Pith Number

pith:UCDEDMDT

pith:2010:UCDEDMDTJC5FOIXVKZDL2T2G3I

not attested not anchored not stored refs pending

On the relation between virial coefficients and the close-packing of hard disks and hard spheres

Andr\'es Santos, Mariano L\'opez de Haro, Miguel \'Angel G. Maestre, Miguel Robles

arxiv:1012.4920 v2 · 2010-12-22 · cond-mat.stat-mech · cond-mat.soft · physics.chem-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UCDEDMDTJC5FOIXVKZDL2T2G3I}

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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	2026-05-18T04:27:58.648162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a08641b07348ba5722f55646bd4f46da3ce1511117264d35cfa70e70fbca74af

Aliases

arxiv: 1012.4920 · arxiv_version: 1012.4920v2 · doi: 10.48550/arxiv.1012.4920 · pith_short_12: UCDEDMDTJC5F · pith_short_16: UCDEDMDTJC5FOIXV · pith_short_8: UCDEDMDT

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/UCDEDMDTJC5FOIXVKZDL2T2G3I \
  | 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: a08641b07348ba5722f55646bd4f46da3ce1511117264d35cfa70e70fbca74af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18abf1f6cdd617ef99fc7c0253c746f8ee274468401784b63ceb9bfc38e563ca",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-12-22T10:00:08Z",
    "title_canon_sha256": "26a96991d31f4f2041f2e2ac254a5c0a02b199c9b236998d082d32ebc031fbd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4920",
    "kind": "arxiv",
    "version": 2
  }
}