Pith Number

pith:AUI7UPGG

pith:2026:AUI7UPGGED5NORPPMFMSAPW3K3

not attested not anchored not stored refs resolved

High-symmetry ill-fitting subunits in 3D form aggregates of all dimensions

Elena N. Govorun, Martin Lenz

Ill-fitting deformable subunits in three dimensions self-assemble into clusters, filaments, layers or bulks depending on adhesivity and elasticity.

arxiv:2604.01109 v3 · 2026-04-01 · cond-mat.soft

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AUI7UPGGED5NORPPMFMSAPW3K3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

We find that zero-dimensional clusters, three-dimensional bulks as well as symmetry-broken one-dimensional filaments and two-dimensional layers can all form depending on assembly parameters. Poorly compressible, moderately adhesive subunits favor filaments.

C2weakest assumption

The mechanics of the self-assembling subunits can be mapped onto those of two incompatible, interconnected networks to analytically predict ground state morphologies as a function of adhesivity and elasticity.

C3one line summary

Ill-fitting 3D deformable subunits self-assemble into clusters, filaments, layers or bulks, with filaments favored by poorly compressible moderately adhesive subunits.

References

50 extracted · 50 resolved · 0 Pith anchors

[1] I. Mizrahi, R. B ruinsma and J. Rudnick, Spanning tree model and the assembly kinetics of RNA viruses, Phys. Rev. E, 2022, 106, 044405 2022

[2] L. E. Perotti, A. Aggarwal, J. Rudnick, R. Bruinsma, and W. S. Klug, Elasticity theory of the maturation of viral capsids, J. Mech. Phys. Solids, 2015, 77, 86 2015

[3] J. D. Perlmutter and M. F. Hagan, Mechanisms of Virus Assembly, Annu. Rev. Phys. Chem. 2015, 66, 217 2015

[4] R. F. Bruinsma and W. S. Klug, Physics of viral shells, Annu. Rev. Condens. Matter Phys. , 2015, 6, 245 2015

[5] P. Alam, L. Bousset, R. Melki, and D. E. Otzen, α -synuclein oligomers and fibrils: a spectrum of species, a spectrum of toxicities, J. Neurochem., 2019, 150, 522 2019

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:01:40.732674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0511fa3cc620fad745ef6159203edb56dced22fc47031fc86a3f570c56d7158d

Aliases

arxiv: 2604.01109 · arxiv_version: 2604.01109v3 · doi: 10.48550/arxiv.2604.01109 · pith_short_12: AUI7UPGGED5N · pith_short_16: AUI7UPGGED5NORPP · pith_short_8: AUI7UPGG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AUI7UPGGED5NORPPMFMSAPW3K3 \
  | 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: 0511fa3cc620fad745ef6159203edb56dced22fc47031fc86a3f570c56d7158d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db3273c0f0b37e685aab1e55f5fb746cbb4034b24fb59f1efe6df484d63076e0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2026-04-01T16:34:53Z",
    "title_canon_sha256": "44d87052ad7aeada28f135b2151e99d398547b376995c3cc0dac8cfc1fb784fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.01109",
    "kind": "arxiv",
    "version": 3
  }
}