Pith. sign in

Paper Citation Record · LEDGER

On The Ellipticity of Generalised Monge-Amp\`ere Equations on Vector Bundles

As of 11 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2604.21273.

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

pith.paper-citation-record.v1
2604.21273 v2

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-21T00:13:51.318746Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T18:02:25.718990Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

13 of 13 outbound references displayed

  • verified exact0
  • verified fuzzy10
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2bc02c8a-68a1-44e6-b9f3-4281d9959fca · outbound

This paper cites Ballal and Vamsi P.

On The Ellipticity of Generalised Monge-Amp\`ere Equations on Vector Bundles Ballal and Vamsi P

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T00:14:17.008738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T00:13:51.318746Z digest=sha256:0182d7183ba66a7bc9420cd1b6ef32a07d7c9330ab1111b8a3543a9be880ec2d

Observation ad5454fe-4ffe-4d93-b41c-fdedd8338119 · outbound

This paper cites Stability conditions on triangulated categories.Annals of Mathematics, 166(2):317–345.

On The Ellipticity of Generalised Monge-Amp\`ere Equations on Vector Bundles Stability conditions on triangulated categories.Annals of Mathematics, 166(2):317–345

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T00:14:17.005097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T00:13:51.318746Z digest=sha256:f0781e35fb26aa4edd834379f719991ec728d4bd0e47913ecec2fc34b98f6a2c

Observation 43259600-b0c6-4225-9efd-803685042f6d · outbound

This paper cites Collins and Shing-Tung Yau.

On The Ellipticity of Generalised Monge-Amp\`ere Equations on Vector Bundles Collins and Shing-Tung Yau

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T00:14:17.001576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T00:13:51.318746Z digest=sha256:c09c92e2aa266ac05a472b495d64f5dcdacbd0ea7dfc6370c45ccd57f6678820

Observation 6093ef3a-50da-4455-920c-a1a293c95e09 · outbound

This paper cites Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups.

On The Ellipticity of Generalised Monge-Amp\`ere Equations on Vector Bundles Polynomial stability conditions for vector bundles: Positivity, equivariance and blow-ups

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T00:14:17.027309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T00:13:51.318746Z digest=sha256:2fc6158551a107a78cb9602f05d41e016561bbdd5f965873a3553c8535d75e34

Observation 6e4aebb7-3ebf-4be8-8c21-d77234a373c3 · outbound

This paper cites an unresolved cited work.

On The Ellipticity of Generalised Monge-Amp\`ere Equations on Vector Bundles Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-05-21T00:14:16.987218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T00:13:51.318746Z digest=sha256:6ae268b3925673bd4a543a6312f56d3895120f1080f4547b64b61e367ed41b49

Observation 9b25f396-add9-4d54-900d-865522236d69 · outbound

This paper cites an unresolved cited work.

On The Ellipticity of Generalised Monge-Amp\`ere Equations on Vector Bundles Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-05-21T00:14:17.019770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T00:13:51.318746Z digest=sha256:5c15948d5a9e9156da7fb5c60573da7c02afa067012c1840278254e87a272ee3

Observation f71d3901-790a-40b7-9e2a-8006f1c2f256 · outbound

This paper cites an unresolved cited work.

On The Ellipticity of Generalised Monge-Amp\`ere Equations on Vector Bundles Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-21T00:14:16.997910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T00:13:51.318746Z digest=sha256:f9935208f9a2e26659d7f1c9617b76724cbb0343ac5b87959887b4beee6e85b4

Observation beb6330b-834b-468e-9ed6-e15d82b29873 · outbound

This paper cites Donaldson and P B Kronheimer.The Geometry of Four-Manifolds.

On The Ellipticity of Generalised Monge-Amp\`ere Equations on Vector Bundles Donaldson and P B Kronheimer.The Geometry of Four-Manifolds

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T00:14:17.012294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T00:13:51.318746Z digest=sha256:820634355b64238fb55007f64663bac7567204bd9bb61710c012f90ddfcac95c

Observation e3cd1c6a-7b3b-44c9-a177-afe3bc4111d5 · outbound

This paper cites On the convexity of general inverseσ k equations.Journal of Functional Analysis, 285(7):110038, October 2023.

On The Ellipticity of Generalised Monge-Amp\`ere Equations on Vector Bundles On the convexity of general inverseσ k equations.Journal of Functional Analysis, 285(7):110038, October 2023

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T00:14:16.994469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T00:13:51.318746Z digest=sha256:d0e84e59af4e83b5a23d1db4f500ede22ab8a72d3006b766e788400fc4ed7ca9

Observation 9afe354b-610f-4462-8a59-633b7487f8e2 · outbound

This paper cites A vector bundle version of the monge-amp` ere equation.Advances in Mathematics, 360:106921, January 2020.

On The Ellipticity of Generalised Monge-Amp\`ere Equations on Vector Bundles A vector bundle version of the monge-amp` ere equation.Advances in Mathematics, 360:106921, January 2020

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T00:14:17.015973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T00:13:51.318746Z digest=sha256:1736f12bccbd88b511607c2d87767c6fbf4ecf235d5749ea7fdb8e386fa8376c

Observation 371e49ac-f8bb-4567-8dc5-a7a0a849f39f · outbound

This paper cites J-equation on holomorphic vector bundles.Journal of Functional Analysis, 286(4):110265, February 2024.

On The Ellipticity of Generalised Monge-Amp\`ere Equations on Vector Bundles J-equation on holomorphic vector bundles.Journal of Functional Analysis, 286(4):110265, February 2024

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T00:14:16.983322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T00:13:51.318746Z digest=sha256:3c8ab0c0d61de16d0c183e71bdad866f0e359648f9257b76fb90925d7ca96eac

Observation 2dee3780-cac6-4c29-8e74-f32f5bdb67e0 · outbound

This paper cites Uhlenbeck and S.

On The Ellipticity of Generalised Monge-Amp\`ere Equations on Vector Bundles Uhlenbeck and S

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T00:14:16.990621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T00:13:51.318746Z digest=sha256:f33509fc3cdf8c8e77b21a4b4467a9f9cfd7ef32a494a80c8242f7b1ac0ea0b9

Observation 7ed97eff-83d7-4b73-abaa-0e9bf1bd69ed · outbound

This paper cites Generalized donaldson functionals and related nonlinear partial differential equations.Calculus of Variations and Partial Differential Equations, 61(4), May 2022.

On The Ellipticity of Generalised Monge-Amp\`ere Equations on Vector Bundles Generalized donaldson functionals and related nonlinear partial differential equations.Calculus of Variations and Partial Differential Equations, 61(4), May 2022

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T00:14:17.023549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T00:13:51.318746Z digest=sha256:4b333e2b92c991bfa268498920a6da6aa3e7496d065a9842126a5513eb63b747

Pith citing papers

Observation 3736af8e-209e-4db8-a2ee-366e829cbc4c · inbound

The deformed Vortex equations and equivariant stability conditions cites this paper.

The deformed Vortex equations and equivariant stability conditions On The Ellipticity of Generalised Monge-Amp\`ere Equations on Vector Bundles

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-01T18:02:25.718990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T18:02:25.718990Z digest=sha256:f63b1c58bfe1ac8f6f4698cd0b7e1150a8f0f2329c078ddcce59197ecabfef7c