Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Lower bounds on transformers with infinite precision
As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2412.20195.
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 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-09T12:23:57.818820Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-08T00:18:21.788685Z
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 e0ae232d-ede8-4e86-b337-a761520ba6f4 · inbound
Lower Bounds for Chain-of-Thought Reasoning in Hard-Attention Transformers cites this paper.
Lower Bounds for Chain-of-Thought Reasoning in Hard-Attention Transformers Lower bounds on transformers with infinite precision
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T12:23:57.818820Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 49c33eec-0cf9-45d5-a364-6c2c18a18adb · inbound
Attention-based representations for multi-task computation cites this paper.
Attention-based representations for multi-task computation Lower bounds on transformers with infinite precision
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-08T00:18:21.793091Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.