Pith. sign in

Paper Citation Record · LEDGER

Statistical mechanics of extensive-width Bayesian neural networks near interpolation

As of 17 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2505.24849.

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

pith.paper-citation-record.v1
2505.24849 v2

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:20:28.261300Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T14:46:58.455179Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T14:46:58.823686Z

Reference resolution

31 of 31 outbound references displayed

  • verified exact1
  • verified fuzzy15
  • unresolved12
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 715bb315-01e6-4bad-8913-d6cfb60b9dd6 · outbound

This paper cites an unresolved cited work.

Statistical mechanics of extensive-width Bayesian neural networks near interpolation Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:20:33.533650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T12:20:26.250796Z digest=sha256:51256078ae66ac214bb6522bc76f7114bbcdf8508fea217b1cdb8d0eb73726d1

Observation 2f8caef1-7bd2-4169-92ff-9fa41dbf9739 · outbound

This paper cites universal.

Statistical mechanics of extensive-width Bayesian neural networks near interpolation universal

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:20:30.454040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T12:20:27.701306Z digest=sha256:95d8fcd7a11e0cff23ace7f600f4daace00e44840e7117d9bf1426555cb44fcf

Observation e5237752-78cc-4922-9cb6-d15bc4f2ef95 · outbound

This paper cites (57) Recall V is the support of Pv (assumed discrete for the moment).

Statistical mechanics of extensive-width Bayesian neural networks near interpolation (57) Recall V is the support of Pv (assumed discrete for the moment)

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:20:33.415808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T12:20:26.318124Z digest=sha256:fb1bfb0f6c156797ca982c75e4c9b6977ccba60290ed058c0dd8ee44c1749b11

Observation ed0d6e15-1a3a-4c68-ade7-530b787ae493 · outbound

This paper cites (58) The measure is coupled only through the latter δ’s.

Statistical mechanics of extensive-width Bayesian neural networks near interpolation (58) The measure is coupled only through the latter δ’s

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:20:33.242130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T12:20:26.401336Z digest=sha256:0f1e87c8b4021c0e6d1705361888dabbe46a58bd447d3babf3b6704dbec8ad36

Observation d4328f05-605b-4608-83ed-6c5c028384df · outbound

This paper cites (61) We have used the fact that⟨ · ⟩ˆB(v) is symmetric if the prior PW is, thus forcing us to match j with p if i ̸= l.

Statistical mechanics of extensive-width Bayesian neural networks near interpolation (61) We have used the fact that⟨ · ⟩ˆB(v) is symmetric if the prior PW is, thus forcing us to match j with p if i ̸= l

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:20:33.054070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T12:20:26.531267Z digest=sha256:d9f64677e481ba1c683bcda53952fc7b5e9e72d3cef45619c278305ea00e7fe5

Observation f582d590-fad0-43b0-a51b-ce06e07104fe · outbound

This paper cites (63) Notice that the effective law ˜P ((Sa.

Statistical mechanics of extensive-width Bayesian neural networks near interpolation (63) Notice that the effective law ˜P ((Sa

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:20:32.902731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T12:20:26.613043Z digest=sha256:ec1fe09ca06c63b2157ae7af1dae49fed142b13ea6ea157819ee18f4a24305ac

Observation 84e43b76-df39-4646-bd0d-733f344bd2ad · outbound

This paper cites an unresolved cited work.

Statistical mechanics of extensive-width Bayesian neural networks near interpolation Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:20:32.699003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T12:20:26.674994Z digest=sha256:37f9e819694209d0ac1955febb982266f11c7ffac2979c40f5f71768a0e5019f

Observation 6d888aa7-8898-4183-ae2e-7d3e83869649 · outbound

This paper cites (65) The factor V kd W (QW ) was already treated in the previous section.

Statistical mechanics of extensive-width Bayesian neural networks near interpolation (65) The factor V kd W (QW ) was already treated in the previous section

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:20:32.518950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T12:20:26.772974Z digest=sha256:d9d2c72b0f6e696943e8beba29043ed0df5cc69759eac9eba70e547309742206

Observation dc17631e-5a8e-4ec9-8430-52571664dfaa · outbound

This paper cites an unresolved cited work.

Statistical mechanics of extensive-width Bayesian neural networks near interpolation Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:20:32.374605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T12:20:26.833361Z digest=sha256:e43fffa231f94ef77efcabec92814e73b4b6a12a5557c77c58decc8dcd5e4e1f

Observation da9c7c1c-b06f-4a04-bcee-c117a3f19d1d · outbound

This paper cites an unresolved cited work.

Statistical mechanics of extensive-width Bayesian neural networks near interpolation Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:20:32.190625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T12:20:26.940514Z digest=sha256:4124bf14b65a8fb31bfce491bfa4cb31252094ed579badf598b1ac7e955b5a73

Observation a9fb07e5-4e1b-46ce-980b-c93f4963b2a8 · outbound

This paper cites As usual, the Nishimori identities impose Qaa 2 = r2 = 1 + γ¯v2 without the need of any Fourier conjugate.

Statistical mechanics of extensive-width Bayesian neural networks near interpolation As usual, the Nishimori identities impose Qaa 2 = r2 = 1 + γ¯v2 without the need of any Fourier conjugate

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:20:32.030055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T12:20:27.019078Z digest=sha256:e3bb3587a904fb4fbf77f07900c6f4cbd8c541a1f4e3e0f717e025ab9359e46f

Observation 658b3193-2e8a-4c56-bfa3-a28d87b3297d · outbound

This paper cites Y (or S0, ξ).

Statistical mechanics of extensive-width Bayesian neural networks near interpolation Y (or S0, ξ)

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:20:31.831104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T12:20:27.095448Z digest=sha256:abb2738efb2d3dd9e033f098f307861b0a5b626bfa6679d4b5c42c34fecc73e8

Observation 0945227f-1a9d-4986-8287-f2e06d1bff3e · outbound

This paper cites an unresolved cited work.

Statistical mechanics of extensive-width Bayesian neural networks near interpolation Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:20:31.675815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T12:20:27.192599Z digest=sha256:74970ba4c963d42f653a34805fe05c8c36520c0bbdde15fe0db05dbb9a8d3ad2

Observation d157ee5c-697f-4e87-a19e-c49a96558109 · outbound

This paper cites an unresolved cited work.

Statistical mechanics of extensive-width Bayesian neural networks near interpolation Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:20:31.482167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T12:20:27.278435Z digest=sha256:4d8af16553c51005824e5e6b4358d02d4ef8fd1a1203d2af51a26f0ae67d8357

Observation 80b8efa6-2a2d-4bd7-be7c-29513580753f · outbound

This paper cites an unresolved cited work.

Statistical mechanics of extensive-width Bayesian neural networks near interpolation Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:20:31.296295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T12:20:27.364743Z digest=sha256:551c0ba7c57fbee655fece4313e7a1cd46007c3d382be4f7a9d05397902ff825

Observation 5589a9fb-34ec-4a8a-b958-3da4ea5394f6 · outbound

This paper cites an unresolved cited work.

Statistical mechanics of extensive-width Bayesian neural networks near interpolation Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:20:31.055525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T12:20:27.442776Z digest=sha256:870559b487fdaa59239db8edea535701a2abe9e9819de5598e32cb723a0416e4

Observation 928755f0-a49b-492c-a68b-4446c83348bd · outbound

This paper cites In this case, inspired by (Sakata & Kabashima, 2013; Kabashima et al., 2016), in order to relax (14) we can propose the Gaussian ansatz d ¯P ((Sa.

Statistical mechanics of extensive-width Bayesian neural networks near interpolation In this case, inspired by (Sakata & Kabashima, 2013; Kabashima et al., 2016), in order to relax (14) we can propose the Gaussian ansatz d ¯P ((Sa

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:20:30.814422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T12:20:27.523591Z digest=sha256:497ab8da402a289fe749adeb713a9e9f6a8410571f71d14e9a4f2e3cf1616f55

Observation 86625bf9-d17a-44fb-aed4-942ac6506022 · outbound

This paper cites an unresolved cited work.

Statistical mechanics of extensive-width Bayesian neural networks near interpolation Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:20:30.643778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T12:20:27.626519Z digest=sha256:504f4a8ff43b600342ed524dc6ecd3253a1215188e27f4f9a2a39dc74c2c8699

Observation b40531a0-bb0a-4bf2-8f6f-54efa2f34343 · outbound

This paper cites sp” and “uni.

Statistical mechanics of extensive-width Bayesian neural networks near interpolation sp” and “uni

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:20:30.255920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T12:20:27.754782Z digest=sha256:f1dc573efc67f3ed943e31bbacf4ec4f76702045d544e586e275987a77a3c416

Observation 0b00a215-5ac5-4052-80c8-5c6892052778 · outbound

This paper cites components.

Statistical mechanics of extensive-width Bayesian neural networks near interpolation components

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:20:30.071664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T12:20:27.862682Z digest=sha256:e82750c35468558f79d13a13ef6271cbf9c32bfb1792266138b4a6d781aa74c6

Observation eccc844a-c2ad-426d-a675-5dd18473087d · outbound

This paper cites the true distribution P ((Sa.

Statistical mechanics of extensive-width Bayesian neural networks near interpolation the true distribution P ((Sa

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:20:29.882284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T12:20:27.952881Z digest=sha256:a9bb5e366ac45a71d9cfdcd15b638c3affb8a3799584c587ecab7387b4a5d23e

Observation 2e338f4b-ae2e-4dad-9633-d7d2f6f2ab6c · outbound

This paper cites an unresolved cited work.

Statistical mechanics of extensive-width Bayesian neural networks near interpolation Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:20:29.629993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T12:20:28.017360Z digest=sha256:d5cb04fa8090ffa824ccc8d5758674399379c2206ee94479e985f06ab383773c

Observation 8f1ca043-db09-4b97-a794-e18168d11142 · outbound

This paper cites standard Gaussian entries.

Statistical mechanics of extensive-width Bayesian neural networks near interpolation standard Gaussian entries

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:20:29.451607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T12:20:28.103758Z digest=sha256:27b627a99f6a572092bed8b83eb53bbfafc3926cbc7c7091f51a496802d8c909

Observation ed5bf336-863a-41cb-8b8e-a2d8ca911d3a · outbound

This paper cites This entails dropping entirely the dependencies among matrix entries, induced by their Wishart-like form (92), for each Sa 2(v).

Statistical mechanics of extensive-width Bayesian neural networks near interpolation This entails dropping entirely the dependencies among matrix entries, induced by their Wishart-like form (92), for each Sa 2(v)

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:20:29.227506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T12:20:28.199817Z digest=sha256:99c2db4933f3119f4db67a2b36e0885ea4cec28e171eed43c30a62879055f960

Observation 47e83647-ff99-4fe9-8049-6cf7ff1df2b1 · outbound

This paper cites universal.

Statistical mechanics of extensive-width Bayesian neural networks near interpolation universal

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:20:29.016773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T12:20:28.261300Z digest=sha256:e2873e59a3c9ad3c23ef1fe8ba74f010e11de380ff2c9a15086db810e50f7f5e

Observation b07f059b-dbfb-4d4d-ae45-6889b672db19 · outbound

This paper cites Feature learning in finite-width Bayesian deep linear networks with multiple outputs and convolutional layers.

Statistical mechanics of extensive-width Bayesian neural networks near interpolation Feature learning in finite-width Bayesian deep linear networks with multiple outputs and convolutional layers

Reference 916

Resolution
verified exact
local_arxiv, observed 2026-08-07T12:20:28.808602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T12:20:25.697229Z digest=sha256:ea0978d4159e5adc58d17694e383daba77fca84c424ae8515f2f8dbae5de2988

Observation abc1efc0-3c0a-4aea-a25f-b79ceff5807d · outbound

This paper cites URL https: //doi.org/10.1080/00018732.2016.1211393.

Statistical mechanics of extensive-width Bayesian neural networks near interpolation URL https: //doi.org/10.1080/00018732.2016.1211393

Reference 2016

Resolution
unresolved
no resolver link, observed 2026-08-07T12:20:26.136860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:20:26.136860Z digest=sha256:b5e38da0181eb8c84f0838c59f5512df2b3a5154e0178a62e8b2b09a1da34b5f

Observation 8b5c2b29-aea6-4ba6-97d9-576781c33e68 · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Statistical mechanics of extensive-width Bayesian neural networks near interpolation Adam: A Method for Stochastic Optimization

Reference 2017

Resolution
malformed identifier
no resolver link, observed 2026-08-07T12:20:26.046479Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:20:26.046479Z digest=sha256:e9452c0353ca106a41ba63ef4e40a1af1bc54bc7a4c492cd1498166b6499feae

Observation 920039ea-0d24-4467-b342-5f667cb2b7a7 · outbound

This paper cites doi: 10.1007/s00440-018-0879-0.

Statistical mechanics of extensive-width Bayesian neural networks near interpolation doi: 10.1007/s00440-018-0879-0

Reference 2019

Resolution
unresolved
no resolver link, observed 2026-08-07T12:20:25.571568Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:20:25.571568Z digest=sha256:010eccba4bd2472a65af1317713dbd9162dffe0406570016ac9932ad7df447e0

Observation b71b4c50-5c39-4422-b6dc-c656454ffa3c · outbound

This paper cites Guionnet, A.

Statistical mechanics of extensive-width Bayesian neural networks near interpolation Guionnet, A

Reference 2022

Resolution
malformed identifier
no resolver link, observed 2026-08-07T12:20:25.959749Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:20:25.959749Z digest=sha256:4c5ec7802bd07b71939568b689807443ffb8f548d8461d28f5f64dc960ed3981

Observation 630f28d6-0b51-4143-bb5e-8771cff0bf2e · outbound

This paper cites Fundamental limits of overparametrized shallow neural networks for supervised learning.

Statistical mechanics of extensive-width Bayesian neural networks near interpolation Fundamental limits of overparametrized shallow neural networks for supervised learning

Reference 2023

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T12:20:28.621713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T12:20:25.820815Z digest=sha256:c2b63c819c9f1bd99793d62a732c7e63d33fdb5548e1d664d3ca0fc0c0243c28

Pith citing papers

Observation 3d7ea875-7d57-41df-b093-b0440d5354f5 · inbound

Microscopic and collective signatures of feature learning in neural networks cites this paper.

Microscopic and collective signatures of feature learning in neural networks Statistical mechanics of extensive-width Bayesian neural networks near interpolation

Reference 53

Resolution
verified exact
local_arxiv, observed 2026-08-05T14:46:58.830142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T14:46:58.455179Z digest=sha256:e25560d6fec8549b811a54d28f96fc2e41272a66c8c8d87574d301f4ba3a3c71