Pith Number

pith:ZK56OXA3

pith:2017:ZK56OXA3JVPT63UDZYY2Y5LW72

not attested not anchored not stored refs pending

Linear Volterra backward stochastic differential equations

Bernt {\O}ksendal, Yaozhong Hu

arxiv:1708.00208 v1 · 2017-08-01 · 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{ZK56OXA3JVPT63UDZYY2Y5LW72}

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	2026-05-18T00:39:05.818423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cabbe75c1b4d5f3f6e83ce31ac7576feb005c4c7f2716b57bccdf077dacf14fc

Aliases

arxiv: 1708.00208 · arxiv_version: 1708.00208v1 · doi: 10.48550/arxiv.1708.00208 · pith_short_12: ZK56OXA3JVPT · pith_short_16: ZK56OXA3JVPT63UD · pith_short_8: ZK56OXA3

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/ZK56OXA3JVPT63UDZYY2Y5LW72 \
  | 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: cabbe75c1b4d5f3f6e83ce31ac7576feb005c4c7f2716b57bccdf077dacf14fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c564361375cea566145746fefaa8b4395e571a45d57e5fd783930c5f42a4b8da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-01T08:59:06Z",
    "title_canon_sha256": "c6e1e254a532ec9bbdce624de87e9174dbf75381e11b6a10aac4bc3ac97c5f89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00208",
    "kind": "arxiv",
    "version": 1
  }
}