Pith Number

pith:4EMQRF5D

pith:2022:4EMQRF5DN6PYMQEPOPKXHH4GXG

not attested not anchored not stored refs pending

Particle method and quantization-based schemes for the simulation of the McKean-Vlasov equation

Yating Liu

arxiv:2212.14853 v2 · 2022-12-30 · math.NA · cs.NA · math.PR

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4EMQRF5DN6PYMQEPOPKXHH4GXG}

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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

Solving McKean-Vlasov Equation by deep learning particle method

Receipt and verification

First computed	2026-07-05T08:19:33.720611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1190897a36f9f86408f73d5739f86b98d4568e79aefca378c1ee44ca4278375

Aliases

arxiv: 2212.14853 · arxiv_version: 2212.14853v2 · doi: 10.48550/arxiv.2212.14853 · pith_short_12: 4EMQRF5DN6PY · pith_short_16: 4EMQRF5DN6PYMQEP · pith_short_8: 4EMQRF5D

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/4EMQRF5DN6PYMQEPOPKXHH4GXG \
  | 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: e1190897a36f9f86408f73d5739f86b98d4568e79aefca378c1ee44ca4278375

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6101771afe4a3a3e076fb8930adeebaf125bebd74b37331a8333cfa797675651",
    "cross_cats_sorted": [
      "cs.NA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-12-30T18:00:49Z",
    "title_canon_sha256": "aa6417f6b179e2936318b8b5039f3005a8d2ca8df44d90d86a6516edabf8c79f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.14853",
    "kind": "arxiv",
    "version": 2
  }
}