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Paper Citation Record · LEDGER

Virasoro constraints for topological recursion

As of 18 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 1 inbound Pith citation observation for arXiv:2507.20151.

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

pith.paper-citation-record.v1
2507.20151 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:56:31.505669Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-08T17:48:19.203228Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-11T17:11:18.140455Z

Reference resolution

33 of 33 outbound references displayed

  • verified exact2
  • verified fuzzy20
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 13154bba-b4a7-4f21-83c4-ffb3eefdf1ef · outbound

This paper cites Alexandrov, Cut-and-join operators in cohomological field theory and topological recursion.

Virasoro constraints for topological recursion Alexandrov, Cut-and-join operators in cohomological field theory and topological recursion

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:56:32.078031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.375912Z digest=sha256:df219c73d50f5c47ce5417cc95ac6b446595e968ab3e61e04d5c7aca6bff9654

Observation 0fc3ab92-5bfa-4dfd-ba90-b67ade85e990 · outbound

This paper cites Alexandrov, B.

Virasoro constraints for topological recursion Alexandrov, B

Reference 2

Resolution
verified exact
raw_fallback, observed 2026-08-15T17:56:31.767213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.380167Z digest=sha256:07704ec19fc502c592978b5fab8ce744ccb97c97a6de02b29f9ead5d3039b5f1

Observation 54d6be37-4b27-475d-97f2-1f5fd2a1de54 · outbound

This paper cites Aganagic, R.

Virasoro constraints for topological recursion Aganagic, R

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:56:32.066375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.383889Z digest=sha256:12b2be22a406e4c2cab86b9d2af4c9cd1447207f86895aa89b5bdafe2b857e0e

Observation beb70546-f8b5-450d-9ddb-18cc558d6571 · outbound

This paper cites Borot, B.

Virasoro constraints for topological recursion Borot, B

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:56:32.055584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.387949Z digest=sha256:d32e2fd8e04534bfdf97d04220cfc3b1ed2abe62bf745f16c67b2b1ea40474a8

Observation d29cb036-f908-4f7d-bd6d-611cf92053b7 · outbound

This paper cites Bouchard, A.

Virasoro constraints for topological recursion Bouchard, A

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:56:32.044474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.391651Z digest=sha256:113c1768cc48880b757c124efe1c214e7aa272247b5ec322895e3391e9b6c417

Observation 03108427-2984-4863-8a01-406e82af6ced · outbound

This paper cites Hurwitz numbers, matrix models and enumerative geometry.

Virasoro constraints for topological recursion Hurwitz numbers, matrix models and enumerative geometry

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-15T17:56:31.395558Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:56:31.395558Z digest=sha256:63f8b52cc4400ddf6c203ac65489256ad29a35f3fb76c26a18381448d9d79459

Observation 3b81d13c-addf-473a-8078-73a4cf65949b · outbound

This paper cites Borot, B.

Virasoro constraints for topological recursion Borot, B

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:56:32.034104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.399876Z digest=sha256:2b7f89af83f04239283e09c0b9b256a5df64897d8410cfe9624418f655f43dcd

Observation eb10a18b-95d2-408b-a4e4-8cf7b1f73336 · outbound

This paper cites Chekhov, B.

Virasoro constraints for topological recursion Chekhov, B

Reference 8

Resolution
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raw_fallback, observed 2026-08-15T17:56:32.023544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.403972Z digest=sha256:5b50aa3ff798f04fb80287788440ad6dd33eb0b012a6706b93615cae4766205b

Observation 1f2e7af9-0144-4cd0-81e1-c30b6a9abb65 · outbound

This paper cites Relations on $\overline{\mathcal{M}}_{g,n}$ and the negative $r$-spin Witten conjecture.

Virasoro constraints for topological recursion Relations on $\overline{\mathcal{M}}_{g,n}$ and the negative $r$-spin Witten conjecture

Reference 9

Resolution
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no resolver link, observed 2026-08-15T17:56:31.412241Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:56:31.412241Z digest=sha256:e70264bb723afb864412a4200f76634f6576ffe0f4e2b3c48b9a963d53aa9088

Observation fae04e6b-183f-4ec1-a1f9-6a47158dc4c6 · outbound

This paper cites BCOV's Feynman rule of quintic $3$-folds.

Virasoro constraints for topological recursion BCOV's Feynman rule of quintic $3$-folds

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-15T17:56:31.417327Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:56:31.417327Z digest=sha256:55743b592fcc8c4f473830b5c981356ce21fb35a22a3fbf0ce906dd3deb21aef

Observation 572d3127-f1d2-4304-865f-85d6c3a8c996 · outbound

This paper cites Dunin-Barkowski, N.

Virasoro constraints for topological recursion Dunin-Barkowski, N

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:56:32.012166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.422109Z digest=sha256:b46d3733e7a64e16ca2c8c5e26cd4838da155db21c0f72161ae9e3b5fab62eed

Observation db3f4023-ee78-4ba0-8396-cb526f404fef · outbound

This paper cites Eynard, M.

Virasoro constraints for topological recursion Eynard, M

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:56:32.001065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.426066Z digest=sha256:a3cd20e332656b31d8ff41801d76aa76391ab01a63930c5857ae65a23074d880

Observation e88a2f95-bf8a-4afd-b13c-c1a1b2671854 · outbound

This paper cites Eynard, N.

Virasoro constraints for topological recursion Eynard, N

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:56:31.989248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.430173Z digest=sha256:3ec1e5c522eda8e274d6a047ca9c07ffc0f82b3ae22e5c18e34498545e900d94

Observation b8635d82-3665-4604-9e48-60037cb65223 · outbound

This paper cites Eynard, N.

Virasoro constraints for topological recursion Eynard, N

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:56:31.977742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.434146Z digest=sha256:4f63aaf7f59c8cc8c7d612f939950f5f83a906cb58b35f775630a06896c73d21

Observation 4b9a569f-39ea-45b1-83a3-2a493a9ba169 · outbound

This paper cites Eynard, N.

Virasoro constraints for topological recursion Eynard, N

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:56:31.966411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.438594Z digest=sha256:cda958ea5e0664def7e4e60e9054bcdfbbd728710e9069b6d5bea4fd5ccc5571

Observation 33f9f11b-b693-489e-a84c-83ef3ed196f5 · outbound

This paper cites an unresolved cited work.

Virasoro constraints for topological recursion Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:56:31.955263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.442767Z digest=sha256:c0d11dc0be46a22eab80f9d84cf14ce0f48e1fbcb18735e5347f26ab02592d8b

Observation c2073b48-6430-4b1d-bfe0-5b20e81489fa · outbound

This paper cites Fang, C.-C.

Virasoro constraints for topological recursion Fang, C.-C

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:56:31.944635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.447109Z digest=sha256:f5e145171e0cc440efae16f9218530b3286ecaaf9ee9c3ca45a078a32825d066

Observation 2aacfef4-4ff1-434b-89e6-c5841725faaf · outbound

This paper cites Givental.

Virasoro constraints for topological recursion Givental

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:56:31.933443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.450347Z digest=sha256:f4272d49730d749fdd54dc29d2bbb962ed41b1635d7b5461bd2da420be160a58

Observation 4bc3909d-afdb-4aa4-a430-e01143bbf239 · outbound

This paper cites Givental.

Virasoro constraints for topological recursion Givental

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:56:31.922512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.453928Z digest=sha256:817ea2032e4d50259ada72c1b49c8a43ed6f6012948ad9724e52db7eeecf3ea7

Observation 193a2281-2569-4144-bf65-c9f043f29a66 · outbound

This paper cites Cohomological Field Theory with vacuum and its Virasoro constraints.

Virasoro constraints for topological recursion Cohomological Field Theory with vacuum and its Virasoro constraints

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-15T17:56:31.554387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.457546Z digest=sha256:b564808f73f875b501ffc03f59014ed1024724280ac1c32e70ed4d5a00f3b689

Observation 9adfe029-815c-46fa-9341-ae8453fb9231 · outbound

This paper cites A generalization of the Witten conjecture through spectral curve.

Virasoro constraints for topological recursion A generalization of the Witten conjecture through spectral curve

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-15T17:56:31.461512Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:56:31.461512Z digest=sha256:f69f70cdb73b9a1981c3cfb79dcd0dc7a5d91f3e636b8215e3c93674e1137ef0

Observation 8ebc90b1-8c5d-4cc2-b74f-142f04c7a8e1 · outbound

This paper cites an unresolved cited work.

Virasoro constraints for topological recursion Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:56:31.911774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.466050Z digest=sha256:cba8ca7c29ab3c8e78e90de795b2a1d624485c67b95c829c3e42766e703bacd1

Observation b7cfc2e2-4e0d-4bf1-8997-ef887ef6dc37 · outbound

This paper cites Kazarian, P.

Virasoro constraints for topological recursion Kazarian, P

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:56:31.900679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.469532Z digest=sha256:b4bc4f6579c3ca9e58d63aa2ea32695a2cb45ae90dbc297b2f32c9b7ad90fe8d

Observation b8ca665c-5359-46f7-b3fb-c4c8bffc53e5 · outbound

This paper cites Kontsevich.

Virasoro constraints for topological recursion Kontsevich

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:56:31.887119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.473115Z digest=sha256:308667f4492d7104fa24b82e2c8af460ce64c9ddc04e7e3e700823b5fbcd6eb8

Observation af5fa1cd-a470-47b4-aafa-bdd8f5430a40 · outbound

This paper cites Kontsevich, Y.

Virasoro constraints for topological recursion Kontsevich, Y

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:56:31.875605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.476656Z digest=sha256:91cd70a006821c6c3c8027efa3031915506d1682686bad4ca4a5ce050d4fa462

Observation 645e7c3f-10c5-4580-9404-70fc0562b870 · outbound

This paper cites Kontsevich, Y.

Virasoro constraints for topological recursion Kontsevich, Y

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:56:31.863852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.480308Z digest=sha256:4be7df248d69316a1e325d43e9041e135b966e4485fccb857a8927dad7b2eaf3

Observation 774e11f2-425a-463b-a197-6a5ef27ed038 · outbound

This paper cites an unresolved cited work.

Virasoro constraints for topological recursion Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:56:31.852378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.483938Z digest=sha256:3db870774d63dc84046d5cf167791a3e62aaa95484e4c18684061c0e1b2c5f88

Observation d90e6768-2bf1-4b81-bfbf-5241fd8d1d2a · outbound

This paper cites an unresolved cited work.

Virasoro constraints for topological recursion Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:56:31.840704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.487751Z digest=sha256:2849202ffd2dcd0b335053533ec6a60bb85d607fbe97c5d09110ee1666387e30

Observation 388cd815-a547-48f7-aa20-6e2a91c69d86 · outbound

This paper cites Norbury, N.

Virasoro constraints for topological recursion Norbury, N

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:56:31.828698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.491172Z digest=sha256:1014271efa4557797deedbf355e6021ee81d0690d28ec76a3542c6b0d6a1b129

Observation 543189c0-3fd5-4ee8-9b84-64da2a1d0298 · outbound

This paper cites Pandharipande, A.

Virasoro constraints for topological recursion Pandharipande, A

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:56:31.817284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.494726Z digest=sha256:939fe976760ea5c82163ad0634da762db5348819185ea25bffa69a33a735f828

Observation 4df943c6-91c2-4e2e-9b9d-a21123c8722e · outbound

This paper cites an unresolved cited work.

Virasoro constraints for topological recursion Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:56:31.805650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.498241Z digest=sha256:2f1f4b856241898bb46032f868ba8b0575420027735c3fd4395967fbf655adb0

Observation 820baa50-916f-448f-9eb9-c51b96f5526c · outbound

This paper cites an unresolved cited work.

Virasoro constraints for topological recursion Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:56:31.793622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.501926Z digest=sha256:a3ce4c2da959dd804a33c97559e6dfc7451f064ce402407dd38fd4694012fa1a

Observation b5585f04-62cb-4ff3-9216-5ef018bdc897 · outbound

This paper cites an unresolved cited work.

Virasoro constraints for topological recursion Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:56:31.780447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T17:56:31.505669Z digest=sha256:79848c9dd7255bb6d7a1d39b187a2533c58b4f3793ced8da156923745fc0c484

Pith citing papers

Observation 1fa9cc80-0858-4379-af30-246020444698 · inbound

Generalized Kontsevich model, topological recursion, and $r$-spin theory cites this paper.

Generalized Kontsevich model, topological recursion, and $r$-spin theory Virasoro constraints for topological recursion

Reference 36

Resolution
verified exact
arxiv_id, observed 2026-05-11T17:11:18.142599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-08T17:48:19.203228Z digest=sha256:e2b74f13074b5b82a6ceb87506e4b1f22517617082190615fe976ede4eccfd8b