Pith Number

pith:X7AL72KN

pith:2004:X7AL72KNJWRNVSS2XZ276OPJZ4

not attested not anchored not stored refs pending

Asymptotic analysis of a particle system with mean-field interaction

A. Manita, V. Shcherbakov

arxiv:math/0408372 v2 · 2004-08-26 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X7AL72KNJWRNVSS2XZ276OPJZ4}

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	2026-05-18T04:10:23.991679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfc0bfe94d4da2daca5abe75ff39e9cf3ea7bb1897013b367b9579ab17983477

Aliases

arxiv: math/0408372 · arxiv_version: math/0408372v2 · doi: 10.48550/arxiv.math/0408372 · pith_short_12: X7AL72KNJWRN · pith_short_16: X7AL72KNJWRNVSS2 · pith_short_8: X7AL72KN

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/X7AL72KNJWRNVSS2XZ276OPJZ4 \
  | 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: bfc0bfe94d4da2daca5abe75ff39e9cf3ea7bb1897013b367b9579ab17983477

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c390c17eaa07512cf1644f700966933f4062e398220e9377d42a92294ac241f7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-08-26T13:59:59Z",
    "title_canon_sha256": "2218d1b50ff6c4caa8492405c30c6ae40d704d624862d05e13674be13995b9ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0408372",
    "kind": "arxiv",
    "version": 2
  }
}