Pith Number

pith:FGSJZEJF

pith:2014:FGSJZEJFL7TMWOFWRWAMRARFQO

not attested not anchored not stored refs pending

Jensen's Inequality for Backward SDEs Driven by $G$-Brownian motion

Ze-Chun Hu, Zhen-Ling Wang

arxiv:1407.3039 v1 · 2014-07-11 · 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{FGSJZEJFL7TMWOFWRWAMRARFQO}

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	2026-05-18T02:47:52.174604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29a49c91255fe6cb38b68d80c8822583b73efb3cdf1687c551de34b9502fb07b

Aliases

arxiv: 1407.3039 · arxiv_version: 1407.3039v1 · doi: 10.48550/arxiv.1407.3039 · pith_short_12: FGSJZEJFL7TM · pith_short_16: FGSJZEJFL7TMWOFW · pith_short_8: FGSJZEJF

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/FGSJZEJFL7TMWOFWRWAMRARFQO \
  | 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: 29a49c91255fe6cb38b68d80c8822583b73efb3cdf1687c551de34b9502fb07b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d130ad6ac6ca3a73cde416485daf794f9f8f39b2068c3ee7b7d85a02898b4ffe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-07-11T06:45:40Z",
    "title_canon_sha256": "1da7166d784955a8d66ed8fbf7f3674efcfb3520b8f6e744187df66a934e46ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3039",
    "kind": "arxiv",
    "version": 1
  }
}