Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Transformers learn through gradual rank increase
As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2306.07042.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-15T17:26:36.850936Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T06:19:38.266532Z
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 9285ac0d-c5c0-4f06-8fec-286356d5fa0e · inbound
Learning In-context n-grams with Transformers: Sub-n-grams Are Near-stationary Points cites this paper.
Learning In-context n-grams with Transformers: Sub-n-grams Are Near-stationary Points Transformers learn through gradual rank increase
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T17:26:36.850936Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c0a99193-4bce-448a-bf43-8401d6bc8fdd · inbound
Algebraic Dead Directions in LayerNorm Transformers: A Forward-Pass-Only Diagnostic at LLM Scale cites this paper.
Algebraic Dead Directions in LayerNorm Transformers: A Forward-Pass-Only Diagnostic at LLM Scale Transformers learn through gradual rank increase
Reference 6
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T00:29:15.234678Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1ef6ea65-400b-47b9-bf6a-dcbbf69aa419 · inbound
Dead-Direction Signatures: A Cheap Spectral Reading of Singular Complexity cites this paper.
Dead-Direction Signatures: A Cheap Spectral Reading of Singular Complexity Transformers learn through gradual rank increase
Reference 4
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T06:19:38.268271Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.