Pith Number

pith:FPXT6TFN

pith:2026:FPXT6TFN4OV3Y3RXPB42KY35E2

not attested not anchored not stored refs pending

A criterion for the well-posedness of McKean-Vlasov stochastic differential equations

Zhenxin Liu, Ziting Liu

arxiv:2607.28078 v1 · 2026-07-30 · 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{FPXT6TFN4OV3Y3RXPB42KY35E2}

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	2026-07-31T01:35:34.288665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

2bef3f4cade3abbc6e377879a5637d2690f4775c7272c21a1772366b8c51c43b

Aliases

arxiv: 2607.28078 · arxiv_version: 2607.28078v1 · doi: 10.48550/arxiv.2607.28078 · pith_short_12: FPXT6TFN4OV3 · pith_short_16: FPXT6TFN4OV3Y3RX · pith_short_8: FPXT6TFN

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/FPXT6TFN4OV3Y3RXPB42KY35E2 \
  | 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: 2bef3f4cade3abbc6e377879a5637d2690f4775c7272c21a1772366b8c51c43b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e09b2a935740f1961f471ff79ab122281d5ad238671345cbc78ae93c7f3b2489",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-30T11:50:49Z",
    "title_canon_sha256": "2c906f9ed5d8ea76d2246761c8510ce8270bf531c7c1820dab2e8692ea051f27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28078",
    "kind": "arxiv",
    "version": 1
  }
}