Pith Number

pith:H4FZSBWY

pith:2026:H4FZSBWYX6RD5NONH7ACPC6XGL

not attested not anchored not stored refs pending

Local Rules for Directing the Emergence of Global Properties in Complex Structures

Andrew Slezak, Varda F. Hagh

Local behavioral rules can be designed to direct targeted global properties like area coverage and curvature in bottom-up agent-built networks.

arxiv:2604.12057 v2 · 2026-04-13 · cond-mat.soft

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\usepackage{pith}
\pithnumber{H4FZSBWYX6RD5NONH7ACPC6XGL}

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Record completeness

1 Bitcoin timestamp

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

By identifying the degrees of freedom that influence a given property and specifying how they are tuned through local rules, we demonstrate that the corresponding global properties can be directed. Agents can reliably achieve targeted values for these properties while maintaining low variability in the presence of stochasticity.

C2weakest assumption

That the minimal model of agents depositing line segments, inspired by tent caterpillars, sufficiently captures the essential mechanisms of bottom-up construction such that tuning local degrees of freedom will direct global properties without major unintended side effects or loss of other desired behaviors.

C3one line summary

A systematic method tunes local degrees of freedom in a minimal agent model to direct emergent global geometric properties like area coverage, line density, and front curvature in decentralized construction.

Receipt and verification

First computed	2026-06-23T01:12:06.963251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f0b9906d8bfa23eb5cd3fc0278bd732cdceabf572e67a94d31f811c5c636dd6

Aliases

arxiv: 2604.12057 · arxiv_version: 2604.12057v2 · doi: 10.48550/arxiv.2604.12057 · pith_short_12: H4FZSBWYX6RD · pith_short_16: H4FZSBWYX6RD5NON · pith_short_8: H4FZSBWY

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/H4FZSBWYX6RD5NONH7ACPC6XGL \
  | 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: 3f0b9906d8bfa23eb5cd3fc0278bd732cdceabf572e67a94d31f811c5c636dd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5117b28e8248636b15825b397c8da8307dcd62f40ffb82c0029acf236c56632",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2026-04-13T20:56:17Z",
    "title_canon_sha256": "d43e6e7c968e36482072f52c0787427c81beeb69d1b4f2716847b052c8d1695d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.12057",
    "kind": "arxiv",
    "version": 2
  }
}