Pith Number

pith:M62RAHHY

pith:2025:M62RAHHYQMGAK3AXNJ36DAPDHF

not attested not anchored not stored refs pending

The fluctuation behaviour of the stochastic point vortex model with common noise

Xianliang Zhao, Yufei Shao

arxiv:2501.06850 v1 · 2025-01-12 · 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{M62RAHHYQMGAK3AXNJ36DAPDHF}

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	2026-07-05T10:00:11.125491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67b5101cf8830c056c176a77e181e33958be89aa191215ec4418a42d880dcd92

Aliases

arxiv: 2501.06850 · arxiv_version: 2501.06850v1 · doi: 10.48550/arxiv.2501.06850 · pith_short_12: M62RAHHYQMGA · pith_short_16: M62RAHHYQMGAK3AX · pith_short_8: M62RAHHY

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/M62RAHHYQMGAK3AXNJ36DAPDHF \
  | 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: 67b5101cf8830c056c176a77e181e33958be89aa191215ec4418a42d880dcd92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68c75a29d040ee8a5dc95a8a4576d0f949b6c73353bf5efa8f9bb25052de2887",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-01-12T15:37:42Z",
    "title_canon_sha256": "d4c5706d118c790a1f98f31e40efbc9dabf61900ce42125cd7a6d19eaff83bf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.06850",
    "kind": "arxiv",
    "version": 1
  }
}