Pith Number

pith:4QF7ZNHW

pith:2013:4QF7ZNHWNUZCHZ5L4EIXNZTRC4

not attested not anchored not stored refs pending

Relative Robust Portfolio Optimization

Raphael Hauser, Reha T\"ut\"unc\"u, Vijay Krishnamurthy

arxiv:1305.0144 v2 · 2013-05-01 · q-fin.PM · math.OC · q-fin.CP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4QF7ZNHWNUZCHZ5L4EIXNZTRC4}

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	2026-05-18T03:25:58.061876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e40bfcb4f66d3223e7abe11176e671170ca2ac175bf903eb6bb3d1af02031b2c

Aliases

arxiv: 1305.0144 · arxiv_version: 1305.0144v2 · doi: 10.48550/arxiv.1305.0144 · pith_short_12: 4QF7ZNHWNUZC · pith_short_16: 4QF7ZNHWNUZCHZ5L · pith_short_8: 4QF7ZNHW

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/4QF7ZNHWNUZCHZ5L4EIXNZTRC4 \
  | 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: e40bfcb4f66d3223e7abe11176e671170ca2ac175bf903eb6bb3d1af02031b2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fdb605fda5e494d3f3edfc2eeffdd464da75bd4e1b8824a67980e241e62552e",
    "cross_cats_sorted": [
      "math.OC",
      "q-fin.CP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2013-05-01T11:12:47Z",
    "title_canon_sha256": "74afe24b913f663b06135abcc6ec12a9d4af795926fc2b457185339904272580"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0144",
    "kind": "arxiv",
    "version": 2
  }
}