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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 13 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations 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 17 of 17 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 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

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:08f9e026a1deea3611592b7435302fbba3fb2d51928552b607d62cd41168ab9f

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:282f6b8684f6259e6535e56044b60da7506f939111428839c4c91a2a082d5b88

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:693ca10fc40e15530a537076f28a9ee31d764ac750d453dd108c9ca853c859ef

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:6782f46ae658baa684db459e54a75f706c7b8f4d9da2c529afe59321ecd8b515

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:ed046790255b76adad4f66b38ec2ef602c4045382aabb73da1669fb060087a1b

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:d554a24ac91cabcf41f8aaee51576e7ea763ec4018240bd58639b52152ac9f14

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:eb23a02b196a1b87b65850ffbc26a51cc9f3303a1ae08d6b82e0773db8c1862c

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:4536083754b969ac46372f39acf8eeb417546e4ffa5214a93d44ecbbe072e4f9

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:b0541f822b7a1d26b2838880d965839ee5018bd28c2fbd0dae1d71f04237b31d

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:d9cb324a88c8113a3aa54254fca4675de9f371c582459e570982175b93db0216

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:e6a6a715256f2e251f9d82abbb660d896130e40ea1c91e6241d0963db029ef19

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:17bcc4872d4b3aa389e333667984228708990f3b39fe9d8ea7b7b7999128994c

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:7c3e895e7e60efaa3de42645d3ef106d2d27d314c13f0658b3d2555473fa5ad3

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:6f66147f8e5eaa1298b0f79762cc35cf887658f37bf7b0decb0469788871f4ef

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:02459a0fa4e8418971333028a1dec07015930a6965b4977806f6c938514195d0

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:786897b0f223868504f214b5913d63d8994cf7bfaa4761b0c955dcee4bfd5427

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-07-10T00:00:13.638081Z digest=sha256:facbb4e9856e5f8bfba3cff00ee45f34d9b1be857b8593db929b1af37ab72f4d

Pith citing papers

No inbound Pith citation observations are available.