Pith. sign in

Paper Citation Record · LEDGER

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime

As of 13 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2411.13132.

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

pith.paper-citation-record.v1
2411.13132 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T17:01:36.785644Z

measured 26 of 26 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

26 of 26 outbound references displayed

  • verified exact0
  • verified fuzzy16
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5c94d1d9-705e-4d45-bf98-8318317e1b8b · outbound

This paper cites Bao and Y.

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime Bao and Y

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:01:37.185895Z

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.

source=pdf_text observed=2026-08-12T17:01:36.670337Z digest=sha256:6b3b1b9faffc368d621db0c37faa479cc9c628554559749ef91346c82fa4913d

Observation 153e30ef-fd0c-429f-8510-0e211ffb9ece · outbound

This paper cites Bao and Y.

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime Bao and Y

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:01:37.171315Z

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.

source=pdf_text observed=2026-08-12T17:01:36.675746Z digest=sha256:b21ddc899e007c0cc1556acb90c3852732e4b3d961a04d3fd90d987be3046219

Observation 55deba8f-0914-4b8c-b56d-d8c2d9f5f0c9 · outbound

This paper cites an unresolved cited work.

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-12T17:01:37.157407Z

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.

source=pdf_text observed=2026-08-12T17:01:36.680457Z digest=sha256:4fc094277b2ac55bb6e2a9049ccabbd2358ae226b7bd2196e8e8cc5b3c63f27b

Observation 5ec571bd-7761-4feb-af3f-2619a56cdfec · outbound

This paper cites Bao and X.

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime Bao and X

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:01:37.143499Z

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.

source=pdf_text observed=2026-08-12T17:01:36.685216Z digest=sha256:60d62df5b66789dc807c6c28b41813d8c93ed3548fbefacec0695b4110ec3d6a

Observation f14731c3-2f34-4773-8b85-e0e072b0b901 · outbound

This paper cites an unresolved cited work.

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-12T17:01:37.129138Z

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.

source=pdf_text observed=2026-08-12T17:01:36.690311Z digest=sha256:3b64a4a30367eed22f8f8b1f2dbc35b27baffba171a4375c3a9880b1e9781baf

Observation 68c385c2-f816-417c-814a-647538e26f68 · outbound

This paper cites Bao and X.

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime Bao and X

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:01:37.114348Z

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.

source=pdf_text observed=2026-08-12T17:01:36.695179Z digest=sha256:66be7c3e64538243769c4fad724875a756e578b08c6eb117747b948ff85773d3

Observation e25f68bd-1b7c-44a1-8b0e-dd92b455d8fc · outbound

This paper cites Bao and X.

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime Bao and X

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:01:37.100690Z

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.

source=pdf_text observed=2026-08-12T17:01:36.699938Z digest=sha256:3d335ccc692c827896ed7f79869af4cb4756838b73bd1e2730cc0e6658429c47

Observation b740ff64-8430-4e25-99fc-9f0b8f726279 · outbound

This paper cites Chartier, N.

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime Chartier, N

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:01:37.085635Z

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.

source=pdf_text observed=2026-08-12T17:01:36.704552Z digest=sha256:1d32f410cb975a2a7b5847ed7430cab1b9a0af95b7c841634350208cb7d2d735

Observation 7bed4b40-dac0-4a94-9703-10098fe8ccb7 · outbound

This paper cites Chartier, J.

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime Chartier, J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:01:37.071669Z

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.

source=pdf_text observed=2026-08-12T17:01:36.709470Z digest=sha256:3653ba1ebd2ffdb0396bde13530a2ce32b2215dd0ff3c52099b376a767fa05fd

Observation b61bb195-6cd3-4dca-ab74-fffe2146b7c7 · outbound

This paper cites an unresolved cited work.

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-12T17:01:37.057700Z

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.

source=pdf_text observed=2026-08-12T17:01:36.713988Z digest=sha256:9f433bfaa07bfbd90d6f61d8ab85a391bd156c1072f9f85895148091af84351f

Observation f0507846-16a9-4a28-8557-30446dbe7449 · outbound

This paper cites Cohen, E.

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime Cohen, E

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:01:37.043686Z

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.

source=pdf_text observed=2026-08-12T17:01:36.718454Z digest=sha256:a19cb863c789e8ddab8ee679f6911c751b8893755d80a05a6361c55c60658547

Observation bceecad5-c5b7-49c0-9b16-99ef30c84a07 · outbound

This paper cites an unresolved cited work.

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T17:01:37.029723Z

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.

source=pdf_text observed=2026-08-12T17:01:36.722956Z digest=sha256:845d6baaaa50eae4bc0ead8f66599ee3a9d2156b095c59e4d3c02a405c8c92da

Observation 7f6bc946-3db3-40f6-bcec-9ffef17ef4c9 · outbound

This paper cites an unresolved cited work.

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-12T17:01:37.015555Z

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.

source=pdf_text observed=2026-08-12T17:01:36.727528Z digest=sha256:f112124264855e780a047a8e56ae05fae0055713add1f4cbd971fbb1b198372f

Observation a12090dc-57ab-4afc-976e-9bc7d6290e5d · outbound

This paper cites an unresolved cited work.

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-12T17:01:37.001191Z

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.

source=pdf_text observed=2026-08-12T17:01:36.732039Z digest=sha256:aaa5f00987b63b064a3e5c2d01fb948467f8d29e00782adab438ef6899a81250

Observation 1bb8abfd-e5ef-4e2d-afc4-ffe54878daa0 · outbound

This paper cites Faou and K.

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime Faou and K

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:01:36.987208Z

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.

source=pdf_text observed=2026-08-12T17:01:36.736727Z digest=sha256:37249dba6c7a5d37e021c4278489f913ed54fb269074f08b98d465dd50291417

Observation 989b2c1c-2523-4044-9e5c-a0cc28a96e30 · outbound

This paper cites Faou and K.

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime Faou and K

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:01:36.973208Z

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.

source=pdf_text observed=2026-08-12T17:01:36.741236Z digest=sha256:8f3fa0e75cd04234ee12b5529ea99bb686d0766dcd94b685758026bf56cc5027

Observation c7eeba87-5ef8-4020-9af8-d076488651d4 · outbound

This paper cites Ginibre and G.

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime Ginibre and G

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:01:36.958909Z

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.

source=pdf_text observed=2026-08-12T17:01:36.745504Z digest=sha256:c96810850f5b24898b1795139371c4f435f984825bacb0e1c7aafbaf3c4756a8

Observation 6b4414bd-1567-4455-88fc-0884e39e7789 · outbound

This paper cites Hairer, M.

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime Hairer, M

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:01:36.944595Z

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.

source=pdf_text observed=2026-08-12T17:01:36.749648Z digest=sha256:a5b3c9850a3bb7757e7f5a2907463cf66d0034c393a2d324c72f726c9be29dc9

Observation 071eaf47-59e5-4c09-82b3-29572fea1157 · outbound

This paper cites an unresolved cited work.

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-12T17:01:36.930397Z

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.

source=pdf_text observed=2026-08-12T17:01:36.754029Z digest=sha256:2ed03104130a7434199c3afb19c12ce330bad0af10c9df999aa6fc1298a09040

Observation 80bfc093-42f0-4da0-8149-6eb5117ffbd4 · outbound

This paper cites Killip, T.

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime Killip, T

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:01:36.915288Z

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.

source=pdf_text observed=2026-08-12T17:01:36.758221Z digest=sha256:791855891d79524bd5a87222c9e2f435ed41f7b63d827d0a75ad4a4f6a3104ef

Observation 243bf1e6-e6ed-415c-8f54-9998a60b19ed · outbound

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

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime Non-relativistic limit for the cubic nonlinear Klein-Gordon equations

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-12T17:01:36.762762Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T17:01:36.762762Z digest=sha256:93a816f5913a79026e7409712ca52b1b4f26ed549bccedfe938d0d32aeb0b3f6

Observation 2eb3cf59-5b45-4990-b196-aec2908d0961 · outbound

This paper cites an unresolved cited work.

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-12T17:01:36.899272Z

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.

source=pdf_text observed=2026-08-12T17:01:36.767791Z digest=sha256:cfa125a2fb818911ed6a5e305721e86491cae1dd5ce8e3ea7d042de345f57fde

Observation ea09e0cb-ff78-47e0-8f63-beea95b588e7 · outbound

This paper cites Masmoudi and K.

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime Masmoudi and K

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:01:36.883221Z

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.

source=pdf_text observed=2026-08-12T17:01:36.772184Z digest=sha256:de08c26c11a5f9abca4c802d76830642f318fd085e9624b41282398a6f6e3be0

Observation 5c1f27d7-4bc2-4777-8ba8-33b2a2f446e5 · outbound

This paper cites Masmoudi and K.

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime Masmoudi and K

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:01:36.867950Z

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.

source=pdf_text observed=2026-08-12T17:01:36.776871Z digest=sha256:a36a4a56c232bdc9c915877111566e861ea05319851c334716f5c55d784ba4b7

Observation c95e1825-ac1b-41bc-a599-ab69fb27f6ca · outbound

This paper cites Schratz and X.

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime Schratz and X

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:01:36.852860Z

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.

source=pdf_text observed=2026-08-12T17:01:36.781131Z digest=sha256:399902fab4299b6d89085b124e17d60235031cdc2bd4b6b371afa4e500e00a0e

Observation b30050fa-c729-4d1d-b749-aef0caf98fc4 · outbound

This paper cites an unresolved cited work.

High-order asymptotic expansion for the nonlinear Klein-Gordon equation in the non-relativistic limit regime Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-12T17:01:36.837704Z

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.

source=pdf_text observed=2026-08-12T17:01:36.785644Z digest=sha256:c1158c0f5b15def189b52cf30b2b55d14dd5333952b07efe5b0a39a1c9eaebc7

Pith citing papers

No inbound Pith citation observations are available.