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Paper Citation Record · LEDGER

Saturated Transformers are Constant-Depth 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:2106.16213.

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

pith.paper-citation-record.v1
2106.16213 v3

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 2026-08-06T04:20:10.605824Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-16T07:02:53.889397Z

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 46f67443-bc99-49d0-9490-7fc1ac0ea102 · inbound

Massive Activations in Large Language Models cites this paper.

Massive Activations in Large Language Models Saturated Transformers are Constant-Depth Threshold Circuits

Reference 60

Resolution
verified exact
arxiv_id, observed 2026-05-16T07:02:53.891005Z

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=2026-05-16T07:02:53.740597Z digest=sha256:d4b0f82935ea9ed5fe7ac127e52c3c8ff2e0ac6c844c84c76c0e0ec78e134e85

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

Topos Theory for Generative AI and LLMs cites this paper.

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.

source=arxiv_source observed=2026-08-06T04:20:10.605824Z digest=sha256:fbcc491da4f3ec403c206ba2eff13147f9ae0368aca76cdcf67bca3cc60e3797

Observation c23bbc13-4f3e-452f-899c-48ec87820cec · inbound

A Rose by Any Other Name Would Smell as Sweet: Categorical Homotopy Theory for Large Language Models cites this paper.

A Rose by Any Other Name Would Smell as Sweet: Categorical Homotopy Theory for Large Language Models Saturated Transformers are Constant-Depth Threshold Circuits

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-05T23:46:18.599196Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T23:46:18.599196Z digest=sha256:18a3f7594fc17dd99498ae61bfe0e73a01c219f912db8b006a3bd1ddbf9c57e9