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Paper Citation Record · LEDGER

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture

As of 11 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2507.23222.

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

pith.paper-citation-record.v1
2507.23222 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T11:11:27.179161Z

measured 31 of 31 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 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

31 of 31 outbound references displayed

  • verified exact2
  • verified fuzzy22
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 59a6e430-830e-47c5-9430-c4ee619215ea · outbound

This paper cites Blasiak, J.

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Blasiak, J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:11:27.495555Z

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.

source=pdf_text observed=2026-08-06T11:11:27.093556Z digest=sha256:924081418417342b1279b74b1da668ea1dd42d04bce3da1ed497a335a2e5df74

Observation a5d5d008-278e-4b29-8acf-16cc2fadf6fb · outbound

This paper cites Blasiak, J.

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Blasiak, J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:11:27.484765Z

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.

source=pdf_text observed=2026-08-06T11:11:27.096829Z digest=sha256:1661cbfebcfac8e919eb704b1d5c3c8dea7aa37a3629de536b69064e3bb93252

Observation d5bb8868-29aa-457f-a1e8-44d4876d1142 · outbound

This paper cites Blasiak, J.

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Blasiak, J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:11:27.475253Z

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.

source=pdf_text observed=2026-08-06T11:11:27.099680Z digest=sha256:085c81dae0628d3fcbb1f8a7d200bcb02312f8056d8fa983df897283295c52bf

Observation 7599c730-aa2b-459f-bb9f-8c2a2ad30388 · outbound

This paper cites Blasiak, J.

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Blasiak, J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:11:27.465834Z

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.

source=pdf_text observed=2026-08-06T11:11:27.102670Z digest=sha256:45275ed43b0b4f8571989bb32f16f21e090ec3ecc15a1c509630d6d1130ba49f

Observation dbe0d440-c97b-4497-92ed-312952d5634a · outbound

This paper cites Bott, The space of loops on a Lie group, Michigan Math.

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Bott, The space of loops on a Lie group, Michigan Math

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:11:27.456121Z

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.

source=pdf_text observed=2026-08-06T11:11:27.106067Z digest=sha256:8873a7b3dc02959f7f7bcbad4e2c909c6b0a75ba9c20b68efaac3819c1c9bea6

Observation 20ebe48c-8e27-4bdc-8e19-36eb02956d7c · outbound

This paper cites Broer, Normality of some nilpotent varieties and cohomology of line bundles on the cotangent bundle of the flag variety, Lie theory and geometry, Progr.

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Broer, Normality of some nilpotent varieties and cohomology of line bundles on the cotangent bundle of the flag variety, Lie theory and geometry, Progr

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:11:27.445579Z

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.

source=pdf_text observed=2026-08-06T11:11:27.108868Z digest=sha256:c50998a40eac3f486ad296b1b074d68365b1d91066038a73cc8a0d24d284a99c

Observation 47a9408f-b900-4c7a-84f7-7349ba6ac8d0 · outbound

This paper cites an unresolved cited work.

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:11:27.435141Z

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.

source=pdf_text observed=2026-08-06T11:11:27.112128Z digest=sha256:409d37474d026badc21087795b1c3fc650d761fc32703a059d84e018f006706d

Observation af001fe8-d204-4957-8bcb-b2723cbfe1dd · outbound

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

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Alternating dual Pieri rule conjecture and $k$-branching conjecture of closed $k$-Schur Katalan functions

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-06T11:11:27.224425Z

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.

source=pdf_text observed=2026-08-06T11:11:27.114726Z digest=sha256:70ed2cebcae261220c9d11d796ba2d6106af1a7923055550c2192013c1fb0ebe

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

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

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.

source=pdf_text observed=2026-08-06T11:11:27.117878Z digest=sha256:f7d6da5bbb6ee69e00e05b91f3e1270796797725ca801837d0fd52f3732be3a7

Observation c0c65074-7997-4fbc-a947-355a2c1195c6 · outbound

This paper cites Fomin, S.

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Fomin, S

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:11:27.425347Z

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.

source=pdf_text observed=2026-08-06T11:11:27.121521Z digest=sha256:0dc25b6ec4ac0cb3b872f233a706c79e54bc7bdf4c92a82020a5689f63b5453c

Observation 6e3bbf56-30d9-4db5-ac6e-5f7d88c993f1 · outbound

This paper cites Givental and Y.

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Givental and Y

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:11:27.416001Z

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.

source=pdf_text observed=2026-08-06T11:11:27.124851Z digest=sha256:af2b2a852214ca6c450dc26e5901627cfcb7cbab94f13e2594c295cf5c1c5375

Observation f5585a1a-7b28-4358-ada2-3ed930bb4103 · outbound

This paper cites Haglund, The q, t-Catalan Numbers and the Space of Diagonal Harmonics: With an Appendix on the Com- binatorics of Macdonald Polynomials, American Mathematical Society, 2007.

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Haglund, The q, t-Catalan Numbers and the Space of Diagonal Harmonics: With an Appendix on the Com- binatorics of Macdonald Polynomials, American Mathematical Society, 2007

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:11:27.406297Z

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.

source=pdf_text observed=2026-08-06T11:11:27.127558Z digest=sha256:d5bfe306bbf7eb363fa923d7b06bbf136b8f8fd2c74e76bd409419b1290fcd28

Observation 74f9f08a-7d10-4ee8-bcf0-e3e1bb5470b6 · outbound

This paper cites Hilbert, Mathematical problems, Bull.

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Hilbert, Mathematical problems, Bull

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:11:27.396233Z

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.

source=pdf_text observed=2026-08-06T11:11:27.130307Z digest=sha256:abf16097ee67e2f147981e2e74309db4b1f71573da9cbf947f9ff90037f3ddf2

Observation 719de8e3-e422-41de-8e33-b7ff87b57213 · outbound

This paper cites Ikeda, S.

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Ikeda, S

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:11:27.386392Z

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.

source=pdf_text observed=2026-08-06T11:11:27.132959Z digest=sha256:c900bd61f093dc612e51fba0753217cf23b29993592ba8ae3260c4a174a3e87f

Observation 2d8f347e-f5b8-48d6-a712-65e8e778d948 · outbound

This paper cites Ikeda, S.

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Ikeda, S

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:11:27.377025Z

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.

source=pdf_text observed=2026-08-06T11:11:27.135790Z digest=sha256:3831c13fa9a948859f04383def7e912700ef3e9aeeb095a8b2da0d9ccdd27e59

Observation 588b7f6a-e23d-4afe-9a91-ad3689f514e8 · outbound

This paper cites Lam, Schubert polynomials for the a ffine Grassmannian, J.

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Lam, Schubert polynomials for the a ffine Grassmannian, J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:11:27.368092Z

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.

source=pdf_text observed=2026-08-06T11:11:27.138322Z digest=sha256:1e2539c4748d00d5f6c59ba380c62a41cdaab9a7092749a49fe4631fc680005f

Observation b737a968-0cef-44b8-be75-3b36a93cc1c7 · outbound

This paper cites an unresolved cited work.

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:11:27.358593Z

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.

source=pdf_text observed=2026-08-06T11:11:27.140938Z digest=sha256:d8b05cb9a67834484223288ef8a5061c9b400b0e27a8e80eeb75a75112fe6679

Observation 95c76bed-8ef5-403d-955a-1fe1b082d7b0 · outbound

This paper cites an unresolved cited work.

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:11:27.348769Z

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.

source=pdf_text observed=2026-08-06T11:11:27.143802Z digest=sha256:0cfad7312207c2c5bcddfba3d3053839322288a5e49727f9480b1f620efe4908

Observation be5a7ccb-9710-458c-9433-0f0c376ea56a · outbound

This paper cites an unresolved cited work.

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:11:27.339545Z

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.

source=pdf_text observed=2026-08-06T11:11:27.146471Z digest=sha256:419fd90bb59012d6978abd3e27c36c6fdce4ee9365d6d318e7d724b0fb813853

Observation cf5d0acd-7a57-40e1-a90d-d5d66aade3ad · outbound

This paper cites Lam and M.

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Lam and M

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:11:27.330745Z

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.

source=pdf_text observed=2026-08-06T11:11:27.149076Z digest=sha256:1c3d10c328c37755a6d603deb1a4819a00fc0185acb60c87b4d72c5146a773d4

Observation 1749c784-25b9-4d8a-a108-37487fd405d3 · outbound

This paper cites Lapointe, A.

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Lapointe, A

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:11:27.322140Z

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.

source=pdf_text observed=2026-08-06T11:11:27.152038Z digest=sha256:80a8aa3bd5ad985ab858ac73499bbb9044701fa15eee0b34375d59177771f818

Observation d0537b8e-031f-40b2-8a04-0994c044929e · outbound

This paper cites Lapointe and J.

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Lapointe and J

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:11:27.313633Z

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.

source=pdf_text observed=2026-08-06T11:11:27.154638Z digest=sha256:24905b98d9a0fdbaef47732a0216939c47e2a151a8f200897b0a8a085fb22ea0

Observation efaceeb9-387b-46cb-9173-15093835bf9b · outbound

This paper cites an unresolved cited work.

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:11:27.296337Z

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.

source=pdf_text observed=2026-08-06T11:11:27.160472Z digest=sha256:d3432bcb8bb90f63827d74bf535363ec710d803f9afc60d86ef78b4c2d53e13c

Observation f033aac7-1ed0-4f3e-a7e7-c3f81b26baf1 · outbound

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

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Lenart, Combinatorial aspects of the K-theory of Grassmannians, Ann

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:11:27.287940Z

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.

source=pdf_text observed=2026-08-06T11:11:27.163109Z digest=sha256:5a41e363ddedd801ca8f217e18190cfc2b844a180a96a6641bc6e596246ab115

Observation 7c7060b0-0248-4658-a61d-25de967341a3 · outbound

This paper cites Lenart and T.

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Lenart and T

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:11:27.279186Z

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.

source=pdf_text observed=2026-08-06T11:11:27.165686Z digest=sha256:e1f3eedf4839ea5a69e841babeb56182faa2a5df0d1f4cd4c626d7e200b4521e

Observation 1b448fb0-c188-4ab1-877a-bd237cad30a6 · outbound

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

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Morse, Combinatorics of the k-theory of affine grassmannians, Adv

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:11:27.270307Z

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.

source=pdf_text observed=2026-08-06T11:11:27.168813Z digest=sha256:a1dcd1002a9603a407f15422b3a3715decb3228134b292ecf27b27c155117258

Observation b646c078-e8e1-4efc-b9a7-ed4a2026c244 · outbound

This paper cites an unresolved cited work.

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:11:27.261478Z

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.

source=pdf_text observed=2026-08-06T11:11:27.171351Z digest=sha256:4af29273c92ac9538d33ec9b52460d3593ea5d930aecb889e2d02e30f98c0d59

Observation ca9b8658-2ecc-4ec2-a07b-cc03f9521c58 · outbound

This paper cites Schubert, Kalk ¨ul der abz ¨ahlenden Geometrie (German) (Calculus of enumerative geometry), Springer- Verlag, Berlin-New York, 1979.

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Schubert, Kalk ¨ul der abz ¨ahlenden Geometrie (German) (Calculus of enumerative geometry), Springer- Verlag, Berlin-New York, 1979

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:11:27.251506Z

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.

source=pdf_text observed=2026-08-06T11:11:27.174005Z digest=sha256:a5e790f8a0f7c3a415aac1d014a18044c4588042c44ac994dd7e7df8328eb0e7

Observation ebe7e3e8-2b04-4156-b7b0-81542015b06f · outbound

This paper cites Shimozono and J.

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Shimozono and J

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:11:27.242631Z

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.

source=pdf_text observed=2026-08-06T11:11:27.176578Z digest=sha256:9bd8f5c50ca8cc62826cc47b06655b6fc1eb4dad79536af47a853279f42236e7

Observation 2fdabe4f-a70b-43eb-a386-170b9fd64f1e · outbound

This paper cites Takigiku, A Pieri formula and a factorization formula for sums of K-theoretic k-Schur functions, Algebr.

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Takigiku, A Pieri formula and a factorization formula for sums of K-theoretic k-Schur functions, Algebr

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:11:27.233662Z

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.

source=pdf_text observed=2026-08-06T11:11:27.179161Z digest=sha256:4ae6dc5027bde99a67249cfb640025766727be1ae8e77caa66b88481bb7182d4

Observation 00c7758b-eb88-4bca-a833-f8fee9e87285 · outbound

This paper cites an unresolved cited work.

Weighted $K$-$k$-Schur functions and their application to the $K$-$k$-Schur alternating conjecture Unresolved cited work

Reference 204

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:11:27.304729Z

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.

source=pdf_text observed=2026-08-06T11:11:27.157796Z digest=sha256:62cf6416b634c9f02376ebe8959a255691e5caddda625db584796eb75af486fa

Pith citing papers

No inbound Pith citation observations are available.