Pith Number

pith:AG25TAMI

pith:2026:AG25TAMIFUN2ANIIO4CQJ2BGMM

not attested not anchored not stored refs pending

Theory of post-jamming rigidity in feedback-regulated cellular packings

Pawel Gniewek

Budding-cell packings jam while some buds remain mechanically free, so post-jamming rigidity is set by pressure and the unconstrained fraction.

arxiv:2604.08942 v2 · 2026-04-10 · cond-mat.soft · physics.bio-ph

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\pithnumber{AG25TAMIFUN2ANIIO4CQJ2BGMM}

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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

A modified Maxwell count gives the post-jamming coordination, a depletion law for the unconstrained buds predicts the crossover density φ₂ at which that reservoir is exhausted, and a flux-partition argument explains why strong growth feedback can markedly increase rigidity while generating little internal pressure.

C2weakest assumption

The mean-field approximations underlying the modified Maxwell count, the depletion law, and the flux-partition argument remain valid for the disordered, feedback-regulated budding-cell geometry.

C3one line summary

Mean-field theory for post-jamming budding-cell packings uses modified Maxwell count, depletion law for unconstrained buds, and flux-partition argument to link growth feedback to increased rigidity at low pressure.

Receipt and verification

First computed	2026-05-26T01:03:29.596292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01b5d981882d1ba03508770504e82663125db0ed50cf25b4490665a2fb38ad96

Aliases

arxiv: 2604.08942 · arxiv_version: 2604.08942v2 · doi: 10.48550/arxiv.2604.08942 · pith_short_12: AG25TAMIFUN2 · pith_short_16: AG25TAMIFUN2ANII · pith_short_8: AG25TAMI

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AG25TAMIFUN2ANIIO4CQJ2BGMM \
  | 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: 01b5d981882d1ba03508770504e82663125db0ed50cf25b4490665a2fb38ad96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "917053e263681e66f8111419d23d2b149079313d86671a5eda49729605f59ef8",
    "cross_cats_sorted": [
      "physics.bio-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2026-04-10T04:22:36Z",
    "title_canon_sha256": "803893e20b78f5457e6fb0765c0ffb4fd0da518c3a8c3de4c91bb8579e9a5681"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.08942",
    "kind": "arxiv",
    "version": 2
  }
}