Paper Citation Record · LEDGER

$K$-theoretic Hall algebras and Coulomb branches

As of 13 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2605.19487.

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

pith.paper-citation-record.v1
2605.19487 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-20T02:30:23.467632Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-30T19:32:25.229991Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

17 of 17 outbound references displayed

verified exact6
verified fuzzy11
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 13c7e905-0ddd-42d7-8c3e-450c5684adb5 · outbound

This paper cites TheCoulomb branch of 3dN= 4theories.

$K$-theoretic Hall algebras and Coulomb branches TheCoulomb branch of 3dN= 4theories

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T02:33:00.067910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0f428233-0e26-409f-aee8-baa30e41121d · outbound

This paper cites Quantizations of conical symplectic resolutions II: categoryOand symplectic duality.

$K$-theoretic Hall algebras and Coulomb branches Quantizations of conical symplectic resolutions II: categoryOand symplectic duality

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T02:33:00.075836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 56262988-8189-4525-9fd8-f156648a0a6f · outbound

This paper cites The integrality conjecture and the cohomology of pre- projective stacks.

$K$-theoretic Hall algebras and Coulomb branches The integrality conjecture and the cohomology of pre- projective stacks

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T02:33:00.071807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 40bf696c-3991-4567-9921-7d5855555b02 · outbound

This paper cites Coherent analogues of matrix factorizations and relative singularity categories.

$K$-theoretic Hall algebras and Coulomb branches Coherent analogues of matrix factorizations and relative singularity categories

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-05-20T02:32:59.287747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 44f08b92-6a0d-4026-abee-4a54bf5678c7 · outbound

This paper cites Yan- gians and quantizations of slices in the affine Grassmannian.

$K$-theoretic Hall algebras and Coulomb branches Yan- gians and quantizations of slices in the affine Grassmannian

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-05-20T02:32:59.297567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7635bdda-feab-4103-999d-749a502cb945 · outbound

This paper cites Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invari- ants.

$K$-theoretic Hall algebras and Coulomb branches Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invari- ants

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T02:33:00.064736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2037f2ff-78d8-4e3f-b74b-710f5c89d155 · outbound

This paper cites Towards a mathematical definition of Coulomb branches of 3-dimensionalN= 4gauge theories, I.

$K$-theoretic Hall algebras and Coulomb branches Towards a mathematical definition of Coulomb branches of 3-dimensionalN= 4gauge theories, I

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T02:33:00.060666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e22fe7ab-20a7-46cd-ab66-dc7fdc3816a6 · outbound

This paper cites Generators for Hall algebras of surfaces.

$K$-theoretic Hall algebras and Coulomb branches Generators for Hall algebras of surfaces

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T02:33:00.056571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c2cb5e2b-7b2a-419f-a377-3c048aacc17a · outbound

This paper cites Categorical and K-theoretic Donaldson-Thomas theory ofC3 (part II).

$K$-theoretic Hall algebras and Coulomb branches Categorical and K-theoretic Donaldson-Thomas theory ofC3 (part II)

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T02:33:00.052525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 183d0c18-44e7-4108-a155-2554b629d70b · outbound

This paper cites Categorical and K-theoretic Donaldson-Thomas theory ofC 3 (Part I).

$K$-theoretic Hall algebras and Coulomb branches Categorical and K-theoretic Donaldson-Thomas theory ofC 3 (Part I)

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T02:33:00.047164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9a3f1009-117b-487b-a495-1089e4f6a1a5 · outbound

This paper cites The elliptic Hall algebra and theK-theory of the Hilbert scheme ofA 2.

$K$-theoretic Hall algebras and Coulomb branches The elliptic Hall algebra and theK-theory of the Hilbert scheme ofA 2

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-05-20T02:32:59.302994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 256ddcaf-3a81-4664-8f7c-0c0bc9fd022f · outbound

This paper cites PBWD bases and shuffle algebra realizations forU v(Lsln), Uv1,v2(Lsln), Uv(Lsl(m|n))and their integral forms.

$K$-theoretic Hall algebras and Coulomb branches PBWD bases and shuffle algebra realizations forU v(Lsln), Uv1,v2(Lsln), Uv(Lsl(m|n))and their integral forms

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T02:33:00.042375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 60b8fea8-3f8f-46ce-b25d-947f2e680698 · outbound

This paper cites Difference operators via GKLO-type homo- morphisms: shuffle approach and application to quantumQ-systems.

$K$-theoretic Hall algebras and Coulomb branches Difference operators via GKLO-type homo- morphisms: shuffle approach and application to quantumQ-systems

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T02:33:00.037252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 49d4336e-002c-4a6b-b3f6-fee3138cdf6a · outbound

This paper cites K-theoretic Hall algebras, quan- tum groups and super quantum groups.

$K$-theoretic Hall algebras and Coulomb branches K-theoretic Hall algebras, quan- tum groups and super quantum groups

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T02:33:00.020268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bf9726a6-1520-4ea7-9b71-ed8b82f510db · outbound

This paper cites Quantum loop groups and critical convolution algebras.

$K$-theoretic Hall algebras and Coulomb branches Quantum loop groups and critical convolution algebras

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-20T02:32:59.282563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2b6952c2-0bd8-443e-a87f-c8f83053752e · outbound

This paper cites Generators for Coulomb branches of quiver gauge theories.

$K$-theoretic Hall algebras and Coulomb branches Generators for Coulomb branches of quiver gauge theories

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-05-20T02:32:59.292543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 35a21a6e-33e0-48dc-8181-869a01ea71c7 · outbound

This paper cites The Wheel Conditions and K-theoretic Hall Algebras.

$K$-theoretic Hall algebras and Coulomb branches The Wheel Conditions and K-theoretic Hall Algebras

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-06-10T02:11:06.991389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

Observation b1521590-7df6-4bd3-9938-c09e4f823a78 · inbound

The loop-nilpotent cohomological Hall algebra cites this paper.

The loop-nilpotent cohomological Hall algebra $K$-theoretic Hall algebras and Coulomb branches

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-30T19:32:25.229991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.