Pith Number

pith:4VQN2TPR

pith:2002:4VQN2TPRLZZHSODVCJWKXDH5GJ

not attested not anchored not stored refs pending

Equation of state of a multicomponent d-dimensional hard-sphere fluid

A. Santos, M. Lopez de Haro, S. B. Yuste

arxiv:cond-mat/0204246 v1 · 2002-04-11 · cond-mat.stat-mech · cond-mat.soft

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VQN2TPRLZZHSODVCJWKXDH5GJ}

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

3 Author claim open · sign in to claim

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.

Receipt and verification

First computed	2026-05-17T23:45:24.548111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e560dd4df15e72793875126cab8cfd32402bcde9b9fe14e2c191f202e3e428a7

Aliases

arxiv: cond-mat/0204246 · arxiv_version: cond-mat/0204246v1 · doi: 10.48550/arxiv.cond-mat/0204246 · pith_short_12: 4VQN2TPRLZZH · pith_short_16: 4VQN2TPRLZZHSODV · pith_short_8: 4VQN2TPR

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/4VQN2TPRLZZHSODVCJWKXDH5GJ \
  | 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: e560dd4df15e72793875126cab8cfd32402bcde9b9fe14e2c191f202e3e428a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1a228af644f28d3fe27f96de11289f23bf7e62a091e46f5b9e813ab0c873aff",
    "cross_cats_sorted": [
      "cond-mat.soft"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2002-04-11T14:33:50Z",
    "title_canon_sha256": "f9617859e262bb59ea4d9917605e35abafdb34583cb637400299489d2e5540a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0204246",
    "kind": "arxiv",
    "version": 1
  }
}