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Paper Citation Record · LEDGER

Singular leaning coefficients and efficiency in learning theory

As of 19 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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T16:56:47.375345Z digest=sha256:8cbfa2e2308ff297f7ec20fd9b9ea49ee35d69690ebc8f39f01b41461cc4fcc8

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T16:56:47.379711Z digest=sha256:d97aba6c30914447e5321add91840b3f0ab749f55fd2c362c0a5c983d1d02408

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.

source=pdf_text observed=2026-08-10T16:56:47.384584Z digest=sha256:f431c65126be5efc3a5b4805e886a40d914e7e0d7a14c049d5946dafc285a74f

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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T16:56:47.410933Z digest=sha256:eb03af9c4ef3622ec7b55a525120a52e8d488f6ddda3d7c414332dd2f31957a1

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.

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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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T16:56:47.440584Z digest=sha256:b68ecf68a59b02f2f80953ac56e120a7275e46ff878ed2d506352263aa59e26e

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.

source=pdf_text observed=2026-07-14T22:07:36.742862Z digest=sha256:a3b77ebd6777efbba6d2770071e9a5cf1c188b7aeea22871488e5dd8c69aebb8

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 2026-08-18T06:34:40.430872+00:00.

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