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Paper Citation Record · LEDGER

Faster spectral sparsification and numerical algorithms for SDD matrices

As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1209.5821.

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

pith.paper-citation-record.v1
1209.5821 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 2026-08-14T15:14:34.107173Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T15:14:34.276162Z

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 e458956b-500d-41e2-9a03-0a6b96585b9b · inbound

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

Parallel Batch-Dynamic Graphs: Algorithms and Lower Bounds Faster spectral sparsification and numerical algorithms for SDD matrices

Reference 10

Resolution
metadata mismatch
local_arxiv, observed 2026-08-14T15:14:34.281825Z

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=2026-08-14T15:14:34.107173Z digest=sha256:c944484aaeeec0dd2df17f14eccfda0af9afd5250aa25c066ac2e25a60d14f39

Observation e4156b5b-6532-4aaf-bcc6-91b795dce5ce · inbound

Parallel Spectral Graph Sparsification via Low Diameter Decompositions cites this paper.

Parallel Spectral Graph Sparsification via Low Diameter Decompositions Faster spectral sparsification and numerical algorithms for SDD matrices

Reference 10

Resolution
unresolved
no resolver link, observed 2026-07-31T02:32:37.899730Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T02:32:37.899730Z digest=sha256:a63d2eaf46052afdb0547365da9575a634aed1a53393b2abae3cba834a389b29