Pith Number

pith:4QHB7SWN

pith:2014:4QHB7SWNY4GXDOAPCV3JRBPVVR

not attested not anchored not stored refs pending

Pointwise second-order necessary conditions for stochastic optimal controls, Part I: The case of convex control constraint

Haisen Zhang, Xu Zhang

arxiv:1409.2783 v1 · 2014-09-09 · 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{4QHB7SWNY4GXDOAPCV3JRBPVVR}

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	2026-05-18T02:43:09.802690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e40e1fcacdc70d71b80f15769885f5ac65e12de7bc631e557675c9785d625352

Aliases

arxiv: 1409.2783 · arxiv_version: 1409.2783v1 · doi: 10.48550/arxiv.1409.2783 · pith_short_12: 4QHB7SWNY4GX · pith_short_16: 4QHB7SWNY4GXDOAP · pith_short_8: 4QHB7SWN

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/4QHB7SWNY4GXDOAPCV3JRBPVVR \
  | 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: e40e1fcacdc70d71b80f15769885f5ac65e12de7bc631e557675c9785d625352

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f40b2c0d96ee65ff63493354f802e8b27335bd23522eb619df92a68946d814dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-09-09T15:42:33Z",
    "title_canon_sha256": "f27bec9706f06b49438dea89d3522275e7e3e051fa0befed978d9d41c6a9fb30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2783",
    "kind": "arxiv",
    "version": 1
  }
}