Paper Citation Record · LEDGER

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4

As of 19 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2509.03217.

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

pith.paper-citation-record.v1
2509.03217 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:42:26.612284Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

33 of 33 outbound references displayed

verified exact1
verified fuzzy10
unresolved22
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 35b604ab-ba94-44d1-b9b8-c82d9d7ffc0b · outbound

This paper cites Caffarelli and Xavier Cabr\'e, Fully nonlinear elliptic equations, American Mathematical Society Colloquium Publications, vol.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 Caffarelli and Xavier Cabr\'e, Fully nonlinear elliptic equations, American Mathematical Society Colloquium Publications, vol

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T16:42:26.430485Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2068fb46-cdcc-40f6-b29a-357186b4a010 · outbound

This paper cites PDE 9 (2016), no.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 PDE 9 (2016), no

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:42:27.148987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7fc28e45-6a43-4306-902d-9764d51c057c · outbound

This paper cites An Integral Approach to Prescribing Scalar Curvature Equations.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 An Integral Approach to Prescribing Scalar Curvature Equations

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T16:42:26.441995Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7bf72d3-8a8c-462a-8556-5b11c86062f7 · outbound

This paper cites Caffarelli, L.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 Caffarelli, L

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-15T16:42:26.447235Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1982cdd7-306b-4953-ad97-3a233fd7f2c4 · outbound

This paper cites Trudinger, An A lexsandrov type theorem for k -convex functions , Bull.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 Trudinger, An A lexsandrov type theorem for k -convex functions , Bull

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T16:42:26.455541Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c25fd6a0-f421-402f-bf96-529215a0f8c5 · outbound

This paper cites Pure Appl.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 Pure Appl

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:42:27.112073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 05e86f53-089c-4f7a-a550-3d4b72a7dab8 · outbound

This paper cites Evans and Ronald F.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 Evans and Ronald F

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T16:42:26.468515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8b5c4c38-b835-4cc1-848c-acb643a44f52 · outbound

This paper cites A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:42:26.681409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2ea23a9b-2fc8-4a13-980e-14ef1b226bc3 · outbound

This paper cites an unresolved cited work.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:42:27.086719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ec05a46a-fe56-4dcf-a04e-d0936f535b09 · outbound

This paper cites Trudinger, Elliptic partial differential equations of second order, Classics in Mathematics, Springer-Verlag, Berlin, 2001, Reprint of the 1998 edition.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 Trudinger, Elliptic partial differential equations of second order, Classics in Mathematics, Springer-Verlag, Berlin, 2001, Reprint of the 1998 edition

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T16:42:26.487461Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99487958-eb8c-4767-a930-94d943106559 · outbound

This paper cites Analyse Math.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 Analyse Math

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:42:27.060639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation becf415c-dcc4-437f-8e02-12a9a131a349 · outbound

This paper cites Blaine Lawson, Jr., Calibrated geometries, Acta Math.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 Blaine Lawson, Jr., Calibrated geometries, Acta Math

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:42:27.045180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 05bb76af-809f-4174-beec-bdd879ea163c · outbound

This paper cites 1, Courant Institute of Mathematical Sciences, New York; American Mathematical Society, Providence, RI, 2011.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 1, Courant Institute of Mathematical Sciences, New York; American Mathematical Society, Providence, RI, 2011

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:42:27.026094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c9fe0e9d-fdc9-427e-8e1b-b29f534d2a77 · outbound

This paper cites Labutin, Potential estimates for a class of fully nonlinear elliptic equations, Duke Math.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 Labutin, Potential estimates for a class of fully nonlinear elliptic equations, Duke Math

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:42:27.008360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8d3a1682-c747-4c5b-9c46-d7aaccedc298 · outbound

This paper cites an unresolved cited work.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:42:26.993068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 10cc223d-da87-4a75-bdae-64fa653ee9ea · outbound

This paper cites Trudinger, On some inequalities for elementary symmetric functions, Bull.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 Trudinger, On some inequalities for elementary symmetric functions, Bull

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:42:26.977044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4e4d8674-4e39-4ce9-b277-6e63e1b76f50 · outbound

This paper cites Pointwise regularity for locally uniformly elliptic equations and applications.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 Pointwise regularity for locally uniformly elliptic equations and applications

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-15T16:42:26.526103Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7ba01d0-4f04-4949-aab5-374279586462 · outbound

This paper cites an unresolved cited work.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:42:26.960874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 04f6a306-40f4-4130-929c-e7c12a63ffd2 · outbound

This paper cites an unresolved cited work.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:42:26.944249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 461547f3-5df7-48d2-ad0a-ada8d1ebe09e · outbound

This paper cites an unresolved cited work.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:42:26.927356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e0663db7-683c-4123-91a1-2ac882c5d415 · outbound

This paper cites an unresolved cited work.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:42:26.910270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b2089a52-c8f1-43c3-bbd1-0ef1babaae37 · outbound

This paper cites Partial Differential Equations 32 (2007), no.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 Partial Differential Equations 32 (2007), no

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:42:26.894900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0cbe6bb5-a362-4d16-9f30-9e6209c86a06 · outbound

This paper cites an unresolved cited work.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:42:26.877387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0ec3c7a3-c438-4948-8914-387da731263b · outbound

This paper cites an unresolved cited work.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:42:26.861246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 52b2bca5-f0cd-4f19-978b-a0478988fc41 · outbound

This paper cites an unresolved cited work.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:42:26.844553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0c737aaa-cff6-4182-97cb-633ebac6401d · outbound

This paper cites Trudinger, Weak solutions of H essian equations , Comm.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 Trudinger, Weak solutions of H essian equations , Comm

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-15T16:42:26.576616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 48b3638c-dead-45ae-b137-67fe050e35c0 · outbound

This paper cites Trudinger and Xu-Jia Wang, Hessian measures.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 Trudinger and Xu-Jia Wang, Hessian measures

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-15T16:42:26.582513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db23c6a1-87d4-423b-9efd-35611707351c · outbound

This paper cites an unresolved cited work.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:42:26.805338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 24e80534-5343-4130-ba08-94364e753ada · outbound

This paper cites 1977, Springer, Dordrecht, 2009, pp.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 1977, Springer, Dordrecht, 2009, pp

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:42:26.786578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0d017b5d-fa56-482a-91b4-925893be27fe · outbound

This paper cites Pure Appl.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 Pure Appl

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:42:26.767908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fd21ec9b-103b-45ba-92cf-ebd4db8cc6a0 · outbound

This paper cites an unresolved cited work.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:42:26.751054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 995e9be0-ec06-45d0-b56a-0407eb0f7525 · outbound

This paper cites an unresolved cited work.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:42:26.733509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cc53c8a4-5e6e-439f-95d3-c7c1be7854b3 · outbound

This paper cites an unresolved cited work.

Hessian Estimates for the Sigma-2 Equation with Variable Right-Hand Side Terms in Dimension 4 Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:42:26.717179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.