Paper Citation Record · LEDGER

How transformers learn structured data: insights from hierarchical filtering

As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2408.15138.

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

pith.paper-citation-record.v1
2408.15138 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T11:47:19.992093Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T05:39:40.951218Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
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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 c863be64-5225-447f-8dc1-d5bd06284a44 · inbound

Towards Fundamental Language Models: Does Linguistic Competence Scale with Model Size? cites this paper.

Towards Fundamental Language Models: Does Linguistic Competence Scale with Model Size? How transformers learn structured data: insights from hierarchical filtering

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-05T11:47:19.992093Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da0f22af-ea31-4280-ba49-1e888a21c31e · inbound

Distributional simplicity bias and effective convexity in Energy Based Models cites this paper.

Distributional simplicity bias and effective convexity in Energy Based Models How transformers learn structured data: insights from hierarchical filtering

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-05-11T02:25:53.693368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b5116401-7c7f-4f79-94c6-52a9997ee029 · inbound

Sampling Data with Chains of Forward-Backward Diffusion Steps cites this paper.

Sampling Data with Chains of Forward-Backward Diffusion Steps How transformers learn structured data: insights from hierarchical filtering

Reference 57

Resolution: verified exact; arxiv_id, observed 2026-06-29T19:23:53.972458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3891a5e1-61a3-4641-85d0-fd474d362a33 · inbound

Learn from your own latents and not from tokens: A sample-complexity theory cites this paper.

Learn from your own latents and not from tokens: A sample-complexity theory How transformers learn structured data: insights from hierarchical filtering

Reference 45

Resolution: verified exact; arxiv_id, observed 2026-06-29T18:23:50.523601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 21d9da67-9dca-4f68-b546-c5c27b9c13a6 · inbound

Statistical Properties of Training & Generalization cites this paper.

Statistical Properties of Training & Generalization How transformers learn structured data: insights from hierarchical filtering

Reference 212

Resolution: metadata mismatch; arxiv_id, observed 2026-07-04T05:39:40.953159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1bd090d1-d751-49fa-9f87-a98c057f2100 · inbound

Statistical Properties of Training & Generalization cites this paper.

Statistical Properties of Training & Generalization How transformers learn structured data: insights from hierarchical filtering

Reference 212

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T21:57:25.554618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 08a7375c-6692-40bb-ab18-403c46c290d9 · inbound

Critical Percolation as a Synthetic Data Model for Interpretability cites this paper.

Critical Percolation as a Synthetic Data Model for Interpretability How transformers learn structured data: insights from hierarchical filtering

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-07-04T03:49:29.597546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f781a555-c577-4486-a15d-f6e6be2b0d9d · inbound

Phase structure of the Random Language Model cites this paper.

Phase structure of the Random Language Model How transformers learn structured data: insights from hierarchical filtering

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-07-01T18:25:58.312283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.