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Paper Citation Record · LEDGER

The Shape of Learning: Anisotropy and Intrinsic Dimensions in Transformer-Based Models

As of 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2311.05928.

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

pith.paper-citation-record.v1
2311.05928 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 2026-08-23T06:30:58.430688+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:47:42.895701Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

1
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 52b9a5e0-cebf-4bee-9fac-9b992743c658 · inbound

Transformers for Learning on Noisy and Task-Level Manifolds: Approximation and Generalization Insights cites this paper.

Transformers for Learning on Noisy and Task-Level Manifolds: Approximation and Generalization Insights The Shape of Learning: Anisotropy and Intrinsic Dimensions in Transformer-Based Models

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-22T16:01:46.035204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-22T15:58:32.240338Z digest=sha256:4ee91cf5c7c62a93cdd1abc9dc3aef026173cae586100fc297f8e4abd255bd47

Observation 058c8497-7809-493d-bb71-07f22dfaa99b · inbound

Geometric Metrics and LLMs: What They Measure and When They Work cites this paper.

Geometric Metrics and LLMs: What They Measure and When They Work The Shape of Learning: Anisotropy and Intrinsic Dimensions in Transformer-Based Models

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-15T15:47:42.895701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:47:42.895701Z digest=sha256:8f06ec7b15216c4936bc788db273ef02d9fd74e892a0954d15f60c40cf9012bb

Observation 9aab1fcd-5778-4470-8640-48a8e840b2b2 · inbound

Contribution Weights: A Geometrical Analysis of Self-Attention Transformers cites this paper.

Contribution Weights: A Geometrical Analysis of Self-Attention Transformers The Shape of Learning: Anisotropy and Intrinsic Dimensions in Transformer-Based Models

Reference 73

Resolution
verified exact
arxiv_id, observed 2026-06-28T23:32:46.710465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-06-28T23:29:02.457697Z digest=sha256:ec809372702361ed0d560e4b51343513c3111edc533f36b380b362f6ae6825bd