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Paper Citation Record · LEDGER

Gradient flow in the kernel learning problem

As of 22 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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:27:27.596675Z digest=sha256:9b0438b2ac4dae1b711da4ed34b651947d18a9acbcf1e4197f72c77e9628a654

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:27:27.602135Z digest=sha256:92dcae6edc5df35078f08074762935b1b2173294a3739d327048b6bbe7fcf2b1

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:27:27.607997Z digest=sha256:b6dae70fb9e0290b0df4e7ef60bbe67925f526567e97f150f4e6e57664e7c3ba

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:27:27.613044Z digest=sha256:7ef3a4ef07b19a9e11b851034153bf232e7484db7e7f279ffeea677744cffcb0

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:27:27.617770Z digest=sha256:031ec62e5566c8e9acc5d4865712daa6bad959d27d791be83777b7a1ab8b5449

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:27:27.628130Z digest=sha256:0f946b08181b8b0631da958b99a55fd127f031a634cd3a920dccca5d3a430961

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:27:27.632857Z digest=sha256:1e24b609c1b93a60952fb9c362950583648cb483862d6b0bb4003e94085fcd3f

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:27:27.637307Z digest=sha256:f022b536af944f884bab04c716e60216df7aa038bf807e75066e58faf98d4201

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:27:27.641596Z digest=sha256:2525bbd10f52bb96648de161136b0aaefccf313a408574c5621a2f73c5a0b48d

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:27:27.645960Z digest=sha256:d06df2260efde7b996a78de98d285e3801040efa4afcf5ce62ebf69ec77dc867

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:27:27.650433Z digest=sha256:1308e62f7b8e370da557c6a7413e71a2feab7c8f4527f906647f213d6b25f14e

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:27:27.654825Z digest=sha256:0567204aa3505b4f56ecbec9f2e10ca7e9817e76c253f82d85382bbc52260a01

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

This paper cites A Variational Analysis of Kernel Learning with Learnable Linear Transformations.

Gradient flow in the kernel learning problem A Variational Analysis of Kernel Learning with Learnable Linear Transformations

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:27:27.659466Z digest=sha256:f9db336193a279be8a973bfd93d6dfcc9a24c4f910d5c273247868a5afa48a81

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:27:27.664532Z digest=sha256:896e9cb2eda9d06b754d90f5fa9dfbc2eb0f09dff175893f3791fab15481fd67

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:27:27.669085Z digest=sha256:4b13acac296fca17f85b8cf433a0db7d79e8b2bd551307d424a2f7ba86b61610

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:27:27.673356Z digest=sha256:8dad209d246590f5f027ba73822dcb72417457dbc378cb6f7dc4c1cb5269860e

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:27:27.677593Z digest=sha256:3ae9f1055d2c721af3c5f62ea6ee5ca57fc41dca7f7c19fc847f4b4cbcf18761

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T05:27:27.682085Z digest=sha256:effae0fe94f581fff5371b0479a340471d34e323be86cdfe0d16baac6cef06a2

Pith citing papers

No inbound Pith citation observations are available.