Pith. sign in

Paper Citation Record · LEDGER

Hybrid Grothendieck polynomials

As of 15 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 2026-08-15T06:32:42.880941+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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:06.425000Z digest=sha256:885a6f8a6833b21923c33a8f21fe552d5557344ff895a417880a6ec4a5e8b9da

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:06.536549Z digest=sha256:eeb916149817cef6bcf1537e5eda2b6dff853a8c7d38f2b3dbee66bfe30af635

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:06.613970Z digest=sha256:54e6f1f6bc787e0e324cd9a5e21c88abe94956fb79d49f8c835179d3c2d4c901

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:06.743084Z digest=sha256:b1329568f36321431b7e57875ff6dec6a5417adaf9d399f130a83200f5aba1ff

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:06.847753Z digest=sha256:fe96e94ca64d9244d443fe730295b01b8f6300c43eef43242973b2c688d3fbd5

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:06.961272Z digest=sha256:51cc2d95c32556ec2193f62b252802d46c3b011e178f3478c4bce4e15c8ddce4

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:07.069400Z digest=sha256:fe30a47a59824d4a0f276fcbdf9a0d1072f4288c6d0bba1723096e53fa55c62a

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:07.158109Z digest=sha256:3331cf02a32826489278829d67450f157220d8def0e96497ea687d531b7121ea

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:07.245063Z digest=sha256:3675e5006166400a8339ecc09202111d9f50dc70c1790b8c2368dafbde98dd68

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:07.297646Z digest=sha256:7ec313ae491d95e30c944ba4e58bf1f8d1862144b26a3ff58ae88fd95c21fe0e

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:b6ccfd8cd59863088a8d3449a6ef41c96a61d84e16cee295c34113d074760b6d

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:07.558587Z digest=sha256:fd253bd24ac0f67c5650dac289723cae06f82f35d6a890670161bf0da8a1f0b2

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:07.638041Z digest=sha256:db90340a63e6e3b3255cc71a97e05823100e0e5149abf11108a789ff7a2c55ee

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:07.754625Z digest=sha256:08a72db779b7bf51efd73f6201376e54a96e5d9721600f484cd290d9560628fd

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:07.872276Z digest=sha256:f8f4a69cd2f7edbf5cd4e22a0f517ed22fac3ed990f9ccc8e44fdbd42c4aa9ac

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:07.962642Z digest=sha256:0d49aff30ac5e670620e85138a43b226883c17d7ad1247db195d48901210cbdc

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:08.017573Z digest=sha256:4f342a375abbcc30488e04fef69e1aaa0dbb0d490cf5b9d4186b91d9c8a57f67

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:08.095999Z digest=sha256:efdf6b0b7ee2ea86efed032ba8cc415ff665111673f7a0cf64ae7aa17b628ef6

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:08.210623Z digest=sha256:a0bcdbeaeb6cf532bb65c3c716b531e8f98b21b6bf82fc3c3373146ec6541ca7

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:08.316010Z digest=sha256:7b3990a05f4e94fc0d3a59a13b3a4451024f6500b4345d8ec04e6e6dec852b90

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:08.395125Z digest=sha256:cf22d8ab67d1e7991d580f4e7a2f7a4adb269f052191a587f60c39f8ca3de31e

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:08.476840Z digest=sha256:eb6561f7450274697e3e495be2ea8d1018bc78cb2c97b9a3d9a1e229725e8c5e

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:08.569628Z digest=sha256:c6130283adf49bfd60f8549b44176aa018c545b5b1a1b2484db6c4329c5d447c

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:08.654453Z digest=sha256:1316c7710781f9d4105d142bbd313fffe7de86b84fdfe15f5fefc245893c2ad8

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:08.733044Z digest=sha256:728f4cebe8036cabc2fa9dc374b06ac98a8691318cbea348c60602a8f4cc6934

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:08.824444Z digest=sha256:2527b1aa548d331b76a9f7b2e876d27818a572012a3541f67e883642111e922e

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=sha256:58fb6e6c99dedcf517417024b222d12ffa36cc4a514dfec28b68b3fff5a90f48

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:09.003518Z digest=sha256:22d2672cc53f39b2c87f18123f537f3f5b5e283260df1be7f5fb5c2ae81bba4a

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:09.106045Z digest=sha256:aa3d3fd0efdab167ecc706b664d915035442e489b4f7610ed72a7e5cc4807284

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:09.149317Z digest=sha256:d5f1e0cee5f9127b12824d6b37ae20e2ec1e69ebd73e34d933891c88ce41ed88

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:09.189640Z digest=sha256:793fe7a7b5d16d8385c74783fa5554a3736af8e1a4b1f5f203a7ed6e21601c0d

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:09.296560Z digest=sha256:0c97b00c52fc1234b85bbb568e63632024deab5ba2a918ac0905aaece893f5a7

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:09.343996Z digest=sha256:763f749d3b83d04f88c6c056d4a2f2505ed14279b4cdd9b03fe6a36507061854

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:09.389704Z digest=sha256:e66c735f48740e51649700b043d197d6ffd6e0db247f2903eca54d4d3b0e29d2

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:09.440498Z digest=sha256:8ad1609584fcce56808fc2f1eb26f07fd11d0b088cba02aef24597f90a150fdc

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:09.479143Z digest=sha256:c16657f4f4e618468646c63a3f1ea136f2de8d2b27575f47813c64457d65cf6a

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:09.524213Z digest=sha256:2b0df52ee7c1bc4ee045de14d012b1683669d3687e5a0a94eb816a070f4d0064

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:09.625833Z digest=sha256:1867c8e243b1668eef5d705d9cc06f0053f1487605a709d585473c23d4fb4299

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:09.663590Z digest=sha256:eb4b27e0ef6445ca26d0ca1bc777a79b0444e2f06534cac68787b0d6ffbebbf0

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:09.700078Z digest=sha256:355a0b16b5363565818f42e7f72a6657b0fc91cec0015b9a49930cc98fa0eee6

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:09.765593Z digest=sha256:0f0563c932faed51ea405e9f39ec093e9431a032f0e29bf73e6480dfee29a699

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:09.864559Z digest=sha256:fa1765e5a2cfe52eba57dbcd47ccbc51d01745f9316aac1c89887481f08a0ee8

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:09.933310Z digest=sha256:f151c5b46a4c1757a781b5ae63e9f735540bd866f9b616bf5d03b51c98b7f175

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=sha256:78d79414d1a2a598943d9b83efde00b0ca7c6d44a2e8c398e5878aaf69a82e46

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:10.096399Z digest=sha256:deae7c6e9948c29012a96b42de3f09ffa788e9066ed69d37fc0e09351bc09962

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:10.172343Z digest=sha256:88d10696ac3cac2d8d7dc934928516e8baabf7e26cf1352d4f354ad9da911b31

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:10.269848Z digest=sha256:48cab6e5cd218ef24bd30e8954b957e090629e6525e5ccdaec465330456ddafd

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:10.347731Z digest=sha256:20fa0fc13de1799d341d5ce1808903d40913341d8730a12805077dd38cf43341

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:10.404036Z digest=sha256:6998053fe08179d2e6385b34048b62390b9445d6af5405cc187c435ab2a61742

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:10.507765Z digest=sha256:129c4a3b5c9a17656df62d7415311ab62634a874b0b8c7ab720c510cc41fa12a

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:10.563074Z digest=sha256:fd8bc2900af3d0a8ac62f68125ef845fe5761338eb233d779788e8960e40b2a7

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:10.652807Z digest=sha256:85f482c5c10702db6c89622ba444f4fc0382adc627cc66eebede956d19c41b6b

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:10.728002Z digest=sha256:a3a4f02a0c93a756cf30a62bf5700385675dbf5012f9365fdcd364b5bc6892d1

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:10.796253Z digest=sha256:233fbe8ba47477843e67e99a0c8580a53bc5f7fffd804e3ee8fd98697d1cf188

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T14:27:10.870944Z digest=sha256:66c8f567f12af40facdf7bdf62fe79755ee2bcb98542d4ea684f0d3806200373

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=sha256:85bae0fe15f96264a7553e875467cd4e0d3c9a955c19ff9c22446fbfb5185599