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Paper Citation Record · LEDGER

Origami: real structure, enumeration and quantum modularity

As of 17 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 2026-08-17T06:30:58.91139+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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T15:15:42.071343Z digest=sha256:6fb97ec0437238184993de21d5a831281be2b54b37b0855b4e07113d84da6b77

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T15:15:42.077812Z digest=sha256:bafb89cf59730c73f50dc1497294a88e3c14a0aa59116bd2ffcae055a4b4ab69

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

This paper cites Borot, S.

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

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T15:15:42.082545Z digest=sha256:935eb8a72d4ebfeb045bfbc471c79e95eb92afd42d56d497288c9dd21c1f4567

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

This paper cites Cavalieri, E.

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

Reference 5

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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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T15:15:42.087639Z digest=sha256:4af76e05c9d43f65053514fe45e0d9b1bbb4e9d5e67fbe095a3f3a74039a2de4

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

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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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T15:15:42.092495Z digest=sha256:5315d3c7778048940d82520cc9eae325f70f00cc5a3a862008bebf93a9066d36

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

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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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T15:15:42.097318Z digest=sha256:015fb75fcd1f12675c9a60c094361b43eba39ea3ca695439636cba0b76157a01

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

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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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T15:15:42.102631Z digest=sha256:0e67be451d041cf918aea2be382dd55b706cd436051a9dea5b25ba2d6938efd3

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

This paper cites Eskin, A.

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

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T15:15:42.107646Z digest=sha256:23672a85d3431ae309aa73c52af1fe2a3100adf780cd58b4283d872b2d70a7ae

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

This paper cites Goujard, M.

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

Reference 10

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T15:15:42.112920Z digest=sha256:65e15a91441e0f49b2436ff714b8c10ade496c072fae2ff1b5b4133848190e8a

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T15:15:42.117956Z digest=sha256:1048c760c9801745f477ad177b37f396a8fa209e13bee69aedcab2dca5c623a8

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

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T15:15:42.122542Z digest=sha256:5bee972814edb16d448f396a40edf42e7d7e056bab5ee9163bb9b273e4fabc2c

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T15:15:42.127482Z digest=sha256:7435043786c8af98612b1d398cdafe783f40f67910dc59f3d2f0ac7638c17596

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T15:15:42.132118Z digest=sha256:a66cd694617d4cfa6a86e02de2b03a0aabc010ea63c977211093e2d7e32c4290

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

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T15:15:42.143004Z digest=sha256:eccc871dceb40d8bc1cb1486ea9c32bd847e15c93f4779ebd6f2e065df45c83d

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

This paper cites Hardy, E.

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

Reference 17

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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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T15:15:42.148196Z digest=sha256:e25659f5c3d6b283b018be759f45fbdc7bbc342cb122bf08b31d9661207fd334

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
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raw_fallback, observed 2026-08-08T15:15:42.517010Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T15:15:42.153193Z digest=sha256:b9068c1766147000dc2695332e84d5f4883b0737722051748cd340626b463aef

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

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T15:15:42.158618Z digest=sha256:f20a3f3f32f65bf5f07e32466537cf1bb8af65a95860868e42f0ada762e16466

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

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T15:15:42.163637Z digest=sha256:3583fbada53131f91bcf8f4b2374e150ad8bb3dbdbc9e47d00bbd476ad6129b9

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

This paper cites Lassalle.

Origami: real structure, enumeration and quantum modularity Lassalle

Reference 21

Resolution
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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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T15:15:42.169546Z digest=sha256:5b2f3af88147d1563fb3033442d6db8b605ba9029e4aecc646dd95b9c6dca231

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T15:15:42.178956Z digest=sha256:5ce9179295dfe2bd5f0223a3eae8f799b221f7d018184f8bc586c81736477f6c

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

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raw_fallback, observed 2026-08-08T15:15:42.419108Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T15:15:42.184258Z digest=sha256:bc68579180daa14bef5a770709da9b2a4946b00b81790d2e8c1b13f2042b6b74

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

This paper cites Natanzon, A.

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

Reference 25

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

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T15:15:42.189261Z digest=sha256:63044c81b5f0459972dd4d275d6269bcb8328ad6cbb93bc9eb2d71c6b837ce70

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
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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T15:15:42.194821Z digest=sha256:ceadaeb7b698eb8b9e23a512a336d5e064bf71f9e0329324fa87c3b04f4deb4a

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

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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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T15:15:42.199972Z digest=sha256:24b3ce7a122d951ae19923343119c2325733a32bf7d7af74082a3577936ce9be

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

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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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T15:15:42.205234Z digest=sha256:5e1324fe90b3fe88b3a1a364587e146312dc261331814732df47d3f1a5536935

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
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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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T15:15:42.210653Z digest=sha256:64dc4b4e3352e9e2b0cbd68eb38dd7a70c7e13ee486e9f095d5482450135c863

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
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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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T15:15:42.215944Z digest=sha256:12c37152885568e996b9cbdbc43cd8f1ac1383d8d4e190935f2e9c180665d5f7

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
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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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T15:15:42.220780Z digest=sha256:25486873fe2eefbe2bb015a036bebd8bf1c04267164a4e753686b411b3fa16b8

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

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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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-08T15:15:42.225717Z digest=sha256:0ef3831408eaf1e9946f95304eda8d5f8c0182571d33d97c09578b7ae629fe8b

Pith citing papers

No inbound Pith citation observations are available.