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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=sha256:9b5dda3059bc7e38f425df8c1f2034f53bd81a7d3ca4dd7ead1b6f2e7a846855

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:d030d2c3185be45bf5c50e0cbd47726f1bc5d9fbd8694eb4b0b130398a9ab225

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:c5fde8a93b6b26cd8dd81fecd5e53454442b2b5fa9085dd0adbca15005e85788

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

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=2026-08-14T05:01:52.370121Z digest=sha256:b35f90788e30feee651d3b1815e3595b8559d46fd5b865deefda026c4d917535

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
verified exact
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=sha256:020e04873d8ea713f193fe35543d726992b294f7c989d4a05bf05cde6e7a2806

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=sha256:94dbef60d4d8784db0cbb49c54502a5261b642d5850b566f80e14a8bedaf15b3

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:c2d117f937e527ead52dbc7498e87f932a3429d8899f60875bd6efd8a5e05702

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=sha256:122f93f8b03ce232daccc6ec3e17a7d8a257b7def048c669fb605183380a86df

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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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=sha256:7652d8665102de13c6533e5a7e582af20d1092eac187a3db72904c27338f3d76

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=sha256:4385a0170cbde864e92878847ec6d8ca1bc9bf1c0478ad3747ff288746b553c2

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:d492335d8a9e8adc4850b1f8e7b0b1103627c7651667efc4587618e3339a00a6

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=sha256:2cdd36c8f68ea95aec2054ed343c7f6878b6d17ccbbca451df7c7906cbb44596

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
verified fuzzy
raw_fallback, observed 2026-08-14T05:01:52.754331Z

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:a10293a253ac47b27f3baf88420b1fb1df381973deece4594377b7a1dce83e16

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=sha256:4034bb4df73b47ad381e6c9fc6b2f5e14d87cbeb20c5b582cd5087a67b323e59

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:f768da1b4698e0d27bdedcdcac714c06c31bafe0abbf0109831056f796ee2bd9

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:f6eabc0b1137b9318fea6c13ab8d106db85c99bfb2f357a70490027e98228e5c

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:cf421e74094fdf006e51391bde5a22d27abde0376ea24bd4e589cf88fdcebd1c

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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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=2026-08-14T05:01:52.429858Z digest=sha256:8fc3ddaf122b0e3279566c1e5b038b08a8c27922d75bf815e02efdfafce8d040

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:a9e28d1e80fea24da4b582d33a78feac8de3528cd02af4b5603d05c4d8578db7

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:b278c806bba9d5a30dfd08f0013cb48cf9c6c94ce1402963889771c81ff245fb

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

Resolution
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raw_fallback, observed 2026-08-14T05:01:52.655438Z

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=sha256:396196c177c56b8a07776357792c9a64563dedfdfb3118f11737933ed82b4224

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=sha256:5a2c1d327092899257e000b2ba6ce3de337628e50dd9df1e46af63d129f1e613

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

Resolution
verified fuzzy
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:f0190f0555a2c813ecfa715c27b39c0a7a8defc0e55d466f594a42e7bed0a05f

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:bdbe1f72d073fd3277e524edbd7affca458eeed77f5066681d84dac5c5fad690

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=sha256:42566210be9012abe20580086310249638d6d2b8cecdf6a31addf8a33b98cc13

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
verified fuzzy
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=sha256:0ba327494518b2191ba36b530d9f5fa85f89a61bfa545ba4fc8a822ab8608e17

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
verified fuzzy
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:d3f4909e002317866d2dd03b765ed29f3627918e38a4abb13a93f0861b96b5f5

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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unresolved
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=sha256:4e7a6667bda0e21dd6034fa02af6a35735ce1b3797e28466aa0ff733b99ae150

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:f553bec6826f0b54ff6380c52ec0bdf263d6b50e34f859731d20e3011b68e412

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:a8a8a26b69db601451cf2ab3a253d68180d9990117e467a5523f5a5d6e188ee1

Pith citing papers

No inbound Pith citation observations are available.