Paper Citation Record · LEDGER

Lowering operators on $K$-$k$-Schur functions and a lowering operator formula for closed $K$-$k$-Schur functions

As of 11 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2502.05618.

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

pith.paper-citation-record.v1
2502.05618 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T18:42:48.488643Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T11:11:27.117878Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T11:11:27.205696Z

Reference resolution

21 of 21 outbound references displayed

verified exact1
verified fuzzy15
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 89ab7c88-2384-44ae-9b98-c1b108480679 · outbound

This paper cites Blasiak, J.

Lowering operators on $K$-$k$-Schur functions and a lowering operator formula for closed $K$-$k$-Schur functions Blasiak, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:42:48.846259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4ff69bdd-886d-4545-84fc-8e7562d8dd44 · outbound

This paper cites Blasiak, J.

Lowering operators on $K$-$k$-Schur functions and a lowering operator formula for closed $K$-$k$-Schur functions Blasiak, J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:42:48.831420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a7481aa9-61b2-48ca-acbc-d300a51e8e0a · outbound

This paper cites Alternating dual Pieri rule conjecture and $k$-branching conjecture of closed $k$-Schur Katalan functions.

Lowering operators on $K$-$k$-Schur functions and a lowering operator formula for closed $K$-$k$-Schur functions Alternating dual Pieri rule conjecture and $k$-branching conjecture of closed $k$-Schur Katalan functions

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-08T18:42:48.399908Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a6d5a103-88aa-4522-89e2-8e63c59246d5 · outbound

This paper cites Fomin and A.

Lowering operators on $K$-$k$-Schur functions and a lowering operator formula for closed $K$-$k$-Schur functions Fomin and A

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:42:48.816449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f6078ae4-3699-4fd8-bf85-aea950c9f263 · outbound

This paper cites Fomin and A.

Lowering operators on $K$-$k$-Schur functions and a lowering operator formula for closed $K$-$k$-Schur functions Fomin and A

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:42:48.801418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4fff452e-1d7c-416d-87b9-2bdd4b8f5d14 · outbound

This paper cites Hilbert, Mathematical problems, Bull.

Lowering operators on $K$-$k$-Schur functions and a lowering operator formula for closed $K$-$k$-Schur functions Hilbert, Mathematical problems, Bull

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:42:48.786353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2fb18220-dc38-4454-8986-499b4f3f7120 · outbound

This paper cites Ikeda, S.

Lowering operators on $K$-$k$-Schur functions and a lowering operator formula for closed $K$-$k$-Schur functions Ikeda, S

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:42:48.771145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8aaa0cda-0410-4d41-b421-597105d0b813 · outbound

This paper cites Ikeda, S.

Lowering operators on $K$-$k$-Schur functions and a lowering operator formula for closed $K$-$k$-Schur functions Ikeda, S

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:42:48.756421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 37dbd9da-8794-4ae5-95f7-898a13b13c5e · outbound

This paper cites an unresolved cited work.

Lowering operators on $K$-$k$-Schur functions and a lowering operator formula for closed $K$-$k$-Schur functions Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-08T18:42:48.741410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 296f43ea-b5b0-48e6-8d4d-aee31a99970b · outbound

This paper cites an unresolved cited work.

Lowering operators on $K$-$k$-Schur functions and a lowering operator formula for closed $K$-$k$-Schur functions Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-08T18:42:48.726753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 974ef13f-803d-4a98-a441-07aba451c40a · outbound

This paper cites Lam and M.

Lowering operators on $K$-$k$-Schur functions and a lowering operator formula for closed $K$-$k$-Schur functions Lam and M

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:42:48.711482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a3b3d517-7f60-449c-a6bf-ee81bc085f11 · outbound

This paper cites Lapointe and J.

Lowering operators on $K$-$k$-Schur functions and a lowering operator formula for closed $K$-$k$-Schur functions Lapointe and J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:42:48.695944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 51858c68-cfa7-4cf0-bcac-9876342007b0 · outbound

This paper cites Lapointe and J.

Lowering operators on $K$-$k$-Schur functions and a lowering operator formula for closed $K$-$k$-Schur functions Lapointe and J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:42:48.680467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f0c391ba-87b3-4d97-8315-2db12db104e6 · outbound

This paper cites Lascoux, Anneau de Grothendieck de la vari´ et´ e de dr apeaux, in: The Grothendieck Festschrift, V ol.

Lowering operators on $K$-$k$-Schur functions and a lowering operator formula for closed $K$-$k$-Schur functions Lascoux, Anneau de Grothendieck de la vari´ et´ e de dr apeaux, in: The Grothendieck Festschrift, V ol

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:42:48.665193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d4aabb02-04f6-4b8e-9e48-9a527eda52e4 · outbound

This paper cites an unresolved cited work.

Lowering operators on $K$-$k$-Schur functions and a lowering operator formula for closed $K$-$k$-Schur functions Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-08T18:42:48.649261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 57ceb6d6-aee8-4c70-b5e5-21ca26b0b65c · outbound

This paper cites Lenart, Combinatorial aspects of the K-theory of Grassmannians, Ann.

Lowering operators on $K$-$k$-Schur functions and a lowering operator formula for closed $K$-$k$-Schur functions Lenart, Combinatorial aspects of the K-theory of Grassmannians, Ann

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:42:48.631889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 493889a4-f3d6-4709-bdac-55dbb699555b · outbound

This paper cites an unresolved cited work.

Lowering operators on $K$-$k$-Schur functions and a lowering operator formula for closed $K$-$k$-Schur functions Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-08T18:42:48.615614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 689e7688-c7f4-406d-a579-6fc6f8af3943 · outbound

This paper cites Morse, Combinatorics of the k-theory of a ﬃne grassmannians, Adv.

Lowering operators on $K$-$k$-Schur functions and a lowering operator formula for closed $K$-$k$-Schur functions Morse, Combinatorics of the k-theory of a ﬃne grassmannians, Adv

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:42:48.599674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 63e506db-09ac-4652-8fa3-d38b0902d15a · outbound

This paper cites Schubert, Kalk¨ ul der abz¨ ahlenden Geometrie (German) (Calculus of enumerative geometry).

Lowering operators on $K$-$k$-Schur functions and a lowering operator formula for closed $K$-$k$-Schur functions Schubert, Kalk¨ ul der abz¨ ahlenden Geometrie (German) (Calculus of enumerative geometry)

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:42:48.583686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2d72daac-9b05-46b6-a559-f7c3f6fa8c18 · outbound

This paper cites Automorphisms on the ring of symmetric functions and stable and dual stable Grothendieck polynomials.

Lowering operators on $K$-$k$-Schur functions and a lowering operator formula for closed $K$-$k$-Schur functions Automorphisms on the ring of symmetric functions and stable and dual stable Grothendieck polynomials

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-08T18:42:48.532128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3b067887-d4ca-404f-9793-f8514482c22b · outbound

This paper cites Takigiku, A Pieri formula and a factorization fomula for sums of K-theoretic k-Schur functions, Algebraic Combinatorics 2 (2019), 447-480.

Lowering operators on $K$-$k$-Schur functions and a lowering operator formula for closed $K$-$k$-Schur functions Takigiku, A Pieri formula and a factorization fomula for sums of K-theoretic k-Schur functions, Algebraic Combinatorics 2 (2019), 447-480

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T18:42:48.567086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation 74b9cf32-2daa-4255-8cc4-412568053b86 · inbound

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture cites this paper.

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Lowering operators on $K$-$k$-Schur functions and a lowering operator formula for closed $K$-$k$-Schur functions

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-06T11:11:27.210691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.