Pith Number

pith:JJBD5N7B

pith:2025:JJBD5N7B2ZC5XQMWNZHOQHLGA7

not attested not anchored not stored refs pending

Solving McKean-Vlasov Equation by deep learning particle method

Jingyuan Li, Wei Liu

arxiv:2501.00780 v1 · 2025-01-01 · 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{JJBD5N7B2ZC5XQMWNZHOQHLGA7}

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	2026-07-05T09:56:10.184054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a423eb7e1d645dbc1966e4ee81d6607deb2cf47c315bf5ec775e771e0eabe73

Aliases

arxiv: 2501.00780 · arxiv_version: 2501.00780v1 · doi: 10.48550/arxiv.2501.00780 · pith_short_12: JJBD5N7B2ZC5 · pith_short_16: JJBD5N7B2ZC5XQMW · pith_short_8: JJBD5N7B

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/JJBD5N7B2ZC5XQMWNZHOQHLGA7 \
  | 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: 4a423eb7e1d645dbc1966e4ee81d6607deb2cf47c315bf5ec775e771e0eabe73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ef11618b1bef62e79d6908aeb6c238d29ab53e121d84108d302dce014701071",
    "cross_cats_sorted": [
      "cs.NA",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-01-01T09:18:08Z",
    "title_canon_sha256": "08e4a415792a495ad7f6111bf5f6f8e36418c02d995f7d296de39a1e14b4b5e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.00780",
    "kind": "arxiv",
    "version": 1
  }
}