Pith Number

pith:5O4EQJZO

pith:2021:5O4EQJZOLTYONCVP3FKRCFHSVK

not attested not anchored not stored refs pending

Computing eigenfunctions of the multidimensional Ornstein-Uhlenbeck operator

Benjamin J. Zhang, Tuhin Sahai, Youssef M. Marzouk

arxiv:2110.09229 v1 · 2021-10-07 · math.NA · cs.NA · 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{5O4EQJZOLTYONCVP3FKRCFHSVK}

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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.

Cited by

1 paper in Pith

$Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators

Receipt and verification

First computed	2026-07-05T03:23:25.808451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebb848272e5cf0e68aafd9551114f2aabedde1d415cb9819dad35241d293eb5e

Aliases

arxiv: 2110.09229 · arxiv_version: 2110.09229v1 · doi: 10.48550/arxiv.2110.09229 · pith_short_12: 5O4EQJZOLTYO · pith_short_16: 5O4EQJZOLTYONCVP · pith_short_8: 5O4EQJZO

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/5O4EQJZOLTYONCVP3FKRCFHSVK \
  | 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: ebb848272e5cf0e68aafd9551114f2aabedde1d415cb9819dad35241d293eb5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c53f2a8ca442eb71e76d907ef3fcda8aff131b2ec0435e06e0805ba3f0dc365",
    "cross_cats_sorted": [
      "cs.NA",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-10-07T20:29:57Z",
    "title_canon_sha256": "714b601ce17f11a4ed5db4dd8da36ff67be2c4d6464e77eea905f36029e725a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.09229",
    "kind": "arxiv",
    "version": 1
  }
}