Paper Citation Record · LEDGER

The Parallelism Tradeoff: Limitations of Log-Precision Transformers

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2207.00729.

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

pith.paper-citation-record.v1
2207.00729 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 6 of 6 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 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T00:18:21.313898Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-28T23:22:47.383364Z

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 92d407c4-7644-4117-89ab-69b2b5fbc7b7 · inbound

The UNDO Flip-Flop: A Controlled Probe for Reversible Semantic State Management in State Space Model cites this paper.

The UNDO Flip-Flop: A Controlled Probe for Reversible Semantic State Management in State Space Model The Parallelism Tradeoff: Limitations of Log-Precision Transformers

Reference 12

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T00:00:52.679518Z

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.

Observation 46577a00-6d80-470f-a833-df0717f63497 · inbound

A Measure-Theoretic Analysis of Reasoning: Structural Generalization and Approximation Limits cites this paper.

A Measure-Theoretic Analysis of Reasoning: Structural Generalization and Approximation Limits The Parallelism Tradeoff: Limitations of Log-Precision Transformers

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-05-20T08:03:08.976346Z

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.

Observation 545fdac3-6eb8-4635-a6b6-c13e98cc08b5 · inbound

Chain-of-Thought and Compressed Looped Transformers: A Memory-Budget Separation cites this paper.

Chain-of-Thought and Compressed Looped Transformers: A Memory-Budget Separation The Parallelism Tradeoff: Limitations of Log-Precision Transformers

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-06-28T23:22:47.385107Z

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.

Observation 7f415f93-39d3-4566-80f9-f40a4ee1f6fd · inbound

The Capability Convergence Hypothesis: Capability from Access Structure, Not Scale cites this paper.

The Capability Convergence Hypothesis: Capability from Access Structure, Not Scale The Parallelism Tradeoff: Limitations of Log-Precision Transformers

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-02T06:39:23.133012Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17c42a8b-cb7c-4692-b821-d9c4dd3bcac4 · inbound

The Capability Convergence Hypothesis: Capability from Access Structure, Not Scale cites this paper.

The Capability Convergence Hypothesis: Capability from Access Structure, Not Scale The Parallelism Tradeoff: Limitations of Log-Precision Transformers

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-03T02:03:25.349865Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47e1666f-4154-4b48-8459-8b05e6873af5 · inbound

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

Attention-based representations for multi-task computation The Parallelism Tradeoff: Limitations of Log-Precision Transformers

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-08T00:18:21.313898Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.