Paper Citation Record · LEDGER

Position: Categorical Deep Learning is an Algebraic Theory of All Architectures

As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 12 inbound Pith citation observations for arXiv:2402.15332.

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

pith.paper-citation-record.v1
2402.15332 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 12 of 12 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T20:27:15.912616Z

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

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

2
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 3bd5f20b-76e8-4c7f-9442-db506106759e · inbound

Variational methods for Learning Multilevel Genetic Algorithms using the Kantorovich Monad cites this paper.

Variational methods for Learning Multilevel Genetic Algorithms using the Kantorovich Monad Position: Categorical Deep Learning is an Algebraic Theory of All Architectures

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-12T20:27:15.912616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6d37f2f-fe0e-4412-8d49-fa3ceec62a2f · inbound

Can neural operators always be continuously discretized? cites this paper.

Can neural operators always be continuously discretized? Position: Categorical Deep Learning is an Algebraic Theory of All Architectures

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-11T22:33:25.427496Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 340013d3-3251-4196-bb2f-0efb89804bf3 · inbound

Algebra Unveils Deep Learning -- An Invitation to Neuroalgebraic Geometry cites this paper.

Algebra Unveils Deep Learning -- An Invitation to Neuroalgebraic Geometry Position: Categorical Deep Learning is an Algebraic Theory of All Architectures

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-09T22:04:26.519620Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ca92064-bf33-43fd-aeac-4b714b7ff635 · inbound

Relational inductive biases on attention mechanisms cites this paper.

Relational inductive biases on attention mechanisms Position: Categorical Deep Learning is an Algebraic Theory of All Architectures

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T20:00:02.992586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b53dfcb0-1e56-48e7-ac5d-6058afe229fe · inbound

Topos Theory for Generative AI and LLMs cites this paper.

Topos Theory for Generative AI and LLMs Position: Categorical Deep Learning is an Algebraic Theory of All Architectures

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T04:20:09.651169Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99274788-605d-4c87-baf2-04550d97abec · inbound

The Program Hypergraph: Multi-Way Relational Structure for Geometric Algebra, Spatial Compute, and Physics-Aware Compilation cites this paper.

The Program Hypergraph: Multi-Way Relational Structure for Geometric Algebra, Spatial Compute, and Physics-Aware Compilation Position: Categorical Deep Learning is an Algebraic Theory of All Architectures

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-05-15T08:45:19.215953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5026ac83-5cd0-4eea-8312-14e37bfbe915 · inbound

The Program Hypergraph: Multi-Way Relational Structure for Geometric Algebra, Spatial Compute, and Physics-Aware Compilation cites this paper.

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-13T23:04:18.864523Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d5ccc97-fc61-4a95-84fb-082508f890f1 · inbound

Decidable By Construction: Design-Time Verification for Trustworthy AI cites this paper.

Decidable By Construction: Design-Time Verification for Trustworthy AI Position: Categorical Deep Learning is an Algebraic Theory of All Architectures

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-15T00:48:25.074197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation cf400ec4-d452-4f54-bb0d-2d190ff891a4 · inbound

Presenting Neural Networks via Coherent Functors cites this paper.

Presenting Neural Networks via Coherent Functors Position: Categorical Deep Learning is an Algebraic Theory of All Architectures

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-05-10T09:03:24.921528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6874d61a-db55-4871-a08e-96f379eb3601 · inbound

From Mechanistic to Compositional Interpretability cites this paper.

From Mechanistic to Compositional Interpretability Position: Categorical Deep Learning is an Algebraic Theory of All Architectures

Reference 36

Resolution: verified exact; arxiv_id, observed 2026-05-12T02:46:18.491894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5e042b6d-e75c-47f4-afc3-278f4125ba41 · inbound

Scheme-invariant stratified factorization algebras for inclusive deep inelastic scattering cites this paper.

Scheme-invariant stratified factorization algebras for inclusive deep inelastic scattering Position: Categorical Deep Learning is an Algebraic Theory of All Architectures

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-05-20T16:18:37.639346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 021a210f-9e35-4763-8688-db0e3dda9fd2 · inbound

Operadic consistency: a label-free signal for compositional reasoning failures in LLMs cites this paper.

Operadic consistency: a label-free signal for compositional reasoning failures in LLMs Position: Categorical Deep Learning is an Algebraic Theory of All Architectures

Reference 44

Resolution: metadata mismatch; arxiv_id, observed 2026-07-03T15:18:33.047197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.