Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T14:27:10.870944Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T14:27:10.870944Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-12T04:46:58.737710Z
A source-named dated measurement, never combined with another source.
Source: cited_works
55 of 55 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation ce9b1462-f86c-49d1-8690-4ca61cc6df1e · outbound
Hybrid Grothendieck polynomials Abney-McPeek, S
Reference 1
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.
Observation b1bf98b2-a790-4225-a900-19a592c8b61f · outbound
Hybrid Grothendieck polynomials Aggarwal, A
Reference 2
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.
Observation 8dd5c200-26d7-4056-8c72-ea1aef047208 · outbound
Hybrid Grothendieck polynomials Alwaise, S
Reference 3
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.
Observation d08a9a2c-2eb2-4f87-9045-c9c6d22e78f6 · outbound
Hybrid Grothendieck polynomials Amanov, D
Reference 4
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.
Observation f4619733-cb0f-4eea-93c4-52ba4de92039 · outbound
Hybrid Grothendieck polynomials Bandlow, J
Reference 5
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.
Observation baec3832-8fd5-414c-a472-ecb55eab4598 · outbound
Hybrid Grothendieck polynomials Besson, S
Reference 6
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.
Observation 1e93006b-14ce-466a-9635-ba8dee0d2142 · outbound
Hybrid Grothendieck polynomials Unresolved cited work
Reference 7
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.
Observation b326f817-0769-4190-99d6-2039c9102a3f · outbound
Hybrid Grothendieck polynomials Buch, A Littlewood-Richardson rule for the K-theory of Grassmannians, Acta Math
Reference 8
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.
Observation 817c720b-e8e1-4912-b7cb-23530f1e3ebf · outbound
Hybrid Grothendieck polynomials Buciumas, T
Reference 9
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.
Observation 2451ef02-8383-40ea-887b-044d46864768 · outbound
Hybrid Grothendieck polynomials Unresolved cited work
Reference 10
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.
Observation 8b09bd54-5e9e-4856-8d11-261a84698307 · outbound
Hybrid Grothendieck polynomials K-polynomials of multiplicity-free varieties
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aaa27813-ced3-4114-ab9b-203fc8a92787 · outbound
Hybrid Grothendieck polynomials Castillo, Y
Reference 12
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.
Observation 51505e08-d43c-4e9d-b1c7-1bda7721c288 · outbound
Hybrid Grothendieck polynomials Unresolved cited work
Reference 13
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.
Observation 8f7442bc-27ef-4c91-a7e4-8970a61fc9c3 · outbound
Hybrid Grothendieck polynomials Escobar, A
Reference 14
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.
Observation 4079e953-2d30-45f4-884a-5af47a21be30 · outbound
Hybrid Grothendieck polynomials Fan, P.L
Reference 15
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.
Observation dc21ec44-5655-4469-bee2-6ad793bb7f23 · outbound
Hybrid Grothendieck polynomials Unresolved cited work
Reference 16
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.
Observation 5f5c62c3-dfa8-42a9-886d-1fabdf9749a4 · outbound
Hybrid Grothendieck polynomials Fomin, Schur operators and Knuth correspondences, J
Reference 17
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.
Observation 563e42db-03ec-4cd0-b42e-d74bcd01227b · outbound
Hybrid Grothendieck polynomials Fomin, C
Reference 18
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.
Observation 1fb6e32f-9f35-46a4-82de-06f684316e7e · outbound
Hybrid Grothendieck polynomials Galashin, A Littlewood–Richardson rule for dual stable Grothendieck poly- nomials, J
Reference 19
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.
Observation 1e81e867-d56d-4380-a9af-2fdfe45c3121 · outbound
Hybrid Grothendieck polynomials Galashin, D
Reference 20
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.
Observation dc07286a-dffb-44b5-a9a9-2f0e722253ac · outbound
Hybrid Grothendieck polynomials Gunna, P
Reference 21
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.
Observation ebe4350a-58bc-454d-a4cf-ced28ce62774 · outbound
Hybrid Grothendieck polynomials Huh, J.P
Reference 22
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.
Observation c725cbe0-9eb9-48d9-aeab-cab919cefa63 · outbound
Hybrid Grothendieck polynomials Hwang, J
Reference 23
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.
Observation b02473ad-efa2-43a0-857f-766aa7de665c · outbound
Hybrid Grothendieck polynomials Ikeda, H
Reference 24
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.
Observation 612eab7b-24c8-47e1-9548-1a0ac8d0da08 · outbound
Hybrid Grothendieck polynomials Ikeda, T
Reference 25
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.
Observation 5da0cf64-18fd-4a89-b58d-ece7586bf625 · outbound
Hybrid Grothendieck polynomials Iwao, Grothendieck polynomials and the boson-fermion correspondence, Al- gebr
Reference 26
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.
Observation 0022a4d0-ade4-45c3-9402-d187e115762a · outbound
Hybrid Grothendieck polynomials Towards equivalent thickened ribbon Schur functions
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 50a829da-a6c0-44ca-8faf-eb439d4342e2 · outbound
Hybrid Grothendieck polynomials Iwao, Free-fermions and skew stable Grothendieck polynomials, J
Reference 28
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.
Observation 93b8063f-4872-444f-9685-8c1c2dd4b7f2 · outbound
Hybrid Grothendieck polynomials Kashiwara, Crystalizing the q-analogue of universal enveloping algebras, Comm
Reference 29
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.
Observation b5e90056-6b72-49d8-887e-6761b4a384b5 · outbound
Hybrid Grothendieck polynomials Kashiwara, On crystal bases of the q-analogue of universal enveloping alge- bras, Duke Math
Reference 30
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.
Observation 1d4c4874-6ea1-4906-9399-3ded069a13e0 · outbound
Hybrid Grothendieck polynomials Kim, Jacobi-Trudi formula for refined dual stable Grothendieck polynomi- als, J
Reference 31
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.
Observation 37fa348a-46cf-4fca-9467-5cb22bfc7aec · outbound
Hybrid Grothendieck polynomials Kundu, Demazure crystal structure for flagged reverse plane partitions, Proc
Reference 32
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.
Observation 5ee6d191-8b1f-4766-9c41-5dd3bdb1c58c · outbound
Hybrid Grothendieck polynomials Kundu, Key expansion of the flagged refined skew stable Grothendieck poly- nomial, arXiv:2408.17375, 2024
Reference 33
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.
Observation d2e17b1f-ffd8-46e8-a044-cc37b11bcc0e · outbound
Hybrid Grothendieck polynomials Unresolved cited work
Reference 34
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.
Observation bcbbaee3-15f8-4608-9e3b-23476661420b · outbound
Hybrid Grothendieck polynomials Lascoux, H
Reference 35
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.
Observation 897b1094-0c01-47ca-ad9c-b830f3425555 · outbound
Hybrid Grothendieck polynomials Lenart, Combinatorial aspects of the K-theory of Grassmannians, Ann
Reference 36
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.
Observation 0b5d2877-e316-40c0-911e-77d234282634 · outbound
Hybrid Grothendieck polynomials Unresolved cited work
Reference 37
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.
Observation e719af2b-4a40-4226-a7c7-1dc1ca362a4d · outbound
Hybrid Grothendieck polynomials Grothendieck positivity for normal square root crystals
Reference 38
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.
Observation 2d9bd9f9-c232-4614-81f7-9a84ed99d626 · outbound
Hybrid Grothendieck polynomials Matherne, A.H
Reference 39
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.
Observation 09dbe352-801f-4810-9bc0-71249830a236 · outbound
Hybrid Grothendieck polynomials Matsumura, An algebraic proof of determinant formulas of Grothendieck polynomials, Proc
Reference 40
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.
Observation 21ff39ca-6a7e-436a-b399-1e90346e9581 · outbound
Hybrid Grothendieck polynomials Matsumura, Flagged Grothendieck polynomials, J
Reference 41
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.
Observation 4b9c017f-cb09-48a1-9dbf-67d061927fed · outbound
Hybrid Grothendieck polynomials Unresolved cited work
Reference 42
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.
Observation b24ce349-8b86-4b62-84ea-e42123564609 · outbound
Hybrid Grothendieck polynomials McNamara, S
Reference 43
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.
Observation adcb6717-1777-4c06-b9f3-c9ea1ff817b1 · outbound
Hybrid Grothendieck polynomials M´ esz´ aros, L
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 69dad573-609d-44b1-9099-d394c5808895 · outbound
Hybrid Grothendieck polynomials Monical, O
Reference 45
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.
Observation 77c6e5c0-800c-4b30-a215-67c676123d6a · outbound
Hybrid Grothendieck polynomials Monical, N
Reference 46
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.
Observation f639cf91-f592-4381-bb14-d75744cf5b55 · outbound
Hybrid Grothendieck polynomials Motegi, T
Reference 47
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.
Observation 38f10d5f-683c-4af1-9503-97ece1583234 · outbound
Hybrid Grothendieck polynomials Nguyen, G.N.T
Reference 48
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.
Observation caf2637d-6bb9-47cb-a701-d1b9eacf7185 · outbound
Hybrid Grothendieck polynomials Unresolved cited work
Reference 49
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.
Observation 79e9eda6-0abb-40a5-8dfb-68bfc816e7f7 · outbound
Hybrid Grothendieck polynomials Rajchgot, Y
Reference 50
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.
Observation 80a4be2e-786a-4a7d-9807-8c13559cfa0e · outbound
Hybrid Grothendieck polynomials Reiner, K
Reference 51
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.
Observation 34e2674c-e8bb-4f8d-8e44-66cb4f3719a0 · outbound
Hybrid Grothendieck polynomials Wheeler, P
Reference 52
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.
Observation 223a9270-a9fb-490f-965b-5400f335e42a · outbound
Hybrid Grothendieck polynomials Yeliussizov, Duality and deformations of stable Grothendieck polynomials, J
Reference 53
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.
Observation 2e063dae-c53b-4a91-915a-921973a63000 · outbound
Hybrid Grothendieck polynomials Yeliussizov, Symmetric Grothendieck polynomials, skew Cauchy identities, and dual filtered Young graphs, J
Reference 54
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.
Observation 81ee7bc0-daff-4632-8350-aba403410c60 · outbound
Hybrid Grothendieck polynomials Yu, Private communications, 2025
Reference 55
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.
Observation 5df35ce7-53ab-45c4-af75-1045f9d85eff · inbound
A Lam--Postnikov--Pylyavskyy inequality for hybrid Grothendieck polynomials Hybrid Grothendieck polynomials
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.