Pith Number

pith:4DIS6YQQ

pith:2014:4DIS6YQQ6ME2X7YICC44RMTRZ7

not attested not anchored not stored refs pending

The Boltzmann-Grad Limit of a Hard Sphere System: Analysis of the Correlation Error

Mario Pulvirenti, Sergio Simonella

arxiv:1405.4676 v2 · 2014-05-19 · math-ph · cond-mat.stat-mech · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4DIS6YQQ6ME2X7YICC44RMTRZ7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:56:46.964698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0d12f6210f309abff0810b9c8b271cffa8814b83f0885117ebb864e818114c8

Aliases

arxiv: 1405.4676 · arxiv_version: 1405.4676v2 · doi: 10.48550/arxiv.1405.4676 · pith_short_12: 4DIS6YQQ6ME2 · pith_short_16: 4DIS6YQQ6ME2X7YI · pith_short_8: 4DIS6YQQ

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/4DIS6YQQ6ME2X7YICC44RMTRZ7 \
  | 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: e0d12f6210f309abff0810b9c8b271cffa8814b83f0885117ebb864e818114c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84b576b0f7b1a37a57d07986b933ce25878a1a1da8262bf25ce5406a9ec3f436",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-05-19T11:05:53Z",
    "title_canon_sha256": "5e3e300dd59bcc899de173b14ad38a61f84c6b4fc335ae1c2b3111f49ff8f495"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4676",
    "kind": "arxiv",
    "version": 2
  }
}