Pith. sign in

Paper Citation Record · LEDGER

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks

As of 17 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2505.09326.

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

pith.paper-citation-record.v1
2505.09326 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:40:36.246202Z

measured 25 of 25 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

25 of 25 outbound references displayed

  • verified exact1
  • verified fuzzy10
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c856c234-02f7-4457-abe6-ba3d5d45cdd1 · outbound

This paper cites an unresolved cited work.

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:40:36.551520Z

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=2026-08-15T21:40:36.151500Z digest=sha256:705bc051ee1faea60b57a69227c091d25bac56c8a05b285d6f75cb5828189985

Observation 13cc69b9-f7bd-48ff-8a22-df804b450b14 · outbound

This paper cites Robust Diagrams for Deep Learning Architectures: Applications and Theory.

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks Robust Diagrams for Deep Learning Architectures: Applications and Theory

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:40:36.540966Z

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=2026-08-15T21:40:36.156048Z digest=sha256:c782d2a11870b188d983fb32009ff714b23191736cbacdf5065f8522f2914285

Observation 0c1d406d-d4ec-4a46-85d4-c81b36d6a99e · outbound

This paper cites Category Theory for Ar- tificial General Intelligence.

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks Category Theory for Ar- tificial General Intelligence

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:40:36.529433Z

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=2026-08-15T21:40:36.159625Z digest=sha256:1f560fc840b7d05cc96f4eba09b63fc2c53ddbce6a982be315830e2714e7fa62

Observation eae7708b-523e-4123-93af-4612788ad4dc · outbound

This paper cites FlashAttention on a Napkin: A Diagrammatic Approach to Deep Learning IO-Awareness.

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks FlashAttention on a Napkin: A Diagrammatic Approach to Deep Learning IO-Awareness

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:40:36.518135Z

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=2026-08-15T21:40:36.163584Z digest=sha256:349ecdbad7300affc25e70e5f3cb7fbe813dc0a22ee58343b4b08eacb35bcbb4

Observation b2519b06-e51f-4466-9725-aea0bd4845af · outbound

This paper cites Introduction to Categories and Categorical Logic.

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks Introduction to Categories and Categorical Logic

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-15T21:40:36.167660Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:40:36.167660Z digest=sha256:0dd0f35e5f2c1f58145b54a8d2c9faaf3e27e58e0444185cc690bec2a195f04e

Observation 07a7166d-c135-4695-9fe3-f2b1b7882d8a · outbound

This paper cites Ocal, Evan Patterson, and Brandon T.

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks Ocal, Evan Patterson, and Brandon T

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:40:36.506845Z

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=2026-08-15T21:40:36.172336Z digest=sha256:87ff73fd074b86caed7b9b5cf03b272d770e620d0c37e6fc52e6bee3c64b1be5

Observation 01888983-9fbf-4491-ac76-8aa034255733 · outbound

This paper cites GQA: Training Generalized Multi-Query Transformer Models from Multi-Head Checkpoints.

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks GQA: Training Generalized Multi-Query Transformer Models from Multi-Head Checkpoints

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-15T21:40:36.176547Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:40:36.176547Z digest=sha256:b6bb7848f825e42cb2b9168e1e075f28eff7495432ddb3336e7d9bc05cf20821

Observation d2b95dcc-13b7-43c5-bc2f-9b99629daf7f · outbound

This paper cites Physics, Topology, Logic and Computation: A Rosetta Stone.

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks Physics, Topology, Logic and Computation: A Rosetta Stone

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-15T21:40:36.180602Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:40:36.180602Z digest=sha256:e1da2e6a62d71aadbcca7a7fb5912f8242d94a58caf604721a634b21daf7b523

Observation 201b0fcf-61a4-43c5-aa68-2f270bb6e043 · outbound

This paper cites Categorical Foundations of Gradient-Based Learning.

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks Categorical Foundations of Gradient-Based Learning

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-15T21:40:36.184633Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:40:36.184633Z digest=sha256:6f96e88eb0d41826adc324743da14fb242ede3a7896d87f0bc58e600dfa768a0

Observation 64f4af17-c968-4f3f-9682-d41f7f7e429c · outbound

This paper cites FlashAttention-2: Faster Attention with Better Parallelism and Work Partitioning.

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks FlashAttention-2: Faster Attention with Better Parallelism and Work Partitioning

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-15T21:40:36.188621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:40:36.188621Z digest=sha256:830d3acd472dd2189306ab8a65a674cdf69d8cd85bd5f6fac1531ba59f739ea3

Observation 059c1688-d61c-41c2-b59c-aa552b0b7d27 · outbound

This paper cites FlashAttention: Fast and Memory-Efficient Exact Attention with IO-Awareness.

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks FlashAttention: Fast and Memory-Efficient Exact Attention with IO-Awareness

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-15T21:40:36.192641Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:40:36.192641Z digest=sha256:4d667ea263674ea363dff5fdf4c67e2c9e2bba2bcf0271da78d0256b2a2e676d

Observation 43430c93-8802-40da-9df9-3101998adea8 · outbound

This paper cites DeepSeek-V3 Technical Report.

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks DeepSeek-V3 Technical Report

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-15T21:40:36.196795Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:40:36.196795Z digest=sha256:ec9c95fe1cee1f0b66c4ffa7f0a5e23477318bbe810136e1f5badf2428a8c719

Observation bc89ee3c-235a-487a-be7d-0f4656631e4e · outbound

This paper cites Spivak, and Rémy Tuyéras.

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks Spivak, and Rémy Tuyéras

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:40:36.495631Z

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=2026-08-15T21:40:36.200707Z digest=sha256:48661732b9b8ea2afc349a9c5a3baed6b1e2253d782fccfb87798d353635f03b

Observation 166ea96a-680f-4830-80b6-423ba131e348 · outbound

This paper cites Position: Categorical Deep Learning is an Algebraic Theory of All Architectures.

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks Position: Categorical Deep Learning is an Algebraic Theory of All Architectures

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-15T21:40:36.204545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:40:36.204545Z digest=sha256:d4721ad9e99e1b5a6a825a952df5b56d1ff547d5cdc83d74a4d5190cd0f3891f

Observation 21fa9587-9517-4f55-bf67-a3e540463338 · outbound

This paper cites an unresolved cited work.

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:40:36.484267Z

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=2026-08-15T21:40:36.208449Z digest=sha256:59d3c99842646f6a7c674466bd320681e08b8d066649035063527c2f7a0082bc

Observation ec663410-2a74-4935-9023-46548810548a · outbound

This paper cites Deep Residual Learning for Image Recognition.

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks Deep Residual Learning for Image Recognition

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-15T21:40:36.211955Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:40:36.211955Z digest=sha256:2fcf7e53a7c7204f28da30a19807393f9a195faddbbd423b600b9f00d793c67c

Observation f7d2b7c6-e31f-45b2-8225-bf45c75a6ad1 · outbound

This paper cites Identity Mappings in Deep Residual Networks.

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks Identity Mappings in Deep Residual Networks

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:40:36.472152Z

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=2026-08-15T21:40:36.215724Z digest=sha256:a603b70a486d230b785068ec2995a2f1111b1cf897c9323038cd569d77a17f82

Observation d5e7afdb-b955-4812-bcad-0c989ac21505 · outbound

This paper cites Mixtral of Experts.

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks Mixtral of Experts

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-15T21:40:36.219463Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:40:36.219463Z digest=sha256:bcfd1e1157415f457b17b69651400d5050e35ea3dc285e39b7986dfd6388dd11

Observation 8ee88b12-0299-4abf-a23b-73f44050dc7a · outbound

This paper cites PyTorch: An Imperative Style, High-Performance Deep Learning Library.

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks PyTorch: An Imperative Style, High-Performance Deep Learning Library

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-15T21:40:36.223162Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:40:36.223162Z digest=sha256:6144e86b05354ce7bb764eb37c135ca163cf8f42c9d8f869eca7c7fbae3eda97

Observation b29b90cd-e736-4511-8685-27028c24d99e · outbound

This paper cites A survey of graphical languages for monoidal categories, August 2009.

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks A survey of graphical languages for monoidal categories, August 2009

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:40:36.461036Z

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=2026-08-15T21:40:36.227176Z digest=sha256:cfc2421ecde1ed5c66c0d25fef181c6bff376efac30eca9511fa8ddc8366a52a

Observation 8e548768-a923-4364-a2d1-f1281a668abe · outbound

This paper cites FlashAttention-3: Fast and Accurate Attention with Asynchrony and Low-precision.

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks FlashAttention-3: Fast and Accurate Attention with Asynchrony and Low-precision

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-15T21:40:36.230738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:40:36.230738Z digest=sha256:40dfaf28f6d3089f54715037a69358237674f9ff07ba088870e4bdb0b157a46a

Observation a76f0358-b665-4f24-84f0-f0c0fc3cfb95 · outbound

This paper cites Gomez, Lukasz Kaiser, and Illia Polosukhin.

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks Gomez, Lukasz Kaiser, and Illia Polosukhin

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:40:36.449962Z

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=2026-08-15T21:40:36.235306Z digest=sha256:3bb8ea11dd265fbb35666a182789451cd7e38abf3badb78fa7ec5a7aa50e1a4e

Observation aaaaa918-9f4b-4290-9b17-7991f53bc92d · outbound

This paper cites Categories of Differentiable Polynomial Circuits for Machine Learning.

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks Categories of Differentiable Polynomial Circuits for Machine Learning

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-15T21:40:36.285543Z

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=2026-08-15T21:40:36.238810Z digest=sha256:b4fc58b6a82dc7f7a1d3911ee53452fff2fca08ddb8341ffdae6b0a726067cf0

Observation b9732ab7-92e9-4235-80b5-6cc0c69ecdb2 · outbound

This paper cites Neural String Diagrams: A Universal Modelling Language for Categorical Deep Learning.

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks Neural String Diagrams: A Universal Modelling Language for Categorical Deep Learning

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:40:36.438208Z

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=2026-08-15T21:40:36.242440Z digest=sha256:06882921bad584fb10b142e3e21953715da9fad59fa56183d8c2ef1fbe07d2d9

Observation 74f333fd-5f3d-4ac1-b7c7-878663cc1233 · outbound

This paper cites correctness.

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks correctness

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:40:36.427170Z

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=2026-08-15T21:40:36.246202Z digest=sha256:1d11263d4639b0c3ebff8706324568fe863905b2b39dca350188a64f8356faad

Pith citing papers

No inbound Pith citation observations are available.