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Paper Citation Record · LEDGER

Local asymptotics for singular solutions to critical Hartree equations

As of 16 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 1 inbound Pith citation observation for arXiv:2505.19021.

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

pith.paper-citation-record.v1
2505.19021 v1

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:26:49.396214Z

measured 48 of 48 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:39:37.599523Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-16T00:39:37.992027Z

Reference resolution

47 of 47 outbound references displayed

  • verified exact1
  • verified fuzzy31
  • unresolved15
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 73c5bf4d-235a-45d7-8625-20167651e881 · outbound

This paper cites an unresolved cited work.

Local asymptotics for singular solutions to critical Hartree equations Unresolved cited work

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c1f2de1c-2a73-471d-a994-7871bbe1c1c7 · outbound

This paper cites an unresolved cited work.

Local asymptotics for singular solutions to critical Hartree equations Unresolved cited work

Reference 2

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation fc717f40-726b-48c8-abfd-ab74a244ae4f · outbound

This paper cites Aubin, Probl` emes isop´ erim´ etriques et espaces de Sobolev,J.

Local asymptotics for singular solutions to critical Hartree equations Aubin, Probl` emes isop´ erim´ etriques et espaces de Sobolev,J

Reference 3

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 03492a26-211e-4040-8ee2-2d19ca19a8a1 · outbound

This paper cites Caffarelli, T.

Local asymptotics for singular solutions to critical Hartree equations Caffarelli, T

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation ee386496-705b-4c55-8942-8fd06761c509 · outbound

This paper cites Caffarelli, B.

Local asymptotics for singular solutions to critical Hartree equations Caffarelli, B

Reference 5

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 8a824c30-7ee8-43b0-b7c1-bc44d5fd4bd8 · outbound

This paper cites Chen and F.

Local asymptotics for singular solutions to critical Hartree equations Chen and F

Reference 6

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 5ce6690a-3ffa-4b87-9bdf-4bcfdca38790 · outbound

This paper cites Chen and C.

Local asymptotics for singular solutions to critical Hartree equations Chen and C

Reference 7

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 501a38e2-7e10-4c64-8cf5-ade46cecfa8f · outbound

This paper cites an unresolved cited work.

Local asymptotics for singular solutions to critical Hartree equations Unresolved cited work

Reference 8

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 970ed915-bc5e-4bd6-a37a-0d73ce1e3829 · outbound

This paper cites an unresolved cited work.

Local asymptotics for singular solutions to critical Hartree equations Unresolved cited work

Reference 9

Resolution
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 984a9da3-29ba-445e-820b-a284a26b6685 · outbound

This paper cites an unresolved cited work.

Local asymptotics for singular solutions to critical Hartree equations Unresolved cited work

Reference 10

Resolution
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a748d95b-8037-4dd6-9308-4fc38dea6f81 · outbound

This paper cites DelaTorre, M.

Local asymptotics for singular solutions to critical Hartree equations DelaTorre, M

Reference 11

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 7536a5a6-455b-4da1-bea1-f04baca72a07 · outbound

This paper cites Du and M.

Local asymptotics for singular solutions to critical Hartree equations Du and M

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 7224230b-395a-40a8-a9c5-15e7f38ac929 · outbound

This paper cites Du and H.

Local asymptotics for singular solutions to critical Hartree equations Du and H

Reference 13

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 782cb0bb-70bf-49a1-9fbb-19b3ee91d6d9 · outbound

This paper cites Emden,Gaskugeln: Anwendungen der mechanischen W¨ armetheorie auf kosmologische und meteorologische Probleme, Leipzig, Berlin, B.G.

Local asymptotics for singular solutions to critical Hartree equations Emden,Gaskugeln: Anwendungen der mechanischen W¨ armetheorie auf kosmologische und meteorologische Probleme, Leipzig, Berlin, B.G

Reference 14

Resolution
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 83b8cbb2-2606-4f47-b0e9-100a3d7890e4 · outbound

This paper cites an unresolved cited work.

Local asymptotics for singular solutions to critical Hartree equations Unresolved cited work

Reference 15

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 95508772-0ebd-40d8-992f-36eba0dc7e2f · outbound

This paper cites an unresolved cited work.

Local asymptotics for singular solutions to critical Hartree equations Unresolved cited work

Reference 16

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 82765835-a759-4f2d-ad44-860228881f07 · outbound

This paper cites Fr¨ ohlich, Theory of electrical breakdown in ionic crystal,Proc.

Local asymptotics for singular solutions to critical Hartree equations Fr¨ ohlich, Theory of electrical breakdown in ionic crystal,Proc

Reference 17

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 4ced5f3e-ef65-4c3e-b66f-236728154a43 · outbound

This paper cites Fr¨ ohlich, Electrons in lattice fields,Adv.

Local asymptotics for singular solutions to critical Hartree equations Fr¨ ohlich, Electrons in lattice fields,Adv

Reference 18

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation e44f07f4-5e58-4ee4-919e-80c83dba17f1 · outbound

This paper cites Gao and M.

Local asymptotics for singular solutions to critical Hartree equations Gao and M

Reference 19

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 31894061-c262-4e1b-86ff-848ea31015ec · outbound

This paper cites Ghergu and S.

Local asymptotics for singular solutions to critical Hartree equations Ghergu and S

Reference 20

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation fcfeaf9c-7eb4-4131-903b-b8dcf4d39503 · outbound

This paper cites Ghergu and S.

Local asymptotics for singular solutions to critical Hartree equations Ghergu and S

Reference 21

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 08647dd1-b118-4d6b-9619-47524b513990 · outbound

This paper cites Gidas, W.

Local asymptotics for singular solutions to critical Hartree equations Gidas, W

Reference 22

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 0487d72d-e91d-45ca-9725-33c2b60eb79d · outbound

This paper cites an unresolved cited work.

Local asymptotics for singular solutions to critical Hartree equations Unresolved cited work

Reference 23

Resolution
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 5a9822c0-cd5a-44b7-b98e-bdfc08e2821b · outbound

This paper cites an unresolved cited work.

Local asymptotics for singular solutions to critical Hartree equations Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:26:53.680927Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 83bb2c3b-7a9e-48ae-9996-eb53f8105e48 · outbound

This paper cites an unresolved cited work.

Local asymptotics for singular solutions to critical Hartree equations Unresolved cited work

Reference 25

Resolution
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a6dcbfdb-fd28-4330-a124-deaa8bd2cd95 · outbound

This paper cites an unresolved cited work.

Local asymptotics for singular solutions to critical Hartree equations Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:26:53.359910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 4ef42a77-a8c2-4158-a27f-90a3b82c0a99 · outbound

This paper cites Jin and J.

Local asymptotics for singular solutions to critical Hartree equations Jin and J

Reference 27

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 19069cbf-e95c-417f-9f3c-a4bd11a878f0 · outbound

This paper cites Korevaar, R.

Local asymptotics for singular solutions to critical Hartree equations Korevaar, R

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:26:53.025096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 148ffc2c-7ae5-4ff7-8907-87c0657d6f9a · outbound

This paper cites Le, On classical solutions to the Hartree equation,J.

Local asymptotics for singular solutions to critical Hartree equations Le, On classical solutions to the Hartree equation,J

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:26:52.864994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 7f1783f2-660b-468b-8a61-b08afd2be88d · outbound

This paper cites Le, Symmetry and classification of solutions to an integral equation of the Choquard type,C.

Local asymptotics for singular solutions to critical Hartree equations Le, Symmetry and classification of solutions to an integral equation of the Choquard type,C

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:26:52.711798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 805c4aa4-c08d-4529-a19f-01ef59e62749 · outbound

This paper cites Li, Local asymptotic symmetry of singular solutions to nonlinear elliptic equations,Invent.

Local asymptotics for singular solutions to critical Hartree equations Li, Local asymptotic symmetry of singular solutions to nonlinear elliptic equations,Invent

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:26:52.554018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 3d0d867e-b34e-4181-a461-560891788f7f · outbound

This paper cites Li, Remark on some conformally invariant integral equations: the method of moving spheres,J.

Local asymptotics for singular solutions to critical Hartree equations Li, Remark on some conformally invariant integral equations: the method of moving spheres,J

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:26:52.405374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 0fd53955-c846-4be7-b78b-18f230c49440 · outbound

This paper cites Li and L.

Local asymptotics for singular solutions to critical Hartree equations Li and L

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:26:52.258649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 488f9326-a0c4-4779-8067-fc0529617cbf · outbound

This paper cites Li and M.

Local asymptotics for singular solutions to critical Hartree equations Li and M

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:26:52.074785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 64e70821-3f50-4de5-b93b-a0f4c1319f60 · outbound

This paper cites an unresolved cited work.

Local asymptotics for singular solutions to critical Hartree equations Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:26:51.959575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation e3b27db1-485c-4b39-bcb7-a562b5a45f17 · outbound

This paper cites an unresolved cited work.

Local asymptotics for singular solutions to critical Hartree equations Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:26:51.797717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 105c54b0-0339-4a13-be46-df3ba283abcd · outbound

This paper cites Lin, A classification of solutions of a conformally invariant fourth order equation inR n,Comment.

Local asymptotics for singular solutions to critical Hartree equations Lin, A classification of solutions of a conformally invariant fourth order equation inR n,Comment

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:26:51.657681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T14:26:48.522370Z digest=sha256:179155146b6d05d28388e2fb194f832db01690daf0ac973f0bd1b324f3c118d4

Observation 309d0cbf-fcee-4a8d-b578-6abcd82260b2 · outbound

This paper cites Ma and L.

Local asymptotics for singular solutions to critical Hartree equations Ma and L

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:26:51.424688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 3722e35b-2c07-4a68-bac4-3474fdec1bc0 · outbound

This paper cites an unresolved cited work.

Local asymptotics for singular solutions to critical Hartree equations Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:26:51.250409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T14:26:48.686112Z digest=sha256:0e12524369f2117d99d7701af51833e9cfe00c1dcfd2a77a3f32b357aa7e8dc2

Observation d38fb346-8f36-4ffe-a20a-4c2c244e2657 · outbound

This paper cites Forum Math.27(2015) 373–447.

Local asymptotics for singular solutions to critical Hartree equations Forum Math.27(2015) 373–447

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:26:51.007034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T14:26:48.804187Z digest=sha256:f4890ec2cb2f875926eba2eefdbf7e185bf46e3a96379987e3e1a6b1f3be32dd

Observation bf58ceb8-b596-4e03-b94c-e341b1edefca · outbound

This paper cites Moroz and J.

Local asymptotics for singular solutions to critical Hartree equations Moroz and J

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:26:50.841027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T14:26:48.885896Z digest=sha256:2b6972479d8697e95769e9c0807a44f0d54b78786f151c092aa94e78ff37ffdd

Observation eb162af2-5e04-4840-91e8-084e9b99c32f · outbound

This paper cites Pekar,Untersuchung¨uber die Elektronentheorie der Kristalle, Akademie Verlag, Berlin (1954).

Local asymptotics for singular solutions to critical Hartree equations Pekar,Untersuchung¨uber die Elektronentheorie der Kristalle, Akademie Verlag, Berlin (1954)

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:26:50.659982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T14:26:48.923745Z digest=sha256:fbc53fd06fab2f4e53c98ef2a62c2eeadc3c209536fac4757ab365292314bfaa

Observation 4d505632-913a-4bcf-a4ef-20a5eb78916b · outbound

This paper cites On constant Q-curvature metrics with isolated singularities.

Local asymptotics for singular solutions to critical Hartree equations On constant Q-curvature metrics with isolated singularities

Reference 43

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:26:49.642235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T14:26:48.973776Z digest=sha256:7dc6f5bcca567348377c54aeb136a86f771ce075f01e0e5e4ea293577319b2fd

Observation 9b576621-3e7b-42e2-8687-c69d527396cd · outbound

This paper cites Rodemich,The Sobolev inequality with best possible constant, Analysis Seminar Caltech, Spring (1966).

Local asymptotics for singular solutions to critical Hartree equations Rodemich,The Sobolev inequality with best possible constant, Analysis Seminar Caltech, Spring (1966)

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:26:50.475779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T14:26:49.046115Z digest=sha256:0838dff8388593ec1a4908274f3d0d98275d35fe19d36a6e3f398fae53a847d5

Observation b8dde4a8-b838-4749-920d-801d3e30821e · outbound

This paper cites an unresolved cited work.

Local asymptotics for singular solutions to critical Hartree equations Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:26:50.277485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T14:26:49.154681Z digest=sha256:82d9d2fe8f6a107b18ff74d938427fa99982e66e2da1fc53c39e228f64cc0868

Observation 2246a412-b2b8-45eb-ba0f-c99e9262093b · outbound

This paper cites Squassina, M.

Local asymptotics for singular solutions to critical Hartree equations Squassina, M

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:26:50.089811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T14:26:49.242643Z digest=sha256:5a972731e1206ba7826f29b28c9b815c10b95abddf8b4c1dd10197f16b8a54cb

Observation 481c584e-784b-488f-8c2c-4476b39ce80b · outbound

This paper cites Talenti, Best constant in Sobolev inequality,Ann.

Local asymptotics for singular solutions to critical Hartree equations Talenti, Best constant in Sobolev inequality,Ann

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:26:49.890450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T14:26:49.396214Z digest=sha256:5ca21278b03af2345513fbb9b2fd74dfb90d680d410c8ebfb5c681433a69e9ea

Pith citing papers

Observation 5a6c960e-f29f-4011-bcd9-e3860ec2a793 · inbound

Delaunay solutions to the fractional Hartree equation with critical growth cites this paper.

Delaunay solutions to the fractional Hartree equation with critical growth Local asymptotics for singular solutions to critical Hartree equations

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-16T00:39:37.999111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-16T00:39:37.599523Z digest=sha256:48d1c3c6688e622d70c7ee5c4293b2cf222039e90748a24211e0fb3eb738e005