Pith Number

pith:VJ4TI2EG

pith:2016:VJ4TI2EG7A6I3SVIUBAZX5HCC7

not attested not anchored not stored refs pending

Mean-field backward stochastic differential equations driven by fractional Brownian motion

Jiaqiang Wen, Yufeng Shi

arxiv:1606.02014 v2 · 2016-06-07 · 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{VJ4TI2EG7A6I3SVIUBAZX5HCC7}

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	2026-05-18T00:43:35.801359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa79346886f83c8dcaa8a0419bf4e217e88beff7800b461bd0d93f8c85bb388e

Aliases

arxiv: 1606.02014 · arxiv_version: 1606.02014v2 · doi: 10.48550/arxiv.1606.02014 · pith_short_12: VJ4TI2EG7A6I · pith_short_16: VJ4TI2EG7A6I3SVI · pith_short_8: VJ4TI2EG

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/VJ4TI2EG7A6I3SVIUBAZX5HCC7 \
  | 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: aa79346886f83c8dcaa8a0419bf4e217e88beff7800b461bd0d93f8c85bb388e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5055a01a0481178e0441d8e96142c51b5b7feb201784454829274c782756713b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-07T03:46:20Z",
    "title_canon_sha256": "f62e756cc084c9e083abb4d99e0a27b758fc947d64c2a2ed65c6534bd626da03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02014",
    "kind": "arxiv",
    "version": 2
  }
}