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Paper Citation Record · LEDGER

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

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 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 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:00:02.992586Z

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 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.

source=pdf_text observed=2026-08-06T20:00:02.992586Z digest=sha256:a99783cdfe05b582c0e5b20ca54b5bfd5e801efb68796c50343657a2854ca4cd

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.

source=arxiv_source observed=2026-08-06T04:20:09.651169Z digest=sha256:f54797dcae6598d7fa151a1cad35ba73b296987100e1e31bc58108489e944cbe

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-15T08:42:20.931132Z digest=sha256:b6e50ce7feaabac79d6db39e494b4450dcfa616bbb0c47e67e8ac64d69e78234

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.

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T23:04:18.864523Z digest=sha256:dc96c50573c034bb2368e876f104f5b4ce913fa6ef8ca0ce4de71709ccd567cd

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-15T00:43:45.198512Z digest=sha256:2c2b31f4f741f98d1db496bb0c1a700520df4201be8a12e59a5a18d00be47fba

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-10T09:01:41.578635Z digest=sha256:13172ac7ee48dda330ee117aaf501fdea200b5960edd127d8b6c92f8f270f88e

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-12T02:42:26.173782Z digest=sha256:0c6ae47df95016e22060851ef82c6a1b54ff8becc6fe308552b4998e5cfefff5

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-20T16:14:29.720457Z digest=sha256:065d8107c6cab8e9f5941a0bfbbc38e61bce457cd8e09eba83aff3f2b790bc30

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-06-27T06:37:20.362458Z digest=sha256:46dd24235bc0baffeb1b702e5ab88b1b75cc892564e15f2c8956d2db69bfc7eb