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Paper Citation Record · LEDGER

A Million-dollar Proof

As of 12 August 2026, this Paper Citation Record lists 2 of 2 outbound references and 1 inbound Pith citation observation for arXiv:2507.13365.

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

pith.paper-citation-record.v1
2507.13365 v1

Coverage vector

measured 2 of 2 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:40:53.114317Z

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:40:53.114317Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T20:40:53.278904Z

Reference resolution

2 of 2 outbound references displayed

  • verified exact1
  • verified fuzzy1
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1135a8fc-c150-4595-bed4-0725722717cb · outbound

This paper cites PUBLISHED IN MATHEMATICAL INTELLIGENCER, VOL.

A Million-dollar Proof PUBLISHED IN MATHEMATICAL INTELLIGENCER, VOL

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:40:53.565793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T20:40:53.063554Z digest=sha256:5c15ea33860ac93acf13fcb6d50960f5b9d18d4032b344453ec32c64b00116e1

Observation f6e4ae47-de60-42e2-8133-e92710190850 · outbound

This paper cites A Million-dollar Proof.

A Million-dollar Proof A Million-dollar Proof

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-06T20:40:53.355565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T20:40:53.114317Z digest=sha256:ce637dc31bde94600106aa4692b5245b886338a08380f72eb695a1281c3e2012

Pith citing papers

Observation f6e4ae47-de60-42e2-8133-e92710190850 · inbound

A Million-dollar Proof cites this paper.

A Million-dollar Proof A Million-dollar Proof

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-06T20:40:53.355565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T20:40:53.114317Z digest=sha256:ce637dc31bde94600106aa4692b5245b886338a08380f72eb695a1281c3e2012