Pith Number

pith:X6ACFKYL

pith:2012:X6ACFKYL2EMLKV3EAMYIC7IQNT

not attested not anchored not stored refs pending

Comparison Theorem, Feynman-Kac Formula and Girsanov Transformation for BSDEs Driven by G-Brownian Motion

Mingshang Hu, Shaolin Ji, Shige Peng, Yongsheng Song

arxiv:1212.5403 v1 · 2012-12-21 · 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{X6ACFKYL2EMLKV3EAMYIC7IQNT}

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	2026-05-18T03:37:54.577382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf8022ab0bd118b557640330817d106cedcf9325aa173740c1f4f0b302571cad

Aliases

arxiv: 1212.5403 · arxiv_version: 1212.5403v1 · doi: 10.48550/arxiv.1212.5403 · pith_short_12: X6ACFKYL2EML · pith_short_16: X6ACFKYL2EMLKV3E · pith_short_8: X6ACFKYL

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/X6ACFKYL2EMLKV3EAMYIC7IQNT \
  | 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: bf8022ab0bd118b557640330817d106cedcf9325aa173740c1f4f0b302571cad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5751cc2dbaa4b066c5745f43baa13949d858f8f1c5c9b83a2bbbc5d1de44b637",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-21T11:37:47Z",
    "title_canon_sha256": "d20efe000ef04180f3e8658fdbc40a08ffdfd8dab6c60a7f5862a87efdec7ed3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5403",
    "kind": "arxiv",
    "version": 1
  }
}