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Paper Citation Record · LEDGER

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture

As of 17 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:1909.02302.

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

pith.paper-citation-record.v1
1909.02302 v3

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:01:52.477138Z

measured 30 of 30 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

30 of 30 outbound references displayed

  • verified exact2
  • verified fuzzy24
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 94c58062-3199-4946-a1bd-cdad9c8342c1 · outbound

This paper cites Weighted H urwitz numbers and topological recursion: an overview.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture Weighted H urwitz numbers and topological recursion: an overview

Reference 1

Resolution
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raw_fallback, observed 2026-08-14T05:01:52.865970Z

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=arxiv_source observed=2026-08-14T05:01:52.356806Z digest=sha256:68bde54311d86978f4e55788dd309ae1dda1d22e1b0a433b82bc73b1d5dc5c23

Observation a04a6abd-cc34-48e5-b054-c6802f1b4119 · outbound

This paper cites Matrix models for random partitions.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture Matrix models for random partitions

Reference 2

Resolution
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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=arxiv_source observed=2026-08-14T05:01:52.361327Z digest=sha256:8e023f793ede93b7aab7d98972033f33991f1f2fe42bef6683ce36a912bcfdfc

Observation 9ab837a7-fffe-40f0-9e5d-793578b38fb0 · outbound

This paper cites Ramifications of Hurwitz theory, KP integrability and quantum curves.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture Ramifications of Hurwitz theory, KP integrability and quantum curves

Reference 3

Resolution
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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=arxiv_source observed=2026-08-14T05:01:52.365848Z digest=sha256:df4b3d818d0fe86f2eaafe2febd89b3252a70464ae4ba66068032c2214fdd46a

Observation ad0a7006-ab08-4416-9b8a-9ca176c4e499 · outbound

This paper cites Abstract loop equations, topological recursion and new applications.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture Abstract loop equations, topological recursion and new applications

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=arxiv_source observed=2026-08-14T05:01:52.370121Z digest=sha256:d02fc37737094249b3a2e4946aa3e50c8d8af7761137000139cdba170312d42d

Observation ae6de226-2c2f-4373-8416-c6198ee450f9 · outbound

This paper cites Special cases of the orbifold version of Zvonkine's $r$-ELSV formula.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture Special cases of the orbifold version of Zvonkine's $r$-ELSV formula

Reference 5

Resolution
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local_arxiv, observed 2026-08-14T05:01:52.530985Z

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=arxiv_source observed=2026-08-14T05:01:52.374798Z digest=sha256:c56df8bf3f8038f3362299e0b6566d31fc46ed8f2e55e34169009d8f00056bf1

Observation 12e772df-6748-4fe4-ad00-d1e5b3600efb · outbound

This paper cites Remodeling the B -model.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture Remodeling the B -model

Reference 6

Resolution
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raw_fallback, observed 2026-08-14T05:01:52.821940Z

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=arxiv_source observed=2026-08-14T05:01:52.379808Z digest=sha256:64137f4aeed96c2f1ae95b456ec292115250c948aacc1d8acaebb87744386abc

Observation 39dd888a-443a-4bcf-bbda-0f95ed266f6c · outbound

This paper cites Blobbed topological recursion: properties and applications.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture Blobbed topological recursion: properties and applications

Reference 7

Resolution
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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=arxiv_source observed=2026-08-14T05:01:52.384011Z digest=sha256:22612fc514c26eed10b3a576c7e0006a71578af5bdfbe12f56f46d24e718e4b4

Observation 6d418625-c20a-4b32-a3cf-27559bb58fe0 · outbound

This paper cites Hermitian matrix model free energy: F eynman graph technique for all genera.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture Hermitian matrix model free energy: F eynman graph technique for all genera

Reference 8

Resolution
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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=arxiv_source observed=2026-08-14T05:01:52.387685Z digest=sha256:c083a0618c710e0dc856be35922043248985795ab432f26166c981e02da147db

Observation f80fe1dc-3697-48f8-af6b-235c0d9c50b8 · outbound

This paper cites an unresolved cited work.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture Unresolved cited work

Reference 9

Resolution
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raw_fallback, observed 2026-08-14T05:01:52.788692Z

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=arxiv_source observed=2026-08-14T05:01:52.391541Z digest=sha256:b86dc7e04d355369572284a7790909c1149d4bbb89a4bb789e9f05712df2bcf5

Observation c524f0b6-6fbe-4296-908e-0688f3c4c357 · outbound

This paper cites Monotone orbifold H urwitz numbers.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture Monotone orbifold H urwitz numbers

Reference 10

Resolution
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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=arxiv_source observed=2026-08-14T05:01:52.395994Z digest=sha256:4a9b07955d88f0db509b4cca37828fdfec2ec3867657a162211195c39da69c36

Observation 97525c20-9aa0-4c76-8143-7264bf80d21e · outbound

This paper cites Cut-and-join equation for monotone H urwitz numbers revisited.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture Cut-and-join equation for monotone H urwitz numbers revisited

Reference 11

Resolution
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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=arxiv_source observed=2026-08-14T05:01:52.400829Z digest=sha256:af5c3eb630ca382f2013cfa8cac2b29630da679f934fbbdc18c07abc175677e3

Observation 59e76230-d4bb-45c2-8332-3dede03a63c6 · outbound

This paper cites Loop equations and a proof of Zvonkine's $qr$-ELSV formula.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture Loop equations and a proof of Zvonkine's $qr$-ELSV formula

Reference 12

Resolution
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local_arxiv, observed 2026-08-14T05:01:52.514743Z

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=arxiv_source observed=2026-08-14T05:01:52.405147Z digest=sha256:6bf6203fac7232e027ecf43d705f16c1da919175d4e07feeee662af57aae205e

Observation 0581a570-261b-49ee-bc00-f9f4ac763876 · outbound

This paper cites Polynomiality of orbifold Hurwitz numbers, spectral curve, and a new proof of the Johnson-Pandharipande-Tseng formula.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture Polynomiality of orbifold Hurwitz numbers, spectral curve, and a new proof of the Johnson-Pandharipande-Tseng formula

Reference 13

Resolution
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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=arxiv_source observed=2026-08-14T05:01:52.411065Z digest=sha256:3b7e38e30087fad179a67a8571c7c4fb0006011b10ab0233b948cb5984912698

Observation 5f3f0d4c-009d-4456-96c4-d318c5617f1e · outbound

This paper cites Identification of the G ivental formula with the spectral curve topological recursion procedure.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture Identification of the G ivental formula with the spectral curve topological recursion procedure

Reference 14

Resolution
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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=arxiv_source observed=2026-08-14T05:01:52.414668Z digest=sha256:37701fc9834ef82a4729ee8277757a3079d216d97f65f870f7fbf41e219bc87c

Observation 1f2373bc-6464-4aab-90a6-3704930c005e · outbound

This paper cites Invariants of algebraic curves and topological expansion.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture Invariants of algebraic curves and topological expansion

Reference 15

Resolution
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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=arxiv_source observed=2026-08-14T05:01:52.418317Z digest=sha256:5aa6e3908b12f4e3a52a65db7fd6384a9315310cc7e79098c6972de958ec0bbc

Observation 643c6f1b-8779-4162-aadb-03d6a163c6db · outbound

This paper cites Invariants of spectral curves and intersection theory of moduli spaces of complex curves.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture Invariants of spectral curves and intersection theory of moduli spaces of complex curves

Reference 16

Resolution
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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=arxiv_source observed=2026-08-14T05:01:52.422325Z digest=sha256:38c17ade0567abdeac4dd164b29936baef644b929fd8c66811029469cfc3c2a1

Observation 07f0a3e4-f8c5-4ba4-a8b1-b47be73c1c37 · outbound

This paper cites Counting surfaces , volume 70 of Progress in Mathematical Physics.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture Counting surfaces , volume 70 of Progress in Mathematical Physics

Reference 17

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

source=arxiv_source observed=2026-08-14T05:01:52.426024Z digest=sha256:6a2073f9a1b4d0e57e5cdf114edee10377855171707efc8bf2f382e8ca616129

Observation 7302cb1f-e031-4a9f-a66a-bcdad5041d64 · outbound

This paper cites Goulden, Mathieu Guay-Paquet , and Jonathan Novak.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture Goulden, Mathieu Guay-Paquet , and Jonathan Novak

Reference 18

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

source=arxiv_source observed=2026-08-14T05:01:52.429858Z digest=sha256:07eca373a5d13b31bedcd3e4d51c209af018826eac49b545cbb36ecb8a19ec2a

Observation 31a12ae8-7471-4666-b7a4-e10d098351e2 · outbound

This paper cites Goulden, Mathieu Guay-Paquet , and Jonathan Novak.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture Goulden, Mathieu Guay-Paquet , and Jonathan Novak

Reference 19

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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=arxiv_source observed=2026-08-14T05:01:52.433742Z digest=sha256:72c489081a75fbbc59c8e78bb7e87d667892be6aec01bd4e38caaca5be5d65da

Observation 4ca4f5cc-9a1e-4d3a-9f05-590e1b5764ba · outbound

This paper cites Goulden, Mathieu Guay-Paquet , and Jonathan Novak.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture Goulden, Mathieu Guay-Paquet , and Jonathan Novak

Reference 20

Resolution
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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=arxiv_source observed=2026-08-14T05:01:52.437460Z digest=sha256:a24cdbb7b588a1024eadf74f2c962a95e12905990cbc3d7f550ae5e2d03a0907

Observation 615c91da-71cb-4469-bc64-df042bc87aad · outbound

This paper cites 2 D T oda -functions as combinatorial generating functions.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture 2 D T oda -functions as combinatorial generating functions

Reference 21

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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=arxiv_source observed=2026-08-14T05:01:52.441407Z digest=sha256:826c9489c061cb249b987d1d8c612177725f4cd239ccac64236e85c59562e22d

Observation af99ecaf-3320-4399-9f32-831dd178bdaf · outbound

This paper cites A monodromy graph approach to the piecewise polynomiality of simple, monotone and G rothendieck dessins d'enfants double H urwitz numbers.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture A monodromy graph approach to the piecewise polynomiality of simple, monotone and G rothendieck dessins d'enfants double H urwitz numbers

Reference 22

Resolution
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raw_fallback, observed 2026-08-14T05:01:52.643524Z

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=arxiv_source observed=2026-08-14T05:01:52.445109Z digest=sha256:ade58f644347676fafed7f44f8328f89f36bf638108db98bbabb3f7092bb97e9

Observation 7bbf8987-3354-4721-8bd6-b52aef530124 · outbound

This paper cites Wall-crossing formulae and strong piecewise polynomiality for mixed G rothendieck dessins d'enfant, monotone, and double simple H urwitz numbers.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture Wall-crossing formulae and strong piecewise polynomiality for mixed G rothendieck dessins d'enfant, monotone, and double simple H urwitz numbers

Reference 23

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raw_fallback, observed 2026-08-14T05:01:52.630833Z

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

source=arxiv_source observed=2026-08-14T05:01:52.448735Z digest=sha256:1d6bb96f25966de29a8789bec9fee1e40060c4cba2b76b8dc34ea7ebea0b6ce0

Observation 97adcec0-867d-4a23-9111-8b0a9b650424 · outbound

This paper cites an unresolved cited work.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture Unresolved cited work

Reference 24

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raw_fallback, observed 2026-08-14T05:01:52.617587Z

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=arxiv_source observed=2026-08-14T05:01:52.452374Z digest=sha256:2519fcccfe9887ae1797e534aa82390c5197ecfab379c481223fd38290a64e87

Observation 68a1a04e-06b5-431d-bab2-ef5a22a8a553 · outbound

This paper cites an unresolved cited work.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture Unresolved cited work

Reference 25

Resolution
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no resolver link, observed 2026-08-14T05:01:52.456462Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T05:01:52.456462Z digest=sha256:3510c259811b22e31c9ddf777c6722eb2a52d13ba1e667cf4c1ebd7571014012

Observation 297549ad-6123-48e4-95b1-81a70d4db964 · outbound

This paper cites Quasi-polynomiality of monotone orbifold Hurwitz numbers and Grothendieck's dessins d'enfants.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture Quasi-polynomiality of monotone orbifold Hurwitz numbers and Grothendieck's dessins d'enfants

Reference 26

Resolution
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raw_fallback, observed 2026-08-14T05:01:52.595334Z

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=arxiv_source observed=2026-08-14T05:01:52.460705Z digest=sha256:ac62d8bb4fa6665d57f60d9524042d693a41f56ddbf20afec45da428a04d9a53

Observation dfcf2552-53c1-4ba0-ba78-d4eb1511f9d3 · outbound

This paper cites Topological recursion and its influence in analysis, geometry, and topology , volume 100 of Proceedings of Symposia in Pure Mathematics.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture Topological recursion and its influence in analysis, geometry, and topology , volume 100 of Proceedings of Symposia in Pure Mathematics

Reference 27

Resolution
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raw_fallback, observed 2026-08-14T05:01:52.582406Z

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=arxiv_source observed=2026-08-14T05:01:52.464472Z digest=sha256:b5c045e5502833c771db82c76d9948f6daf001f0d2c477982e73635046e3cc6e

Observation 97f0bd50-1df8-4551-a2a5-859ef8b3709f · outbound

This paper cites an unresolved cited work.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture Unresolved cited work

Reference 28

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raw_fallback, observed 2026-08-14T05:01:52.569462Z

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=arxiv_source observed=2026-08-14T05:01:52.468748Z digest=sha256:a72f3388f4add2b429e52a8b9c7e74ae778bc6af1efb5c07324cc8b87b0bec82

Observation f7f3b1d3-4ffe-4b52-a2ce-072e0eacf009 · outbound

This paper cites Gromov- W itten invariants of target curves via symplectic field theory.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture Gromov- W itten invariants of target curves via symplectic field theory

Reference 29

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raw_fallback, observed 2026-08-14T05:01:52.557697Z

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=arxiv_source observed=2026-08-14T05:01:52.473560Z digest=sha256:1ed8970f62bd7a43980ded175d9abb34edd64c83cda8861a4391274feed24ee0

Observation 6165d4cb-cb23-446d-b809-043082af878c · outbound

This paper cites On double H urwitz numbers with completed cycles.

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture On double H urwitz numbers with completed cycles

Reference 30

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raw_fallback, observed 2026-08-14T05:01:52.544580Z

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=arxiv_source observed=2026-08-14T05:01:52.477138Z digest=sha256:bd2c7347f534645271a990fc329ff0ff0f0679fb1c256513d76bcadb3004728d

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