Pith Number

pith:5JUGAFTU

pith:2018:5JUGAFTUZL6QDRTCGL2X5HEOYB

not attested not anchored not stored refs pending

Singularly perturbed forward-backward stochastic differential equations: application to the optimal control of bilinear systems

Carsten Hartmann, Lara Neureither, Omar Kebiri

arxiv:1802.04978 v2 · 2018-02-14 · math.DS · 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{5JUGAFTUZL6QDRTCGL2X5HEOYB}

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	2026-05-18T00:20:35.103559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea68601674cafd01c66232f57e9c8ec05d3148a0fdd5bc348c7be66d83168a90

Aliases

arxiv: 1802.04978 · arxiv_version: 1802.04978v2 · doi: 10.48550/arxiv.1802.04978 · pith_short_12: 5JUGAFTUZL6Q · pith_short_16: 5JUGAFTUZL6QDRTC · pith_short_8: 5JUGAFTU

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/5JUGAFTUZL6QDRTCGL2X5HEOYB \
  | 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: ea68601674cafd01c66232f57e9c8ec05d3148a0fdd5bc348c7be66d83168a90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c593eae6f681dd122f89516864cad46d3507c665cbc7f9b4cb626b73439fd53",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-02-14T07:49:21Z",
    "title_canon_sha256": "81e34af6912076a9e674976df1fd118b25ef96c21b7bc03008b8cf83438d467c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04978",
    "kind": "arxiv",
    "version": 2
  }
}