PROJECT_BRIEF

PROJECT_BRIEF — odd-sum (toy example)

> Per-paper intent and constraints. Filled through a short interview with the > operator (the write-paper skill asks; you do not invent answers). The math > comes from the fact graph — this file is about framing, audience, and the > per-paper overrides, NOT the mathematics. > > Everything below is synthetic placeholder data for the example.

Title / working title

The Sum of the First $n$ Odd Numbers

Audience & venue

A general mathematical audience; an introductory note-length venue. Target: arXiv `math.HO`, mirrored to the synthetic journal *J. Example Math.*

Authors & affiliations

• A. Author, Department of Example Studies, Example University (a.author@example.edu)
• B. Coauthor, Institute for Placeholder Mathematics (b.coauthor@example.org)

(All names, affiliations, and emails are obviously-synthetic placeholders for this example.)

Scope: what this paper claims

Headline result: `fact_odd_sum_main` — for every integer $n \ge 1$, the sum of the first $n$ positive odd numbers equals $n^2$. Supporting lemmas: `fact_odd_recurrence` (the partial-sum recurrence) and `fact_square_recurrence` (the recurrence for squares). Note length; one theorem with two short lemmas.

<!-- STRUCTURED FIELDS (machine-read by the write-paper skill — keep the `field: value` shape on its own line; the prose above is for humans). -->

Target results (headline facts)

headline_fact_ids: fact_odd_sum_main

The paper is written from the transitive-predecessor closure of this target (here: `fact_odd_sum_main` plus its two predecessor lemmas — i.e. all three facts), and the reference ledger is seeded from the same closure.

Structural exemplar (optional)

structural_exemplar:

(No anchor supplied for this example; the generic PAPER_STRUCTURE.md note tier supplies the structure. Voice comes from the unified STYLE_GUIDE.)

Per-paper style overrides (override the global STYLE_GUIDE for THIS paper only)

None. Follow the global STYLE_GUIDE and the note tier of PAPER_STRUCTURE.

Deadline / status

No deadline. Illustrative final draft for the example.

Notes

• Tier: **note** (one headline result plus two immediate supporting lemmas).
• Automated-system disclosure: ON by default (name "the Danus system"). No

funding and no personal thanks were supplied, so omit both of those acknowledgement blocks.

• No verification statement was supplied, so the disclosure Remark omits the

re-verification sentence.