Pith Number

pith:N42QK5MN

pith:2021:N42QK5MNTGOKBYYMKLJDB24M4P

not attested not anchored not stored refs pending

Forward-backward stochastic differential equations driven by G-Brownian motion

Huan Lu, Yongsheng Song

arxiv:2104.06868 v1 · 2021-04-14 · math.PR · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N42QK5MNTGOKBYYMKLJDB24M4P}

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.

Cited by

1 paper in Pith

G-BSDEs with non-Lipschitz coefficients and the corresponding stochastic recursive optimal control problem

Receipt and verification

First computed	2026-07-05T02:32:10.335025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f3505758d999ca0e30c52d230eb8ce3f0f3962c102935fbdc9fd050d312b641

Aliases

arxiv: 2104.06868 · arxiv_version: 2104.06868v1 · doi: 10.48550/arxiv.2104.06868 · pith_short_12: N42QK5MNTGOK · pith_short_16: N42QK5MNTGOKBYYM · pith_short_8: N42QK5MN

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/N42QK5MNTGOKBYYMKLJDB24M4P \
  | 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: 6f3505758d999ca0e30c52d230eb8ce3f0f3962c102935fbdc9fd050d312b641

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d89fbeeb411508d4c1ee4eb333243b5f3e84be189a45f968998ab7bbf317940f",
    "cross_cats_sorted": [
      "math.AP",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-04-14T14:05:15Z",
    "title_canon_sha256": "26577b1e53e580020947927243ab50ea60b9fb3c14d40f5b6a6fa57c84bcd2e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.06868",
    "kind": "arxiv",
    "version": 1
  }
}