Pith Number

pith:KHZ6FXOW

pith:2020:KHZ6FXOWMYDDUZYEJDAUK6PXTY

not attested not anchored not stored refs pending

A Global Stochastic Maximum Principle for Forward-Backward Stochastic Control Systems with Quadratic Generators

Mingshang Hu, Rundong Xu, Shaolin Ji

arxiv:2010.10680 v2 · 2020-10-21 · 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{KHZ6FXOWMYDDUZYEJDAUK6PXTY}

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	2026-07-05T02:54:39.036169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51f3e2ddd666063a670448c14579f79e00f563f27b47536627228434654883a9

Aliases

arxiv: 2010.10680 · arxiv_version: 2010.10680v2 · doi: 10.48550/arxiv.2010.10680 · pith_short_12: KHZ6FXOWMYDD · pith_short_16: KHZ6FXOWMYDDUZYE · pith_short_8: KHZ6FXOW

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/KHZ6FXOWMYDDUZYEJDAUK6PXTY \
  | 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: 51f3e2ddd666063a670448c14579f79e00f563f27b47536627228434654883a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66d4693fa4faf38d530c41e3b7b41125088ede2e80d3f6bb8df78a08541e51a6",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-10-21T00:16:19Z",
    "title_canon_sha256": "37a60d2799266af63220c37c541e8313921be572557d54e0f04284e9675d040e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.10680",
    "kind": "arxiv",
    "version": 2
  }
}