Pith Number

pith:VCZTJUWE

pith:2016:VCZTJUWEGAXLD5DWPCRQZ66ZOQ

not attested not anchored not stored refs pending

Quadratic backward stochastic differential equations driven by $G$-Brownian motion: discrete solutions and approximation

Abdoulaye Soumana Hima, Ying Hu, Yiqing Lin

arxiv:1603.03637 v2 · 2016-03-11 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCZTJUWEGAXLD5DWPCRQZ66ZOQ}

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	2026-05-18T01:18:56.845125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8b334d2c4302eb1f47678a30cfbd9743a03bcad95dbf9155cef0544de3f0170

Aliases

arxiv: 1603.03637 · arxiv_version: 1603.03637v2 · doi: 10.48550/arxiv.1603.03637 · pith_short_12: VCZTJUWEGAXL · pith_short_16: VCZTJUWEGAXLD5DW · pith_short_8: VCZTJUWE

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/VCZTJUWEGAXLD5DWPCRQZ66ZOQ \
  | 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: a8b334d2c4302eb1f47678a30cfbd9743a03bcad95dbf9155cef0544de3f0170

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "030d0350f1533797174541bbe9303ec99d7b892d4a8ef26d17af0bdfd408904c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-03-11T14:26:56Z",
    "title_canon_sha256": "b3072192d6e03d649042e9cfda6b8060c8677a452cb0f594e6e7a2419a8e3c20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03637",
    "kind": "arxiv",
    "version": 2
  }
}