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Paper Citation Record · LEDGER

A phase transition between positional and semantic learning in a solvable model of dot-product attention

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2402.03902.

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

pith.paper-citation-record.v1
2402.03902 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:50:05.181082Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T17:20:51.361535Z

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 38767efa-5cbd-4aa0-92a5-61a8cbf310d5 · inbound

Why Are Positional Encodings Nonessential for Deep Autoregressive Transformers? Revisiting a Petroglyph cites this paper.

Why Are Positional Encodings Nonessential for Deep Autoregressive Transformers? Revisiting a Petroglyph A phase transition between positional and semantic learning in a solvable model of dot-product attention

Reference 2022

Resolution
unresolved
no resolver link, observed 2026-08-10T22:50:05.181082Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:50:05.181082Z digest=sha256:7855b2f2953e708792a9aeeac5978a1b4b97a15f6fb63fe530822e5e80cb9097

Observation a2763031-f196-471e-9fe6-5dfbe87fa238 · inbound

Physics of Skill Learning cites this paper.

Physics of Skill Learning A phase transition between positional and semantic learning in a solvable model of dot-product attention

Reference 43

Resolution
verified exact
local_arxiv, observed 2026-08-10T17:20:51.365522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T17:20:51.109713Z digest=sha256:b8f20e67106fca151ce603f5a86a093316fa8ce81fb1f26f9e722ff65954f13d