Pith Number

pith:2UOJDN3W

pith:2013:2UOJDN3WB2R6DGJJPHVPSNHXM7

not attested not anchored not stored refs pending

Representation theorem for generators of BSDEs driven by G-Brownian motion and its applications

Kun Heand, Mingshang Hu

arxiv:1306.1929 v1 · 2013-06-08 · 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{2UOJDN3WB2R6DGJJPHVPSNHXM7}

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	2026-05-18T03:21:22.831902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d51c91b7760ea3e1992979eaf934f767cd86227b646827d7721870938c8eedc3

Aliases

arxiv: 1306.1929 · arxiv_version: 1306.1929v1 · doi: 10.48550/arxiv.1306.1929 · pith_short_12: 2UOJDN3WB2R6 · pith_short_16: 2UOJDN3WB2R6DGJJ · pith_short_8: 2UOJDN3W

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/2UOJDN3WB2R6DGJJPHVPSNHXM7 \
  | 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: d51c91b7760ea3e1992979eaf934f767cd86227b646827d7721870938c8eedc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e190c96125680d359e5bf84b05f4899a55790103257d068b5c3a322ce0265772",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-08T15:15:49Z",
    "title_canon_sha256": "3642694624061eb362fd843fcc191f0cf9e01405549fb4e3d4983f208eacb510"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1929",
    "kind": "arxiv",
    "version": 1
  }
}