Permutation-Patterns Table-of-Contents Fragment

Definitions and mathematical statement

Unrecoverable mathematical statement. The supplied record for permanent UnsolvedMath ID $30005756$, source code catalogue entry, contains a table-of-contents or heading fragment: "282 Justin Troyka (reporter) Open Problems $\ldots$ Mini-Workshop: Permutation Patterns Table of Contents" (dot leaders abbreviated).

This fragment supplies no mathematical question, definitions, hypotheses, domains, quantifiers, boundary conditions, or requested conclusion. Consequently, no precise mathematical statement can be recovered from the supplied evidence. The number $282$ appears in the fragment, but it does not identify a particular mathematical problem. The workshop topic does not determine an intended assertion about permutation patterns.

The registry labels the record open and its statement status unrecoverable; its clean statement is absent. These are supplied curation labels, not an independently verified claim that a particular mathematical problem remains open. The supplied verification note reports that the official report confirms the fragment's table-of-contents and heading character, and that the original record remains publicly visible for provenance without promotion of a separate clean statement. This verification claim has not been independently checked here. Justin Troyka is identified only as reporter, not as proposer; no proposer is supplied, and the registry's proposed-year field is $2024$.

Short English statement

Permanent UnsolvedMath ID $30005756$ preserves a table-of-contents fragment from a permutation-patterns workshop report. It contains no recoverable mathematical question. A statement-only draft must therefore record the missing formulation and await human review of the underlying source.

Sources

• Supplied local UnsolvedMath registry record, permanent ID $30005756$, source code catalogue entry, title "Permutation-Patterns Table-of-Contents Fragment," in the collection "Oberwolfach Reports Open Problems." The original statement is retained for provenance; no clean statement is supplied.
• Supplied source citation: Mini-Workshop: Permutation Patterns (2024), Oberwolfach Reports, pp. 273--308, DOI 10.4171/owr/2024/6. Source URL: https://doi.org/10.4171/owr/2024/6. The supplied background describes Oberwolfach Reports as documenting mathematical workshops and their open-problem discussions. The fragment names Justin Troyka as reporter; it supplies no problem proposer.
• Supplied literature source, labelled "original OWR report": https://doi.org/10.4171/owr/2024/6. Literature assessment date: 2026-08-22. This is supplied dated curation, not independently verified here. Its status is "open," while its assessment says the extracted text is a report header or table-of-contents fragment rather than a determinate mathematical assertion and cannot be resolved as stated. The supplied background requests independent verification of time-sensitive status and cited claims.