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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 23 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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.093556Z digest=sha256:5664180899fadc90dccfcbf3bdce27c241cab3d8ed0b1db0eaa740cbbf31ddff

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.096829Z digest=sha256:3d42e55d800ce4cf2999180b7c3baf3dc405af194d4231e01b643d3a684365ff

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.099680Z digest=sha256:4b4fbf44e72131f007b44b4d92d57e77f6c5341c71756e50d426e63b03abfc81

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.102670Z digest=sha256:ec255dd12921f4a295224b4459b0a9ac1acc07cc0502bff91556baf33bb59f90

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.106067Z digest=sha256:caf7a6b555561146ca326fd6582cf7718eaa0f13d2a180d826d8f067c1e55d79

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.108868Z digest=sha256:97cc767f80526d870ceaacc70e343003b0f489c880a67e896b14c0177774a236

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.112128Z digest=sha256:1f548ff8f144973323291c5aad1a3f611a9321c3eea7022605d1e007ecbbfe91

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.114726Z digest=sha256:94a8c46ba67a2a5d3f1c094cd877ed9281baeac4b068f4d8da9dc6599caf0894

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.117878Z digest=sha256:4bc020ac6ac70d6434a8802d66bb8d80f9aff64ce8ca1eca66b13b4ab69ef38e

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.121521Z digest=sha256:3864f019e1e2ccb2319ad0c9a9140fcf8d2b5355c71fb4de3ec1672efb615955

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.124851Z digest=sha256:7d4997a7bac6ad2b9bc87be1613b0dfd4836dcb2b8d1ce545e24a9932c098faa

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.127558Z digest=sha256:c2554df45b6f31c625d5f2c255f93e27f23bcc2bc3e1d8a4c8e57dd209066b89

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.130307Z digest=sha256:a8f5e89f2f002979ed9582077e6c844791ea953ece9f4b5b5b7e6ede418a73fa

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.132959Z digest=sha256:d825cb6b7764d6f53d1ee0e2f5e406c255706e4684cd3acd74925af0111c6b9b

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.135790Z digest=sha256:5ffa0736ec5a94aaea6f5d20751100dc04830d9fc58f611145ef81ed30f83d76

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.138322Z digest=sha256:378a89e939504208596687a5ce8f4c7fa24d31808238c5fc4d70509f9a18295c

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.140938Z digest=sha256:b66fcc74680ceeb57ddd5c5fb64e5c437942880e0523dd2d332e124e7b7e0ae4

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.143802Z digest=sha256:c84d3c032dba062e594265aa689b244b75e5578a8d47a6bf857008a38bf949ab

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.146471Z digest=sha256:3e6e7ed81c1ee1ba7911be448e9eeb5d2f0f499a1aff43480c990e773d0d9a26

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.149076Z digest=sha256:c9bb722f81e3f11c96f69d954038bfef23ec793925e43f886ae2df30c8d1ed66

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.152038Z digest=sha256:f47ab1e8720228f92eb4f7e4a49baebcce2330f345e1388eac08571337f1109b

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.154638Z digest=sha256:25fda749e573d5d7ec791e3953b4505aae06da8098ab55ab1808873925578f8b

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.160472Z digest=sha256:b47fe98c616cc03b7c60afe07429c7fe06bb20755510726cb33aaf6bdef5b4ba

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.163109Z digest=sha256:c2cdbd23f3877d735439c5a5b65052ce9dc174d25b403195a68a500c9f73b66b

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.165686Z digest=sha256:6f22f371f27516a041d05a09244ed6fde44f8d936e41e7f22fca1c4cde98f361

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.168813Z digest=sha256:69a960630496e17c52d6f5b614d337636474d250bcd2e629d10dcb76f363ced2

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.171351Z digest=sha256:a02511ca22492733970a74a92467ea4b221339c346e8472aeae5a62d13fb6dcb

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.174005Z digest=sha256:332c197946b315f7cbf2108b6fefaa77da3c4adea55fc301c85c2b759412d0cf

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.176578Z digest=sha256:c85e886b70547a0c2656f99a5308a56ba54b6322f3f24a8b39fadc26fb6b69ce

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.179161Z digest=sha256:933cebedd435f1feb9f158f02ea60297026763486b260284547b9c6e3cb8980c

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T11:11:27.157796Z digest=sha256:f5af61eaa232d7558c44fa410b5c53c5734cdc6bd45c9b3b9a794cb1fb962a93

Pith citing papers

No inbound Pith citation observations are available.