Pith Number

pith:LRCPGASE

pith:2010:LRCPGASEAQV33YWMJMQFQMFFVT

not attested not anchored not stored refs pending

Two hard spheres in a pore: Exact Statistical Mechanics for different shaped cavities

Ignacio Urrutia

arxiv:1005.0723 v1 · 2010-05-05 · cond-mat.stat-mech · cond-mat.other · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LRCPGASEAQV33YWMJMQFQMFFVT}

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	2026-05-18T02:07:42.698054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c44f30244042bbde2cc4b205830a5acce8d6bb420ca055dbb5568854ac9daa9

Aliases

arxiv: 1005.0723 · arxiv_version: 1005.0723v1 · doi: 10.48550/arxiv.1005.0723 · pith_short_12: LRCPGASEAQV3 · pith_short_16: LRCPGASEAQV33YWM · pith_short_8: LRCPGASE

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/LRCPGASEAQV33YWMJMQFQMFFVT \
  | 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: 5c44f30244042bbde2cc4b205830a5acce8d6bb420ca055dbb5568854ac9daa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bc7e1b904eb94398be561446cd180b0c211516e3ef893146a0f1891a1d0f1c2",
    "cross_cats_sorted": [
      "cond-mat.other",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-05-05T11:54:49Z",
    "title_canon_sha256": "930cafe7bbe247709b3301b7c0392ad5b15fe662784fad81b4a4bf5b06e74bcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0723",
    "kind": "arxiv",
    "version": 1
  }
}