Pith Number

pith:NKSYV2YQ

pith:2017:NKSYV2YQGIYMLSELWGM4GTHBLU

not attested not anchored not stored refs pending

Stochastic Evolution Equation Driven by Teugels Martingale and Its Optimal Control

Maoning Tang, Qingxin Meng, Qiuhong Shi

arxiv:1707.08889 v1 · 2017-07-26 · 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{NKSYV2YQGIYMLSELWGM4GTHBLU}

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	2026-05-18T00:39:19.180973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aa58aeb103230c5c88bb199c34ce15d397cb4cc7a13d9499a3d5f65d3426993

Aliases

arxiv: 1707.08889 · arxiv_version: 1707.08889v1 · doi: 10.48550/arxiv.1707.08889 · pith_short_12: NKSYV2YQGIYM · pith_short_16: NKSYV2YQGIYMLSEL · pith_short_8: NKSYV2YQ

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/NKSYV2YQGIYMLSELWGM4GTHBLU \
  | 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: 6aa58aeb103230c5c88bb199c34ce15d397cb4cc7a13d9499a3d5f65d3426993

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee071c811b3bf9b43d0fa84ea3c0473f98a639d887a0bda366fec93726be5286",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-07-26T06:53:17Z",
    "title_canon_sha256": "446b05108cce3d63d142cc49f56db3cbca2521ca9891a2ae3ba31c51b169bedd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08889",
    "kind": "arxiv",
    "version": 1
  }
}