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Paper Citation Record · LEDGER

An expressivity analysis of hierarchical modelling in deep transformers via bounded-depth grammars

As of 13 August 2026, this Paper Citation Record lists 2 of 2 outbound references and 1 inbound Pith citation observation for arXiv:2606.17522.

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

pith.paper-citation-record.v1
2606.17522 v2

Coverage vector

measured 2 of 2 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T11:11:52.303942Z

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T12:24:29.073277Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T12:24:29.421437Z

Reference resolution

2 of 2 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 27b487ed-acd6-4937-9e7c-3ff0131e8c5c · outbound

This paper cites Traverse the derivation tree shapec at leveli+ 1.

An expressivity analysis of hierarchical modelling in deep transformers via bounded-depth grammars Traverse the derivation tree shapec at leveli+ 1

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-02T11:11:52.303942Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T11:11:52.303942Z digest=sha256:0a892d46490459ebaf9784840eb9592d3c59bb0d783acd81d79d16e96186b404

Observation 1349e79d-1d72-4859-abf0-e08325d41b8f · outbound

This paper cites A Provably Correct Algorithm for Deep Learning that Actually Works.

An expressivity analysis of hierarchical modelling in deep transformers via bounded-depth grammars A Provably Correct Algorithm for Deep Learning that Actually Works

Reference 2018

Resolution
unresolved
no resolver link, observed 2026-08-02T11:11:52.259969Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T11:11:52.259969Z digest=sha256:0942b5590b06c507851261d0a0da4d542eb64696019603ca4ad10e8b36f3227d

Pith citing papers

Observation 39aee741-19ad-47e1-bba2-965f5924236d · inbound

Protoreasoning in Tiny Transformers cites this paper.

Protoreasoning in Tiny Transformers An expressivity analysis of hierarchical modelling in deep transformers via bounded-depth grammars

Reference 9

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T12:24:29.427373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T12:24:29.073277Z digest=sha256:b4118bb212fb316365500e6743e756ead17bdfe0a8e8b761595dfa2d64827223