Pith Number

pith:GRII2QX6

pith:2019:GRII2QX6FUYWWKGRUECIEDVGJD

1 verified not anchored not stored refs pending

Crystallization seeds favour crystallization only during initial growth

Elshad Allahyarov, Hartmut L\"owen, Kirill Sandomirski, Stefan U. Egelhaaf

Crystallization seeds promote ordering only until a critical size, then detach and block nearby growth.

arxiv:1905.10727 v1 · 2019-05-26 · cond-mat.soft · physics.comp-ph

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\usepackage{pith}
\pithnumber{GRII2QX6FUYWWKGRUECIEDVGJD}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

✓ Author claim 1 verified · sign in to claim

Elshad Allahyarov orcid verified

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

The crystallite first grows on the seed but then, on reaching a critical size, detaches from the seed. The detached and relaxed crystallite continues to grow, except close to the seed, which now prevents crystallization.

C2weakest assumption

That elastic distortions induced by lattice mismatch are the dominant reason for detachment and that no other surface or hydrodynamic effects intervene in the colloidal system.

C3one line summary

Crystallization seeds promote initial growth but then detach from the crystallite and act as impurities that suppress further ordering.

Formal links

1 machine-checked theorem link

Receipt and verification

First computed	2026-05-17T23:45:05.431145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34508d42fe2d316b28d1a104820ea648f3dc517d03a543e4c1ad8e7aba228e5d

Aliases

arxiv: 1905.10727 · arxiv_version: 1905.10727v1 · doi: 10.48550/arxiv.1905.10727 · pith_short_12: GRII2QX6FUYW · pith_short_16: GRII2QX6FUYWWKGR · pith_short_8: GRII2QX6

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/GRII2QX6FUYWWKGRUECIEDVGJD \
  | 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: 34508d42fe2d316b28d1a104820ea648f3dc517d03a543e4c1ad8e7aba228e5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e521515f5031fc3acccfcf60b4c9b2e303a275ef1f42550e50748e2c4b765020",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2019-05-26T04:51:13Z",
    "title_canon_sha256": "871144b46114bb87fd339acbed99e430e7e7d9acdc05fafe2209a70d921852b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.10727",
    "kind": "arxiv",
    "version": 1
  }
}