Pith Number

pith:4OKD77GQ

pith:2025:4OKD77GQPSPQWQ7W2AQMB74IHY

not attested not anchored not stored refs pending

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications

Filippo de Feo, Samy Mekkaoui

arxiv:2511.18636 v2 · 2025-11-23 · math.OC · 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{4OKD77GQPSPQWQ7W2AQMB74IHY}

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	2026-07-20T01:18:22.684686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3943ffcd07c9f0b43f6d020c0ff883e2dbd5229535dec8ee10acdbf19cc9814

Aliases

arxiv: 2511.18636 · arxiv_version: 2511.18636v2 · doi: 10.48550/arxiv.2511.18636 · pith_short_12: 4OKD77GQPSPQ · pith_short_16: 4OKD77GQPSPQWQ7W · pith_short_8: 4OKD77GQ

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/4OKD77GQPSPQWQ7W2AQMB74IHY \
  | 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: e3943ffcd07c9f0b43f6d020c0ff883e2dbd5229535dec8ee10acdbf19cc9814

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b040c2eff0250d27dcf1a10d3be6337d9c8454fc024d2ed6f1be115c7066df87",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-11-23T22:22:53Z",
    "title_canon_sha256": "07b260201e236e62bd0308c2f071874bcf50e7d409e7c9d7bd53021b26df6549"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.18636",
    "kind": "arxiv",
    "version": 2
  }
}