Pith Number

pith:LFC5IGCU

pith:2011:LFC5IGCUDTYTO3GOYBYTI4ZZPU

not attested not anchored not stored refs pending

Geometric Ergodicity of a Hypoelliptic Diffusion Modelling The Melt-Spinning Process of Nonwoven Materials

Achim Wubker, Martin Kolb, Mladen Savov

arxiv:1112.6159 v1 · 2011-12-28 · math.PR · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LFC5IGCUDTYTO3GOYBYTI4ZZPU}

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	2026-05-18T04:05:36.622466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5945d418541cf1376ccec0713473397d0f77090ec38103ec0e21a0483839bec8

Aliases

arxiv: 1112.6159 · arxiv_version: 1112.6159v1 · doi: 10.48550/arxiv.1112.6159 · pith_short_12: LFC5IGCUDTYT · pith_short_16: LFC5IGCUDTYTO3GO · pith_short_8: LFC5IGCU

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/LFC5IGCUDTYTO3GOYBYTI4ZZPU \
  | 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: 5945d418541cf1376ccec0713473397d0f77090ec38103ec0e21a0483839bec8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6674e450a30c684ca8669d57a1d43ee1fd5fa48941f255106f249cabebe07752",
    "cross_cats_sorted": [
      "math.AP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-28T18:07:24Z",
    "title_canon_sha256": "3e1b3f25d232d590f1dfe128d2e9e27a02653e723eada54e959bd72620ce6f8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6159",
    "kind": "arxiv",
    "version": 1
  }
}