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Pith Number

pith:7SGD6GZX

pith:2018:7SGD6GZXX2MLAXSP2NSTJT3GZI
1 verified not anchored not stored refs pending

Length segregation in mixtures of spherocylinders induced by imposed topological defects

Elshad Allahyarov, Hartmut L\"owen

Imposed topological defects on a sphere drive length segregation in binary mixtures of spherocylinders.

arxiv:1803.11511 v1 · 2018-03-30 · cond-mat.soft

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\pithnumber{7SGD6GZXX2MLAXSP2NSTJT3GZI}

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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

These topological defects induce a complex segregation picture also depending on the length ratio factor γ=L2/L1 and the total packing fraction η of the spherocylinders.

C2weakest assumption

That the externally imposed direction field and resulting defects dominate the observed segregation, rather than intrinsic packing or interaction details that might produce similar patterns even without defects.

C3one line summary

Imposed orientational defects on a spherical surface induce length segregation in spherocylinder mixtures, absent in flat defect-free geometries at the same parameters.

Formal links

1 machine-checked theorem link

Receipt and verification
First computed 2026-05-18T00:19:43.386751Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fc8c3f1b37be98b05e4fd36534cf66ca0ff55c883c4c6098c5ed6d349f881cc1

Aliases

arxiv: 1803.11511 · arxiv_version: 1803.11511v1 · doi: 10.48550/arxiv.1803.11511 · pith_short_12: 7SGD6GZXX2ML · pith_short_16: 7SGD6GZXX2MLAXSP · pith_short_8: 7SGD6GZX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7SGD6GZXX2MLAXSP2NSTJT3GZI \
  | 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: fc8c3f1b37be98b05e4fd36534cf66ca0ff55c883c4c6098c5ed6d349f881cc1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e201e2479240616907b4178cb9006e73440942825634d2fe1ebc829e54533994",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2018-03-30T15:25:21Z",
    "title_canon_sha256": "45029b1960ad482c75bcdf3896dd2be43629eb0af495cdd7e995faa1917cd395"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.11511",
    "kind": "arxiv",
    "version": 1
  }
}