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Paper Citation Record · LEDGER

Algorithms for Approximate Minimization of the Difference Between Submodular Functions, with Applications

As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1207.0560.

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

pith.paper-citation-record.v1
1207.0560 v4

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 2026-08-16T06:30:59.297886+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:12:08.565556Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T15:50:36.945771Z

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 24ac79ac-af82-424b-be73-0c92395ba9cb · inbound

Sum of Squares Submodularity cites this paper.

Sum of Squares Submodularity Algorithms for Approximate Minimization of the Difference Between Submodular Functions, with Applications

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-08-15T15:50:36.952171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T15:50:36.828440Z digest=sha256:58f5efc0057d66d5f8880605ac8d6a03f24cd1f691186b68ff4620a2590a4a8e

Observation 03a4de1d-256a-44f7-ab3d-3a43e724a87c · inbound

On additive averaging kernels for finite Markov chains cites this paper.

On additive averaging kernels for finite Markov chains Algorithms for Approximate Minimization of the Difference Between Submodular Functions, with Applications

Reference 2013

Resolution
unresolved
no resolver link, observed 2026-08-02T16:28:28.480730Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T16:28:28.480730Z digest=sha256:bb2fc69fd63e93d5926030e12628eb2d696e324504fe8692b5a75befd81b0545

Observation 6ebcc7e9-5ff9-40de-b24d-58b07db4d237 · inbound

MASCOT: Model-Aware Submodular Coverage for Composite-Attribute Text-to-Image Retrieval cites this paper.

MASCOT: Model-Aware Submodular Coverage for Composite-Attribute Text-to-Image Retrieval Algorithms for Approximate Minimization of the Difference Between Submodular Functions, with Applications

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-16T00:12:08.565556Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T00:12:08.565556Z digest=sha256:1ee5a9cba2a071d682c5e78ee7129b0fd6a5029bc1217d752a77a016fe26ac32