Pith Number

pith:6DXWLWNF

pith:2007:6DXWLWNF66ZUP26XIZRDW5SD73

not attested not anchored not stored refs pending

A Random Change of Variables and Applications to the Stochastic Porous Medium Equation with Multiplicative Time Noise

S. V. Lototsky

arxiv:0707.3155 v1 · 2007-07-20 · 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{6DXWLWNF66ZUP26XIZRDW5SD73}

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	2026-07-04T15:03:11.829583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0ef65d9a5f7b347ebd746623b7643fed608ee4f0c7ec25bfd5e400b0cea9be8

Aliases

arxiv: 0707.3155 · arxiv_version: 0707.3155v1 · doi: 10.48550/arxiv.0707.3155 · pith_short_12: 6DXWLWNF66ZU · pith_short_16: 6DXWLWNF66ZUP26X · pith_short_8: 6DXWLWNF

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/6DXWLWNF66ZUP26XIZRDW5SD73 \
  | 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: f0ef65d9a5f7b347ebd746623b7643fed608ee4f0c7ec25bfd5e400b0cea9be8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c57b74414bf7ef772a63a71ac8d76fcaf2e383ad1cb2b18c095e6af212e99f00",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-07-20T21:47:55Z",
    "title_canon_sha256": "86ca62ed97e372972e2210f4585d16cc2c647e4f0fefc77f2f18ceaa1c5a4ce5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.3155",
    "kind": "arxiv",
    "version": 1
  }
}