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Paper Citation Record · LEDGER

Error estimates in the non-relativistic limit for the two-dimensional cubic Klein-Gordon equation

As of 13 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2509.08271.

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

pith.paper-citation-record.v1
2509.08271 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T21:01:04.427800Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

22 of 22 outbound references displayed

  • verified exact1
  • verified fuzzy8
  • unresolved13
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation da9b1c25-d2bd-468f-8e72-7161ae8cf445 · outbound

This paper cites an unresolved cited work.

Error estimates in the non-relativistic limit for the two-dimensional cubic Klein-Gordon equation Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:01:06.656940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation c342b6e8-efba-4f75-ae27-6975cd5aa1be · outbound

This paper cites an unresolved cited work.

Error estimates in the non-relativistic limit for the two-dimensional cubic Klein-Gordon equation Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:01:06.642801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 896c67f9-7f89-444b-8570-d268f8a5c404 · outbound

This paper cites an unresolved cited work.

Error estimates in the non-relativistic limit for the two-dimensional cubic Klein-Gordon equation Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:01:06.627326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation bb617cc8-47df-406f-b69e-4184ee8e006e · outbound

This paper cites an unresolved cited work.

Error estimates in the non-relativistic limit for the two-dimensional cubic Klein-Gordon equation Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:01:06.612249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 5b84d30d-2d50-4043-8c77-83e150b0bf8d · outbound

This paper cites an unresolved cited work.

Error estimates in the non-relativistic limit for the two-dimensional cubic Klein-Gordon equation Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:01:06.597213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 44948bc7-624a-4ea1-baca-b78bda724dfe · outbound

This paper cites an unresolved cited work.

Error estimates in the non-relativistic limit for the two-dimensional cubic Klein-Gordon equation Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:01:06.582140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation d522d5dc-4960-4c13-967b-615d8fda32e3 · outbound

This paper cites an unresolved cited work.

Error estimates in the non-relativistic limit for the two-dimensional cubic Klein-Gordon equation Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:01:06.566531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation d09b7cb7-dd15-444f-b9ad-d5f65d2a209a · outbound

This paper cites Bourgain.

Error estimates in the non-relativistic limit for the two-dimensional cubic Klein-Gordon equation Bourgain

Reference 8

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation c85f7842-f220-4506-9700-0e5fca8eac33 · outbound

This paper cites an unresolved cited work.

Error estimates in the non-relativistic limit for the two-dimensional cubic Klein-Gordon equation Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:01:06.535672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation fae298a2-7209-476c-b481-6938b12e68f3 · outbound

This paper cites Ginibre, G.

Error estimates in the non-relativistic limit for the two-dimensional cubic Klein-Gordon equation Ginibre, G

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 0386e35d-f6f7-431a-ac65-63c5f07bc978 · outbound

This paper cites Ginibre, G.

Error estimates in the non-relativistic limit for the two-dimensional cubic Klein-Gordon equation Ginibre, G

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:01:06.505092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 5e3b3ef2-d540-4d12-9d11-1902fca623c5 · outbound

This paper cites Hayashi, M.

Error estimates in the non-relativistic limit for the two-dimensional cubic Klein-Gordon equation Hayashi, M

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:01:06.486366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 7f591ab4-f472-4692-94d6-e79adc5facd8 · outbound

This paper cites an unresolved cited work.

Error estimates in the non-relativistic limit for the two-dimensional cubic Klein-Gordon equation Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:01:06.378436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation a1db4852-b740-46fb-940b-f59f8145a0ae · outbound

This paper cites an unresolved cited work.

Error estimates in the non-relativistic limit for the two-dimensional cubic Klein-Gordon equation Unresolved cited work

Reference 14

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 9bf914dd-5c4c-4ff9-8db8-6942ccf4a5b9 · outbound

This paper cites Masmoudi, K.

Error estimates in the non-relativistic limit for the two-dimensional cubic Klein-Gordon equation Masmoudi, K

Reference 15

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 60d0c8bb-e70b-4aee-9851-e5c3937d44b3 · outbound

This paper cites an unresolved cited work.

Error estimates in the non-relativistic limit for the two-dimensional cubic Klein-Gordon equation Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:01:05.629389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 90b39082-e660-421c-92c9-1da61935b83f · outbound

This paper cites Machihara.

Error estimates in the non-relativistic limit for the two-dimensional cubic Klein-Gordon equation Machihara

Reference 17

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation dd459656-ed0f-4d84-9061-862b92c8a1e8 · outbound

This paper cites Machihara, K.

Error estimates in the non-relativistic limit for the two-dimensional cubic Klein-Gordon equation Machihara, K

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 2026-08-13T06:32:02.005865+00:00.

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Observation 820491f5-b217-4fa4-81ea-33346691647d · outbound

This paper cites an unresolved cited work.

Error estimates in the non-relativistic limit for the two-dimensional cubic Klein-Gordon equation Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:01:05.110541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 268369cd-9316-4aee-abbc-f8a49acbc2f1 · outbound

This paper cites an unresolved cited work.

Error estimates in the non-relativistic limit for the two-dimensional cubic Klein-Gordon equation Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:01:04.892366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 7b12fc37-ffaf-47f1-85ba-cd4784daa8eb · outbound

This paper cites Schratz, X.

Error estimates in the non-relativistic limit for the two-dimensional cubic Klein-Gordon equation Schratz, X

Reference 21

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation f16b9e0c-6d21-476b-8491-b546178b712f · outbound

This paper cites Non-relativistic limit for the cubic nonlinear Klein-Gordon equations.

Error estimates in the non-relativistic limit for the two-dimensional cubic Klein-Gordon equation Non-relativistic limit for the cubic nonlinear Klein-Gordon equations

Reference 22

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Pith citing papers

No inbound Pith citation observations are available.