Pith Number

pith:QO5X6GYV

pith:2023:QO5X6GYV4DI5L74SMVL3M45XQK

not attested not anchored not stored refs pending

Mean-field control problems with multi-dimensional singular controls

Robert Denkert, Ulrich Horst

arxiv:2308.04378 v2 · 2023-08-08 · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QO5X6GYV4DI5L74SMVL3M45XQK}

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.

Cited by

1 paper in Pith

Constrained mean-field control with singular controls: Existence, stochastic maximum principle and constrained FBSDE

Receipt and verification

First computed	2026-07-05T12:11:11.836967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83bb7f1b15e0d1d5ff926557b673b7829561460bfe3cfd694097b6b6ac80741d

Aliases

arxiv: 2308.04378 · arxiv_version: 2308.04378v2 · doi: 10.48550/arxiv.2308.04378 · pith_short_12: QO5X6GYV4DI5 · pith_short_16: QO5X6GYV4DI5L74S · pith_short_8: QO5X6GYV

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/QO5X6GYV4DI5L74SMVL3M45XQK \
  | 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: 83bb7f1b15e0d1d5ff926557b673b7829561460bfe3cfd694097b6b6ac80741d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3148fe40b025fdb098312329cca718590dbc90bdc2df6c7333e576e93c68241",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2023-08-08T16:30:02Z",
    "title_canon_sha256": "b19a6ccd2854c2aec0b513c35e5544627f7ee2cb61c2c25c6ff9610998f0e32c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.04378",
    "kind": "arxiv",
    "version": 2
  }
}