Pith Number

pith:QQKY2WC6

pith:2013:QQKY2WC6XV5LGDGVDR2VJ5F2BW

not attested not anchored not stored refs pending

Explicit Description of HARA Forward Utilities and Their Optimal Portfolios

Junfeng Ma, Tahir Choulli

arxiv:1307.0785 v1 · 2013-07-02 · q-fin.GN · 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{QQKY2WC6XV5LGDGVDR2VJ5F2BW}

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	2026-05-18T03:19:24.646793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84158d585ebd7ab30cd51c7554f4ba0d9b94b3e6da14780db8f48443229f3f1d

Aliases

arxiv: 1307.0785 · arxiv_version: 1307.0785v1 · doi: 10.48550/arxiv.1307.0785 · pith_short_12: QQKY2WC6XV5L · pith_short_16: QQKY2WC6XV5LGDGV · pith_short_8: QQKY2WC6

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/QQKY2WC6XV5LGDGVDR2VJ5F2BW \
  | 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: 84158d585ebd7ab30cd51c7554f4ba0d9b94b3e6da14780db8f48443229f3f1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6c66bf979dcbe85eacc22efb96eafb7f97f532eb01b96952a0de995a32f2ceb",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR",
      "q-fin.PM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.GN",
    "submitted_at": "2013-07-02T18:23:22Z",
    "title_canon_sha256": "2b42b1de97e775d1c83337855ea575f8ce5f8834a22dcf5967b80dc37189672e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0785",
    "kind": "arxiv",
    "version": 1
  }
}