Paper Citation Record · LEDGER

Recursions for rational q,t-Catalan numbers

As of 16 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:1908.11763.

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

pith.paper-citation-record.v1
1908.11763 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:13:55.211710Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

21 of 21 outbound references displayed

verified exact0
verified fuzzy16
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 20bad4ed-cbed-421a-ae64-613f10b2b808 · outbound

This paper cites Anderson.

Recursions for rational q,t-Catalan numbers Anderson

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:13:55.525405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0d654cb7-9deb-41fd-8964-9adefe70d03d · outbound

This paper cites Armstrong, N.

Recursions for rational q,t-Catalan numbers Armstrong, N

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:13:55.512669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e646a076-19f3-42cf-bbc1-6442e76067d7 · outbound

This paper cites Armstrong, C.

Recursions for rational q,t-Catalan numbers Armstrong, C

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:13:55.500255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 771caa3f-8ca9-4c62-909e-c48956cc0b7b · outbound

This paper cites Bergeron, A.

Recursions for rational q,t-Catalan numbers Bergeron, A

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:13:55.488137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 375ea2f9-096b-49d6-8898-18891219972c · outbound

This paper cites Elias, M.

Recursions for rational q,t-Catalan numbers Elias, M

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:13:55.474951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3c979314-7259-46a0-b84b-ae49cf9785aa · outbound

This paper cites Garsia, M.

Recursions for rational q,t-Catalan numbers Garsia, M

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:13:55.460961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2ff2044e-a54e-436c-ba92-32bf6bc67dae · outbound

This paper cites an unresolved cited work.

Recursions for rational q,t-Catalan numbers Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:13:55.447549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4a060f00-2ead-41d9-a121-b40ef2c0cee6 · outbound

This paper cites Gorsky, S.

Recursions for rational q,t-Catalan numbers Gorsky, S

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:13:55.432206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3e6705e4-c872-45a6-8f70-ad01bbd1296f · outbound

This paper cites Gorsky, M.

Recursions for rational q,t-Catalan numbers Gorsky, M

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:13:55.417881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 608d02ea-a629-4756-9643-105457c6f03f · outbound

This paper cites Gorsky, M.

Recursions for rational q,t-Catalan numbers Gorsky, M

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:13:55.403784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5f0f5c42-5e97-48ea-8cd5-424f060476af · outbound

This paper cites Gorsky, M.

Recursions for rational q,t-Catalan numbers Gorsky, M

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:13:55.390235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation de3394a9-138d-4e5b-bfa9-b8afca14ecc5 · outbound

This paper cites Gorsky, A.

Recursions for rational q,t-Catalan numbers Gorsky, A

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:13:55.375466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4e620a98-35e9-41ab-ae51-3dd26147e803 · outbound

This paper cites Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology.

Recursions for rational q,t-Catalan numbers Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-14T10:13:55.175521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 203e4726-2812-4186-9f4f-fc9b68fd7234 · outbound

This paper cites Gukov, M.

Recursions for rational q,t-Catalan numbers Gukov, M

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:13:55.359909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b444512d-a94a-4a91-ac98-37ed314ddd36 · outbound

This paper cites Haglund, The q, t-Catalan Numbers and the Space of Diagonal Harmonics: With a n Appendix on the Combinatorics of Macdonald Polynomials.

Recursions for rational q,t-Catalan numbers Haglund, The q, t-Catalan Numbers and the Space of Diagonal Harmonics: With a n Appendix on the Combinatorics of Macdonald Polynomials

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:13:55.346450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3df93306-1a1e-4a32-be5c-d43a132043c9 · outbound

This paper cites Khovanov-Rozansky homology and higher Catalan sequences.

Recursions for rational q,t-Catalan numbers Khovanov-Rozansky homology and higher Catalan sequences

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-14T10:13:55.189171Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 18041654-4ecd-406a-b20d-3a501ae18402 · outbound

This paper cites Hogancamp, A.

Recursions for rational q,t-Catalan numbers Hogancamp, A

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:13:55.333022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5ecca27a-ee99-4d09-bf17-339b160b1ae8 · outbound

This paper cites Khovanov.

Recursions for rational q,t-Catalan numbers Khovanov

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:13:55.320153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d925323e-1f51-4eaf-9387-54afdd19b05c · outbound

This paper cites Khovanov.

Recursions for rational q,t-Catalan numbers Khovanov

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:13:55.306007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 30b081ed-04e4-4294-9148-609fa84df75b · outbound

This paper cites Toric braids and $(m,n)$-parking functions.

Recursions for rational q,t-Catalan numbers Toric braids and $(m,n)$-parking functions

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-14T10:13:55.206755Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 53a023f1-3045-4744-bbd8-de0e9b4b19f2 · outbound

This paper cites Homology of torus knots.

Recursions for rational q,t-Catalan numbers Homology of torus knots

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-14T10:13:55.211710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.