Paper Citation Record · LEDGER

Transformers, parallel computation, and logarithmic depth

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 12 inbound Pith citation observations for arXiv:2402.09268.

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

pith.paper-citation-record.v1
2402.09268 v1

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 2026-08-09T06:31:02.800959+00:00

measured 12 of 12 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T00:18:21.344801Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T11:18:03.211693Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 7028bbcc-3cde-44af-b79c-dc5efc31fd6f · inbound

Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits cites this paper.

Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits Transformers, parallel computation, and logarithmic depth

Reference 2024

Resolution: malformed identifier; no resolver link, observed 2026-08-07T15:42:28.502494Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd623bde-0640-418a-83e6-52d2867d6da9 · inbound

Is Random Attention Sufficient for Sequence Modeling? Disentangling Trainable Components in the Transformer cites this paper.

Is Random Attention Sufficient for Sequence Modeling? Disentangling Trainable Components in the Transformer Transformers, parallel computation, and logarithmic depth

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-07T11:57:22.814818Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bee2c974-0540-4f90-96b0-6b4539e200dd · inbound

Transformers Meet In-Context Learning: A Universal Approximation Theory cites this paper.

Transformers Meet In-Context Learning: A Universal Approximation Theory Transformers, parallel computation, and logarithmic depth

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-07T10:33:41.255646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4795f215-a575-4255-99cb-a7da638fba73 · inbound

Scaling Latent Reasoning via Looped Language Models cites this paper.

Scaling Latent Reasoning via Looped Language Models Transformers, parallel computation, and logarithmic depth

Reference 79

Resolution: metadata mismatch; arxiv_id, observed 2026-05-15T07:43:11.752374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b287e471-de71-4da2-8c35-00b51f7fa60c · inbound

Scaling Latent Reasoning via Looped Language Models cites this paper.

Scaling Latent Reasoning via Looped Language Models Transformers, parallel computation, and logarithmic depth

Reference 79

Resolution: unresolved; no resolver link, observed 2026-08-04T07:31:49.256416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 008b7f8f-7945-4c3e-ad8a-2123a4bb20e1 · inbound

Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory cites this paper.

Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Transformers, parallel computation, and logarithmic depth

Reference 47

Resolution: verified exact; arxiv_id, observed 2026-05-14T23:38:16.437964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0ea6c3b7-73dc-4237-862e-3ae78d4a7e37 · inbound

How Much Cache Does Reasoning Need? Depth-Cache Tradeoffs in KV-Compressed Transformers cites this paper.

How Much Cache Does Reasoning Need? Depth-Cache Tradeoffs in KV-Compressed Transformers Transformers, parallel computation, and logarithmic depth

Reference 15

Resolution: metadata mismatch; arxiv_id, observed 2026-05-10T09:28:39.196418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6fe944a4-c69a-4f0d-91b1-702e31184b13 · inbound

There Will Be a Scientific Theory of Deep Learning cites this paper.

There Will Be a Scientific Theory of Deep Learning Transformers, parallel computation, and logarithmic depth

Reference 245

Resolution: verified exact; arxiv_id, observed 2026-05-11T15:21:08.869630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e1af48db-cec8-4cc4-81c1-a229ba5be22f · inbound

Transformer Approximations from ReLUs cites this paper.

Transformer Approximations from ReLUs Transformers, parallel computation, and logarithmic depth

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-05-11T21:51:30.235337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f1e7a1e4-cf99-4443-8a46-9ee9405a8274 · inbound

Lost in Tokenization: Fundamental Trade-offs in Graph Tokenization for Transformers cites this paper.

Lost in Tokenization: Fundamental Trade-offs in Graph Tokenization for Transformers Transformers, parallel computation, and logarithmic depth

Reference 34

Resolution: verified exact; arxiv_id, observed 2026-05-22T07:04:41.417376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8b2a5a20-3c25-48d6-a28c-d383d34b606c · inbound

Higher-Order Token Interactions via Quantum Attention cites this paper.

Higher-Order Token Interactions via Quantum Attention Transformers, parallel computation, and logarithmic depth

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-07-03T11:18:03.213135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 48531fbb-2db5-48df-81aa-e580a0e89e06 · inbound

Attention-based representations for multi-task computation cites this paper.

Attention-based representations for multi-task computation Transformers, parallel computation, and logarithmic depth

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-08T00:18:21.344801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.