Pith Number

pith:JZYXKVZO

pith:2026:JZYXKVZOMJ67CK37Z3XG3VFDL6

not attested not anchored not stored refs resolved

Length-scale selection in adaptive transport networks

Eleni Katifori, Geoffrey Vasil, Mia C. Morrell, Sidney Holden

A continuum model of adaptive transport networks reveals a finite-wavelength instability that selects channel spacing with a -1/4 power-law scaling.

arxiv:2605.16130 v1 · 2026-05-15 · nlin.AO

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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

Linearizing about a homogeneous conducting state, we identify a finite-wavelength instability with a -1/4 preferred wavelength scaling in the control parameter.

C2weakest assumption

The continuum evolution rule for the conductivity tensor field is assumed to be the correct minimal description whose linearization around the uniform state produces the observed finite-wavelength instability rather than other mechanisms such as energy minimization alone.

C3one line summary

A continuum formulation of adaptive transport networks identifies a finite-wavelength instability with -1/4 wavelength scaling that selects the intrinsic spatial scale of conducting structures.

References

44 extracted · 44 resolved · 1 Pith anchors

[1] Length-scale selection in adaptive transport networks 2026 · arXiv:2605.16130

[2] G. B. West, J. H. Brown, and B. J. Enquist, Science276, 122–126 (1997) 1997

[3] J. R. Banavar, A. Maritan, and A. Rinaldo, Nature399, 130 (1999) 1999

[4] C. D. Murray, Proceedings of the National Academy of Sciences12, 207–214 (1926) 1926

[5] K. A. McCulloh, J. S. Sperry, and F. R. Adler, Nature 421, 939 (2003) 2003

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

Length-scale selection in adaptive transport networks

Receipt and verification

First computed	2026-05-20T00:01:54.092403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e7175572e627df12b7fceee6dd4a35fbd9dcb5927e59d9e7c6331c84b633d6e

Aliases

arxiv: 2605.16130 · arxiv_version: 2605.16130v1 · doi: 10.48550/arxiv.2605.16130 · pith_short_12: JZYXKVZOMJ67 · pith_short_16: JZYXKVZOMJ67CK37 · pith_short_8: JZYXKVZO

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JZYXKVZOMJ67CK37Z3XG3VFDL6 \
  | 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: 4e7175572e627df12b7fceee6dd4a35fbd9dcb5927e59d9e7c6331c84b633d6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acd18d1f2ca75cbb76f51ea860ae8f1e3437fca86c78190c4e016243265c8552",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2026-05-15T16:14:30Z",
    "title_canon_sha256": "a82ab6d4545507f14653895a026a382b6a788e00938614fd4d84fde98e4d6a02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16130",
    "kind": "arxiv",
    "version": 1
  }
}