Pith Number

pith:NI2NFF25

pith:2026:NI2NFF25DNF6GHNKQJHBPLQHGJ

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When Coordination Is Avoidable: A Monotonicity Analysis of Organizational Tasks

Harang Ju

Coordination is required for correctness only when organizational tasks are non-monotonic.

arxiv:2602.18673 v3 · 2026-02-21 · cs.MA · cs.DC

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\pithnumber{NI2NFF25DNF6GHNKQJHBPLQHGJ}

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Claims

C1strongest claim

Here we show that Thompson's classic taxonomy of interdependence maps to that criterion, yielding a decision rule for when coordination is required for correctness. ... Under our decompositions, 74% of workflows and 42% of O*NET tasks are monotonic, implying that up to 24-57% of coordination spending is unnecessary for correctness.

C2weakest assumption

The assumption that the monotonicity criterion from distributed systems theory applies directly to organizational tasks without additional factors such as human judgment errors, communication delays, or task decomposition choices that could alter the monotonicity classification.

C3one line summary

A bridge theorem links Thompson's interdependence types to monotonicity, finding 74% of APQC workflows and 42% of O*NET tasks monotonic and thus coordination-avoidable for correctness.

Receipt and verification

First computed	2026-05-28T00:05:15.129610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a34d2975d1b4be31daa824e17ae07324f0913e758951b211499a7759d09c902

Aliases

arxiv: 2602.18673 · arxiv_version: 2602.18673v3 · doi: 10.48550/arxiv.2602.18673 · pith_short_12: NI2NFF25DNF6 · pith_short_16: NI2NFF25DNF6GHNK · pith_short_8: NI2NFF25

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/NI2NFF25DNF6GHNKQJHBPLQHGJ \
  | 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: 6a34d2975d1b4be31daa824e17ae07324f0913e758951b211499a7759d09c902

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0798c47239f08fcc69c4aaa058b5563234542bc16b032d3d74b5cc21647fc390",
    "cross_cats_sorted": [
      "cs.DC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.MA",
    "submitted_at": "2026-02-21T00:55:09Z",
    "title_canon_sha256": "66e8bc962eccf821057a24f322186e45ef62d73c9b24dc79f7c88a20b3f0fcbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.18673",
    "kind": "arxiv",
    "version": 3
  }
}