Pith. sign in

Paper Citation Record · LEDGER

The Mathematics of Artificial Intelligence

As of 17 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 4 inbound Pith citation observations for arXiv:2501.10465.

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

pith.paper-citation-record.v1
2501.10465 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:21:15.310100Z

measured 32 of 32 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-25T02:20:39.109304Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

28 of 28 outbound references displayed

  • verified exact0
  • verified fuzzy24
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 8d6567a4-2d00-4de5-8bed-c439b2983910 · outbound

This paper cites Gradient flows: in metric spaces and in the space of probability measures.

The Mathematics of Artificial Intelligence Gradient flows: in metric spaces and in the space of probability measures

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-10T20:21:15.179737Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:21:15.179737Z digest=sha256:6153fb67ff40d3164d8bc0932f2354a913c7662f267e7d1e328aa50d2e39c6ee

Observation d49bf90e-ca4c-4da2-be97-c3229dc84e3a · outbound

This paper cites Learning theory from first principles.

The Mathematics of Artificial Intelligence Learning theory from first principles

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:21:15.764433Z

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=2026-08-10T20:21:15.185508Z digest=sha256:f3685d931b70876eae0724e981e7039ee4e625f4c62a76769825015137324ecd

Observation d29181cd-04d2-4b58-a07e-4d922a18d576 · outbound

This paper cites Understanding the training of infinitely deep and wide ResNets with Conditional Optimal Transport.

The Mathematics of Artificial Intelligence Understanding the training of infinitely deep and wide ResNets with Conditional Optimal Transport

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-10T20:21:15.190513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:21:15.190513Z digest=sha256:e93977a4cf128b33d4e8b1550409beb870abbb2f7a4101886811a67cd1a65a5f

Observation 7676cb13-6cb1-4f80-9514-e91c10f16033 · outbound

This paper cites Universal approximation bounds for sup erpositions of a sigmoidal function.

The Mathematics of Artificial Intelligence Universal approximation bounds for sup erpositions of a sigmoidal function

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:21:15.748584Z

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=2026-08-10T20:21:15.195743Z digest=sha256:885265b146ec481fe911883640f80592544d134b0f4ef7ebeef2a43e1b9915b5

Observation 6ba0910f-b6ed-40af-8241-c10ffa154698 · outbound

This paper cites Language models are few-shot learners.

The Mathematics of Artificial Intelligence Language models are few-shot learners

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:21:15.733703Z

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=2026-08-10T20:21:15.200736Z digest=sha256:ced81638d9ce9bb2e562c93051ac20405986bca246c5751500de39e3dd49edfe

Observation b5c6d2db-2174-420c-9693-03da14af07e7 · outbound

This paper cites Neural ordinary differential equations.

The Mathematics of Artificial Intelligence Neural ordinary differential equations

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:21:15.718812Z

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=2026-08-10T20:21:15.206126Z digest=sha256:3b589c9798de44f68cf426bfa549494311c4ac52dfbff1a8df755bfa75d99bfa

Observation 3efa6a22-f766-476f-b22d-6c0a73aae652 · outbound

This paper cites On the global convergenc e of gradient descent for over-parameterized models using optimal transport.

The Mathematics of Artificial Intelligence On the global convergenc e of gradient descent for over-parameterized models using optimal transport

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:21:15.703464Z

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=2026-08-10T20:21:15.211557Z digest=sha256:3b1abfda09432888f5343b965de003cd9133c58d0042786a5bf4052d0f74f48c

Observation 9ca4b9dc-3520-41e3-9c4e-619af23f7519 · outbound

This paper cites Approximation by superpositions of a si gmoidal function.

The Mathematics of Artificial Intelligence Approximation by superpositions of a si gmoidal function

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:21:15.687778Z

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=2026-08-10T20:21:15.216369Z digest=sha256:a65c47079c21ee2ee1ed7abc7f90eb0de58068956e5bc26f28db13a5d28089e2

Observation 1e3a788f-0dcf-459f-8baa-083fc75454f2 · outbound

This paper cites An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale.

The Mathematics of Artificial Intelligence An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-10T20:21:15.221523Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:21:15.221523Z digest=sha256:3f84def6f391c43d16369970a7232738b5c4e296974fce80140a23b3ee204676

Observation 20f12e7b-ddff-4965-b6c0-54114b8ff045 · outbound

This paper cites Vaswani et al.

The Mathematics of Artificial Intelligence Vaswani et al

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:21:15.671476Z

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=2026-08-10T20:21:15.226771Z digest=sha256:f3d16410feec2bdbd79d073dc86ce785f1ab1c7df06623ea18fad136bc3397f2

Observation 720b8d8f-2f5f-43a8-a36b-8b904119ff68 · outbound

This paper cites The emergence of clusters in self-attention dynamics.

The Mathematics of Artificial Intelligence The emergence of clusters in self-attention dynamics

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:21:15.656441Z

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=2026-08-10T20:21:15.231265Z digest=sha256:ef004630146eaacfbfc2b9e38990829cfbfbf15eba5fc639bb1b7ad27c99a366

Observation 1f77d621-dcae-4791-bd7e-c6cbd7e38c77 · outbound

This paper cites Generat ive adversarial networks.

The Mathematics of Artificial Intelligence Generat ive adversarial networks

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:21:15.641258Z

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=2026-08-10T20:21:15.235798Z digest=sha256:b38f5a7a9af8316a5702b2207764d03648bb150ca680143e725fcb9a116ffb8b

Observation 05cecbc6-13e6-44be-abe6-9af425e8781a · outbound

This paper cites Evaluating derivatives: principles and tech- niques of algorithmic differentiation.

The Mathematics of Artificial Intelligence Evaluating derivatives: principles and tech- niques of algorithmic differentiation

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:21:15.626029Z

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=2026-08-10T20:21:15.240429Z digest=sha256:16da242a857f823bd93d075cd8d56b564af5e285bbee2d17d0b994869625241a

Observation f4cd5f09-f553-494b-8662-f34a7f2804d0 · outbound

This paper cites D eep residual learning for image recognition.

The Mathematics of Artificial Intelligence D eep residual learning for image recognition

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:21:15.608706Z

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=2026-08-10T20:21:15.244876Z digest=sha256:6e5ef8a1ab0a4c57b20af8526926b99da60666409d1f4d793f46c4e8228fd32c

Observation e90c6421-97b7-4520-a732-20955333d3bd · outbound

This paper cites M ultilayer feedforward networks are universal approximators.

The Mathematics of Artificial Intelligence M ultilayer feedforward networks are universal approximators

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:21:15.592807Z

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=2026-08-10T20:21:15.249491Z digest=sha256:be7f232b0cccb6ce956f870eac19cc75cbf01da1e5a80a93d0a020580c94e3b2

Observation b6db9a81-2a04-4a51-9b2d-33d1be7e4355 · outbound

This paper cites Th e variational formulation of the fokker–planck equation.

The Mathematics of Artificial Intelligence Th e variational formulation of the fokker–planck equation

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:21:15.576879Z

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=2026-08-10T20:21:15.254098Z digest=sha256:536857d964bd92ae943a199506d6dfcedd7e4fed43e5e0715750ea63aaa84668

Observation 7bdcfe41-7e24-492d-b58e-1bd7c600d5ae · outbound

This paper cites Imagenet classification with deep convolutional neural networks.

The Mathematics of Artificial Intelligence Imagenet classification with deep convolutional neural networks

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:21:15.561011Z

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=2026-08-10T20:21:15.258534Z digest=sha256:0610d346c2f2aa1c4508b51801bd3a40e1608903989f1e435b1b8129794a4ede

Observation 0665fe68-0438-4e3e-865b-fda4c37c6f4b · outbound

This paper cites Gradient-based learning applied to document recognition.

The Mathematics of Artificial Intelligence Gradient-based learning applied to document recognition

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:21:15.546332Z

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=2026-08-10T20:21:15.262961Z digest=sha256:fd918eba059e90103676a8a70f01b9655837981dd1244bc05e7bf254d495db7d

Observation 8653928c-7649-4f85-a3c3-7eb2692d2684 · outbound

This paper cites Flow matching for generative modeling.

The Mathematics of Artificial Intelligence Flow matching for generative modeling

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:21:15.530193Z

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=2026-08-10T20:21:15.267362Z digest=sha256:05676d62d5e3574451741b65d848ea2b956546c7e63bfb33dd44286f30ad4f12

Observation 3e1a7142-38a6-475c-8254-db5432b707af · outbound

This paper cites Implicit regular- ization of deep residual networks towards neural odes.

The Mathematics of Artificial Intelligence Implicit regular- ization of deep residual networks towards neural odes

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:21:15.513084Z

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=2026-08-10T20:21:15.272054Z digest=sha256:f0c8358b658d6cb8f3317f6ca0b9ae04e506b8fe42b658e4fd389bd779c42a77

Observation 0a1d2ff5-84d0-4ccd-9844-da6f25ee6294 · outbound

This paper cites Normalizing flows for probabi listic modeling and inference.

The Mathematics of Artificial Intelligence Normalizing flows for probabi listic modeling and inference

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:21:15.496412Z

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=2026-08-10T20:21:15.277070Z digest=sha256:d78115c0bcc93228b397bf4f5dc423ff19d44b2b9dffb3399bd8a5d29a8e97ff

Observation c8361f63-273c-455d-b874-ff0e0613e45c · outbound

This paper cites Computational opti mal transport.

The Mathematics of Artificial Intelligence Computational opti mal transport

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:21:15.481114Z

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=2026-08-10T20:21:15.281916Z digest=sha256:f6752c4be2415f1c2cdf3d633322b1099569749089c6067fc8d0790db48abfd7

Observation 59958444-e869-4ddd-a0dc-6a4945c0931c · outbound

This paper cites A stochastic approxi mation method.

The Mathematics of Artificial Intelligence A stochastic approxi mation method

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:21:15.464997Z

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=2026-08-10T20:21:15.286596Z digest=sha256:6a04a9b0f8e0f46817dc8a73b8599aa529d5116b50bcfd8e7a7a54938dc37f3b

Observation 562098cf-267a-4723-8977-20a1ff63c152 · outbound

This paper cites U- net: Convolutional net- works for biomedical image segmentation.

The Mathematics of Artificial Intelligence U- net: Convolutional net- works for biomedical image segmentation

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:21:15.447633Z

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=2026-08-10T20:21:15.291092Z digest=sha256:2d9510a1de5b77f115851664e4a05e0fe8cdb1e5860a7ccb741773020c24de97

Observation 6f9e885a-c63a-4168-b9c1-35eee4231e77 · outbound

This paper cites The perceptron: a probabilistic mod el for information storage and organization in the brain.

The Mathematics of Artificial Intelligence The perceptron: a probabilistic mod el for information storage and organization in the brain

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:21:15.431325Z

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=2026-08-10T20:21:15.296041Z digest=sha256:7f80da9d258a427e70ebd37732756c6d132993cc0192c9cdcf9d03a0de9a6bb2

Observation ead74f51-fb34-4ace-a1d9-a2e46b9e290b · outbound

This paper cites Sinkform- ers: Transformers with doubly stochastic attention.

The Mathematics of Artificial Intelligence Sinkform- ers: Transformers with doubly stochastic attention

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:21:15.414612Z

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=2026-08-10T20:21:15.300784Z digest=sha256:86746e1ae90bb35287014ec80f43cf4c67da364ff62d09327dd0ab4b50d78745

Observation b3f627d8-4fe4-41f2-b13c-84b745ba8ad2 · outbound

This paper cites Deep unsupervised learning using nonequilibrium thermodynami cs.

The Mathematics of Artificial Intelligence Deep unsupervised learning using nonequilibrium thermodynami cs

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:21:15.398888Z

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=2026-08-10T20:21:15.305590Z digest=sha256:43615c9d133aa3bdc218bff541bd47ae059b7ed0e14d2894c02ca6f60bf019aa

Observation 21142205-9378-4076-a6cf-26cfa9c2c679 · outbound

This paper cites an unresolved cited work.

The Mathematics of Artificial Intelligence Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-10T20:21:15.381440Z

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=2026-08-10T20:21:15.310100Z digest=sha256:6c92692ee00f564ef0d1c7ccc2daea3ea04b7b9bfe0f5ad99b937dfce067d8e3

Pith citing papers

Observation f8bc77c1-ad73-47e4-a613-0dd19ed40706 · inbound

Explicit integral representations and quantitative bounds for two-layer ReLU networks cites this paper.

Explicit integral representations and quantitative bounds for two-layer ReLU networks The Mathematics of Artificial Intelligence

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-05-11T21:06:10.384355Z

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=2026-05-08T07:11:02.078500Z digest=sha256:dfb8470af8b5bb3d05611d5ba68b00d3775115f18ddac5e26a6e2252f2ac86a5

Observation ae10e5f0-bcaa-46a5-af7a-792cd3b50b65 · inbound

Explicit integral representations and quantitative bounds for two-layer ReLU networks cites this paper.

Explicit integral representations and quantitative bounds for two-layer ReLU networks The Mathematics of Artificial Intelligence

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-05-13T07:42:30.567947Z

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=2026-05-13T07:40:50.183338Z digest=sha256:7be272e9da8a2f7bb40068ec930dbc94e8d7e5fc42c99ba3cecbe6bbfdeb5aae

Observation f66e57be-b7be-4d66-b08a-e731dce6bf93 · inbound

Unlearning with Asymmetric Sources: Improved Unlearning-Utility Trade-off with Public Data cites this paper.

Unlearning with Asymmetric Sources: Improved Unlearning-Utility Trade-off with Public Data The Mathematics of Artificial Intelligence

Reference 88

Resolution
verified exact
arxiv_id, observed 2026-05-13T05:57:21.528204Z

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=arxiv_source observed=2026-05-13T05:56:38.042978Z digest=sha256:8fa19a3c35b393780170c111f7e56f5b3050f37e28002e6f244e85b7dd22680a

Observation 5e67144b-34fc-45fc-b2ff-58eec77cf98d · inbound

The physics of AI weather models cites this paper.

The physics of AI weather models The Mathematics of Artificial Intelligence

Reference 35

Resolution
verified exact
arxiv_id, observed 2026-05-25T02:25:14.395775Z

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=arxiv_source observed=2026-05-25T02:20:39.109304Z digest=sha256:0cb27627806de330a51c4277f51c14ac0a8c1c0477e8319f2c674b32cc9da154