Paper Citation Record · LEDGER

Topos Theory for Generative AI and LLMs

As of 15 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:2508.08293.

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

pith.paper-citation-record.v1
2508.08293 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T04:20:11.602029Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-30T16:30:38.014731Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T16:35:12.601639Z

Reference resolution

30 of 30 outbound references displayed

verified exact0
verified fuzzy7
unresolved22
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bdafa905-72a3-4e00-8de7-0d7714a124bc · outbound

This paper cites an unresolved cited work.

Topos Theory for Generative AI and LLMs Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T04:20:14.187037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 031cbfae-a3fa-42d7-a36e-92f9bfdd3d5a · outbound

This paper cites an unresolved cited work.

Topos Theory for Generative AI and LLMs Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T04:20:13.822710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c37b9485-fb78-4bcb-9b02-7b5e7c4a4f55 · outbound

This paper cites Hudson, Ehsan Adeli, Russ Altman, Simran Arora, Sydney von Arx, Michael S.

Topos Theory for Generative AI and LLMs Hudson, Ehsan Adeli, Russ Altman, Simran Arora, Sydney von Arx, Michael S

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T04:20:08.999947Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd45775a-eb6c-4c09-af39-16a64df32eab · outbound

This paper cites Bradley, J.

Topos Theory for Generative AI and LLMs Bradley, J

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T04:20:09.086588Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6bdac8b5-c13b-4ae7-a1c2-aaf766c68dba · outbound

This paper cites An Attentive Survey of Attention Models.

Topos Theory for Generative AI and LLMs An Attentive Survey of Attention Models

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T04:20:09.174487Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f520c9ca-2e2c-4ed2-baf3-edd04e92bea0 · outbound

This paper cites Tighter bounds on the expressivity of transformer encoders.

Topos Theory for Generative AI and LLMs Tighter bounds on the expressivity of transformer encoders

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:20:13.456799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bee02a4f-ea8d-4b29-8264-faf54704d9a7 · outbound

This paper cites DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning.

Topos Theory for Generative AI and LLMs DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T04:20:09.320228Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8eb86386-93a6-41fb-a775-22a4013503f6 · outbound

This paper cites Hwang, Soumya Sanyal, Sean Welleck, Xiang Ren, Allyson Ettinger, Zaid Harchaoui, and Yejin Choi.

Topos Theory for Generative AI and LLMs Hwang, Soumya Sanyal, Sean Welleck, Xiang Ren, Allyson Ettinger, Zaid Harchaoui, and Yejin Choi

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:20:13.244772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f602735e-2ee0-4325-893d-46679ec697a3 · outbound

This paper cites Spivak, and R \' e my Tuy \' e ras.

Topos Theory for Generative AI and LLMs Spivak, and R \' e my Tuy \' e ras

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T04:20:09.499468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5cd25931-a000-44f6-a22d-a0eba543e9c3 · outbound

This paper cites A synthetic approach to markov kernels, conditional independence and theorems on sufficient statistics.

Topos Theory for Generative AI and LLMs A synthetic approach to markov kernels, conditional independence and theorems on sufficient statistics

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T04:20:09.561086Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

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 dd22a84c-8d4d-4271-9340-ebf6c019a8b8 · outbound

This paper cites Topoi: The Categorial Analysis of Logic.

Topos Theory for Generative AI and LLMs Topoi: The Categorial Analysis of Logic

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:20:13.096467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bc765abc-051e-4cfa-a057-450659a05908 · outbound

This paper cites Efficiently modeling long sequences with structured state spaces.

Topos Theory for Generative AI and LLMs Efficiently modeling long sequences with structured state spaces

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-06T04:20:09.859752Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7da90651-4dd9-4f11-b388-eb621dc50978 · outbound

This paper cites Theoretical limitations of self-attention in neural sequence models.

Topos Theory for Generative AI and LLMs Theoretical limitations of self-attention in neural sequence models

Reference 14

Resolution: malformed identifier; no resolver link, observed 2026-08-06T04:20:09.958575Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b906c72d-18ff-4b29-a964-cb733852059b · outbound

This paper cites Topos Theory.

Topos Theory for Generative AI and LLMs Topos Theory

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:20:12.915772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8a320e17-31f4-41b1-a297-ace3477be59c · outbound

This paper cites Kushner and G.G.

Topos Theory for Generative AI and LLMs Kushner and G.G

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:20:12.746887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 67d6daf2-4c98-400e-9531-3cd800ba8233 · outbound

This paper cites Categories for the Working Mathematician.

Topos Theory for Generative AI and LLMs Categories for the Working Mathematician

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T04:20:10.205038Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30f85cb2-d97a-4286-b11b-ce9e81027aa6 · outbound

This paper cites Sheaves in Geometry and Logic: A First Introduction to Topos Theory.

Topos Theory for Generative AI and LLMs Sheaves in Geometry and Logic: A First Introduction to Topos Theory

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:20:12.556070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b0e45c76-e3b0-494e-b080-b878d5317660 · outbound

This paper cites GAIA: Categorical Foundations of Generative AI.

Topos Theory for Generative AI and LLMs GAIA: Categorical Foundations of Generative AI

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T04:20:10.374452Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2565bfec-2f36-4ba2-832d-bbc92c60331b · outbound

This paper cites an unresolved cited work.

Topos Theory for Generative AI and LLMs Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-06T04:20:10.504893Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ef39137-910a-4c00-8842-0b66a9624a8d · outbound

This paper cites Saturated Transformers are Constant-Depth Threshold Circuits.

Topos Theory for Generative AI and LLMs Saturated Transformers are Constant-Depth Threshold Circuits

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T04:20:10.605824Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 138cfd1e-a79f-40b4-b86b-f9fdb3d1684d · outbound

This paper cites Levels of AGI.

Topos Theory for Generative AI and LLMs Levels of AGI

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T04:20:10.718246Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1c689f86-e844-43cb-a73f-503faae185c1 · outbound

This paper cites Attention is turing-complete.

Topos Theory for Generative AI and LLMs Attention is turing-complete

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:20:12.374555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 165e2b33-147d-4683-bcc0-b6795715daf1 · outbound

This paper cites an unresolved cited work.

Topos Theory for Generative AI and LLMs Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T04:20:10.864999Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64efb31e-0122-40c2-ac51-9dc906ecddb6 · outbound

This paper cites an unresolved cited work.

Topos Theory for Generative AI and LLMs Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T04:20:10.984115Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf0550c8-ff87-4bfb-9bb3-1b87da83af4d · outbound

This paper cites an unresolved cited work.

Topos Theory for Generative AI and LLMs Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T04:20:12.215347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation cb288cb0-f286-4f4a-9ea4-ab3d0e713948 · outbound

This paper cites Self-Attention with Relative Position Representations.

Topos Theory for Generative AI and LLMs Self-Attention with Relative Position Representations

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-06T04:20:11.227396Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 55505159-15a1-4afc-8c91-123f0e4b5659 · outbound

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

Topos Theory for Generative AI and LLMs Gomez, Lukasz Kaiser, and Illia Polosukhin

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-06T04:20:11.358056Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c4da16d4-199a-412a-9e04-172318769462 · outbound

This paper cites Mixture-of-Agents Enhances Large Language Model Capabilities.

Topos Theory for Generative AI and LLMs Mixture-of-Agents Enhances Large Language Model Capabilities

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-06T04:20:11.494019Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64d9148c-8ec6-41c1-80d2-7a31a6bef29a · outbound

This paper cites Reddi, and Sanjiv Kumar.

Topos Theory for Generative AI and LLMs Reddi, and Sanjiv Kumar

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-06T04:20:11.602029Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation a752763f-5b54-40b5-a00a-6939bd91d982 · inbound

The Cognitive Categorical Transformer: Category-Theoretic Inductive Biases for Language Modeling cites this paper.

The Cognitive Categorical Transformer: Category-Theoretic Inductive Biases for Language Modeling Topos Theory for Generative AI and LLMs

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-06-30T16:35:12.603229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.