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Paper Citation Record · LEDGER

Average-Hard Attention Transformers are Constant-Depth Uniform Threshold Circuits

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2308.03212.

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

pith.paper-citation-record.v1
2308.03212 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T11:04:47.223422Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T11:37:03.257809Z

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 f125b8d1-327f-4444-a71b-e6f3b46b29a1 · inbound

BAR Conjecture: the Feasibility of Inference Budget-Constrained LLM Services with Authenticity and Reasoning cites this paper.

BAR Conjecture: the Feasibility of Inference Budget-Constrained LLM Services with Authenticity and Reasoning Average-Hard Attention Transformers are Constant-Depth Uniform Threshold Circuits

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-06T11:04:47.223422Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T11:04:47.223422Z digest=sha256:39a46c3b1719c8f4a326f3627e92c13f9ea28583e059c56fd27bf3ceda78e10a

Observation b91be800-59b6-4fc9-8730-d150fc366dbe · inbound

On the Ability of Transformers to Verify Plans cites this paper.

On the Ability of Transformers to Verify Plans Average-Hard Attention Transformers are Constant-Depth Uniform Threshold Circuits

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-13T21:49:42.006847Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T21:49:42.006847Z digest=sha256:86cf9e7ec2768c08b2ca39c423c53cd6c3563b515c23a72c73d211a80375111a

Observation 1c6dacd6-29c8-4860-ad3e-ef6adafd1f0c · inbound

A First-Principles Theory of Slow Thinking and Active Perception cites this paper.

A First-Principles Theory of Slow Thinking and Active Perception Average-Hard Attention Transformers are Constant-Depth Uniform Threshold Circuits

Reference 148

Resolution
verified exact
local_arxiv, observed 2026-07-10T11:37:03.259993Z

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=2026-07-10T11:32:24.374377Z digest=sha256:2da37f960c186576d14523c523cf2ccfdc0354eb02c0bdbfb3c91483033c8621