Pith Number

pith:WDGO4LX6

pith:2026:WDGO4LX6BIIYLKZHILDQOYJMNM

not attested not anchored not stored refs pending

Averaging principles for nonautonomous multiscale McKean-Vlasov stochastic systems

Huijie Qiao, Jie Xiang

arxiv:2606.12820 v1 · 2026-06-11 · 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{WDGO4LX6BIIYLKZHILDQOYJMNM}

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	2026-06-12T01:08:52.675392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0ccee2efe0a1185ab2742c707612c6b2d8e28622c16c5959980d85b94790484

Aliases

arxiv: 2606.12820 · arxiv_version: 2606.12820v1 · doi: 10.48550/arxiv.2606.12820 · pith_short_12: WDGO4LX6BIIY · pith_short_16: WDGO4LX6BIIYLKZH · pith_short_8: WDGO4LX6

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/WDGO4LX6BIIYLKZHILDQOYJMNM \
  | 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: b0ccee2efe0a1185ab2742c707612c6b2d8e28622c16c5959980d85b94790484

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a81013d91af1a7e67119ec496b5d2819e9276ea0b077d5f8b13193274173c8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-11T02:34:08Z",
    "title_canon_sha256": "4042511975cbc7cd1979ab669993d3575e521bcd8f29a2c6cb1f233f18a6aa8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12820",
    "kind": "arxiv",
    "version": 1
  }
}