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Paper Citation Record · LEDGER

Gradient flow in the kernel learning problem

As of 8 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2506.08550.

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

pith.paper-citation-record.v1
2506.08550 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:27:27.682085Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

20 of 20 outbound references displayed

  • verified exact1
  • verified fuzzy14
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9391bf56-e6b8-40d4-8257-59f4f7d1b320 · outbound

This paper cites Absil, R.

Gradient flow in the kernel learning problem Absil, R

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-07T05:27:27.591319Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:27:27.591319Z digest=sha256:2a60956d64d34b197b042d0dd53d3f945f200afaa33a1e6a7087c497052e34c9

Observation 6d8d8ce1-24f9-4fda-b4d8-eb101b49d3d3 · outbound

This paper cites Aronszajn,Theory of reproducing kernels, Trans.

Gradient flow in the kernel learning problem Aronszajn,Theory of reproducing kernels, Trans

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:27:28.109527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:27:27.596675Z digest=sha256:1c2e70f0fd408f3ae0455788ba1439d71b261d970c4de0604ba2ae0ce1cc90d6

Observation 22165724-65ce-4904-a017-2a48aaac35c3 · outbound

This paper cites Bach,Learning Theory from First Principles, MIT Press, 2024.

Gradient flow in the kernel learning problem Bach,Learning Theory from First Principles, MIT Press, 2024

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:27:28.095802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:27:27.602135Z digest=sha256:cc4bd8a4eff4578facff5c5e942fc35c356e2e60efbf777c30ac882d91932322

Observation fde2f35b-14a0-4f9e-ada1-975de578b530 · outbound

This paper cites Bach and L.

Gradient flow in the kernel learning problem Bach and L

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:27:28.081914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:27:27.607997Z digest=sha256:fdb3aba2b816f9f9d9148a359e0d8ae7545bd11c907e5af1a4220788237ca468

Observation 1f40180f-a2be-42a6-9da2-bd090dfef24b · outbound

This paper cites an unresolved cited work.

Gradient flow in the kernel learning problem Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:27:28.067891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:27:27.613044Z digest=sha256:ad862e670a21e94aeac6bc1518065b7b5dee9478d2f79c0f22844f8620e13a9c

Observation 5550b652-efd1-428d-8534-67ed6df5b561 · outbound

This paper cites Boumal.An Introduction to Optimization on Smooth Manifolds.

Gradient flow in the kernel learning problem Boumal.An Introduction to Optimization on Smooth Manifolds

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:27:28.053439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:27:27.617770Z digest=sha256:c8bdd0bc06382ceff7db473b418429db917cab48e023fecf7d6f30c77a49283e

Observation d95538f5-1b7f-4b08-bbbf-7964a5ff3579 · outbound

This paper cites automati- cally.

Gradient flow in the kernel learning problem automati- cally

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-07T05:27:27.622987Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:27:27.622987Z digest=sha256:abc68072f704f359c58636ed49189d9f684587de4d6f742efc18207168ae69da

Observation 71dbf449-641d-4440-8069-68ed80c03ba7 · outbound

This paper cites Cucker and S.

Gradient flow in the kernel learning problem Cucker and S

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:27:28.038978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:27:27.628130Z digest=sha256:13d860ae18bfa9e42f208fdd1d07656b60b7c5f4ea2b16bf2605de659f6fd24b

Observation 62b29daa-d2e6-428d-bb1e-325899b1213c · outbound

This paper cites Cybenko,Approximation by superpositions of a sigmoidal function, Math.

Gradient flow in the kernel learning problem Cybenko,Approximation by superpositions of a sigmoidal function, Math

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:27:28.025169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:27:27.632857Z digest=sha256:02487f691f650f7b56b36eb7779376ad406b57b8e5d39719ceca6c72ce0a637d

Observation 7bdf618c-41b1-44bb-beb9-dfdebb8f1ba9 · outbound

This paper cites Devroye, L.

Gradient flow in the kernel learning problem Devroye, L

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:27:28.011296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:27:27.637307Z digest=sha256:01d359cff95aefe1b04f8f3b478f54d3c4103767fee9582403ff32a275284878

Observation c1b6e9b3-2a90-43d7-b513-52a544f941e7 · outbound

This paper cites Gy¨ orfi, M.

Gradient flow in the kernel learning problem Gy¨ orfi, M

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:27:27.996521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:27:27.641596Z digest=sha256:5e671074558b24b5d8e7e1e885a51aab50f3e3db1063bde018177b1a27a02958

Observation 11f10d79-b305-4d7b-b91b-9b2f5e581f61 · outbound

This paper cites Helmke and J.

Gradient flow in the kernel learning problem Helmke and J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:27:27.981627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:27:27.645960Z digest=sha256:eb07abdbb1a903ee541d15ed5c7064862692bd1b9500f9b5f45f6b24e8d24b15

Observation a86c2a00-18fd-46b5-af54-401c96f14864 · outbound

This paper cites Ioffe and C.

Gradient flow in the kernel learning problem Ioffe and C

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:27:27.966961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:27:27.650433Z digest=sha256:921df27c2ae5c43ead5b2cb7cf5021421606d01967db560889a41b6cf13e2722

Observation 07d0d286-09ec-458e-af66-bddf5434cbc6 · outbound

This paper cites an unresolved cited work.

Gradient flow in the kernel learning problem Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:27:27.951635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:27:27.654825Z digest=sha256:46e90635d9f74173c87ccac50f6e0e8f9d9e8268799a39c0c2e4b0ae50804264

Observation 40f2cf0e-851d-4fda-b41d-dfd1fcc10269 · outbound

This paper cites On the kernel learning problem.

Gradient flow in the kernel learning problem On the kernel learning problem

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:27:27.724147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:27:27.659466Z digest=sha256:775f0565c85269c25c839aff8e0f2d00638b4af11fdea8a403211ec5ef432b19

Observation 1c372ab6-604f-45a9-9b58-5ecf349e25e5 · outbound

This paper cites an unresolved cited work.

Gradient flow in the kernel learning problem Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:27:27.935389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:27:27.664532Z digest=sha256:d4637e83c3a7c74991b04eaf27c10a80cc142b679bd31d3e3716dc577425fcd3

Observation 107fc3a5-054a-43f9-9d3a-6a4696baa428 · outbound

This paper cites Misiakiewicz and A.

Gradient flow in the kernel learning problem Misiakiewicz and A

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:27:27.920997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:27:27.669085Z digest=sha256:d35f108ed4013e6e80124902df2e79bd42882dc6b4c08965922d9a482cc13ab5

Observation 3a0a84f4-ef77-435f-ab14-6d9ff13db97f · outbound

This paper cites Pemantle,Nonconvergence to unstable points in urn models and stochas- tic approximations, Ann.

Gradient flow in the kernel learning problem Pemantle,Nonconvergence to unstable points in urn models and stochas- tic approximations, Ann

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:27:27.905435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:27:27.673356Z digest=sha256:d627081fa5fa163c037bbd22c59aa70eee9086e933a8ed6e94c83a75bca8ef67

Observation 1e1fdbe5-4676-4c29-b8d1-fcf193ec267c · outbound

This paper cites Rahimi and B.

Gradient flow in the kernel learning problem Rahimi and B

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:27:27.889114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:27:27.677593Z digest=sha256:fe4cad2fac0e7542d0c67ba2dab845196bfab4b6a4f024991e44d53749abea91

Observation fa746976-b18b-4795-9a0c-ad722feb8d1f · outbound

This paper cites Rotskoff and E.

Gradient flow in the kernel learning problem Rotskoff and E

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:27:27.874399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:27:27.682085Z digest=sha256:23fd16efe9b6de91e70b74a808c81e6b7606dc3f5c26255c6b90d54c54d9ebe8

Pith citing papers

No inbound Pith citation observations are available.