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Paper Citation Record · LEDGER

The case of equality in BK

As of 20 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 0 inbound Pith citation observations for arXiv:2607.02272.

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

pith.paper-citation-record.v1
2607.02272 v1

Coverage vector

measured 4 of 4 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-03T06:38:13.791644Z

measured 4 of 4 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 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

4 of 4 outbound references displayed

  • verified exact1
  • verified fuzzy3
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4123a264-0740-4e6c-985d-ae5b6a3c9565 · outbound

This paper cites 321, Springer-Verlag, Berlin, 1999.

The case of equality in BK 321, Springer-Verlag, Berlin, 1999

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T12:31:00.430072Z

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=2026-07-03T06:38:13.791644Z digest=sha256:54fa008fb213825e5539c5c04667d0e7b0a427f853063758ec7ca3fcf5cde64b

Observation 1fdfb1ae-51fb-4d29-a677-40eb82bbd50a · outbound

This paper cites Strict inequalities for arm exponents in planar percolation.

The case of equality in BK Strict inequalities for arm exponents in planar percolation

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-07-03T06:47:42.734227Z

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=2026-07-03T06:38:13.791644Z digest=sha256:cc406f6c0f5ebe93dbfe3d11eb7c4ee955fa03e187c89424c68b380951293032

Observation d960f65a-e495-471c-9d4b-66034ec5a23e · outbound

This paper cites van den Berg, Disjoint occurrences of events: Results and conjectures , Particle systems, random media and large deviations, Proc.

The case of equality in BK van den Berg, Disjoint occurrences of events: Results and conjectures , Particle systems, random media and large deviations, Proc

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T12:31:00.425933Z

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=2026-07-03T06:38:13.791644Z digest=sha256:bbfb03d075a07fee36458678d8db673a9ac4b2064d20ffb371ef254815f6777e

Observation f5d935af-30fa-4c19-b285-33bbfcd07ce9 · outbound

This paper cites van den Berg and H.

The case of equality in BK van den Berg and H

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T12:31:00.427475Z

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=2026-07-03T06:38:13.791644Z digest=sha256:3a0314ddd8c26d371be1c9f8254ba117cd1df778067d28e426f2da20ee26edcf

Pith citing papers

No inbound Pith citation observations are available.