Pith Number

pith:5HSAZYTY

pith:2016:5HSAZYTY7SEUPQWKJWIN7BRZMA

not attested not anchored not stored refs pending

Explicit solutions for continuous time mean-variance portfolio selection with nonlinear wealth equations

Shaolin Ji, Xiaomin Shi

arxiv:1606.05488 v1 · 2016-06-17 · q-fin.MF · math.OC · math.PR · 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{5HSAZYTY7SEUPQWKJWIN7BRZMA}

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	2026-05-18T01:12:19.494379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9e40ce278fc8947c2ca4d90df8639603af7b8004c377ad1e5a340a8c072ed18

Aliases

arxiv: 1606.05488 · arxiv_version: 1606.05488v1 · doi: 10.48550/arxiv.1606.05488 · pith_short_12: 5HSAZYTY7SEU · pith_short_16: 5HSAZYTY7SEUPQWK · pith_short_8: 5HSAZYTY

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/5HSAZYTY7SEUPQWKJWIN7BRZMA \
  | 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: e9e40ce278fc8947c2ca4d90df8639603af7b8004c377ad1e5a340a8c072ed18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b744ccf2d8051b1fe92fc5eee60e361165e85547604554113d17cffa45b9f14",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR",
      "q-fin.PM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2016-06-17T11:49:46Z",
    "title_canon_sha256": "576aacff727bad329bf019d10cd50a5c5c329425e5fd80c1398d1407d55347e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05488",
    "kind": "arxiv",
    "version": 1
  }
}