Paper Citation Record · LEDGER

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks

As of 11 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2603.12785.

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

pith.paper-citation-record.v1
2603.12785 v2

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T22:07:36.742862Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

40 of 40 outbound references displayed

verified exact0
verified fuzzy0
unresolved40
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c4bb426d-14df-4163-ad4a-34a6cb656f28 · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 62cff789-60d5-4caf-97f6-7509457e8d40 · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33c3310b-34bb-4f91-99d9-10d54a859229 · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ace79031-fa57-462a-b448-7af4154e01e0 · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a95a7b2-634f-4300-a0ed-61e082464535 · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a13557d0-b6f5-409f-80d4-ccd3b625c7f4 · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 93494ee2-f748-4e1f-9a6b-424b82006432 · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation febcd4cd-9b47-4f2f-ba33-785c55fab40b · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 63a0a4a9-4f88-479f-b19a-5bbab91e2e84 · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 28313cab-da3e-44ca-a3a0-ba9183debfd1 · outbound

This paper cites Singular leaning coefficients and efficiency in learning theory.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Singular leaning coefficients and efficiency in learning theory

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8b2c5d10-13e4-46c5-b296-b5732d99c75b · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 344b9837-d12a-443c-87a7-2b6c1a6b7b7f · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64fc1858-161a-43a2-b9c2-445dc3c796ae · outbound

This paper cites W., & Salamon, D.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks W., & Salamon, D

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d649095-e12a-432c-8355-db909b0fd552 · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ddf26ff1-8702-4976-99e0-3e12582ad5af · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd61a53a-6df9-4692-82f7-8e1d97843e7d · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 687bb423-d564-436d-8249-dd9139ad627d · outbound

This paper cites Estimating Real Log Canonical Thresholds.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Estimating Real Log Canonical Thresholds

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a1fe20e4-cf0a-4533-8b5f-4b26a84b172b · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca7a824e-0f89-4b82-a2e8-e5badf57c38e · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c88c6f0-5f30-47c6-b6c7-45f62e73b9ac · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c712432f-b0ad-4197-964c-8cb5a925463c · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb8ae320-ff49-488f-a57f-c71e0026fc99 · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 277268fd-00ad-4dd6-b3d4-91c439271ffd · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 893166d9-2e1a-4967-b115-666d9b64a8df · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 700b0920-17d7-4124-8ff7-18ab77011dbc · outbound

This paper cites Bayesian Generalization Error of Poisson Mixture and Simplex Vandermonde Matrix Type Singularity.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Bayesian Generalization Error of Poisson Mixture and Simplex Vandermonde Matrix Type Singularity

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7fa695a3-2707-48ac-926b-ac2707818a35 · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39252c0e-88f4-4f66-9eb5-9ee9c028d5fb · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2a0dad2-4896-442b-bbed-ecd0f1af1e28 · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0db7b0be-70d9-4486-97ce-bbf9da43d65c · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d339164f-2dfc-4a69-a1f4-005a97ddd514 · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dcfd719f-7af7-499e-9b8e-fa9838f5b155 · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a73cae0-a8bd-494e-9e7e-0571cb1c06e9 · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8fbfc152-7e83-4920-b35f-6eb1c9008f91 · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b1b3d3f0-cc87-4a71-84c7-972186aaf667 · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e4bf7987-5856-42bb-931b-24230e8fdd92 · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b419c55c-5fe1-427d-b288-18648af5673f · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 481760e1-da7a-48c9-9dde-f2a51f6244ac · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9798f888-ca82-4df7-87c7-fdbb58ed97fe · outbound

This paper cites , θ ′′ r , a ′′ 1, 1,.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks , θ ′′ r , a ′′ 1, 1,

Reference 38

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1951962a-735f-45e6-97fb-89b1d06d801d · outbound

This paper cites The above argument was given for CT5, but the same conclusion holds when CT6 is applied instead.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks The above argument was given for CT5, but the same conclusion holds when CT6 is applied instead

Reference 39

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 02e4ba08-7efb-429d-9f99-7a3f6ffec533 · outbound

This paper cites an unresolved cited work.

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-07-14T22:07:36.742862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.