Paper Citation Record · LEDGER

Singular leaning coefficients and efficiency in learning theory

As of 11 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 2 inbound Pith citation observations for arXiv:2501.12747.

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

pith.paper-citation-record.v1
2501.12747 v2

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T16:56:47.440584Z

measured 26 of 26 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-10T06:26:27.254337Z

Reference resolution

24 of 24 outbound references displayed

verified exact0
verified fuzzy12
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 56cad47f-b068-4b2e-adbc-67083653459a · outbound

This paper cites an unresolved cited work.

Singular leaning coefficients and efficiency in learning theory Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:56:47.855254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 36e80d19-e19c-483a-ba77-7b970af8d202 · outbound

This paper cites an unresolved cited work.

Singular leaning coefficients and efficiency in learning theory Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:56:47.840268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 43baf8ce-43bb-47c7-9533-ef510bd3ee34 · outbound

This paper cites an unresolved cited work.

Singular leaning coefficients and efficiency in learning theory Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:56:47.824798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d3cedbf8-a90e-47de-9290-b9ee77125f6a · outbound

This paper cites an unresolved cited work.

Singular leaning coefficients and efficiency in learning theory Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:56:47.810719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c49b7d2c-e4d4-481e-9b52-6375fd8a7521 · outbound

This paper cites an unresolved cited work.

Singular leaning coefficients and efficiency in learning theory Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:56:47.795340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 913af6d9-6d60-4e93-ac7e-a8904063cdae · outbound

This paper cites an unresolved cited work.

Singular leaning coefficients and efficiency in learning theory Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:56:47.778234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation bf68e115-ef39-431e-92b3-7529102492da · outbound

This paper cites an unresolved cited work.

Singular leaning coefficients and efficiency in learning theory Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:56:47.761655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f6c05635-e680-4fdf-bf83-f68eff46f8c8 · outbound

This paper cites Aoyagi and S.

Singular leaning coefficients and efficiency in learning theory Aoyagi and S

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:56:47.744051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2fc8cf3d-100a-4ef5-948d-6ce9761b621f · outbound

This paper cites an unresolved cited work.

Singular leaning coefficients and efficiency in learning theory Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:56:47.727482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 74218004-b30c-40d5-8128-269226174973 · outbound

This paper cites Drton, S.

Singular leaning coefficients and efficiency in learning theory Drton, S

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:56:47.711881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 91e2536e-bdf8-40c3-8353-d60b52bec687 · outbound

This paper cites an unresolved cited work.

Singular leaning coefficients and efficiency in learning theory Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:56:47.697195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 71cb77d9-0526-448c-997a-2d8a2fffe963 · outbound

This paper cites Estimating the Local Learning Coefficient at Scale.

Singular leaning coefficients and efficiency in learning theory Estimating the Local Learning Coefficient at Scale

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-10T16:56:47.384584Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67e038b7-3c9d-45fa-b7fb-46892a2719e7 · outbound

This paper cites Hironaka.

Singular leaning coefficients and efficiency in learning theory Hironaka

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:56:47.681732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 231e95ad-1903-4642-bd26-1d4e93631f75 · outbound

This paper cites Kashiwara.

Singular leaning coefficients and efficiency in learning theory Kashiwara

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:56:47.666017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d420b2a3-3c90-4d74-a4b5-e9c725e5a6bd · outbound

This paper cites Koll´ ar.

Singular leaning coefficients and efficiency in learning theory Koll´ ar

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:56:47.650901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 423abf24-91ae-4f88-b159-9451194820cd · outbound

This paper cites an unresolved cited work.

Singular leaning coefficients and efficiency in learning theory Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:56:47.634067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2a867dda-a291-4375-be13-f563a9cd9930 · outbound

This paper cites Nagata and S.

Singular leaning coefficients and efficiency in learning theory Nagata and S

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:56:47.619254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7fd9411b-67d0-4435-87fd-8c9cf6c906eb · outbound

This paper cites Nagata and S.

Singular leaning coefficients and efficiency in learning theory Nagata and S

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:56:47.603564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4765acf8-4f63-4d0e-8020-9cf102a750c0 · outbound

This paper cites Deep Double Descent: Where Bigger Models and More Data Hurt.

Singular leaning coefficients and efficiency in learning theory Deep Double Descent: Where Bigger Models and More Data Hurt

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-10T16:56:47.415751Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7330a2c7-21c0-442c-a692-8aba24af2afc · outbound

This paper cites Rusakov and D.

Singular leaning coefficients and efficiency in learning theory Rusakov and D

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:56:47.587393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3b943e9d-81e9-4e6a-aafe-bee9ca63342f · outbound

This paper cites Rusakov and D.

Singular leaning coefficients and efficiency in learning theory Rusakov and D

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:56:47.572753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 826b54a0-cb2f-43d2-a245-62c099e3f434 · outbound

This paper cites Watanabe.

Singular leaning coefficients and efficiency in learning theory Watanabe

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:56:47.556156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 9ff0ae7e-3c39-45f4-95bc-c5c1b3cf41c0 · outbound

This paper cites Watanabe.

Singular leaning coefficients and efficiency in learning theory Watanabe

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:56:47.540513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 80e77471-aded-4a07-afb1-6cd534cba542 · outbound

This paper cites Zwiernik.

Singular leaning coefficients and efficiency in learning theory Zwiernik

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:56:47.522658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

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

Upper Bounds for Local Learning Coefficients of Three-Layer Neural Networks cites this paper.

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 822f7147-e485-45c3-a947-4e9790dc8e64 · inbound

PAC-Bayes Bounds for Gibbs Posteriors via Singular Learning Theory cites this paper.

PAC-Bayes Bounds for Gibbs Posteriors via Singular Learning Theory Singular leaning coefficients and efficiency in learning theory

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-05-10T06:26:27.255543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.