Pith Number

pith:JQF6U3NS

pith:2016:JQF6U3NS6IUEBQTUL5DCPNST5H

not attested not anchored not stored refs pending

Model-free portfolio theory and its functional master formula

Alexander Schied, Iryna Voloshchenko, Leo Speiser

arxiv:1606.03325 v5 · 2016-06-10 · q-fin.PM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JQF6U3NS6IUEBQTUL5DCPNST5H}

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	2026-05-18T00:15:05.768085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c0bea6db2f22840c2745f4627b653e9dc1098e66b41e49f0bc8e4b8a3845f05

Aliases

arxiv: 1606.03325 · arxiv_version: 1606.03325v5 · doi: 10.48550/arxiv.1606.03325 · pith_short_12: JQF6U3NS6IUE · pith_short_16: JQF6U3NS6IUEBQTU · pith_short_8: JQF6U3NS

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/JQF6U3NS6IUEBQTUL5DCPNST5H \
  | 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: 4c0bea6db2f22840c2745f4627b653e9dc1098e66b41e49f0bc8e4b8a3845f05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "850ab256fd66794f7e0d49f9d12e384668a38813b4d3954a125da7195ec811ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2016-06-10T13:57:44Z",
    "title_canon_sha256": "fc566d1d3840e5cc94bda7e25fd598e9338c4eb039f28326a7ad751ec4fcbac2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03325",
    "kind": "arxiv",
    "version": 5
  }
}