Pith Number

pith:QEBCZ33J

pith:2014:QEBCZ33JUZIVIEXQI3CUVZFITA

not attested not anchored not stored refs pending

Optimal Control Problems of Forward-Backward Stochastic Volterra Integral Equations

Jiongmin Yong, Tianxiao Wang, Yufeng Shi

arxiv:1404.7577 v1 · 2014-04-30 · 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{QEBCZ33JUZIVIEXQI3CUVZFITA}

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	2026-05-18T02:52:55.289231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81022cef69a6515412f046c54ae4a8981affaee1a457c9165f6ed560fe6fe248

Aliases

arxiv: 1404.7577 · arxiv_version: 1404.7577v1 · doi: 10.48550/arxiv.1404.7577 · pith_short_12: QEBCZ33JUZIV · pith_short_16: QEBCZ33JUZIVIEXQ · pith_short_8: QEBCZ33J

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/QEBCZ33JUZIVIEXQI3CUVZFITA \
  | 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: 81022cef69a6515412f046c54ae4a8981affaee1a457c9165f6ed560fe6fe248

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f565d287256854597d9859ede01542f40ed8f1d9915f6e20ce2ef21e83392e6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-04-30T02:46:18Z",
    "title_canon_sha256": "670c3d787c6a0cbc0078ffc4c44aabd80cfedc930289125876d8d57324e46f36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7577",
    "kind": "arxiv",
    "version": 1
  }
}