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Paper Citation Record · LEDGER

Patterns Within the Markov Tree

As of 8 August 2026, this Paper Citation Record lists 3 of 3 outbound references and 1 inbound Pith citation observation for arXiv:2506.04299.

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

pith.paper-citation-record.v1
2506.04299 v2

Coverage vector

measured 3 of 3 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:04:13.961939Z

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:04:13.951882Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T11:04:13.999045Z

Reference resolution

3 of 3 outbound references displayed

  • verified exact1
  • verified fuzzy1
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 14c50eb7-2e94-44e7-8017-1847241ba084 · outbound

This paper cites Patterns Within the Markov Tree.

Patterns Within the Markov Tree Patterns Within the Markov Tree

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:04:14.005850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:04:13.951882Z digest=sha256:bcd76d5140d5ec665003d9d59e719cc63a0df3b8225d3875b11e1ff79d90a9d7

Observation 47321809-0e63-486e-8f8d-e56e14d3f223 · outbound

This paper cites The abundance of patterns of the Fibonacci and Pell numbers in Region 1 and Region 2 of the Markov tree provided signposts for further analysis using Mathematica.

Patterns Within the Markov Tree The abundance of patterns of the Fibonacci and Pell numbers in Region 1 and Region 2 of the Markov tree provided signposts for further analysis using Mathematica

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:04:14.022837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:04:13.961939Z digest=sha256:7311c9c8125bc18e9babd72a074e982aec4ab9ec661845d6317d710da16f68e2

Observation ba7c5fd0-fb9b-4e39-971a-4ab4aa37202f · outbound

This paper cites an unresolved cited work.

Patterns Within the Markov Tree Unresolved cited work

Reference 89

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:04:14.039352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:04:13.957634Z digest=sha256:229b148bfb023c71f432f268f86c3b51e6970056df5a25fbd4280904e67ab683

Pith citing papers

Observation 14c50eb7-2e94-44e7-8017-1847241ba084 · inbound

Patterns Within the Markov Tree cites this paper.

Patterns Within the Markov Tree Patterns Within the Markov Tree

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:04:14.005850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:04:13.951882Z digest=sha256:bcd76d5140d5ec665003d9d59e719cc63a0df3b8225d3875b11e1ff79d90a9d7