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Paper Citation Record · LEDGER

Singular leaning coefficients and efficiency in learning theory

As of 16 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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T16:56:47.343162Z digest=sha256:2460277002e1804a34fb18cb7dec00dbb19becd13bd3412c3763f4186ea96178

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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T16:56:47.366741Z digest=sha256:170bd9c91a89dff2d1f6d787b4026879c392b3db15a3bd954b4aed01722cf9c9

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T16:56:47.371044Z digest=sha256:e478d781e16ab82227f457b8d3b24d6de29e2b9d52acdd1a6e65b217c19c4f8c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T16:56:47.375345Z digest=sha256:325a26d7d03a5fb2d1d91ccd1d7e406b280bb61986639e163eec5a2842f68461

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T16:56:47.379711Z digest=sha256:72484de9ee04fe65414b82356e88e5013657abed92f4574e1094521aeac8e5b3

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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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
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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T16:56:47.410933Z digest=sha256:a8de3077903998e99dca2fc230802184a1806a5d83262148e7907f381918a432

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.

source=pdf_text observed=2026-08-10T16:56:47.415751Z digest=sha256:1019bd5e49150b9daab1559471f367f524da096dcd876bca5ff50be809cb593f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T16:56:47.420651Z digest=sha256:ed079a8284f5528c07c5aed4aaa38f8ea371d9ec1f1674ab0837fc50b5c03226

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T16:56:47.425574Z digest=sha256:082832c4c02699757c129fcb298aa447479c7a8fe3bbc1d1fe894f300c1e25c2

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T16:56:47.430396Z digest=sha256:8c8981e87806dffb8d0627d0b893e3ae97c163f4debfa08a018382fe3cc93b5c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T16:56:47.435732Z digest=sha256:4ffdca6ad6f07205eed262ab2476202150e365e1de2b356e9271ebf3b221a6ab

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-10T16:56:47.440584Z digest=sha256:6e649b1eb40d433c2bf36ec16b45e4257661fc99bd659fe3310bf077bd3c2db0

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 2026-08-16T06:30:59.297886+00:00.

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