Pith Number

pith:42HOF3OX

pith:2016:42HOF3OXDHTE7JIUVGBH2EGKSY

not attested not anchored not stored refs pending

Maximizing and Minimizing Investment Concentration with Constraints of Budget and Investment Risk

Takashi Shinzato

arxiv:1608.04522 v1 · 2016-08-16 · q-fin.PM · cond-mat.dis-nn · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42HOF3OXDHTE7JIUVGBH2EGKSY}

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	2026-05-18T01:08:36.997072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e68ee2edd719e64fa514a9827d10ca9629748ab019661894a037fb71173173e3

Aliases

arxiv: 1608.04522 · arxiv_version: 1608.04522v1 · doi: 10.48550/arxiv.1608.04522 · pith_short_12: 42HOF3OXDHTE · pith_short_16: 42HOF3OXDHTE7JIU · pith_short_8: 42HOF3OX

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/42HOF3OXDHTE7JIUVGBH2EGKSY \
  | 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: e68ee2edd719e64fa514a9827d10ca9629748ab019661894a037fb71173173e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ac41bd50ac3ae1d7bf7b6c96563dafd3d0482ffa3c269a9dbf01ad6df8a8b08",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2016-08-16T09:12:17Z",
    "title_canon_sha256": "b16a823a3eb1ea43e7de0f9d49b30b3639021e7875a8daca42ece4bb06195d2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04522",
    "kind": "arxiv",
    "version": 1
  }
}