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Paper Citation Record · LEDGER

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

As of 10 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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

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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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T23:35:15.572115Z digest=sha256:0b14bb07227a4ca6ca088d6633ce55578b4ce7eb3e4e42489ce1d5245cbc7cb7

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 2026-08-10T06:31:04.303077+00:00.

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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 2026-08-10T06:31:04.303077+00:00.

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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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T23:35:15.782450Z digest=sha256:ed5edb63b85b07e45c3e6ca1e0de9adc26ae099dea02e165458e9069e2ee41f5

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T23:35:15.891430Z digest=sha256:b144c8ff41d081ec8408f29e35cfc2a48f24dc0c681e62f748093f29eacfd9e3

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T23:35:15.972217Z digest=sha256:1bd9c24bd46b5847ff7fb01a1d2e8257452ec66809ead9186fac56dee36a8806

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 2026-08-10T06:31:04.303077+00:00.

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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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T23:35:16.171804Z digest=sha256:7c5fff8677428055e49eaedc2c57e13293c9425baf92d8e440a569474206c4bc

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:d2ce0482573de51f6608ca09fda542c6451a3b68a520ac6e3d7550d812811419

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=sha256:7a8b0e38f6528fefcde6a7be2dc05aa37ac0b9a5ee9389e247b94bfb45a6773d

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T23:35:16.429681Z digest=sha256:2f41f7f4c9955e32bb46e724c96196cffc4d3d2ef62b841efa69dab9ce37b7ce

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T23:35:16.564694Z digest=sha256:ed7582739ca7662dcffd297dc78922dcd923004ec40c41796259fa1476168002

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T23:35:16.612148Z digest=sha256:c8e877ca154a2de2786c0cc2bcb7a2cbe0d0378e0cc1dd6ed4e956ddf31290b8

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T23:35:16.680529Z digest=sha256:acbe09738b15cd60708feb8e6df8130af119f75fd22d7b2394201458911491ad

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T23:35:16.778065Z digest=sha256:015ced9f0c36d1c7673c68315a565ddef4c2ebdef25a2812c4cb21c0828f4c8d

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T23:35:16.827374Z digest=sha256:d655a345a8b27b7c67d279427bbc143a9aceacc9c9b714a78e5b2b9af4b16201

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T23:35:16.920919Z digest=sha256:730b6e807982e8ac7e68e5156b83a15122be53ff48b4df8963e71a20f6882227

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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T23:35:17.147141Z digest=sha256:7d0ace82eae6e2e258aee58c135261aada6a545f3df41fecdf1eee23478bfdf3

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T23:35:17.215171Z digest=sha256:fa52afc71bd005b816845bc4bc5c38b9e8b4239439a78326974f823e1bc3e53f

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T23:35:17.301693Z digest=sha256:045dfd461cc602b80f8b392f48fb3401525edaa3d7f12d402211e82d23a1263d

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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T23:35:17.427150Z digest=sha256:7838073b974d10a3c7562aa0a6ba5c2969347f098690c532c91ff8e59f5f47e2

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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T23:35:17.599861Z digest=sha256:7849dd0fd4dc80ee39c19b34f6f3c24d1e37e05a208d3891e20b675914db093c

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T23:35:17.677202Z digest=sha256:7f96590cae349e582a60d8827615a744948aaac6448c67cec047965bde396cf7

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T23:35:17.729385Z digest=sha256:bf73a656840fc6996688313a65d167dae23e02286982b5e6f60bc882c1e08837

Pith citing papers

No inbound Pith citation observations are available.