Pith Number

pith:QWFQI6DB

pith:2020:QWFQI6DBSPLWRUU3FYSDWNY4WW

not attested not anchored not stored refs pending

A Stochastic Maximum Principle for Forward-backward Stochastic Control Systems with Quadratic Generators and Sample-wise Constraints

Rundong Xu, Shaolin Ji

arxiv:2010.16065 v4 · 2020-10-29 · 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{QWFQI6DBSPLWRUU3FYSDWNY4WW}

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	2026-07-05T06:42:54.274341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

858b04786193d768d29b2e243b371cb58d9e54c35cfe6256043b9192898f791c

Aliases

arxiv: 2010.16065 · arxiv_version: 2010.16065v4 · doi: 10.48550/arxiv.2010.16065 · pith_short_12: QWFQI6DBSPLW · pith_short_16: QWFQI6DBSPLWRUU3 · pith_short_8: QWFQI6DB

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/QWFQI6DBSPLWRUU3FYSDWNY4WW \
  | 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: 858b04786193d768d29b2e243b371cb58d9e54c35cfe6256043b9192898f791c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f1b631d32a8a0c8219154c6d9f2abc77808b4c388a783af12e05b14d9ec36c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-10-29T07:40:13Z",
    "title_canon_sha256": "736e91e9f6a9e6a08656497c191d5998138b773e8913ebe900944da18075d632"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.16065",
    "kind": "arxiv",
    "version": 4
  }
}