Pith Number

pith:DJMEKNDS

pith:2012:DJMEKNDSHHB6HZRPCY66YPQOU4

not attested not anchored not stored refs pending

Reflected Mean-Field Backward Stochastic Differential Equations. Approximation and Associated Nonlinear PDEs

Juan Li

arxiv:1210.0628 v1 · 2012-10-02 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DJMEKNDSHHB6HZRPCY66YPQOU4}

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	2026-05-18T03:44:14.674427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a5845347239c3e3e62f163dec3e0ea72a5ebd9e0a83527b8e135b0aef04ea00

Aliases

arxiv: 1210.0628 · arxiv_version: 1210.0628v1 · doi: 10.48550/arxiv.1210.0628 · pith_short_12: DJMEKNDSHHB6 · pith_short_16: DJMEKNDSHHB6HZRP · pith_short_8: DJMEKNDS

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/DJMEKNDSHHB6HZRPCY66YPQOU4 \
  | 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: 1a5845347239c3e3e62f163dec3e0ea72a5ebd9e0a83527b8e135b0aef04ea00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15ca047edf6452bca2f9709b7c0279503b4ceb604216fb0e03206801e1722fb0",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-02T01:20:38Z",
    "title_canon_sha256": "7ea33373f95aeb0a7097c34af6a8b7369169de34a4ed7f2c49811a3295c3f942"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0628",
    "kind": "arxiv",
    "version": 1
  }
}