Pith Number

pith:IQ3ONRMN

pith:2016:IQ3ONRMN5LTNFZSPWFNMBDA6BK

not attested not anchored not stored refs pending

Forward-backward stochastic differential equations with monotone functionals and mean field games with common noise

Saran Ahuja, Tzu-Wei Yang, Weiluo Ren

arxiv:1611.04680 v4 · 2016-11-15 · 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{IQ3ONRMN5LTNFZSPWFNMBDA6BK}

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	2026-05-18T00:08:57.750176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4436e6c58deae6d2e64fb15ac08c1e0a9c1043f09c73cc4489111d4e1fe157af

Aliases

arxiv: 1611.04680 · arxiv_version: 1611.04680v4 · doi: 10.48550/arxiv.1611.04680 · pith_short_12: IQ3ONRMN5LTN · pith_short_16: IQ3ONRMN5LTNFZSP · pith_short_8: IQ3ONRMN

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/IQ3ONRMN5LTNFZSPWFNMBDA6BK \
  | 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: 4436e6c58deae6d2e64fb15ac08c1e0a9c1043f09c73cc4489111d4e1fe157af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93a2da119da86c57c63c5953978330657d5a6d447139d576cce87467e6a0d9f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-15T02:48:00Z",
    "title_canon_sha256": "18b257bf266477610e7562c3d81025388c499175f5ebb67b4d85f58f6e321da8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04680",
    "kind": "arxiv",
    "version": 4
  }
}