Pith Number

pith:JYNW5F6E

pith:2001:JYNW5F6ENTU3GZULI2N52ZEMHL

1 verified not anchored not stored refs pending

Effective forces in colloidal mixtures: from depletion attraction to accumulation repulsion

A.A. Louis, E. Allahyarov, H. Lowen, R.Roth

Effective forces between large colloids switch from attraction to repulsion as small-particle interactions change sign and strength.

arxiv:cond-mat/0110385 v2 · 2001-10-18 · cond-mat.soft · cond-mat.stat-mech

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\usepackage{pith}
\pithnumber{JYNW5F6ENTU3GZULI2N52ZEMHL}

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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

For repulsive big-small interactions the effective force follows the non-additive hard-core mapping; when both big-small and small-small attractions are present, increasing small-small attraction strength makes the effective potential more repulsive.

C2weakest assumption

The mapping onto an effective non-additive hard-core mixture remains quantitatively useful once a small-small attraction is added; the abstract states that the mapping trends are followed but does not quantify the error introduced by the attraction.

C3one line summary

Effective colloid-colloid forces switch from depletion attraction to accumulation repulsion or repulsion-through-attraction depending on the signs and strengths of the underlying big-small and small-small Yukawa interactions.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-07-04T16:26:25.689440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e1b6e97c46ce9b3668b469bdd648c3ad527a4bba2afc5d328073614d51d6b4c

Aliases

arxiv: cond-mat/0110385 · arxiv_version: cond-mat/0110385v2 · doi: 10.48550/arxiv.cond-mat/0110385 · pith_short_12: JYNW5F6ENTU3 · pith_short_16: JYNW5F6ENTU3GZUL · pith_short_8: JYNW5F6E

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/JYNW5F6ENTU3GZULI2N52ZEMHL \
  | 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: 4e1b6e97c46ce9b3668b469bdd648c3ad527a4bba2afc5d328073614d51d6b4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8227c13a1c718c950feb6fd5767fe8678369f5530fe8d80c987f030667aabafc",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2001-10-18T20:04:18Z",
    "title_canon_sha256": "462ab8325c1ecdde66cf642ef3b8504b8bd8a27db0146f44454417d603365a2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0110385",
    "kind": "arxiv",
    "version": 2
  }
}