Pith Number

pith:SSVUM47X

pith:2026:SSVUM47XVCBLXZZZFQXDJJ3GFO

not attested not anchored not stored refs pending

Robust mean field control: an application to optimal execution under composite uncertainty

Chenchen Mou, Defeng Sun, Huafu Liao, Shuhui Liu

arxiv:2607.29514 v1 · 2026-07-31 · 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{SSVUM47XVCBLXZZZFQXDJJ3GFO}

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	2026-08-03T01:36:57.151101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94ab4673f7a882bbe7392c2e34a7662bb3f5123310e476b4971a0cb3b1656f24

Aliases

arxiv: 2607.29514 · arxiv_version: 2607.29514v1 · doi: 10.48550/arxiv.2607.29514 · pith_short_12: SSVUM47XVCBL · pith_short_16: SSVUM47XVCBLXZZZ · pith_short_8: SSVUM47X

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/SSVUM47XVCBLXZZZFQXDJJ3GFO \
  | 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: 94ab4673f7a882bbe7392c2e34a7662bb3f5123310e476b4971a0cb3b1656f24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2f76d0a159cb3cc481d37ce7293f065292bcc072e649fad127436d886f34dc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-31T15:15:06Z",
    "title_canon_sha256": "aef50cb7cded1b661f33af19890f7891cd54dd2ab98edbf06ef9c62265026833"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.29514",
    "kind": "arxiv",
    "version": 1
  }
}