Paper Citation Record · LEDGER

Optimal Sobolev inequalities of high order with $L^2$-remainder

As of 18 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 1 inbound Pith citation observation for arXiv:2506.17028.

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

pith.paper-citation-record.v1
2506.17028 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:25:21.905566Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T06:36:58.184963Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T14:33:31.245469Z

Reference resolution

39 of 39 outbound references displayed

verified exact0
verified fuzzy13
unresolved26
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 707e4c96-0a2d-42fa-9f22-b862acb847e9 · outbound

This paper cites Agmon, A.

Optimal Sobolev inequalities of high order with $L^2$-remainder Agmon, A

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:25:22.377140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b685a02a-ec79-4209-8158-94fac15d1e0c · outbound

This paper cites an unresolved cited work.

Optimal Sobolev inequalities of high order with $L^2$-remainder Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:25:22.366165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4eb121d8-cb7a-4007-9cac-64367945e363 · outbound

This paper cites an unresolved cited work.

Optimal Sobolev inequalities of high order with $L^2$-remainder Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:25:22.355251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 269fa9cf-0fd9-4c16-a281-b92c6e3444c5 · outbound

This paper cites London Math.

Optimal Sobolev inequalities of high order with $L^2$-remainder London Math

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:25:22.344357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a090fece-1264-4c49-b401-1a3d5bb76ba4 · outbound

This paper cites Differential Equations 419 (2025), 370–417.

Optimal Sobolev inequalities of high order with $L^2$-remainder Differential Equations 419 (2025), 370–417

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:25:22.333705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 56754d61-ba17-4ea8-8926-7b978dd432fa · outbound

This paper cites an unresolved cited work.

Optimal Sobolev inequalities of high order with $L^2$-remainder Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:25:22.322129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 04ab5f9e-afe9-4649-9c4f-7a7a5897fbaa · outbound

This paper cites an unresolved cited work.

Optimal Sobolev inequalities of high order with $L^2$-remainder Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:25:22.310355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 91330636-29ba-47cf-b7d7-edb579e1ca3d · outbound

This paper cites an unresolved cited work.

Optimal Sobolev inequalities of high order with $L^2$-remainder Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:25:22.298877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d125d809-b551-47ff-8b39-6a518bd55a36 · outbound

This paper cites an unresolved cited work.

Optimal Sobolev inequalities of high order with $L^2$-remainder Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:25:22.287752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6e5e21f5-d3e7-4285-b092-b24d98b57df0 · outbound

This paper cites Differential Equations 7 (2002), no.

Optimal Sobolev inequalities of high order with $L^2$-remainder Differential Equations 7 (2002), no

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:25:22.276070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2c69b630-bdc9-457e-a44d-003e43fb8222 · outbound

This paper cites PDE 2 (2009), no.

Optimal Sobolev inequalities of high order with $L^2$-remainder PDE 2 (2009), no

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:25:22.264206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 662b6535-0566-4ae3-9b75-657d8f1a4681 · outbound

This paper cites 45, Princeton University Press, Princeton, NJ, 2004.

Optimal Sobolev inequalities of high order with $L^2$-remainder 45, Princeton University Press, Princeton, NJ, 2004

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T19:25:21.797812Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e92e3062-12a4-4c4f-9cae-9e69a1446deb · outbound

This paper cites an unresolved cited work.

Optimal Sobolev inequalities of high order with $L^2$-remainder Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:25:22.246690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation cdef5e25-a70a-4b33-9100-3709e8d3c439 · outbound

This paper cites an unresolved cited work.

Optimal Sobolev inequalities of high order with $L^2$-remainder Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:25:22.235880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6724862a-26e7-47dd-9975-b7eb32acacf4 · outbound

This paper cites Robin Graham, The ambient metric, Annals of Mathematics Stud- ies, vol.

Optimal Sobolev inequalities of high order with $L^2$-remainder Robin Graham, The ambient metric, Annals of Mathematics Stud- ies, vol

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:25:22.224642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1e6ff032-fdb5-4399-8398-1e177db8f183 · outbound

This paper cites an unresolved cited work.

Optimal Sobolev inequalities of high order with $L^2$-remainder Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:25:22.212954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a1f0ca82-0a79-49a4-bb45-70ae53b0bdff · outbound

This paper cites Robin Graham, Ralph Jenne, Lionel J.

Optimal Sobolev inequalities of high order with $L^2$-remainder Robin Graham, Ralph Jenne, Lionel J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:25:22.200899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0b73f504-f383-4901-9ca3-546f330e2e68 · outbound

This paper cites 5, New York University, Courant Institute of Mathemat- ical Sciences, New York; American Mathematical Society, Providence, RI, 1999.

Optimal Sobolev inequalities of high order with $L^2$-remainder 5, New York University, Courant Institute of Mathemat- ical Sciences, New York; American Mathematical Society, Providence, RI, 1999

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:25:22.187668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 91123900-b385-42db-941d-8634026eb24f · outbound

This paper cites an unresolved cited work.

Optimal Sobolev inequalities of high order with $L^2$-remainder Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:25:22.173887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5370ef0a-020d-41c1-94e9-b6107cfd5d17 · outbound

This paper cites an unresolved cited work.

Optimal Sobolev inequalities of high order with $L^2$-remainder Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:25:22.161672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9de2bbc5-429f-4108-af06-f3f0e6cb1f28 · outbound

This paper cites an unresolved cited work.

Optimal Sobolev inequalities of high order with $L^2$-remainder Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:25:22.149917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b15bd48b-611b-4012-838b-469f81da3575 · outbound

This paper cites Khuri, Fernando C.

Optimal Sobolev inequalities of high order with $L^2$-remainder Khuri, Fernando C

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:25:22.138329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5d947dfb-48a4-4a23-870c-fe8f7a181865 · outbound

This paper cites Lee and Thomas H.

Optimal Sobolev inequalities of high order with $L^2$-remainder Lee and Thomas H

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:25:22.126642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2024988d-f7a4-4d4b-82ae-6b311b1f2b91 · outbound

This paper cites an unresolved cited work.

Optimal Sobolev inequalities of high order with $L^2$-remainder Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-15T19:25:21.843195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 90101c47-560d-43b9-a281-48f22405a384 · outbound

This paper cites Differential Equations 261 (2016), no.

Optimal Sobolev inequalities of high order with $L^2$-remainder Differential Equations 261 (2016), no

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:25:22.105560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e0215564-fee6-481d-9026-bdbb587fc59f · outbound

This paper cites an unresolved cited work.

Optimal Sobolev inequalities of high order with $L^2$-remainder Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:25:22.094357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 14f3cc16-9662-43ce-8fa9-db5f906e9aa1 · outbound

This paper cites an unresolved cited work.

Optimal Sobolev inequalities of high order with $L^2$-remainder Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:25:22.083352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b99d61bb-120a-457a-ae4a-c8f279d85e38 · outbound

This paper cites an unresolved cited work.

Optimal Sobolev inequalities of high order with $L^2$-remainder Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:25:22.071619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1f36d8ce-1da6-4f19-9edb-3732087f8f08 · outbound

This paper cites an unresolved cited work.

Optimal Sobolev inequalities of high order with $L^2$-remainder Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:25:22.058777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 314b8b52-e811-4ee4-b41e-52202d271e21 · outbound

This paper cites an unresolved cited work.

Optimal Sobolev inequalities of high order with $L^2$-remainder Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:25:22.047121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e630871e-d8d3-44f6-8f72-febe85c3c54b · outbound

This paper cites an unresolved cited work.

Optimal Sobolev inequalities of high order with $L^2$-remainder Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:25:22.035343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7cec60bd-87a4-4282-8978-ed37bc7d1c5a · outbound

This paper cites Unpublished notes.

Optimal Sobolev inequalities of high order with $L^2$-remainder Unpublished notes

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:25:22.022827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 71ba6546-2cf0-43da-8f59-46c80eab60d8 · outbound

This paper cites Localization of bubbling for high order nonlinear equations.

Optimal Sobolev inequalities of high order with $L^2$-remainder Localization of bubbling for high order nonlinear equations

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-15T19:25:21.879895Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0842453c-de35-434e-b98b-342af8012c63 · outbound

This paper cites an unresolved cited work.

Optimal Sobolev inequalities of high order with $L^2$-remainder Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:25:22.011427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e7bad036-b4e7-457a-8bd2-1fece4b1705a · outbound

This paper cites an unresolved cited work.

Optimal Sobolev inequalities of high order with $L^2$-remainder Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:25:21.998484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e826f08b-68a4-4a3d-8a82-ad14862b1c68 · outbound

This paper cites Swanson, The best Sobolev constant , Appl.

Optimal Sobolev inequalities of high order with $L^2$-remainder Swanson, The best Sobolev constant , Appl

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:25:21.986725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 70e051de-e381-42f2-a64f-1741c2ff6ae5 · outbound

This paper cites an unresolved cited work.

Optimal Sobolev inequalities of high order with $L^2$-remainder Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:25:21.974791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3c3bbc8c-2b79-43ba-8058-bea7961d1bcd · outbound

This paper cites an unresolved cited work.

Optimal Sobolev inequalities of high order with $L^2$-remainder Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:25:21.962305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7353747c-bd6c-4e8e-8dd8-3fe2906cbcc4 · outbound

This paper cites an unresolved cited work.

Optimal Sobolev inequalities of high order with $L^2$-remainder Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:25:21.949705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

Observation 39da4cd3-7b2a-40aa-a749-2b6081832e8e · inbound

A priori bounds for energy-bounded solutions of critical polyharmonic equations cites this paper.

A priori bounds for energy-bounded solutions of critical polyharmonic equations Optimal Sobolev inequalities of high order with $L^2$-remainder

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-06-29T14:33:31.247000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.