Pith. sign in

Paper Citation Record · LEDGER

Hybrid Grothendieck polynomials

As of 8 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 1 inbound Pith citation observation for arXiv:2505.19072.

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

pith.paper-citation-record.v1
2505.19072 v1

Coverage vector

measured 55 of 55 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:27:10.870944Z

measured 56 of 56 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T04:46:58.737710Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

55 of 55 outbound references displayed

  • verified exact2
  • verified fuzzy42
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ce9b1462-f86c-49d1-8690-4ca61cc6df1e · outbound

This paper cites Abney-McPeek, S.

Hybrid Grothendieck polynomials Abney-McPeek, S

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:19.345425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:06.425000Z digest=sha256:4df0281d910ec3c1a9a727b642abe124eb667dcb13e54cf481ea6747a65cf12c

Observation b1bf98b2-a790-4225-a900-19a592c8b61f · outbound

This paper cites Aggarwal, A.

Hybrid Grothendieck polynomials Aggarwal, A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:19.149739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:06.536549Z digest=sha256:2086811717bf7f84af2550e4d5813c324f055cd3191d4dc4b63a1a5244f5e3d2

Observation 8dd5c200-26d7-4056-8c72-ea1aef047208 · outbound

This paper cites Alwaise, S.

Hybrid Grothendieck polynomials Alwaise, S

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:19.019792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:06.613970Z digest=sha256:5e23ad61244ecda065c0258269f4407859184605fa3440af671396d6340a151a

Observation d08a9a2c-2eb2-4f87-9045-c9c6d22e78f6 · outbound

This paper cites Amanov, D.

Hybrid Grothendieck polynomials Amanov, D

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:18.853544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:06.743084Z digest=sha256:4772b4c790ff852df1cd828f121bbba7f8547b558e2c22ce27945a4e739de221

Observation f4619733-cb0f-4eea-93c4-52ba4de92039 · outbound

This paper cites Bandlow, J.

Hybrid Grothendieck polynomials Bandlow, J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:18.713502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:06.847753Z digest=sha256:66a895db05b05b8c3403dc9118e4faf6e4c072c947be6ac0e30deb5f92246ae1

Observation baec3832-8fd5-414c-a472-ecb55eab4598 · outbound

This paper cites Besson, S.

Hybrid Grothendieck polynomials Besson, S

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:18.537792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:06.961272Z digest=sha256:35e9acb761c34e94f0753124650ca3edb38632c1ad2dfc38d93333075f56317d

Observation 1e93006b-14ce-466a-9635-ba8dee0d2142 · outbound

This paper cites an unresolved cited work.

Hybrid Grothendieck polynomials Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:27:18.378865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:07.069400Z digest=sha256:7ad54febe91cc529e0c6dfef527963dd3a2f74643d81ffdb1edf6e804b369542

Observation b326f817-0769-4190-99d6-2039c9102a3f · outbound

This paper cites Buch, A Littlewood-Richardson rule for the K-theory of Grassmannians, Acta Math.

Hybrid Grothendieck polynomials Buch, A Littlewood-Richardson rule for the K-theory of Grassmannians, Acta Math

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:18.188291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:07.158109Z digest=sha256:4fc9cddd69b2f064905981c8812eab1e10e895d70043bd46a353f4baf133b440

Observation 817c720b-e8e1-4912-b7cb-23530f1e3ebf · outbound

This paper cites Buciumas, T.

Hybrid Grothendieck polynomials Buciumas, T

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:18.042712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:07.245063Z digest=sha256:c1f67107bbe7ffad932b96aee03cd503a350fa2e724b0a36937a991f156c75ff

Observation 2451ef02-8383-40ea-887b-044d46864768 · outbound

This paper cites an unresolved cited work.

Hybrid Grothendieck polynomials Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:27:17.840761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:07.297646Z digest=sha256:a295cbb9ae98f11d07c8abf2ffd442b03872f4b875158c61e508ce30e976e045

Observation 8b09bd54-5e9e-4856-8d11-261a84698307 · outbound

This paper cites K-polynomials of multiplicity-free varieties.

Hybrid Grothendieck polynomials K-polynomials of multiplicity-free varieties

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-07T14:27:07.431550Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:27:07.431550Z digest=sha256:a489c773a512b768acfa7bc293a42f6b063581494d3668b858d9f7120b91701f

Observation aaa27813-ced3-4114-ab9b-203fc8a92787 · outbound

This paper cites Castillo, Y.

Hybrid Grothendieck polynomials Castillo, Y

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:17.720898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:07.558587Z digest=sha256:a107778e6313114a864b403ed206e7e50b11c8eb34c7f8c8c71558d30fb8783c

Observation 51505e08-d43c-4e9d-b1c7-1bda7721c288 · outbound

This paper cites an unresolved cited work.

Hybrid Grothendieck polynomials Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:27:17.600565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:07.638041Z digest=sha256:55d9ad9b2a36f82d98d547e261bb4eb86d9c5502a7914b9576b1b0f491dd124c

Observation 8f7442bc-27ef-4c91-a7e4-8970a61fc9c3 · outbound

This paper cites Escobar, A.

Hybrid Grothendieck polynomials Escobar, A

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:17.450977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:07.754625Z digest=sha256:8f7d8f532e4c2201ec3bc564fd65b1e98306bb9f35f88a77395a3120c904a20f

Observation 4079e953-2d30-45f4-884a-5af47a21be30 · outbound

This paper cites Fan, P.L.

Hybrid Grothendieck polynomials Fan, P.L

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:17.347624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:07.872276Z digest=sha256:d0e6d60652d13d33266850fa3ff8d61ba0faf0fdf69d441d6215d83ef3d10d33

Observation dc21ec44-5655-4469-bee2-6ad793bb7f23 · outbound

This paper cites an unresolved cited work.

Hybrid Grothendieck polynomials Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:27:17.226854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:07.962642Z digest=sha256:d0a1e75950c1130604a5f4dc967595d87d8971b9bfac6ad1a5ac4b7136f79ac2

Observation 5f5c62c3-dfa8-42a9-886d-1fabdf9749a4 · outbound

This paper cites Fomin, Schur operators and Knuth correspondences, J.

Hybrid Grothendieck polynomials Fomin, Schur operators and Knuth correspondences, J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:17.126378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:08.017573Z digest=sha256:5df369595f5bcaa100e7cb8610a7a100c59211a4f8c6a07cdae8711a87738ec6

Observation 563e42db-03ec-4cd0-b42e-d74bcd01227b · outbound

This paper cites Fomin, C.

Hybrid Grothendieck polynomials Fomin, C

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:17.010798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:08.095999Z digest=sha256:b8678d9b3163599bc6dbf8c64f9f19f58d01cec543829a24f360fe370602e79b

Observation 1fb6e32f-9f35-46a4-82de-06f684316e7e · outbound

This paper cites Galashin, A Littlewood–Richardson rule for dual stable Grothendieck poly- nomials, J.

Hybrid Grothendieck polynomials Galashin, A Littlewood–Richardson rule for dual stable Grothendieck poly- nomials, J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:16.921587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:08.210623Z digest=sha256:fe2253048d99539479561c9d13541ffd8c3d9e6e3b282fa3982f4aab423764e1

Observation 1e81e867-d56d-4380-a9af-2fdfe45c3121 · outbound

This paper cites Galashin, D.

Hybrid Grothendieck polynomials Galashin, D

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:16.805667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:08.316010Z digest=sha256:99ccd60c12d0570553d2a842cac369c7f9fcc8165589935f4f7373aef0f2d73d

Observation dc07286a-dffb-44b5-a9a9-2f0e722253ac · outbound

This paper cites Gunna, P.

Hybrid Grothendieck polynomials Gunna, P

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:16.688282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:08.395125Z digest=sha256:76f5b3d7acc2812de8a1264cdcea8b99d1cfabe277e24008836f7d14fd5e64ab

Observation ebe4350a-58bc-454d-a4cf-ced28ce62774 · outbound

This paper cites Huh, J.P.

Hybrid Grothendieck polynomials Huh, J.P

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:16.581744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:08.476840Z digest=sha256:85f1eac1ebafe973c8dc7e022616233d9bf9bddbbde337f549511c153c0ab9ce

Observation c725cbe0-9eb9-48d9-aeab-cab919cefa63 · outbound

This paper cites Hwang, J.

Hybrid Grothendieck polynomials Hwang, J

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:16.487404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:08.569628Z digest=sha256:25bc33de1668947d49004f79da1c3d3ae8f34ce31aa98817ddc091babab7b55f

Observation b02473ad-efa2-43a0-857f-766aa7de665c · outbound

This paper cites Ikeda, H.

Hybrid Grothendieck polynomials Ikeda, H

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:16.410070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:08.654453Z digest=sha256:3d1b065eb2a4cfe349e086027d927df061bc69301aca44b0c8b34a2feb6146e4

Observation 612eab7b-24c8-47e1-9548-1a0ac8d0da08 · outbound

This paper cites Ikeda, T.

Hybrid Grothendieck polynomials Ikeda, T

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:16.304194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:08.733044Z digest=sha256:3984688b61ffe7dbf7f7c1d0a494f18cab9a0ec0a5577ab7049efb3bdf0e00ff

Observation 5da0cf64-18fd-4a89-b58d-ece7586bf625 · outbound

This paper cites Iwao, Grothendieck polynomials and the boson-fermion correspondence, Al- gebr.

Hybrid Grothendieck polynomials Iwao, Grothendieck polynomials and the boson-fermion correspondence, Al- gebr

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:16.229323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:08.824444Z digest=sha256:a41798209f240086a2100c15bb3e5d4dbe8ab0ec0d876bf971a2ac1019836d41

Observation 0022a4d0-ade4-45c3-9402-d187e115762a · outbound

This paper cites Towards equivalent thickened ribbon Schur functions.

Hybrid Grothendieck polynomials Towards equivalent thickened ribbon Schur functions

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-07T14:27:08.924799Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:27:08.924799Z digest=sha256:7044a166cb05b51cd2d9476b60ef4c8bd690799343216a8f4fb924358d516f1b

Observation 50a829da-a6c0-44ca-8faf-eb439d4342e2 · outbound

This paper cites Iwao, Free-fermions and skew stable Grothendieck polynomials, J.

Hybrid Grothendieck polynomials Iwao, Free-fermions and skew stable Grothendieck polynomials, J

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:16.142108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:09.003518Z digest=sha256:698e1038ba57cc1522b011241fd11dc58c4eef8acd29a49a9e5767fcf8d84aff

Observation 93b8063f-4872-444f-9685-8c1c2dd4b7f2 · outbound

This paper cites Kashiwara, Crystalizing the q-analogue of universal enveloping algebras, Comm.

Hybrid Grothendieck polynomials Kashiwara, Crystalizing the q-analogue of universal enveloping algebras, Comm

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:16.074138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:09.106045Z digest=sha256:a55d9d1b9e73fe9c48e7d417f9a4bc8a0a073639a1dbc74bd5929446b286d68d

Observation b5e90056-6b72-49d8-887e-6761b4a384b5 · outbound

This paper cites Kashiwara, On crystal bases of the q-analogue of universal enveloping alge- bras, Duke Math.

Hybrid Grothendieck polynomials Kashiwara, On crystal bases of the q-analogue of universal enveloping alge- bras, Duke Math

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:15.830882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:09.149317Z digest=sha256:1a059280972bea688fcb219c6f794d25f0f67857875ed6815ccbd15611b22956

Observation 1d4c4874-6ea1-4906-9399-3ded069a13e0 · outbound

This paper cites Kim, Jacobi-Trudi formula for refined dual stable Grothendieck polynomi- als, J.

Hybrid Grothendieck polynomials Kim, Jacobi-Trudi formula for refined dual stable Grothendieck polynomi- als, J

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:15.564327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:09.189640Z digest=sha256:921420414e032ee12859fd1207a2a5edf25189ae8e6fcf955267b83c7e76eadc

Observation 37fa348a-46cf-4fca-9467-5cb22bfc7aec · outbound

This paper cites Kundu, Demazure crystal structure for flagged reverse plane partitions, Proc.

Hybrid Grothendieck polynomials Kundu, Demazure crystal structure for flagged reverse plane partitions, Proc

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:15.299072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:09.296560Z digest=sha256:83702d6e692449fabb4b126601321c6ebd3fce986c39b3313d8d8a5d7f9ddf87

Observation 5ee6d191-8b1f-4766-9c41-5dd3bdb1c58c · outbound

This paper cites Kundu, Key expansion of the flagged refined skew stable Grothendieck poly- nomial, arXiv:2408.17375, 2024.

Hybrid Grothendieck polynomials Kundu, Key expansion of the flagged refined skew stable Grothendieck poly- nomial, arXiv:2408.17375, 2024

Reference 33

Resolution
verified exact
raw_fallback, observed 2026-08-07T14:27:11.281554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:09.343996Z digest=sha256:bf9c6c87450781924d589888da95d3fb926b99e56eb31fb46df51239eb882c78

Observation d2e17b1f-ffd8-46e8-a044-cc37b11bcc0e · outbound

This paper cites an unresolved cited work.

Hybrid Grothendieck polynomials Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:27:15.000752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:09.389704Z digest=sha256:2fa452eb3b20d8851ee94985b70ea13310c81e5776a6e89a637513ff20ba1c61

Observation bcbbaee3-15f8-4608-9e3b-23476661420b · outbound

This paper cites Lascoux, H.

Hybrid Grothendieck polynomials Lascoux, H

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:14.713957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:09.440498Z digest=sha256:5194a6f31da33d24b14972e59e0ce1d34686af24c95aa2f75fca8d250e56ced3

Observation 897b1094-0c01-47ca-ad9c-b830f3425555 · outbound

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

Hybrid Grothendieck polynomials Lenart, Combinatorial aspects of the K-theory of Grassmannians, Ann

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:14.451349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:09.479143Z digest=sha256:0e055447900c1c2c1cc3c6eab3b519bbbf11cfc2de0e1f1dcca7f9fc0a829c75

Observation 0b5d2877-e316-40c0-911e-77d234282634 · outbound

This paper cites an unresolved cited work.

Hybrid Grothendieck polynomials Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:27:14.169364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:09.524213Z digest=sha256:f38e115856e9f63587fc36e30e73dc3ad466222e216ee254448c62d5c2a85d89

Observation e719af2b-4a40-4226-a7c7-1dc1ca362a4d · outbound

This paper cites Grothendieck positivity for normal square root crystals.

Hybrid Grothendieck polynomials Grothendieck positivity for normal square root crystals

Reference 38

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:27:11.073587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:09.625833Z digest=sha256:27d3a4331c7c6543dbd75dc94042c95c4373cac051aa7ac87c1b40cdace5aaf6

Observation 2d9bd9f9-c232-4614-81f7-9a84ed99d626 · outbound

This paper cites Matherne, A.H.

Hybrid Grothendieck polynomials Matherne, A.H

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:14.033712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:09.663590Z digest=sha256:e9fb408be81a5a1c746a800d7c45cc379bd16d8d109c8f887add7efbb8615f88

Observation 09dbe352-801f-4810-9bc0-71249830a236 · outbound

This paper cites Matsumura, An algebraic proof of determinant formulas of Grothendieck polynomials, Proc.

Hybrid Grothendieck polynomials Matsumura, An algebraic proof of determinant formulas of Grothendieck polynomials, Proc

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:13.881675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:09.700078Z digest=sha256:109558eb31d9eda663a55706bb7ffadeddf14af05c9b6dc589f277cb92edcd41

Observation 21ff39ca-6a7e-436a-b399-1e90346e9581 · outbound

This paper cites Matsumura, Flagged Grothendieck polynomials, J.

Hybrid Grothendieck polynomials Matsumura, Flagged Grothendieck polynomials, J

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:13.730646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:09.765593Z digest=sha256:70c10fa54392850126eac5cc42c2a7127476a2d702822b20b776f488b1098d6d

Observation 4b9c017f-cb09-48a1-9dbf-67d061927fed · outbound

This paper cites an unresolved cited work.

Hybrid Grothendieck polynomials Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:27:13.561217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:09.864559Z digest=sha256:580351e81505898bccbba50f64f72641fd39b0538f340c495ccd3aa6c70d5986

Observation b24ce349-8b86-4b62-84ea-e42123564609 · outbound

This paper cites McNamara, S.

Hybrid Grothendieck polynomials McNamara, S

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:13.330911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:09.933310Z digest=sha256:35c0b27aeca997827f1a00da47a13580a188ef4bb4e702c5087e2eba6e9f8510

Observation adcb6717-1777-4c06-b9f3-c9ea1ff817b1 · outbound

This paper cites M´ esz´ aros, L.

Hybrid Grothendieck polynomials M´ esz´ aros, L

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-07T14:27:10.032899Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:27:10.032899Z digest=sha256:36cad0cc40ca9764705b6547a1330843f66559270e374857c8f3b4617a838dc7

Observation 69dad573-609d-44b1-9099-d394c5808895 · outbound

This paper cites Monical, O.

Hybrid Grothendieck polynomials Monical, O

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:13.121878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:10.096399Z digest=sha256:2b3dd9547e9af127d03102c770bddd763bc6cd693693e37098ae51fe723d5988

Observation 77c6e5c0-800c-4b30-a215-67c676123d6a · outbound

This paper cites Monical, N.

Hybrid Grothendieck polynomials Monical, N

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:12.928915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:10.172343Z digest=sha256:15ecfea48f4e8a93e4632169bfa3c837b509994249a3eebb84b62b5b7db12f49

Observation f639cf91-f592-4381-bb14-d75744cf5b55 · outbound

This paper cites Motegi, T.

Hybrid Grothendieck polynomials Motegi, T

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:12.719642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:10.269848Z digest=sha256:ac4f13205444b2c486bbaf33a14f5b72dcff205ecf22fec6c6a58b71527a6b3a

Observation 38f10d5f-683c-4af1-9503-97ece1583234 · outbound

This paper cites Nguyen, G.N.T.

Hybrid Grothendieck polynomials Nguyen, G.N.T

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:12.536278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:10.347731Z digest=sha256:2dcbf2bff9d19c4680b4ead8bf1cd3df572adddb48731d29e528883ae67c2361

Observation caf2637d-6bb9-47cb-a701-d1b9eacf7185 · outbound

This paper cites an unresolved cited work.

Hybrid Grothendieck polynomials Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:27:12.340344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:10.404036Z digest=sha256:a6cbc75f66326a5ccad0fc8352af537c1adb2c273e63eadb32ffe5697d006101

Observation 79e9eda6-0abb-40a5-8dfb-68bfc816e7f7 · outbound

This paper cites Rajchgot, Y.

Hybrid Grothendieck polynomials Rajchgot, Y

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:12.190226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:10.507765Z digest=sha256:aca3ff6d66ae8463a101dfc09af60690ca0e6328f9c1c4d26cf06504a7fe0e0b

Observation 80a4be2e-786a-4a7d-9807-8c13559cfa0e · outbound

This paper cites Reiner, K.

Hybrid Grothendieck polynomials Reiner, K

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:12.030243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:10.563074Z digest=sha256:3fe69e4435810b023e291b9574d73005634ac5dff07b1d765afd39b15323fa91

Observation 34e2674c-e8bb-4f8d-8e44-66cb4f3719a0 · outbound

This paper cites Wheeler, P.

Hybrid Grothendieck polynomials Wheeler, P

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:11.905065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:10.652807Z digest=sha256:7240514a597afb864e6fb2ec75d047a8b75ead7eaa9f69bb3cc09af4944158cd

Observation 223a9270-a9fb-490f-965b-5400f335e42a · outbound

This paper cites Yeliussizov, Duality and deformations of stable Grothendieck polynomials, J.

Hybrid Grothendieck polynomials Yeliussizov, Duality and deformations of stable Grothendieck polynomials, J

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:11.779862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:10.728002Z digest=sha256:f92a22fb83faa25d4640155c0009fd42d1fd5fcebe7dbfc46687bd6338e8f264

Observation 2e063dae-c53b-4a91-915a-921973a63000 · outbound

This paper cites Yeliussizov, Symmetric Grothendieck polynomials, skew Cauchy identities, and dual filtered Young graphs, J.

Hybrid Grothendieck polynomials Yeliussizov, Symmetric Grothendieck polynomials, skew Cauchy identities, and dual filtered Young graphs, J

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:11.616960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:10.796253Z digest=sha256:6be5d1613cd908c126852b19564ccb4e049747ea7148e9af4dfe6c89da5a6b28

Observation 81ee7bc0-daff-4632-8350-aba403410c60 · outbound

This paper cites Yu, Private communications, 2025.

Hybrid Grothendieck polynomials Yu, Private communications, 2025

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:27:11.455177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T14:27:10.870944Z digest=sha256:961bde05ac0d458c9de64c30e0506b9815e42311b7bbf9cf150d9da8f5c5802b

Pith citing papers

Observation 5df35ce7-53ab-45c4-af75-1045f9d85eff · inbound

A Lam--Postnikov--Pylyavskyy inequality for hybrid Grothendieck polynomials cites this paper.

A Lam--Postnikov--Pylyavskyy inequality for hybrid Grothendieck polynomials Hybrid Grothendieck polynomials

Reference 13

Resolution
unresolved
no resolver link, observed 2026-07-12T04:46:58.737710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T04:46:58.737710Z digest=sha256:5c615e708f4c1845a1facc7dbd096f060b1af7b587692ec87db81d51087f9639