Pith Number

pith:GUPZPK42

pith:2013:GUPZPK42RVYASYFEPCUHKG6MCJ

not attested not anchored not stored refs pending

Smoluchowski-Kramers Limit for a System Subject to a Mean-Field Drift

Astrid Hilbert, Haidar Al-Talibi, Vassili Kolokoltsov

arxiv:1303.0110 v1 · 2013-03-01 · 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{GUPZPK42RVYASYFEPCUHKG6MCJ}

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	2026-05-18T03:32:06.791688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

351f97ab9a8d700960a478a8751bcc127d81921ae362ce31f37cfaa88e7a7434

Aliases

arxiv: 1303.0110 · arxiv_version: 1303.0110v1 · doi: 10.48550/arxiv.1303.0110 · pith_short_12: GUPZPK42RVYA · pith_short_16: GUPZPK42RVYASYFE · pith_short_8: GUPZPK42

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/GUPZPK42RVYASYFEPCUHKG6MCJ \
  | 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: 351f97ab9a8d700960a478a8751bcc127d81921ae362ce31f37cfaa88e7a7434

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f36b4d00d171906e53731328d9a3b5b50919853b25ccbed6fde3b0dbb5ca8be2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-01T08:23:07Z",
    "title_canon_sha256": "913e969c04c0820ba16ee01802fa6f53c9af9d7ea3ef4ca749db6cf8b8cfd4ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0110",
    "kind": "arxiv",
    "version": 1
  }
}