Pith Number

pith:L5AGV6U4

pith:2012:L5AGV6U4U64FE33C27P5NRDB7Z

not attested not anchored not stored refs pending

Backward stochastic partial differential equations with quadratic growth

Kai Du, Shaokuan Chen

arxiv:1207.5286 v1 · 2012-07-23 · 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{L5AGV6U4U64FE33C27P5NRDB7Z}

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	2026-05-18T03:50:23.965965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f406afa9ca7b8526f62d7dfd6c461fe578f7ec979249a4239bebbed54a99b44

Aliases

arxiv: 1207.5286 · arxiv_version: 1207.5286v1 · doi: 10.48550/arxiv.1207.5286 · pith_short_12: L5AGV6U4U64F · pith_short_16: L5AGV6U4U64FE33C · pith_short_8: L5AGV6U4

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/L5AGV6U4U64FE33C27P5NRDB7Z \
  | 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: 5f406afa9ca7b8526f62d7dfd6c461fe578f7ec979249a4239bebbed54a99b44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "039869d4ec8573a44d5dc77c2cb810c3d442a9032bcd028bad14c7c1bdc45755",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-23T03:43:29Z",
    "title_canon_sha256": "613c0f0190180cdf01d3e6ffea38039c8ec0993e27403da12240d33a20dc3746"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5286",
    "kind": "arxiv",
    "version": 1
  }
}