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Paper Citation Record · LEDGER

Implicit Geometry of Next-token Prediction: From Language Sparsity Patterns to Model Representations

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2408.15417.

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

pith.paper-citation-record.v1
2408.15417 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 2026-08-09T06:31:02.800959+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:29:33.608339Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-21T20:40:36.318553Z

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 4177ec77-2d36-4819-af22-815479f91d08 · inbound

On the Effect of Negative Gradient in Group Relative Deep Reinforcement Optimization cites this paper.

On the Effect of Negative Gradient in Group Relative Deep Reinforcement Optimization Implicit Geometry of Next-token Prediction: From Language Sparsity Patterns to Model Representations

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-07T14:29:33.608339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:29:33.608339Z digest=sha256:2c6d2179d66d6ecb61781f607155cc41ad125bd58ff6be978a5ca9302e91bce4

Observation cfe98920-7855-435f-ab39-8ac5570f4a21 · inbound

Deep sequence models tend to memorize geometrically; it is unclear why cites this paper.

Deep sequence models tend to memorize geometrically; it is unclear why Implicit Geometry of Next-token Prediction: From Language Sparsity Patterns to Model Representations

Reference 206

Resolution
verified exact
arxiv_id, observed 2026-05-21T20:40:36.320608Z

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.

source=pdf_text observed=2026-05-21T20:38:18.005002Z digest=sha256:c53b22b283c6326e68cfab5800a8da2a844bd9bbbba82d0323fc3089fb231438

Observation 24d41c63-5698-43df-b4fb-69ea1699c98e · inbound

Scale Determines Whether Language Models Organize Representation Geometry for Prediction cites this paper.

Scale Determines Whether Language Models Organize Representation Geometry for Prediction Implicit Geometry of Next-token Prediction: From Language Sparsity Patterns to Model Representations

Reference 10

Resolution
malformed identifier
arxiv_id, observed 2026-05-20T15:33:25.674921Z

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.

source=pdf_text observed=2026-05-20T15:29:49.147997Z digest=sha256:afa1b2ed7f5560e538968535fd213681b84a2526f4d7e4115aa4829bf114e0e0