Pith Number

pith:4UNWIVJM

pith:2019:4UNWIVJMZL5GMJLSY7OEC7J4RI

not attested not anchored not stored refs pending

Backward doubly stochastic Volterra integral equations and applications to optimal control problems

Jiaqiang Wen, Jie Xiong, Yufeng Shi

arxiv:1906.10582 v1 · 2019-06-25 · math.PR · 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{4UNWIVJMZL5GMJLSY7OEC7J4RI}

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	2026-05-17T23:42:15.903046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e51b64552ccafa662572c7dc417d3c8a15cf26c4a676bfe03c522f0f52b3097b

Aliases

arxiv: 1906.10582 · arxiv_version: 1906.10582v1 · doi: 10.48550/arxiv.1906.10582 · pith_short_12: 4UNWIVJMZL5G · pith_short_16: 4UNWIVJMZL5GMJLS · pith_short_8: 4UNWIVJM

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/4UNWIVJMZL5GMJLSY7OEC7J4RI \
  | 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: e51b64552ccafa662572c7dc417d3c8a15cf26c4a676bfe03c522f0f52b3097b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a9cf7b7ed15cd3d73de8bba21bb80f77fba7ae407f3568b3511b532d0e7c584",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-06-25T15:01:45Z",
    "title_canon_sha256": "9a4cafad8b660d3b0c53ca182bdac624470534cdfe39c8cc803fc5b5c33e62dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.10582",
    "kind": "arxiv",
    "version": 1
  }
}