Pith Number

pith:5JJNBIFF

pith:2011:5JJNBIFFMPLL2UW3G6KZGFGNUC

not attested not anchored not stored refs pending

Mean-Field Approximation for Spacing Distribution Functions in Classical Systems

Alberto Pimpinelli, Diego Luis Gonz\'alez, T. L. Einstein

arxiv:1111.5212 v1 · 2011-11-22 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5JJNBIFFMPLL2UW3G6KZGFGNUC}

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	2026-05-18T02:29:45.880414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea52d0a0a563d6bd52db37959314cda09954afbc60bed7934bbb3d731910e4d2

Aliases

arxiv: 1111.5212 · arxiv_version: 1111.5212v1 · doi: 10.48550/arxiv.1111.5212 · pith_short_12: 5JJNBIFFMPLL · pith_short_16: 5JJNBIFFMPLL2UW3 · pith_short_8: 5JJNBIFF

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/5JJNBIFFMPLL2UW3G6KZGFGNUC \
  | 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: ea52d0a0a563d6bd52db37959314cda09954afbc60bed7934bbb3d731910e4d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e24f5b628fa0a5a54ac8f1045bc93e3ebee664ca6415320a5a0f0a9df4c2517f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-11-22T15:05:23Z",
    "title_canon_sha256": "e5106eca21247bb8b16ea417f68772abe99bf9ac025be8d061adbe7fd70548cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5212",
    "kind": "arxiv",
    "version": 1
  }
}