Paper Citation Record · LEDGER

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel

As of 7 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2607.06382.

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

pith.paper-citation-record.v1
2607.06382 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T00:40:22.948951Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+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

43 of 43 outbound references displayed

verified exact0
verified fuzzy31
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d81bfe91-f058-4a8e-9bce-e87f3122a03b · outbound

This paper cites Allen-Zhu and Y.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Allen-Zhu and Y

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:45.940266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 1ec63a9e-7c89-465d-b686-2c88a3f1e520 · outbound

This paper cites an unresolved cited work.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-07-11T00:47:45.970272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 0e2982fb-d295-442f-a85e-1fefd0e29059 · outbound

This paper cites Cho and L.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Cho and L

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:46.779303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 82887c9c-bea8-4603-8efb-ef415a0ea976 · outbound

This paper cites Arora, S.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Arora, S

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:46.808428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation a02fd253-d851-4e85-8529-1155e6009806 · outbound

This paper cites Arora, S.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Arora, S

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:46.701689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 4da23eab-8a73-4d67-a16e-24c7f192b7b9 · outbound

This paper cites an unresolved cited work.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-07-11T00:47:46.890134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 5c647415-d271-459b-ae26-b3509b268457 · outbound

This paper cites an unresolved cited work.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-07-11T00:47:46.642787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation a3f6cc5b-d5c9-4a16-96d3-6a1caa89103b · outbound

This paper cites Basri, D.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Basri, D

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:46.675006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 6d124425-5faa-4e32-ac6c-b37118090a26 · outbound

This paper cites Bietti and F.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Bietti and F

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:46.727532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 870e4a58-b432-42e9-8a00-af2594f48cf9 · outbound

This paper cites Bietti and J.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Bietti and J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:46.918591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 8b1276d5-c67f-4191-99ef-a2b09f6cbc48 · outbound

This paper cites Caponnetto and E.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Caponnetto and E

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:46.592138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 8283ce6f-6fcd-4476-bd24-163d3430380d · outbound

This paper cites an unresolved cited work.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-07-11T00:47:46.053998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 320f3070-3e7f-4573-8d13-881ab2d7166c · outbound

This paper cites Daniely and E.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Daniely and E

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:46.139850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 2f6125eb-974c-4c83-9c2e-e2271cd2958e · outbound

This paper cites an unresolved cited work.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-07-11T00:47:46.617192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 53e06df0-903e-48ab-8fc9-a09a993d7657 · outbound

This paper cites Eldan and O.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Eldan and O

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:46.025721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 5a8f529f-e723-4e33-b4e9-fbd5eedc1ced · outbound

This paper cites Geiger, A.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Geiger, A

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:46.568672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 21aea993-5228-41f6-abee-b9d223dc8e33 · outbound

This paper cites Ghorbani, S.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Ghorbani, S

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:46.943539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation e43878b9-cd60-4f70-97fe-e31da897762c · outbound

This paper cites Jacot, F.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Jacot, F

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:46.968860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 618c213b-8131-49ac-85ae-191ed085b7d9 · outbound

This paper cites Kumar, R.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Kumar, R

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:46.471514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 612bb78a-7594-46c9-a77a-41d18dca880d · outbound

This paper cites an unresolved cited work.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-07-11T00:47:46.191572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 669f1405-15df-4b72-980f-92fa96dafa07 · outbound

This paper cites Mohri, A.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Mohri, A

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:46.398441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation dc9ed22f-3a46-411c-990e-591205b1c08b · outbound

This paper cites Ongie, R.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Ongie, R

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:46.374978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 16374e18-5a80-455e-9d51-13cc9d4aa6cd · outbound

This paper cites Parhi and R.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Parhi and R

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:46.349129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 6d577c54-61d6-43a8-ad2b-b721e3846908 · outbound

This paper cites Parhi and R.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Parhi and R

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:46.295053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 2b617033-0deb-4ab0-b3b6-bdf128d0ed27 · outbound

This paper cites Parhi and R.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Parhi and R

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:46.423273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 33706299-ecdf-47e2-a10e-efd1bcfae40e · outbound

This paper cites Savarese, I.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Savarese, I

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:46.496461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 5af78119-307a-4d32-b566-1c422310d0d2 · outbound

This paper cites Schmidt-Hieber.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Schmidt-Hieber

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:46.217023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 4a7e653c-e505-4743-b101-77d733fbbfb8 · outbound

This paper cites Shalev-Shwartz and S.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Shalev-Shwartz and S

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:46.168774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 81447bfc-54bc-43c8-b637-2a91682174fc · outbound

This paper cites an unresolved cited work.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-07-11T00:47:46.270386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 3dedab3b-7ea8-45c5-ace1-ff0ef6871779 · outbound

This paper cites an unresolved cited work.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-07-11T00:47:46.544463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation b87c4dd3-36e9-4a56-a44d-d0225a9e0e23 · outbound

This paper cites Telgarsky.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Telgarsky

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:46.519634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation f66e84c0-8130-403a-8e7c-1618b6b319af · outbound

This paper cites an unresolved cited work.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-07-11T00:47:46.244876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 117ebf6c-f734-490a-9428-72eb4678f31f · outbound

This paper cites Yang and A.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Yang and A

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:46.107420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation b4e84bcf-6e5c-40a7-bc91-95743e3a4490 · outbound

This paper cites an unresolved cited work.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-07-11T00:47:46.080897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 08ae9bdb-598c-4c65-968a-915bdb5cad29 · outbound

This paper cites Malach, G.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Malach, G

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:46.446001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation d38dc2af-70a8-4d41-ba02-2e9103c95ecc · outbound

This paper cites Golowich, A.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Golowich, A

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:46.320430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation ef7215db-8a4e-42db-aed2-67a06d0bc625 · outbound

This paper cites an unresolved cited work.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-07-11T00:47:45.879327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 2f90fcdc-969e-4331-952b-6a6f285d7339 · outbound

This paper cites an unresolved cited work.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-07-11T00:47:46.862889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 06fb6e89-77cb-4e4f-a438-df639cdfa863 · outbound

This paper cites Geifman, A.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Geifman, A

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:46.834932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 8095791a-e0ed-4625-9c7b-382e9d15a41f · outbound

This paper cites Chen and S.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Chen and S

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:45.849901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 126d73a7-21b2-4482-91b4-a727f3fcb11e · outbound

This paper cites Cagnetta, L.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Cagnetta, L

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:46.751897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation ab7d1fd1-c03b-44ee-9e27-e40523c454a2 · outbound

This paper cites Cagnetta, A.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Cagnetta, A

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:45.998757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation a7b65ef4-1d82-4f5f-b652-3e0a6ca0e38e · outbound

This paper cites Yang and D.-X.

A Function-Space Dichotomy for Compositional Learning: Exponential Sub-Optimality of the Neural Tangent Kernel Yang and D.-X

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:47:45.909503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Pith citing papers

No inbound Pith citation observations are available.