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Paper Citation Record · LEDGER

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

As of 21 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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T23:35:15.450467Z digest=sha256:040cb5f38c559ff185143ffff7e58d4395311e26c047c999ab76759d8e4288ac

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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T23:35:15.572115Z digest=sha256:427feb8b2fa1c13908a0c8f30a61999dd3e1cd7c36da4099a850351e709d328d

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T23:35:15.622924Z digest=sha256:ca50ae091c5d14e3e9ebc874c207a09e995629481f7d7dde795a15de8f6fa2a2

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T23:35:15.692632Z digest=sha256:f1208d0ffed3a94d739f67fae2c98ff0e0bfff46b537d1987e69b7a7e5b46a60

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T23:35:15.782450Z digest=sha256:52e85f557b491de2fe4cb95ce9488413e6b356bfbb464133a5c123fa9c5f2aeb

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T23:35:15.891430Z digest=sha256:7c573dd5d9319d1024a3579473b3f807736d2a0cb6d8f8b31c5ca18f9d41490e

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T23:35:15.972217Z digest=sha256:f520ff9ff8aed078610307406833cfc8507f68634bf94555b8c5bc5c1f975fca

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T23:35:16.093545Z digest=sha256:20958e42b1b8102eb318b873f7a35278de2e399bcd1bc4cd23656029e6a7434b

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T23:35:16.171804Z digest=sha256:7a07d32b032d7080deaab9ab65231f8be7ebf4153001e423ac2ea2a2c99a6d07

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T23:35:16.429681Z digest=sha256:ed5373c697ee8f7603bbcfd6472e822155f990ba4fdaaf4a0d3d43764ccc273b

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T23:35:16.564694Z digest=sha256:7a6acca3b2e1b531b5bafcb7f1a035d86ac8c7e2546af4ed85849fd051c89e56

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T23:35:16.612148Z digest=sha256:247cbb9f0ff5f4763be6399650a357dcbede7a08e12a0b93cbe013f1c6607572

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T23:35:16.680529Z digest=sha256:9e39dfd75f10a0d2d1e12c8bd2f2cbdcef44d6c01197fa87410d9bc527ced16d

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T23:35:16.778065Z digest=sha256:6263efde40e100cdc0f22672911e131741d77721469f2dbe67f6ab52ea676e19

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T23:35:16.827374Z digest=sha256:2a6d47ec2b435881e35dbebebcec1fd59ff9dc3bc0449242552e3d78d7ab8ed3

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T23:35:16.920919Z digest=sha256:7a6c65f238a39d154e29d66494ceb6b943ff18f86ef52d8cbbd077897f688bd2

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 2026-08-21T06:32:19.484+00:00.

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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 2026-08-21T06:32:19.484+00:00.

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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T23:35:17.147141Z digest=sha256:e1aa7d3ee2bb5ba6c015da0d095df7712782bea930301c7c8f1908f750f55ec0

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T23:35:17.215171Z digest=sha256:fa2abff3677c39e89492ee300e33388b9fb734d855a5aea9cffce39cc9bf74fe

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T23:35:17.301693Z digest=sha256:a4d1e1eedbe8a64415615aecc0fb9d9da0e7bdbc46742d86f67237c3fe6c6641

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 2026-08-21T06:32:19.484+00:00.

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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T23:35:17.427150Z digest=sha256:b5542adfbd0a47537e6e8a43ba309f8a85d7ad13b64483d04432983b0b794b26

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 2026-08-21T06:32:19.484+00:00.

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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T23:35:17.599861Z digest=sha256:5f513a558916cb99d76659353719aebc46b1b4c4248b1f4abbf1d93e9d5fac94

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T23:35:17.677202Z digest=sha256:d9cc0f8c4dde7fb11f478f637354434f8e006ff4677f5e3733acdfe178ae7412

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 2026-08-21T06:32:19.484+00:00.

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Pith citing papers

No inbound Pith citation observations are available.