Pith Number

pith:KXIZATDB

pith:2016:KXIZATDBCC25O5LBKRLFMABHVB

not attested not anchored not stored refs pending

Optimal control problems of forward-backward stochastic Volterra integral equations with closed control regions

Haisen Zhang, Tianxiao Wang

arxiv:1602.05661 v1 · 2016-02-18 · 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{KXIZATDBCC25O5LBKRLFMABHVB}

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	2026-05-18T01:20:23.543662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55d1904c6110b5d775615456560027a840fd659a10692c9f1bd4a6f3f764c991

Aliases

arxiv: 1602.05661 · arxiv_version: 1602.05661v1 · doi: 10.48550/arxiv.1602.05661 · pith_short_12: KXIZATDBCC25 · pith_short_16: KXIZATDBCC25O5LB · pith_short_8: KXIZATDB

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/KXIZATDBCC25O5LBKRLFMABHVB \
  | 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: 55d1904c6110b5d775615456560027a840fd659a10692c9f1bd4a6f3f764c991

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c17a8b69bc2c38aab64c5a238423bd636fadda7654f9ded5a984a815937a43b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-02-18T02:33:15Z",
    "title_canon_sha256": "650e3bacd3636a34800dfbca7c8922a7928b139afa508d6fe0f0967e96b55be2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05661",
    "kind": "arxiv",
    "version": 1
  }
}