Pith Number

pith:DQLAVAMC

pith:2025:DQLAVAMCK5XTJZJLZOBCIU4JAC

not attested not anchored not stored refs pending

Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations

Johan Benedikt Spille, Wilhelm Stannat

arxiv:2507.16288 v2 · 2025-07-22 · math.PR · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DQLAVAMCK5XTJZJLZOBCIU4JAC}

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	2026-07-05T11:52:03.178705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c160a8182576f34e52bcb82245389008b47bff3f8da60364b8573dd027cf754

Aliases

arxiv: 2507.16288 · arxiv_version: 2507.16288v2 · doi: 10.48550/arxiv.2507.16288 · pith_short_12: DQLAVAMCK5XT · pith_short_16: DQLAVAMCK5XTJZJL · pith_short_8: DQLAVAMC

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/DQLAVAMCK5XTJZJLZOBCIU4JAC \
  | 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: 1c160a8182576f34e52bcb82245389008b47bff3f8da60364b8573dd027cf754

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "261396a98bc3ef71f036d715df84a23ddfaaacc4fb66ee616af9585d6650f8b6",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-07-22T07:17:28Z",
    "title_canon_sha256": "352f559e52404702c737ada3e3d9d86dbc4b46a34578eabcbe24ee3983650769"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16288",
    "kind": "arxiv",
    "version": 2
  }
}