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Paper Citation Record · LEDGER

Statistically Meaningful Approximation: a Case Study on Approximating Turing Machines with Transformers

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2107.13163.

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

pith.paper-citation-record.v1
2107.13163 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 2026-08-07T06:10:21.092976Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-17T13:40:33.968231Z

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 83a1adf2-097c-47ce-9348-fda04cc58e76 · inbound

What learning algorithm is in-context learning? Investigations with linear models cites this paper.

What learning algorithm is in-context learning? Investigations with linear models Statistically Meaningful Approximation: a Case Study on Approximating Turing Machines with Transformers

Reference 27

Resolution
verified exact
arxiv_id, observed 2026-05-17T13:40:33.971330Z

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=2026-05-17T13:40:33.889712Z digest=sha256:93f9f697e764261568f879fe6dd4220a125c5ef46a6b3166ba6a13774579d927

Observation 4559da0e-1c67-4936-926e-00f186f34955 · inbound

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization cites this paper.

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Statistically Meaningful Approximation: a Case Study on Approximating Turing Machines with Transformers

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-07T06:10:21.092976Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T06:10:21.092976Z digest=sha256:07883ff9148c62aff40f8fca9ea29f092352af3e65a98c8a675810e189b25d71

Observation 0269cc66-d7ca-4cfb-b3e1-c8cd82b63e1a · inbound

A PyTorch Library of Turing-Complete Neural Networks cites this paper.

A PyTorch Library of Turing-Complete Neural Networks Statistically Meaningful Approximation: a Case Study on Approximating Turing Machines with Transformers

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-05-12T08:26:25.045888Z

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=2026-05-12T01:07:08.361683Z digest=sha256:55f4aa689dd2c9a069770f1efe69e56ba79de7158d8b80c82c8aeb9a90305f90