Pith Number

pith:JKYGKHQR

pith:2005:JKYGKHQRVZXX5EXKBHMSHV3ERQ

not attested not anchored not stored refs pending

Stationary Solutions of Stochastic Differential Equation with Memory and Stochastic Partial Differential Equations

Jonathan C. Mattingly, Yuri Bakhtin

arxiv:math/0509166 v1 · 2005-09-07 · math.PR · math-ph · math.CA · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JKYGKHQRVZXX5EXKBHMSHV3ERQ}

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	2026-05-18T01:05:23.191754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ab0651e11ae6f7e92ea09d923d7648c2afb74097d92eac6d80fc57df58f6581

Aliases

arxiv: math/0509166 · arxiv_version: math/0509166v1 · doi: 10.48550/arxiv.math/0509166 · pith_short_12: JKYGKHQRVZXX · pith_short_16: JKYGKHQRVZXX5EXK · pith_short_8: JKYGKHQR

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/JKYGKHQRVZXX5EXKBHMSHV3ERQ \
  | 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: 4ab0651e11ae6f7e92ea09d923d7648c2afb74097d92eac6d80fc57df58f6581

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d8e1421326df597e44fd8a52f65e17fd1fc122e380305b2ca1f1d780ea0f533",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.DS",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-09-07T21:08:31Z",
    "title_canon_sha256": "e9a8b2c61971947b3789de559b55d1d557bc893b27bcc80594abd32a54dbf9af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509166",
    "kind": "arxiv",
    "version": 1
  }
}