Pith Number

pith:5XRGG5YK

pith:2010:5XRGG5YKORTXLGIU5WVEPKXLOB

not attested not anchored not stored refs pending

Backward stochastic differential equations under super linear G-expectation and associated Hamilton-Jacobi-Bellman equations

Yuhong Xu

arxiv:1009.1042 v1 · 2010-09-06 · 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{5XRGG5YKORTXLGIU5WVEPKXLOB}

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	2026-05-18T04:41:24.157812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ede263770a7467759914edaa47aaeb706797396635f5ecf20788f7968ab5296e

Aliases

arxiv: 1009.1042 · arxiv_version: 1009.1042v1 · doi: 10.48550/arxiv.1009.1042 · pith_short_12: 5XRGG5YKORTX · pith_short_16: 5XRGG5YKORTXLGIU · pith_short_8: 5XRGG5YK

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/5XRGG5YKORTXLGIU5WVEPKXLOB \
  | 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: ede263770a7467759914edaa47aaeb706797396635f5ecf20788f7968ab5296e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e42335d80d5f77356a081406ddaa1f0689456fed54561567b4b838b75bae3410",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-06T12:45:21Z",
    "title_canon_sha256": "36d659380638cc4f453291439477aa888a94fdf9cc65672945576a66f166f914"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1042",
    "kind": "arxiv",
    "version": 1
  }
}