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15 changes: 12 additions & 3 deletions density-chain.md
Original file line number Diff line number Diff line change
Expand Up @@ -5,7 +5,7 @@ venue: "arXiv preprint (cs.AI; math.CO; stat.CO), 2025"
source: "https://arxiv.org/abs/2508.01581 (pinned: arXiv:2508.01581v1, 2025-08-03)"
license: "CC BY 4.0"
date_summarized: 2026-07-18
verified_against_source: 2026-07-19
verified_against_source: 2026-07-20
tier_budget_words: 150
tags: [adaptive-agents, agent-design, meta-prompting, topos-theory, sheaf-theory, rough-fuzzy-sets, monte-carlo, llm]
entity_ledger:
Expand Down Expand Up @@ -362,12 +362,21 @@ and came back with corrections.
- Released data: https://github.com/cadavid1/PCF (verified as the embedded
hyperlink behind the Abstract's "See GitHub here")
- Earlier version: Research Square (rs-6397317/v1), per the paper's header note
- Verified against source: 2026-07-19, against the arXiv v1 PDF; section, table,
and figure numbering follows that rendering
- Verified against source: 2026-07-20, against the arXiv v1 PDF; section, table,
and figure numbering follows that rendering. Prior verification: 2026-07-19
(corrections itemized below).
- Tier budget convention: 150 words of prose per tier, bracketed locators
excluded from the count. All five tiers are exactly 150 under that rule, so
density is the only variable across the chain.
- Revisions or errata noticed since: none in the source
- **Re-verification on 2026-07-20**, source-first against arXiv:2508.01581v1:
every T1–T5 claim, the entity-ledger locators, the Key-results table, the
Table 1 OLS figures, the Table 2 spline figures, the Table 3 tier
descriptives, both R² values (0.217 OLS / 0.297 spline), the three-level
tier collapse (5-star distinct; 4-star ≈ 3-star; 2-star ≈ 1-star with 1-star
marginally higher on both measures), and the absence of any
adaptable-vs-non-adaptable statistic were all reconfirmed at the source. No
discrepancies found; verification date refreshed only.
- **Corrections applied to this note on 2026-07-19**, all source-first:
1. The headline finding was misstated across all five tiers as "adaptable
agents beat static ones, but the benefit shrinks as complexity rises." The
Expand Down
4 changes: 2 additions & 2 deletions index.json
Original file line number Diff line number Diff line change
@@ -1,6 +1,6 @@
{
"schema_version": 1,
"updated": "2026-07-18",
"updated": "2026-07-20",
"repo": "https://github.com/OpenCnid/pcf-adaptive-agents",
"notes": [
{
Expand All @@ -21,7 +21,7 @@
"pinned_date": "2025-08-03",
"source_license": "CC BY 4.0",
"date_summarized": "2026-07-18",
"verified_against_source": "2026-07-19",
"verified_against_source": "2026-07-20",
"tier_budget_words": 150,
"tags": ["adaptive-agents", "agent-design", "meta-prompting", "topos-theory", "sheaf-theory", "rough-fuzzy-sets", "monte-carlo", "llm"]
}
Expand Down