Pith Number

pith:4AHNCLLE

pith:2017:4AHNCLLEMMWDCPSSDNXTQMG4YW

not attested not anchored not stored refs pending

Optimal Portfolio under Fractional Stochastic Environment

Jean-Pierre Fouque, Ruimeng Hu

arxiv:1703.06969 v2 · 2017-03-20 · q-fin.MF

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4AHNCLLEMMWDCPSSDNXTQMG4YW}

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	2026-05-18T00:28:25.618152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e00ed12d64632c313e521b6f3830dcc5904a8fd8a88b8eaa90fa95796d2cf5a7

Aliases

arxiv: 1703.06969 · arxiv_version: 1703.06969v2 · doi: 10.48550/arxiv.1703.06969 · pith_short_12: 4AHNCLLEMMWD · pith_short_16: 4AHNCLLEMMWDCPSS · pith_short_8: 4AHNCLLE

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/4AHNCLLEMMWDCPSSDNXTQMG4YW \
  | 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: e00ed12d64632c313e521b6f3830dcc5904a8fd8a88b8eaa90fa95796d2cf5a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "916e39b8622b35dd1589bd1e90b712223a9111f6d113807aa24e1227417eff4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2017-03-20T21:04:44Z",
    "title_canon_sha256": "c231a28c444a0979dde0bad32642c2ada94ac04c0c17fa366eb34e08e0c565fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06969",
    "kind": "arxiv",
    "version": 2
  }
}