Pith Number

pith:YODUSQ7D

pith:2018:YODUSQ7DNYIA47LAJVAR4ES7IY

not attested not anchored not stored refs pending

Mean Field Control and Mean Field Game Models with Several Populations

Alain Bensoussan, Mathieu Lauri\`ere, Tao Huang

arxiv:1810.00783 v2 · 2018-10-01 · 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{YODUSQ7DNYIA47LAJVAR4ES7IY}

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

Turnpike properties in linear quadratic Gaussian N-player differential games

Receipt and verification

First computed	2026-05-18T00:02:08.982583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3874943e36e100e7d604d411e125f462c517b0dd5146b62205c3a1b819c100a

Aliases

arxiv: 1810.00783 · arxiv_version: 1810.00783v2 · doi: 10.48550/arxiv.1810.00783 · pith_short_12: YODUSQ7DNYIA · pith_short_16: YODUSQ7DNYIA47LA · pith_short_8: YODUSQ7D

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/YODUSQ7DNYIA47LAJVAR4ES7IY \
  | 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: c3874943e36e100e7d604d411e125f462c517b0dd5146b62205c3a1b819c100a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb2e3e517809fa0dcf2b34c28cd2feb116834d5deafb7a484027bbbc16b446a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-10-01T16:04:22Z",
    "title_canon_sha256": "9ab7c1d1b99a2c080af2174b9a100d6948ba988fa47f80f16c4e44bffbe48e43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.00783",
    "kind": "arxiv",
    "version": 2
  }
}