Pith Number

pith:W7YNIV7W

pith:2024:W7YNIV7WXD6F4IO2DKPIA3IL5O

not attested not anchored not stored refs pending

Uniform measure attractors of McKean-Vlasov stochastic reaction-diffusion equations on unbounded thin domain

Dingshi Li, Ran Li, Tianhao Zeng

arxiv:2412.19428 v1 · 2024-12-27 · math.PR · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W7YNIV7WXD6F4IO2DKPIA3IL5O}

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	2026-07-05T09:54:35.463822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7f0d457f6b8fc5e21da1a9e806d0bebaa871420bd99a8ef7b2fce3bc164e436

Aliases

arxiv: 2412.19428 · arxiv_version: 2412.19428v1 · doi: 10.48550/arxiv.2412.19428 · pith_short_12: W7YNIV7WXD6F · pith_short_16: W7YNIV7WXD6F4IO2 · pith_short_8: W7YNIV7W

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/W7YNIV7WXD6F4IO2DKPIA3IL5O \
  | 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: b7f0d457f6b8fc5e21da1a9e806d0bebaa871420bd99a8ef7b2fce3bc164e436

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5529b70e638593617d2e4a489674101d8ad563d89d14628fa095123cb0ce390d",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-12-27T03:46:15Z",
    "title_canon_sha256": "fe07ca450a90c308095390e986695504b19162829e786642c2529716a86013bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.19428",
    "kind": "arxiv",
    "version": 1
  }
}