Pith Number

pith:SLH2FUCB

pith:2016:SLH2FUCBBWKFN36353IOIEYNSE

not attested not anchored not stored refs pending

Forward and Backward Mean-Field Stochastic Partial Differential Equation and Optimal Control

Maoning Tang, Qingxin Meng

arxiv:1610.02486 v1 · 2016-10-08 · 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{SLH2FUCBBWKFN36353IOIEYNSE}

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	2026-05-18T01:02:51.405168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92cfa2d0410d9456efdbeed0e4130d911ff79248090fb614fbf870a061f9a002

Aliases

arxiv: 1610.02486 · arxiv_version: 1610.02486v1 · doi: 10.48550/arxiv.1610.02486 · pith_short_12: SLH2FUCBBWKF · pith_short_16: SLH2FUCBBWKFN363 · pith_short_8: SLH2FUCB

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/SLH2FUCBBWKFN36353IOIEYNSE \
  | 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: 92cfa2d0410d9456efdbeed0e4130d911ff79248090fb614fbf870a061f9a002

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1626945b02fcaed52de2770f8c22bfea7758240eb916f9ee0d8397e11900d61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-10-08T05:22:27Z",
    "title_canon_sha256": "1fa9a570f6ffa7725d7e8182e55648dc6e802d66ce2ccbf7ca0ce43da554357a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02486",
    "kind": "arxiv",
    "version": 1
  }
}