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Paper Citation Record · LEDGER

On the singular set of the free boundary for a Monge-Amp\`ere obstacle problem

As of 8 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2506.08387.

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

pith.paper-citation-record.v1
2506.08387 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:31:37.137202Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

24 of 24 outbound references displayed

  • verified exact1
  • verified fuzzy15
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7836358a-5421-4831-8247-4a2036de8639 · outbound

This paper cites an unresolved cited work.

On the singular set of the free boundary for a Monge-Amp\`ere obstacle problem Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:31:37.537567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:31:37.031041Z digest=sha256:4e289586b16820c2914e12c29f4ff715e3af5e92360fb070d18c846638286483

Observation b8020375-681b-4962-af89-50edaee794f3 · outbound

This paper cites an unresolved cited work.

On the singular set of the free boundary for a Monge-Amp\`ere obstacle problem Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:31:37.521382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:31:37.036324Z digest=sha256:5370af51ca15a60881e77685dc39f5d93da1a411d9e8c71e125b0adbfa7fc235

Observation 2986e70d-160e-4c64-95e0-6dc4c687293e · outbound

This paper cites an unresolved cited work.

On the singular set of the free boundary for a Monge-Amp\`ere obstacle problem Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:31:37.506396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:31:37.040883Z digest=sha256:7e1c14dbe730d8b8eabdc4d1c1b5a804e9312631a4c35ef263863e038c489dd3

Observation a2740bcd-41e4-4a85-b0c7-f114dcf97fa4 · outbound

This paper cites an unresolved cited work.

On the singular set of the free boundary for a Monge-Amp\`ere obstacle problem Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:31:37.491843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:31:37.045695Z digest=sha256:beadf7e3db3b0debea908ed8273ac7ccbaaddcaae09f64831d08b2cc8a1755ec

Observation de8c8fb2-fe32-42e2-b717-02eb9b5cecfe · outbound

This paper cites an unresolved cited work.

On the singular set of the free boundary for a Monge-Amp\`ere obstacle problem Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:31:37.477515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:31:37.050440Z digest=sha256:575e6038a12d1efb9159d98544aa845c7686da41c7bc2ac6a6db49ebd5094954

Observation dd9711be-7b2e-4e12-8d66-217f174e7e4a · outbound

This paper cites De Philippis, A.

On the singular set of the free boundary for a Monge-Amp\`ere obstacle problem De Philippis, A

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:31:37.462503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:31:37.054843Z digest=sha256:0e199685d1b022a71a8359f28c5ff0cce82293575847e98104804a8305296c3e

Observation 62a60d9d-192d-487c-868c-3468aee7fb79 · outbound

This paper cites De Philippis and A.

On the singular set of the free boundary for a Monge-Amp\`ere obstacle problem De Philippis and A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:31:37.447496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:31:37.059891Z digest=sha256:d79ee25c3c85b24258e6db3ae2c49573122b0d4be73be83586ca736e5bc57177

Observation a761f364-5b24-4f56-a9a3-c2f5202d0a25 · outbound

This paper cites De Philippis and R.

On the singular set of the free boundary for a Monge-Amp\`ere obstacle problem De Philippis and R

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:31:37.432253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:31:37.064351Z digest=sha256:e08f98024779a76f0af5dd1d4ac5119a57bd8301c77eae293cc0fb2c581723d2

Observation f3747941-7c69-4605-8002-6cbb0a963387 · outbound

This paper cites Figalli, The Monge-Amp`ere equation and its applications, Zurich Lectures in Advanced Mathematics, European Mathematical Society (EMS), Z¨urich, 2017.

On the singular set of the free boundary for a Monge-Amp\`ere obstacle problem Figalli, The Monge-Amp`ere equation and its applications, Zurich Lectures in Advanced Mathematics, European Mathematical Society (EMS), Z¨urich, 2017

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:31:37.416493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:31:37.068989Z digest=sha256:544deb834f050090eb60e2789963809d84c4025de4ff9ca8ebfdd32ce752fb13

Observation d9ee5378-17fd-4049-bbc5-7896447acf85 · outbound

This paper cites an unresolved cited work.

On the singular set of the free boundary for a Monge-Amp\`ere obstacle problem Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:31:37.400691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:31:37.073365Z digest=sha256:20db794424e32f427f331bd316b74f491f93ac55b86fa78078e7ece8e2bc1972

Observation c77ef764-715c-4cf9-957d-2af906dc3e32 · outbound

This paper cites an unresolved cited work.

On the singular set of the free boundary for a Monge-Amp\`ere obstacle problem Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:31:37.385018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:31:37.077975Z digest=sha256:3b51a1a68a29303897e175d37d0f436d6d15fc361433788eb8dc3ed2b503de79

Observation 03d5aa5c-a925-462d-a383-9a6d165c0bd0 · outbound

This paper cites Huang, L.

On the singular set of the free boundary for a Monge-Amp\`ere obstacle problem Huang, L

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:31:37.369591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:31:37.082316Z digest=sha256:cd53d51846e1533134ed2253d98ef118ff47130ea4c5beee70170905932d7610

Observation e0a1ada4-2d4c-4230-9017-9773adb11efb · outbound

This paper cites Jian and X.

On the singular set of the free boundary for a Monge-Amp\`ere obstacle problem Jian and X

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:31:37.354442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:31:37.087531Z digest=sha256:7079fc4be06d377daadf134c25488c2aed7d95e3694ecb9c15d1ca33a7673c38

Observation 50c4def5-d066-4192-a4ad-83f2abaae753 · outbound

This paper cites Regularity and classification of the free boundary for a Monge-Amp\`ere obstacle problem.

On the singular set of the free boundary for a Monge-Amp\`ere obstacle problem Regularity and classification of the free boundary for a Monge-Amp\`ere obstacle problem

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:31:37.180861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:31:37.092140Z digest=sha256:6588e1d7a2210ecbe6796ea1991abe5ea92aa944610c02e9e88a9b3862d604bd

Observation 14138c52-a2e9-4cae-86b0-732ae0e8e640 · outbound

This paper cites Mooney, Partial regularity for singular solutions to the Monge-Amp`ere equation, Comm.

On the singular set of the free boundary for a Monge-Amp\`ere obstacle problem Mooney, Partial regularity for singular solutions to the Monge-Amp`ere equation, Comm

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:31:37.338580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:31:37.097184Z digest=sha256:6d78b961434b492ad21fb11997062b64983808e05acb6876ec0910a7eec731d7

Observation 5f9b6fc9-f514-49fe-8459-a0462f278c16 · outbound

This paper cites Mooney, Some counterexamples to Sobolev regularity for degenerate Monge-Amp`ere equations, Anal.

On the singular set of the free boundary for a Monge-Amp\`ere obstacle problem Mooney, Some counterexamples to Sobolev regularity for degenerate Monge-Amp`ere equations, Anal

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:31:37.322830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:31:37.101424Z digest=sha256:73295bca73d840f7513803513939fc7f48b31e90bd3064170381c9c77d4c7b73

Observation 82cf9ff1-1c02-4843-9522-63c6946cf9a6 · outbound

This paper cites Mooney, Solutions to the Monge-Amp `ere equation with polyhedral and Y-shaped singularities , J.

On the singular set of the free boundary for a Monge-Amp\`ere obstacle problem Mooney, Solutions to the Monge-Amp `ere equation with polyhedral and Y-shaped singularities , J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:31:37.307795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:31:37.106164Z digest=sha256:2fee14b34b28aa19cebc3a41468860647bd5d73b14958c260559c00cf1dfbe0b

Observation cde64657-627e-4c75-b395-5a0e77244230 · outbound

This paper cites Mooney and A.

On the singular set of the free boundary for a Monge-Amp\`ere obstacle problem Mooney and A

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:31:37.291603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:31:37.111125Z digest=sha256:1803575c2b2dc683b562622b079a9c9426d31cb441d938259977a3b3faf38a4b

Observation cfed6341-f3fe-4ba9-9f95-4109c93f41d0 · outbound

This paper cites Savin, The obstacle problem for Monge Ampere equation, Calc.

On the singular set of the free boundary for a Monge-Amp\`ere obstacle problem Savin, The obstacle problem for Monge Ampere equation, Calc

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:31:37.276285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:31:37.115573Z digest=sha256:8acac5790cd883a4f68d7c1a43c6c03a88235a877bad8a54c689d5225466dc8e

Observation 1096a94d-8c61-4439-9757-26db0f0bb410 · outbound

This paper cites Savin, The Monge-Amp`ere equation, Geometric and analytic aspects of functional variational princi- ples, [2024] ©2024, pp.

On the singular set of the free boundary for a Monge-Amp\`ere obstacle problem Savin, The Monge-Amp`ere equation, Geometric and analytic aspects of functional variational princi- ples, [2024] ©2024, pp

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:31:37.259727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:31:37.119811Z digest=sha256:aab4118643ce23179cc3d26cb227b8a4cb72b7d9abafce6fad5cfafaa58fc3fb

Observation 9590b293-f78b-4242-9865-48e9f8cbe41f · outbound

This paper cites Schmidt, W2,1+ε estimates for the Monge-Amp `ere equation , Adv.

On the singular set of the free boundary for a Monge-Amp\`ere obstacle problem Schmidt, W2,1+ε estimates for the Monge-Amp `ere equation , Adv

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:31:37.244761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:31:37.124262Z digest=sha256:6838068c224e41195683ba255e06c8b7e5e6122e98e2d7bcd094072a3f929915

Observation 50a79f48-9c6e-4bfb-9b6d-d457ea79aead · outbound

This paper cites an unresolved cited work.

On the singular set of the free boundary for a Monge-Amp\`ere obstacle problem Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:31:37.229610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:31:37.128781Z digest=sha256:2916ae89d4a2227abc7934b62d97d614eb678fac577bed6312cf220d90fc8a6e

Observation 44491e69-d5bb-40e7-8f4d-0c4dda12a53d · outbound

This paper cites Wang, Regularity for Monge-Amp`ere equation near the boundary, Analysis 16 (1996), no.

On the singular set of the free boundary for a Monge-Amp\`ere obstacle problem Wang, Regularity for Monge-Amp`ere equation near the boundary, Analysis 16 (1996), no

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:31:37.212877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:31:37.132891Z digest=sha256:fd054c39a2a9fffed9b2cb9069a5baf82e81567a7701528735670db8453aa5a8

Observation 19b757f0-c6f1-4f28-a899-4884355fad7f · outbound

This paper cites Jin Department of Mathematics, The Hong Kong University of Science and Technology Clear Water Bay, Kowloon, Hong Kong Email: tianlingjin@ust.hk X.

On the singular set of the free boundary for a Monge-Amp\`ere obstacle problem Jin Department of Mathematics, The Hong Kong University of Science and Technology Clear Water Bay, Kowloon, Hong Kong Email: tianlingjin@ust.hk X

Reference 107

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:31:37.197378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:31:37.137202Z digest=sha256:71ea9243df0721528f50bcf81cc31a8cc2b70b58cb21c9d3f2d5126df291c076

Pith citing papers

No inbound Pith citation observations are available.