Pith Number

pith:VTSYSBJY

pith:2026:VTSYSBJYGDSK3QTRTBYTU2M4AR

not attested not anchored not stored refs pending

Stabilization Without Simplification: A Two-Dimensional Model of Software Evolution

Masaru Furukawa

Software systems can become more predictable over time without reducing structural complexity.

arxiv:2604.06709 v2 · 2026-04-08 · cs.SE

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\usepackage{pith}
\pithnumber{VTSYSBJYGDSK3QTRTBYTU2M4AR}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

We show that, under explicit assumptions on non-decreasing average structural load, structural regularization, process stabilization, and covariance control, there exists a regime in which uncertainty decreases while structural burden does not. This regime formalizes the phenomenon of stabilization without simplification.

C2weakest assumption

The four explicit assumptions (non-decreasing average structural load, structural regularization, process stabilization, and covariance control) hold sufficiently in real software systems for the existence result to apply.

C3one line summary

Under stated assumptions, software systems can reduce uncertainty in change effort while structural burden remains non-decreasing.

Receipt and verification

First computed	2026-07-01T01:17:50.258960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ace589053830e4adc27198713a699c0440059bdd36d72050e66adecc83d7f5ff

Aliases

arxiv: 2604.06709 · arxiv_version: 2604.06709v2 · doi: 10.48550/arxiv.2604.06709 · pith_short_12: VTSYSBJYGDSK · pith_short_16: VTSYSBJYGDSK3QTR · pith_short_8: VTSYSBJY

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VTSYSBJYGDSK3QTRTBYTU2M4AR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ace589053830e4adc27198713a699c0440059bdd36d72050e66adecc83d7f5ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4502e243f90a17808ffa43f87f7e6561809368f27027bfbd26364530754e6a43",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.SE",
    "submitted_at": "2026-04-08T06:03:42Z",
    "title_canon_sha256": "b4b48070f2fded62686a6bdfa1a55b172b477540fdcee1d034b54b4f04e1ec30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.06709",
    "kind": "arxiv",
    "version": 2
  }
}