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Paper Citation Record · LEDGER

On a general class of free boundary Monge-Amp\`ere equations

As of 22 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2508.05551.

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

pith.paper-citation-record.v1
2508.05551 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T23:35:17.729385Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

31 of 31 outbound references displayed

  • verified exact2
  • verified fuzzy10
  • unresolved19
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 78d0ebb3-68c8-4e1e-8b13-499b64779885 · outbound

This paper cites an unresolved cited work.

On a general class of free boundary Monge-Amp\`ere equations Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:35:22.999136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation e1b7e4df-aa44-458f-8f1d-1bc0162c778a · outbound

This paper cites J.; Berndtsson, B.Real Monge-Amp` ere equations and K¨ ahler-Ricci solitons on toric log Fano varieties.

On a general class of free boundary Monge-Amp\`ere equations J.; Berndtsson, B.Real Monge-Amp` ere equations and K¨ ahler-Ricci solitons on toric log Fano varieties

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:35:22.821737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T23:35:15.450467Z digest=sha256:3d1fb3446be6aa996c4013d027986cb48f2b6e040680a32785cb6950133632e4

Observation 9c1bbfb3-229c-4dae-9f6f-192525217eec · outbound

This paper cites an unresolved cited work.

On a general class of free boundary Monge-Amp\`ere equations Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:35:22.611445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 05274286-f92b-4f95-8cc7-f33521a9dc82 · outbound

This paper cites Pure Appl.

On a general class of free boundary Monge-Amp\`ere equations Pure Appl

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:35:22.377305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T23:35:15.572115Z digest=sha256:477c9bcfd6d0ee1c29c39c984989c6d2cc832f74e15f1865b7fb20000dc390be

Observation 67059f9a-eba1-43ea-8dd9-b2234a9b26e4 · outbound

This paper cites an unresolved cited work.

On a general class of free boundary Monge-Amp\`ere equations Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:35:22.192166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T23:35:15.622924Z digest=sha256:c2a600d369b03e1a00a2d2c2fc9d83384b12e179442a0daf01d07346bfff8d62

Observation 5ec7ad66-5db7-43dd-b549-21c0005efa5d · outbound

This paper cites an unresolved cited work.

On a general class of free boundary Monge-Amp\`ere equations Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:35:22.026941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T23:35:15.692632Z digest=sha256:cf6a7839d8f8578cadf9b9fd9266e5722502e7ebf8d660ba3cad5c8057a7cd97

Observation d9ca76f2-1615-40c9-8f8b-07f2a58ccf3f · outbound

This paper cites an unresolved cited work.

On a general class of free boundary Monge-Amp\`ere equations Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:35:21.832679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T23:35:15.782450Z digest=sha256:a62c6e1cbf7579f92159dbe96a08f3f68020d512c9d8bf9732f6b3d633b280bd

Observation 15e7cf19-025f-4d96-b1f7-a00b4e41cd05 · outbound

This paper cites Pure Appl.

On a general class of free boundary Monge-Amp\`ere equations Pure Appl

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:35:21.607464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T23:35:15.891430Z digest=sha256:2ca4e8ccc7d67b79038cb71bea7eb8d41a0ccaa956cb2d0c2dc88fd7001ae759

Observation 6461fd72-e204-44b3-8c85-b31afe7d8809 · outbound

This paper cites Pure Appl.

On a general class of free boundary Monge-Amp\`ere equations Pure Appl

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:35:21.414934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T23:35:15.972217Z digest=sha256:e6c8a3b168eef823a8dba0dc551a5d063a1b54095405763c0afef4e384306d5b

Observation a42390dd-95f8-4b3e-9097-57a514e42d3f · outbound

This paper cites an unresolved cited work.

On a general class of free boundary Monge-Amp\`ere equations Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:35:21.228373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T23:35:16.093545Z digest=sha256:58a953b91ae8d15df98b2b7f54e2c1c30004cd9dbe2c51a8d32903b1846a5b32

Observation d81aec71-58dd-4a51-b0a1-e32f03e28a0f · outbound

This paper cites Complete Calabi-Yau metrics in the complement of two divisors.

On a general class of free boundary Monge-Amp\`ere equations Complete Calabi-Yau metrics in the complement of two divisors

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-05T23:35:18.139936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T23:35:16.171804Z digest=sha256:3acafb31aa0e195bf22e5172b603c5f3f4261d4a8b1293abb454b4ea98ae1d8c

Observation 65989be7-a18f-4825-8aa9-5e901422704a · outbound

This paper cites Boundary regularity of optimal transport maps on convex domains.

On a general class of free boundary Monge-Amp\`ere equations Boundary regularity of optimal transport maps on convex domains

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-05T23:35:16.248308Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T23:35:16.248308Z digest=sha256:b71828d1eb2f5049bad1a10face1b08ef073b525d9230144c6dd9dede3c85cb0

Observation c6ba36c2-686d-460a-ae24-4d071bfa1147 · outbound

This paper cites A free boundary Monge-Amp\`ere equation and applications to complete Calabi-Yau metrics.

On a general class of free boundary Monge-Amp\`ere equations A free boundary Monge-Amp\`ere equation and applications to complete Calabi-Yau metrics

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-05T23:35:16.338514Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T23:35:16.338514Z digest=sha256:642720710b696e90d190efa50d9d54c913c3322cd4dff2bdbbaee4f3880c719b

Observation f3d57007-a47f-4d2a-a86e-c093e55e71ca · outbound

This paper cites an unresolved cited work.

On a general class of free boundary Monge-Amp\`ere equations Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:35:21.080913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T23:35:16.429681Z digest=sha256:a0faf3ed229ebb894d2e45cda12807cc33bbf4ab23bbec81dc87072593b9ddea

Observation d89f884e-c5e7-4b2c-96af-9fc685e3804a · outbound

This paper cites J.The geometry of optimal transportation.Acta Math.

On a general class of free boundary Monge-Amp\`ere equations J.The geometry of optimal transportation.Acta Math

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:35:20.897155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T23:35:16.564694Z digest=sha256:904b76f7421c4818be5548c102180e4b0c610e99a51f6601968fd269e4b085a8

Observation c9364fc9-ab57-4fb4-a06d-d37c2e367184 · outbound

This paper cites 216 (2016), no.

On a general class of free boundary Monge-Amp\`ere equations 216 (2016), no

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:35:20.668114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T23:35:16.612148Z digest=sha256:4482fd7b93a58ac1c5a672f4de359e5a995d8d031c357889ddfa3c9dd0aeb336

Observation 5cfcd102-d523-45ec-9d27-5c4b037a99b3 · outbound

This paper cites an unresolved cited work.

On a general class of free boundary Monge-Amp\`ere equations Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:35:20.539267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T23:35:16.680529Z digest=sha256:90397afe8cfc2f0389bbf70c92aad9736ca4898bf03ec61f98776913a44d5859

Observation c97f9414-f461-4aa1-96fe-78376cae44b7 · outbound

This paper cites an unresolved cited work.

On a general class of free boundary Monge-Amp\`ere equations Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:35:20.390219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T23:35:16.778065Z digest=sha256:0cb9d8dec362eb01835bacc81d303959f947c845a1a00ca415b0afeacdccd27d

Observation c2377b98-f3eb-4d94-91a2-ba4477ff1627 · outbound

This paper cites Petersburg Math.

On a general class of free boundary Monge-Amp\`ere equations Petersburg Math

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:35:20.286309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T23:35:16.827374Z digest=sha256:a7c66d577633df49088d3ad2da10f327b301c3766d9189055b2fdcc48974c9dd

Observation 1275ab42-beab-4e74-8711-0fa7c5fa0e73 · outbound

This paper cites Q., Savin, O.,Schauder estimates for degenerate Monge-Amp` ere equations and smoothness of the eigenfunctions, Invent.

On a general class of free boundary Monge-Amp\`ere equations Q., Savin, O.,Schauder estimates for degenerate Monge-Amp` ere equations and smoothness of the eigenfunctions, Invent

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:35:20.170366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T23:35:16.920919Z digest=sha256:e552a14eec141acce0ab59cb2323bb35ae1a6eb29ba5f0f07a856f8446c5e0d3

Observation 042be1b1-906c-4aa4-ade4-1944380cd3c8 · outbound

This paper cites an unresolved cited work.

On a general class of free boundary Monge-Amp\`ere equations Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:35:20.068265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T23:35:16.992457Z digest=sha256:403eb526cd5b3e0dd9b2b50292ab0bc21b50726cf10082fcbaf3aea11fb09c72

Observation cd622cc3-fd33-4f02-b63f-175c7e358d54 · outbound

This paper cites an unresolved cited work.

On a general class of free boundary Monge-Amp\`ere equations Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:35:19.872865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T23:35:17.067878Z digest=sha256:952bca7c0a3d21958fe38cf95de166b01894606ab6f39e22a6bc392818ed59f0

Observation 03f796a8-84ee-4baf-a2f5-e8c64f3d366c · outbound

This paper cites an unresolved cited work.

On a general class of free boundary Monge-Amp\`ere equations Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:35:19.749157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T23:35:17.147141Z digest=sha256:53ac53f9bb98a89d67fbc268d4f878e464782e80947d67e17718c6180339b478

Observation df0e3261-5891-4a96-bd61-0b402808b341 · outbound

This paper cites Pure Appl.

On a general class of free boundary Monge-Amp\`ere equations Pure Appl

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:35:19.495634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T23:35:17.215171Z digest=sha256:9a34eeb33b4087546c9f6a436300f0d168ed660f8b159a890a080a59d8e1d0e6

Observation d5613e3f-9254-47f1-a45a-50e4005b4ae1 · outbound

This paper cites V.,The Minkowski multidimensional problem, Scripta Series in Mathematics, V.

On a general class of free boundary Monge-Amp\`ere equations V.,The Minkowski multidimensional problem, Scripta Series in Mathematics, V

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:35:19.269550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T23:35:17.301693Z digest=sha256:aa2fcded5b50b8dc3232e327812003a2185eba5f1a9acc74f442bc9bcccfb979

Observation bec6ac42-e073-41ef-8ad9-fa7a4309e25f · outbound

This paper cites an unresolved cited work.

On a general class of free boundary Monge-Amp\`ere equations Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:35:19.050343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T23:35:17.367020Z digest=sha256:8793b4733effbc8cb40fca29862ef4418def1f9f6f48b3e5ca4b20a9cd223c0c

Observation fdb14273-8fa0-4f59-a02b-194041b43894 · outbound

This paper cites an unresolved cited work.

On a general class of free boundary Monge-Amp\`ere equations Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:35:18.837381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T23:35:17.427150Z digest=sha256:4714c5912bdb8878f65f7b6e85295187f83deeb5295fd40c53693372a46bf491

Observation 0854c580-1c5b-436c-9246-b51b38237e5c · outbound

This paper cites Generalized Monge-Amp\`ere functionals and related variational problems.

On a general class of free boundary Monge-Amp\`ere equations Generalized Monge-Amp\`ere functionals and related variational problems

Reference 28

Resolution
verified exact
local_arxiv, observed 2026-08-05T23:35:17.910299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T23:35:17.500526Z digest=sha256:ffdf8aac553c1c4c0b466cc83a764f451c582dda023ca0c524a2a287e1dd69aa

Observation e74b1d04-0159-49e5-9143-416c3c8615e9 · outbound

This paper cites an unresolved cited work.

On a general class of free boundary Monge-Amp\`ere equations Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:35:18.641792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T23:35:17.599861Z digest=sha256:2de1ce8bebd3feb5789365dfa2a3f0479e1cc98296008c669d3936bdee5701d5

Observation fdb26534-555e-46ed-8a8e-393e0ad91db6 · outbound

This paper cites an unresolved cited work.

On a general class of free boundary Monge-Amp\`ere equations Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:35:18.464082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T23:35:17.677202Z digest=sha256:89ff21378e47da4c2acb0fad6d1a77a55831bdd58da116ad0d8f6c4ffce5c517

Observation b0b4db67-1b9d-44e7-8743-cd653fb6affb · outbound

This paper cites an unresolved cited work.

On a general class of free boundary Monge-Amp\`ere equations Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:35:18.255666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T23:35:17.729385Z digest=sha256:298085f8db23b8452c2fd3dc52068b37f6c1d440b444c323ba1543d60483174f

Pith citing papers

No inbound Pith citation observations are available.