Pith Number

pith:YEB6P74F

pith:2013:YEB6P74F7NSYK2B3LFWBST4D74

not attested not anchored not stored refs pending

Optimal stochastic control and optimal consumption and portfolio with G-Brownian motion

Chen Fei, Weiyin Fei

arxiv:1309.0209 v1 · 2013-09-01 · math.OC · 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{YEB6P74F7NSYK2B3LFWBST4D74}

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	2026-05-18T03:14:28.586420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c103e7ff85fb6585683b596c194f83ff142b8222855b716d93ca5a915bf2fc63

Aliases

arxiv: 1309.0209 · arxiv_version: 1309.0209v1 · doi: 10.48550/arxiv.1309.0209 · pith_short_12: YEB6P74F7NSY · pith_short_16: YEB6P74F7NSYK2B3 · pith_short_8: YEB6P74F

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/YEB6P74F7NSYK2B3LFWBST4D74 \
  | 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: c103e7ff85fb6585683b596c194f83ff142b8222855b716d93ca5a915bf2fc63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07067ae237e6c5e3ed2c3c7b701c7dad3f6d699f4aaa32dc158e24ec5c1636f9",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-09-01T12:04:01Z",
    "title_canon_sha256": "ef4e8684a95aef0bd5453198eabb6f317af0cbc7f8949a56ca98d96ac07bac2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0209",
    "kind": "arxiv",
    "version": 1
  }
}