Pith Number

pith:VXYNKCEW

pith:2002:VXYNKCEW36KPNSFVYSCM2T7VUF

1 verified not anchored not stored refs pending

Non-monotonic variation with salt concentration of the second virial coefficient in protein solutions

A.A. Louis, E. Allahyarov, H. L\"owen, J.P. Hansen

Discrete charges on a protein surface produce a non-monotonic second virial coefficient that first falls, then rises, then falls again with added salt.

arxiv:cond-mat/0205551 v1 · 2002-05-27 · cond-mat.soft · cond-mat.stat-mech · q-bio

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VXYNKCEW36KPNSFVYSCM2T7VUF}

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

✓ 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 parameters roughly corresponding to lysozyme, B2 first decreases with added salt up to a threshold concentration, then increases to a maximum, and then decreases again upon further raising the ionic strength.

C2weakest assumption

The primitive-model representation with a fixed discrete charge pattern on a spherical protein of lysozyme size and charge density is sufficient to capture the dominant physics governing B2 at the salt concentrations examined.

C3one line summary

Primitive-model simulations with discrete protein charges produce a non-monotonic B2 versus added salt that DLVO theory misses.

Formal links

1 machine-checked theorem link

Receipt and verification

First computed	2026-07-04T16:32:17.792435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adf0d50896df94f6c8b5c484cd4ff5a17f00f5185b3f300de138b888ea417ac5

Aliases

arxiv: cond-mat/0205551 · arxiv_version: cond-mat/0205551v1 · doi: 10.48550/arxiv.cond-mat/0205551 · pith_short_12: VXYNKCEW36KP · pith_short_16: VXYNKCEW36KPNSFV · pith_short_8: VXYNKCEW

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/VXYNKCEW36KPNSFVYSCM2T7VUF \
  | 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: adf0d50896df94f6c8b5c484cd4ff5a17f00f5185b3f300de138b888ea417ac5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39e61e089577f6150c301c73a450bdbc6a19cc01546ab2eac9b3d1d230504737",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "q-bio"
    ],
    "license": "",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2002-05-27T11:05:20Z",
    "title_canon_sha256": "899cbe096d1248c8e7a1bbcc92742d448660c70cc0d1e3f5be43327086e30d8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0205551",
    "kind": "arxiv",
    "version": 1
  }
}