Pith Number

pith:DWZNJXMY

pith:2017:DWZNJXMYUXSJISOAKQKVYXBO5Z

not attested not anchored not stored refs pending

A General Framework for Portfolio Theory. Part I: theory and various models

Qiji Jim Zhu, Stanislaus Maier-Paape

arxiv:1710.04579 v1 · 2017-10-12 · 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{DWZNJXMYUXSJISOAKQKVYXBO5Z}

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	2026-05-18T00:15:58.921432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1db2d4dd98a5e49449c054155c5c2eee51e4103e6f987d09c13714cfe72ffb8a

Aliases

arxiv: 1710.04579 · arxiv_version: 1710.04579v1 · doi: 10.48550/arxiv.1710.04579 · pith_short_12: DWZNJXMYUXSJ · pith_short_16: DWZNJXMYUXSJISOA · pith_short_8: DWZNJXMY

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/DWZNJXMYUXSJISOAKQKVYXBO5Z \
  | 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: 1db2d4dd98a5e49449c054155c5c2eee51e4103e6f987d09c13714cfe72ffb8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2422f676a4ebe3dad3295565b54a2aa2e3c26d533dc41ca2cc6844b86920f45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2017-10-12T15:50:55Z",
    "title_canon_sha256": "575668062dcbcf8d6fb328a486c3c18d8ab66a25f2a15990d271a2711eaccd28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04579",
    "kind": "arxiv",
    "version": 1
  }
}