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Paper Citation Record · LEDGER

On the structure and spectra of an induced subgraph of essential ideal graph of $\mathbb{Z}_{n}$

As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2310.10999.

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

pith.paper-citation-record.v1
2310.10999 v1

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 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:30:15.254316Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T13:29:36.589316Z

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 59e6b7de-ff76-411c-8ffb-b0c94f4c3afe · inbound

Emergent Specialization: Rare Token Neurons in Language Models cites this paper.

Emergent Specialization: Rare Token Neurons in Language Models On the structure and spectra of an induced subgraph of essential ideal graph of $\mathbb{Z}_{n}$

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-15T20:30:15.254316Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T20:30:15.254316Z digest=sha256:94c51041f27e8de608fe82d3736d190f54a7500c553ba98cbb52d1052a755d0c

Observation 58553521-2c1a-4322-8e9e-dd9c761f114b · inbound

No Clustering, No Routing: How Transformers Actually Process Rare Tokens cites this paper.

No Clustering, No Routing: How Transformers Actually Process Rare Tokens On the structure and spectra of an induced subgraph of essential ideal graph of $\mathbb{Z}_{n}$

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-05T13:29:36.662831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T13:29:35.149606Z digest=sha256:cf9397cc072bc7c6c12ea5ac3ce983e2af37e900f523c6e01f37f25b6176d633