Pith Number

pith:YQYLAPC4

pith:2012:YQYLAPC4KR62JXSDJS7WG7QWNE

not attested not anchored not stored refs pending

Asymptotic Properties of Coupled Forward-Backward Stochastic Differential Equations

Ana Bela Cruzeiro, Andr\'e de Oliveira Gomes, Liangquan Zhang

arxiv:1203.0862 v5 · 2012-03-05 · 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{YQYLAPC4KR62JXSDJS7WG7QWNE}

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	2026-05-18T03:08:14.703905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c430b03c5c547da4de434cbf637e16690b14b1992ab885dc8a861e9f6c51664e

Aliases

arxiv: 1203.0862 · arxiv_version: 1203.0862v5 · doi: 10.48550/arxiv.1203.0862 · pith_short_12: YQYLAPC4KR62 · pith_short_16: YQYLAPC4KR62JXSD · pith_short_8: YQYLAPC4

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/YQYLAPC4KR62JXSDJS7WG7QWNE \
  | 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: c430b03c5c547da4de434cbf637e16690b14b1992ab885dc8a861e9f6c51664e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6626f5a27e70669bbef3577dcfdb569e11cba70fc09761fc21550c536976ddb4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-05T11:14:42Z",
    "title_canon_sha256": "16d4fcf3e16a6f20e8f737fcdfd7bf7f369f2d4df1c96c9c59ec13f81a2ce2e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0862",
    "kind": "arxiv",
    "version": 5
  }
}