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=sha256:9fe2a6f90918d676234c8914a6d3d0b78f0916cceb708f185bc526e6ebe7af80

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:c4347b640bcda225f5bb8386a07e0861e75864d4f21119fd0740f5a457543681

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:ea55dd7f078771e2b7ec42ebdcee27e94f9d9bd85c83cccb347be56f611a2736

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=sha256:0982a2c8e5e11c5bec44aba28308cea975920db10566ee5368c5004147aaa8ec

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:f4ed3f80af2d2c6694098454db27a96fcc38bae786272403c14c6cd04a1b28a7

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=sha256:8fa6e2409c2b88648c1c56bf690a0656744e18a3e0c2bf9c52ba67faa10ac930

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:c90f885bb72ecc37cf026f26995134fda7c330a65f95c1b1f562c410b445abcc

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=sha256:797928f7cc0ddde14a1702026629344dbb71f82f1d04696532e973bcff9e0e97

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=sha256:249621855e6497b44c5c67a8f4d2cef8bd2590b05b0e90fb3073c21ef535ae98

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:e87404ec58edae6f841eada37be85467992baee2b6991f3428742eb44fd7d7b4

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=sha256:86f0f26c93f77cadb36d90709411ff57c0408b52574fe8aed35d51d1cf3514d5

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:f668cd7840d4486c5ad3a44a61521acc93d58668fc4290ab9daab52d1a932aed

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=sha256:8e58b37b2c475a42b9732ded53744accdea548dbf2f1775a824c6205ee166cf1

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=sha256:54421c0f116c5af33a46d1f05dd22502c6705670d8d7e8896607309e718aeaea

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=sha256:5356165cb8c954ce42a5f3c3ca8d36ffc675e368dd308f081ba3df0d93834e31

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:f538bd01477c61b359726cd23c6c5f2859e29188f3259e06130eeec96189ad21

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=sha256:4ebc72a7418e01216ce95fe18a19743eacab3ca43b3adea6a9b2f00777076937

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=sha256:6179e894fca6bf9c3dbb5cb8611d7c3002fdbacdb7ab1a151ceea7372a2d392a

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=sha256:05d330ee3ca123b952b213858f01451e41aef3e222f65738e0e83cc940f579f3

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:c274e5febfb6ba5095d5f4cfae7522e4ffe33b32b438298bd3b094debf015669

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=sha256:9e144301e683d5ad864fbca05ec2d63e4176f125bd349ddabddf5e6170735370

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:ff776992d4744ce79ea2d50ab1593c12fb34e8cafc6ce974d325758ac37776a5

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:a7011bdf8cb58b0eba0537e73c63264e91b72d0fd033d9199bbf9f1a6bc7f071

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:a80159f4d642d72b989167eb6f8891bb000fbbbff098bdb17179f49d62ff6694

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=sha256:2785cf4b0f18ec29281cb80a3583cc35aefd3260bc63f29a45fec24270348fb7

Pith citing papers

No inbound Pith citation observations are available.