Pith Number

pith:WU2NF6F7

pith:2009:WU2NF6F7GDDQKG2UYZ33UVXC2E

not attested not anchored not stored refs pending

Nonlinear Stochastic Perturbations of Dynamical Systems and Quasi-linear Parabolic PDE's with a Small Parameter

L. Koralov, M. Freidlin

arxiv:0903.0428 v2 · 2009-03-03 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WU2NF6F7GDDQKG2UYZ33UVXC2E}

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	2026-05-18T03:52:12.766291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b534d2f8bf30c7051b54c677ba56e2d1397ab0dfe5ccc8f32536448bf3b1c79b

Aliases

arxiv: 0903.0428 · arxiv_version: 0903.0428v2 · doi: 10.48550/arxiv.0903.0428 · pith_short_12: WU2NF6F7GDDQ · pith_short_16: WU2NF6F7GDDQKG2U · pith_short_8: WU2NF6F7

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/WU2NF6F7GDDQKG2UYZ33UVXC2E \
  | 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: b534d2f8bf30c7051b54c677ba56e2d1397ab0dfe5ccc8f32536448bf3b1c79b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bac97fb9bb99ebf8276039cefcc6636a7557f77da7766a5eb07ef4cf7467810",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-03-03T02:40:39Z",
    "title_canon_sha256": "48825dfb4fc256f15a0096d836c98a7b79d1adca0898c34f17df0fae0485010f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.0428",
    "kind": "arxiv",
    "version": 2
  }
}