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Paper Citation Record · LEDGER

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

As of 19 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2607.06895.

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

pith.paper-citation-record.v1
2607.06895 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-10T00:00:13.638081Z

measured 18 of 18 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:41:08.709564Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T20:41:08.907177Z

Reference resolution

17 of 17 outbound references displayed

  • verified exact4
  • verified fuzzy8
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 952ca19a-9488-411e-b4e5-7adbebfdceaa · outbound

This paper cites an unresolved cited work.

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

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-07-10T00:06:38.452077Z

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.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:5309f82e1072af67a26d6da2ee75fb420646c5927e87db97416535e02630d5d0

Observation 658ca590-8fd8-47dd-b5e3-f0562fcd7621 · outbound

This paper cites an unresolved cited work.

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

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-07-10T00:06:38.462562Z

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.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:298023675e79d72876ac5f0b49ecfb0f4e70bc7ab683393f43940071a0157e6f

Observation e413939f-ce97-44ff-a65b-d41d35b3006a · outbound

This paper cites Caffarelli, P.

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

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T00:06:38.454979Z

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.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:5963648b295b868d6cc0595a2d7b007155db7973d21a3d431cdff32bc46e7350

Observation d96034e7-b6d8-4f6f-a1ae-6d111afaede0 · outbound

This paper cites Caffarelli, A.

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

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T00:06:38.435203Z

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.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:dae46c17411cd55f356bfefafbe264e7272456ce2e4c1dbcbade05138c2602a2

Observation 4f5da321-df29-4c0f-a6ca-fd3473243079 · outbound

This paper cites an unresolved cited work.

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

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-07-10T00:06:38.436887Z

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.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:a0fc8448720c7cfdc7988b15ba0805667795409f85d31c77a52513ce24bf1638

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

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

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:e8bed224cab203595e8f2594829f1180a9d8671c1a6fb11cdd14b1174726c6c3

Observation 3e3bedb7-43c5-453b-997e-95407c83950c · outbound

This paper cites Xu, Convexity estimates for level sets of quasiconcave solutions to fully nonlinear elliptic equations , J.

Power Convexity of Solutions to the Complex Monge-Amp\`{e}re Equation $\det(u_{i\overline{j}})=1$ in Complex Dimension Two Xu, Convexity estimates for level sets of quasiconcave solutions to fully nonlinear elliptic equations , J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T00:06:38.438658Z

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.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:050af344596ff90b42c3f15c9755385284d4a93fc8965ef955473a87e99dbdb0

Observation d4235ea9-8833-42b3-92ee-e0a4023d94f0 · outbound

This paper cites an unresolved cited work.

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

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-07-10T00:06:38.440479Z

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.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:63bdf15e95841502ec6bd7c213ebb566958a9b6b087c1c94e79bd224b2f4643c

Observation 437c0326-7ffd-45b8-9eaa-dcb7b1d28089 · outbound

This paper cites Hu, An Obstacle for Higher Regularity of Geodesics in the Space of K\"ahler Potentials.

Power Convexity of Solutions to the Complex Monge-Amp\`{e}re Equation $\det(u_{i\overline{j}})=1$ in Complex Dimension Two Hu, An Obstacle for Higher Regularity of Geodesics in the Space of K\"ahler Potentials

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T00:06:38.442254Z

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.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:3987d6d0c3ecc45902a0abadc111dd5b5d808e132aeb92521a06d80877785938

Observation d9fbf715-2aad-4da7-8625-eb0926d81d94 · outbound

This paper cites Hu, A Metric Lower Bound Estimate for Geodesics in the Space of K\"ahler Potentials.

Power Convexity of Solutions to the Complex Monge-Amp\`{e}re Equation $\det(u_{i\overline{j}})=1$ in Complex Dimension Two Hu, A Metric Lower Bound Estimate for Geodesics in the Space of K\"ahler Potentials

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T00:06:38.446014Z

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.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:50229cc6ed37b35cc56057c904027d6ea0b82f06ae12c2942968a68327375a4f

Observation bbe64dab-29ac-4d8c-ab8a-964d8df9284f · outbound

This paper cites Hu, A Maximum Rank Theorem for Solutions to the Homogenous Complex Monge–Amp\`ere Equation in a -Convex Ring.

Power Convexity of Solutions to the Complex Monge-Amp\`{e}re Equation $\det(u_{i\overline{j}})=1$ in Complex Dimension Two Hu, A Maximum Rank Theorem for Solutions to the Homogenous Complex Monge–Amp\`ere Equation in a -Convex Ring

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T00:06:38.449744Z

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.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:f4faf65fccd9e337689561d6eb0f0fb03eca0a1ce5822dd62d1ae07e0afcd61b

Observation 3b6f9d53-4e69-460e-a09c-b6466b07f6fa · outbound

This paper cites Hu, The Preservation of Convexity by Geodesics in the Space of K\"ahler Potentials on Complex Affine Manifolds.

Power Convexity of Solutions to the Complex Monge-Amp\`{e}re Equation $\det(u_{i\overline{j}})=1$ in Complex Dimension Two Hu, The Preservation of Convexity by Geodesics in the Space of K\"ahler Potentials on Complex Affine Manifolds

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T00:06:38.433619Z

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.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:597b610081dd06dfb5d83bbb9d2fe691147543ef4004f04ff1a5b8c82e25d963

Observation 13f5374f-882b-4c77-a9cb-68925d42494c · outbound

This paper cites an unresolved cited work.

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

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-07-10T00:06:37.983335Z

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.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:dec9b53855ac09b989f9b7816825f199b440cd014f5cdd02633d9e9ed8ed888a

Observation 26e2d75c-c999-43d3-85e7-0b25735531fc · outbound

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

Power Convexity of Solutions to the Complex Monge-Amp\`{e}re Equation $\det(u_{i\overline{j}})=1$ in Complex Dimension Two A Brunn--Minkowski inequality for the Hessian eigenvalue in convex domain

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-07-10T00:06:37.988374Z

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.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:cc652551c2a5e23fb95182bf9feb046b9b7d69373a1df47604161755a3ed63ae

Observation ec7d23da-0055-4b59-a5d0-5f83aa7e5a7f · outbound

This paper cites an unresolved cited work.

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

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-07-10T00:06:38.443920Z

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.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:001067c4d9cbd14a5de12d21785cc484e5a8dd28bfdb7e18264d67f32f9210de

Observation 66372048-ccf1-4d8a-9395-439067574500 · outbound

This paper cites Sz\'ekelyhidi, B.

Power Convexity of Solutions to the Complex Monge-Amp\`{e}re Equation $\det(u_{i\overline{j}})=1$ in Complex Dimension Two Sz\'ekelyhidi, B

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T00:06:38.447773Z

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.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:3c9b52e3e2bd162d34490e0e13912cc6c5a52204b1a902d7ab847c60a47269e8

Observation 6e8426a6-76fe-4750-a30f-31f950dbe506 · outbound

This paper cites Zhang, Q.

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

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-07-10T00:06:37.985546Z

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.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:f37095d4827e75691aa64a6f44002fb8c1d3cf4f6da43f8f0832b78430efd6c9

Pith citing papers

Observation 737f4b4d-583d-4799-9e8b-2e80677a42f5 · 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 $\mathbb{C}^2$ Power Convexity of Solutions to the Complex Monge-Amp\`{e}re Equation $\det(u_{i\overline{j}})=1$ in Complex Dimension Two

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-15T20:41:08.912625Z

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.

source=pdf_text observed=2026-08-15T20:41:08.709564Z digest=sha256:6976dcc4f42328dab7a20ec08d74df46caa5557815ae5c08fc04dba7b4d5a608