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Paper Citation Record · LEDGER

Spectral Sparsification of Graphs

As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:0808.4134.

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

pith.paper-citation-record.v1
0808.4134 v3

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 2026-08-15T06:32:42.880941+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:14:34.140894Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T16:55:38.961796Z

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 6ecad373-fc81-4fa9-88b5-b60416d358d5 · inbound

Parallel Batch-Dynamic Graphs: Algorithms and Lower Bounds cites this paper.

Parallel Batch-Dynamic Graphs: Algorithms and Lower Bounds Spectral Sparsification of Graphs

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-14T15:14:34.140894Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:14:34.140894Z digest=sha256:199edb1b9711ec794bf7dc39e5fb83199b51b0b26180745a1effc834009490a8

Observation 2d714d62-602e-4fef-8024-497be0a839a4 · inbound

Accelerating Transistor-Level Simulation of Integrated Circuits via Equivalence of RC Long-Chain Structures cites this paper.

Accelerating Transistor-Level Simulation of Integrated Circuits via Equivalence of RC Long-Chain Structures Spectral Sparsification of Graphs

Reference 33

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T16:55:39.037442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T16:55:35.937019Z digest=sha256:97358c76b5da98b206269280a43ac816dbbcea59e19217a3669b936ba3095c56