Pith Number

pith:NQT4B4UQ

pith:2012:NQT4B4UQFTH6BN55UV3R7QOLIE

not attested not anchored not stored refs pending

Necessary Condition for Near Optimal Control of Linear Forward-backward Stochastic Differential Equations

Jianhui Huang, Liangquan Zhang, Xun Li

arxiv:1203.1774 v5 · 2012-03-08 · 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{NQT4B4UQFTH6BN55UV3R7QOLIE}

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	2026-05-18T02:28:55.480784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c27c0f2902ccfe0b7bda5771fc1cb410e0892bd0c7d96bc93401f242c759159

Aliases

arxiv: 1203.1774 · arxiv_version: 1203.1774v5 · doi: 10.48550/arxiv.1203.1774 · pith_short_12: NQT4B4UQFTH6 · pith_short_16: NQT4B4UQFTH6BN55 · pith_short_8: NQT4B4UQ

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/NQT4B4UQFTH6BN55UV3R7QOLIE \
  | 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: 6c27c0f2902ccfe0b7bda5771fc1cb410e0892bd0c7d96bc93401f242c759159

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fe925d7151acb3e8a6f2baadc4bcc2a2a290ede7759ac582598b06b76e9cc9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-03-08T12:34:57Z",
    "title_canon_sha256": "31edbc61e3e8e3914dafd11c180b98e23194b5b90a1f3c6515310204abb7fc67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1774",
    "kind": "arxiv",
    "version": 5
  }
}