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Paper Citation Record · LEDGER

Additive Approximation Schemes for Low-Dimensional Embeddings

As of 17 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2509.09652.

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

pith.paper-citation-record.v1
2509.09652 v1

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T18:59:37.053467Z

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

7 of 7 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b1e5589b-55b3-47ef-8c84-5b93e28e77d8 · outbound

This paper cites an unresolved cited work.

Additive Approximation Schemes for Low-Dimensional Embeddings Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:37.025261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:37.025261Z digest=sha256:0cfa518304a2367cac3dd194eba3439f6b67e78c4e99deb89cb49f5bc509bcf6

Observation d8e3b8aa-8aea-49dd-a93e-c9d70d5fef58 · outbound

This paper cites (b) If i< ℓ read more of the solution by setting S(i+ 1)←SEED(y(i)) and y(i+1)←x S(i+1).

Additive Approximation Schemes for Low-Dimensional Embeddings (b) If i< ℓ read more of the solution by setting S(i+ 1)←SEED(y(i)) and y(i+1)←x S(i+1)

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:37.029860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:37.029860Z digest=sha256:a1b8d32c9511e74e0a764c9ed40104750b26002b2a5ef12dc1975d1dd8b58587

Observation cd0d6282-7472-42f6-8ef9-bc2a5ba1e235 · outbound

This paper cites Note that the algorithm as stated in Algorithm 5.5 reads the entire solution in enumerating over all possible seed sets of size k2 log(k/ε)/ε 4.

Additive Approximation Schemes for Low-Dimensional Embeddings Note that the algorithm as stated in Algorithm 5.5 reads the entire solution in enumerating over all possible seed sets of size k2 log(k/ε)/ε 4

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:37.033915Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:37.033915Z digest=sha256:ab8634cce870c4b0c27c578db669a810cd85b773c53a1a21e6a8c9d625740cdc

Observation bff15cdd-376c-4603-9c2a-588cbde9ec0c · outbound

This paper cites an unresolved cited work.

Additive Approximation Schemes for Low-Dimensional Embeddings Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:37.039458Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:37.039458Z digest=sha256:f1be42ed0c6f6460177d2058abbf8f890270667a35a5135e40989c159bfe37ad

Observation 6a9b51be-4c8f-4325-99b5-bcbee3f59d76 · outbound

This paper cites an unresolved cited work.

Additive Approximation Schemes for Low-Dimensional Embeddings Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:37.043851Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:37.043851Z digest=sha256:eaa75010d64b0d37296b89d00ea3ab1d4aca0c37c46e539baac5a23fe4ece989

Observation ac194c15-5b54-44d1-bd8c-f3bd90dd9bc5 · outbound

This paper cites an unresolved cited work.

Additive Approximation Schemes for Low-Dimensional Embeddings Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:37.048931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:37.048931Z digest=sha256:7edbf484daf2a1a99be2b7c181b0d196b381c0b21274bb12adae95c15c07c278

Observation 30b34c40-112b-44fd-82cf-366cbb64ce3a · outbound

This paper cites We now return to the proof of Theorem A.1.

Additive Approximation Schemes for Low-Dimensional Embeddings We now return to the proof of Theorem A.1

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:37.053467Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:37.053467Z digest=sha256:d41ab991e446b34727fc35df635412dc1a307e18472cccd6228b73fd99eea04c

Pith citing papers

No inbound Pith citation observations are available.