Pith Number

pith:2FWDHPWG

pith:2016:2FWDHPWGHWSTHZVKIG4PQW7RJ3

not attested not anchored not stored refs pending

Linear Quadratic Mean Field Game with Control Input Constraint

Huang Jianhui, Xun Li, Ying Hu (IRMAR)

arxiv:1610.05895 v1 · 2016-10-19 · 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{2FWDHPWGHWSTHZVKIG4PQW7RJ3}

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	2026-05-18T01:01:50.755779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d16c33bec63da533e6aa41b8f85bf14eebfbe76e9d200c1682ec6e80b67837c3

Aliases

arxiv: 1610.05895 · arxiv_version: 1610.05895v1 · doi: 10.48550/arxiv.1610.05895 · pith_short_12: 2FWDHPWGHWST · pith_short_16: 2FWDHPWGHWSTHZVK · pith_short_8: 2FWDHPWG

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/2FWDHPWGHWSTHZVKIG4PQW7RJ3 \
  | 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: d16c33bec63da533e6aa41b8f85bf14eebfbe76e9d200c1682ec6e80b67837c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5f8a0f40b4487150ccb4f76681e840d04b73b6e5f3c76e2e58c29422c5d21ec",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-10-19T07:40:56Z",
    "title_canon_sha256": "c5ec9d1ac30b332b62b66e1ad3b06f49f77338f385cb68632045359df7ade889"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05895",
    "kind": "arxiv",
    "version": 1
  }
}