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Check the hypotheses of Theorem 2.2 where it is applied to the constructed circles.

2026-rafikzeraoulia-erdos-653 · task distance-count-conversion

Task type: read check
Entry points: Theorem 1.1, Proposition 2.1, Section 3
Source PDF: Download the exact manuscript
Centered-circle incidence bounds for planar distance-count spectra · version a87ca77b143f…
Effort: [FILL: editor estimate] (estimated by significance-editor)
Prerequisites: Theorem 2.2 as cited in the manuscript

Status

Open.

How to do this

Download the exact manuscript above and start with the stated entry points. The version hash identifies the file for the eventual record; you do not need to calculate it before reading.
Read or reproduce only the stated scope and note the method you actually used.
Submit what you found through the linked attestation form below, using the record, task, scope, and manuscript hash shown here. No Significance account is required; GitHub may ask you to sign in.

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Attestation template

Fill only what you did. State what you checked and found—not whether the whole proof is correct.

id: att-distance-count-conversion
task_id: distance-count-conversion
reviewer: '[your name or handle]'
scope: Check the hypotheses of Theorem 2.2 where it is applied to the 
  constructed circles.
manuscript_sha256: 
  a87ca77b143fd6382ce3882fbef2320c3d037ed92d4128fe078689784bfc4147
asserted_at: '[YYYY-MM-DDTHH:MM:SSZ]'
method: '[what you actually did: read / rederived / rebuilt / compared]'
finding: '[what you checked and found about exactly this scope]'
limits: '[what you did not check — optional but encouraged]'