbers,Math

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:42.389031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation efa4de03-8fdf-4f79-93aa-0330b4a4f371 · outbound

This paper cites Stanley Enumerative combinatorics.

Origami: real structure, enumeration and quantum modularity Stanley Enumerative combinatorics

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:42.372338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation aa2c338e-ad0e-43f6-bbce-09572ea0a038 · outbound

This paper cites Zagier, Elliptic modular forms and their applications, in: The 1-2-3 of modular forms, Universitext, Springer, Berlin, 2008, p.

Origami: real structure, enumeration and quantum modularity Zagier, Elliptic modular forms and their applications, in: The 1-2-3 of modular forms, Universitext, Springer, Berlin, 2008, p

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:42.352826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 268a6c86-8bc1-416b-bd89-eadc24cf20d8 · outbound

This paper cites Zagier, Quantum modular forms.

Origami: real structure, enumeration and quantum modularity Zagier, Quantum modular forms

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:42.335298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d7e1a047-e0d6-49eb-b91c-87e9b6c43410 · outbound

This paper cites Jucys–Murphy Elements and Weingarten Matrices.

Origami: real structure, enumeration and quantum modularity Jucys–Murphy Elements and Weingarten Matrices

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:42.317659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5502a269-f0e5-466b-a054-834d50c9b3b1 · outbound

This paper cites an unresolved cited work.

Origami: real structure, enumeration and quantum modularity Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-08T15:15:42.300575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 50785665-bc13-400a-8b1c-828c539292d1 · outbound

This paper cites Zorich, Geometry and dynamics in moduli spaces, Lecture notes of a course at Université Paris Diderot (2023) Appendix A The first 13 polynomialsPn for real origami count.

Origami: real structure, enumeration and quantum modularity Zorich, Geometry and dynamics in moduli spaces, Lecture notes of a course at Université Paris Diderot (2023) Appendix A The first 13 polynomialsPn for real origami count

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T15:15:42.283458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

No inbound Pith citation observations are available.