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Paper Citation Record · LEDGER

Dilation of stochastic matrices by coarse graining

As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2106.03513.

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

pith.paper-citation-record.v1
2106.03513 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 1 of 1 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 2026-08-08T19:17:39.477122Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T05:30:23.456663Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

0
pith, observed 2026-08-10T05:30:23.456663Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 218bdfd5-c987-4830-bba7-6c0f3f79dfdd · inbound

The Born Representation Theorem and the Unistochastic Theorem cites this paper.

The Born Representation Theorem and the Unistochastic Theorem Dilation of stochastic matrices by coarse graining

Reference 2021

Resolution
verified exact
local_arxiv, observed 2026-08-08T19:17:39.632877Z

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=2026-08-08T19:17:39.477122Z digest=sha256:526028bfbc942c8db32431137079948f1fc84356a2c418ce1db2913b5fbe3670