Pith Number

pith:HQWWHCAB

pith:2013:HQWWHCABLXVPZZWH2UFRRU2UFM

not attested not anchored not stored refs pending

Linear-Quadratic Optimal Control Problems for Mean-Field Stochastic Differential Equations --- Time-Consistent Solutions

Jiongmin Yong

arxiv:1304.3964 v2 · 2013-04-15 · 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{HQWWHCABLXVPZZWH2UFRRU2UFM}

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	2026-05-18T03:26:31.781812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c2d6388015deafce6c7d50b18d3542b14da54fbb9e8a123ce367215cb246f04

Aliases

arxiv: 1304.3964 · arxiv_version: 1304.3964v2 · doi: 10.48550/arxiv.1304.3964 · pith_short_12: HQWWHCABLXVP · pith_short_16: HQWWHCABLXVPZZWH · pith_short_8: HQWWHCAB

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/HQWWHCABLXVPZZWH2UFRRU2UFM \
  | 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: 3c2d6388015deafce6c7d50b18d3542b14da54fbb9e8a123ce367215cb246f04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e7fadd891ea8a6b25c9fe1aac4fcb52fdf91a919bb001aef4dab92ede4a5d19",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-04-15T01:22:55Z",
    "title_canon_sha256": "40412aa5dd60a921114b044e08d4a067f6e544e3c02cb834891bb99f08acc793"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3964",
    "kind": "arxiv",
    "version": 2
  }
}