Paper Citation Record · LEDGER

Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue

As of 21 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 2 inbound Pith citation observations for arXiv:2606.25678.

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

pith.paper-citation-record.v1
2606.25678 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-25T20:33:18.653661Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:41:08.705904Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T00:06:37.979356Z

Reference resolution

26 of 26 outbound references displayed

verified exact1
verified fuzzy0
unresolved24
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e9a5fd10-0398-4e3a-b277-63875ae4889e · outbound

This paper cites and Lasry, J.-M.

Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue and Lasry, J.-M

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-25T20:33:18.653661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e052734-ab6a-4e84-8eeb-1955781a56e3 · outbound

This paper cites and Guan, P.

Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue and Guan, P

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-25T20:33:18.653661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 79672cff-d3d1-4da7-8d6d-71c8315d812d · outbound

This paper cites and Guan, P.

Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue and Guan, P

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-25T20:33:18.653661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fedf4e1a-ac2a-40d3-931d-7e9a1c29aa33 · outbound

This paper cites an unresolved cited work.

Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-25T20:33:18.653661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 897ce1fb-77cf-409f-929e-13781f990821 · outbound

This paper cites an unresolved cited work.

Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-25T20:33:18.653661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db440667-6035-4f61-b12e-41b298f6a796 · outbound

This paper cites A variational approach to the eigenvalue problem for complex Hessian operators.

Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue A variational approach to the eigenvalue problem for complex Hessian operators

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-07-04T20:10:08.776163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 775a9673-6404-46ae-b248-01d21ebc0738 · outbound

This paper cites and Liu, Y.

Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue and Liu, Y

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-25T20:33:18.653661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c2ad149-f59d-4aea-9025-1061e7237a53 · outbound

This paper cites , title =.

Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue , title =

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-25T20:33:18.653661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e09644f5-706d-4d41-a471-92c44bc9c1a6 · outbound

This paper cites and Salani, P.

Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue and Salani, P

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-25T20:33:18.653661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c36f8f1-5fcc-42f0-b92a-15eaaf634c58 · outbound

This paper cites an unresolved cited work.

Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-25T20:33:18.653661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c976e3d4-d842-4c24-a123-c47a7f8f4d48 · outbound

This paper cites an unresolved cited work.

Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-25T20:33:18.653661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5f2be67-e6ff-44cf-adda-c9b2360b6fd0 · outbound

This paper cites , title =.

Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue , title =

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-25T20:33:18.653661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e4dd259-b9df-4c13-b885-0b09d4d13682 · outbound

This paper cites and Ma, X.-N.

Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue and Ma, X.-N

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-25T20:33:18.653661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da02c306-5f60-4065-b86a-b366dc0a5e5c · outbound

This paper cites and Ma, X.-N.

Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue and Ma, X.-N

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-25T20:33:18.653661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec95e02d-6b6c-4de4-b31e-ea806ca172d5 · outbound

This paper cites , title =.

Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue , title =

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-25T20:33:18.653661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8cd83ef6-3961-4f0a-a1f0-71118df33f3f · outbound

This paper cites an unresolved cited work.

Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-25T20:33:18.653661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 247ccea4-ffde-4f59-ab99-2604831c2e81 · outbound

This paper cites , title =.

Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue , title =

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-25T20:33:18.653661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df845b02-01d0-491f-9915-deb9bfec1b87 · outbound

This paper cites , title =.

Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue , title =

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-25T20:33:18.653661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b66fd769-df91-4ad9-a9a5-d1db7016d427 · outbound

This paper cites an unresolved cited work.

Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-25T20:33:18.653661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1ed5329-d53a-4f19-a788-538df97eb867 · outbound

This paper cites , title =.

Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue , title =

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-25T20:33:18.653661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c65fedec-b764-47fa-a33b-4b0e8406e99c · outbound

This paper cites and Picard, Sebastien , title =.

Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue and Picard, Sebastien , title =

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-25T20:33:18.653661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 250848a4-7958-4c20-acb3-b91122f3f422 · outbound

This paper cites and Nirenberg, L.

Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue and Nirenberg, L

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-25T20:33:18.653661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5cc60458-3620-4150-826f-064a006fcd64 · outbound

This paper cites , title =.

Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue , title =

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-25T20:33:18.653661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3bb4ddbb-e018-4271-b6a6-d36a2413520a · outbound

This paper cites and Friedman, A.

Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue and Friedman, A

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-25T20:33:18.653661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2eed924a-153d-408b-bb93-acb823bc739e · outbound

This paper cites A Brunn--Minkowski inequality for the Hessian eigenvalue in convex domain.

Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue A Brunn--Minkowski inequality for the Hessian eigenvalue in convex domain

Reference 25

Resolution: metadata mismatch; local_arxiv, observed 2026-07-04T20:10:08.778787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a632a962-18b5-4d50-b3c7-0c54e6b08f40 · outbound

This paper cites Adv.Nonlinear Stud.

Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue Adv.Nonlinear Stud

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-25T20:33:18.653661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 8b44e115-347f-44df-814f-7bdd1b024b9f · inbound

The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ cites this paper.

The log-concavity of eigenfunction to complex Monge-Amp\`ere operator in $\mathbb{C}^2$ Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T20:41:08.705904Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bfe52939-766f-40c0-82b4-1e1fcfed4405 · inbound

Power Convexity of Solutions to the Complex Monge-Amp\`{e}re Equation $\det(u_{i\overline{j}})=1$ in Complex Dimension Two cites this paper.

Power Convexity of Solutions to the Complex Monge-Amp\`{e}re Equation $\det(u_{i\overline{j}})=1$ in Complex Dimension Two Brunn--Minkowski Inequality for the First Complex $\sigma_{2}$-Hessian Eigenvalue

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-07-10T00:06:37.980631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.