Pith Number

pith:2FFIAT2T

pith:2019:2FFIAT2TPOPXYHYQ2IWLJ6MSUW

not attested not anchored not stored refs pending

Macroscopic theorem of the portfolio optimization problem with a risk-free asset

Ippei Suzuki, Takashi Shinzato

arxiv:1906.08892 v1 · 2019-06-20 · q-fin.PM · cond-mat.dis-nn · cond-mat.stat-mech · math.OC · 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{2FFIAT2TPOPXYHYQ2IWLJ6MSUW}

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	2026-05-17T23:42:47.507031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d14a804f537b9f7c1f10d22cb4f992a5a01e6c67389920ef268668d1c004ab81

Aliases

arxiv: 1906.08892 · arxiv_version: 1906.08892v1 · doi: 10.48550/arxiv.1906.08892 · pith_short_12: 2FFIAT2TPOPX · pith_short_16: 2FFIAT2TPOPXYHYQ · pith_short_8: 2FFIAT2T

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/2FFIAT2TPOPXYHYQ2IWLJ6MSUW \
  | 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: d14a804f537b9f7c1f10d22cb4f992a5a01e6c67389920ef268668d1c004ab81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eae14d059834a4b34ce6ad9d5a46c02d912f4b67cebf8d271467cb58b73edff9",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech",
      "math.OC",
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2019-06-20T22:58:05Z",
    "title_canon_sha256": "d0c1f924579a391592492abdb276240d04ba3bd9f911e910519dc9f00d0349ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08892",
    "kind": "arxiv",
    "version": 1
  }
}