Pith Number

pith:PUOAXHKA

pith:2016:PUOAXHKAB6CSBLHHV2QKDDST4K

not attested not anchored not stored refs pending

An explicit formula for optimal portfolios in complete Wiener driven markets: a functional It\^o calculus approach

Kristoffer Lindensj\"o

arxiv:1610.05018 v2 · 2016-10-17 · 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{PUOAXHKAB6CSBLHHV2QKDDST4K}

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	2026-05-18T00:27:04.812920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d1c0b9d400f8520ace7aea0a18e53e2806814c19d88f0e9296feff6739a14c4

Aliases

arxiv: 1610.05018 · arxiv_version: 1610.05018v2 · doi: 10.48550/arxiv.1610.05018 · pith_short_12: PUOAXHKAB6CS · pith_short_16: PUOAXHKAB6CSBLHH · pith_short_8: PUOAXHKA

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/PUOAXHKAB6CSBLHHV2QKDDST4K \
  | 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: 7d1c0b9d400f8520ace7aea0a18e53e2806814c19d88f0e9296feff6739a14c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df29d4cd6b4f2cb4f982983de0310d6d46cce1b57942948d99a88db57914d6f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2016-10-17T08:59:21Z",
    "title_canon_sha256": "3d985c14ba1f3a82d13ac0032f56990dd620050ca57a6b7d5bae95f2f96bbe70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05018",
    "kind": "arxiv",
    "version": 2
  }
}