Pith Number

pith:NDUGMMVN

pith:2012:NDUGMMVNBSW5DL4VCBEFVS6VVU

not attested not anchored not stored refs pending

Local Risk-Minimization under the Benchmark Approach

Alessandra Cretarola, Eckhard Platen, Francesca Biagini

arxiv:1210.2337 v1 · 2012-10-08 · q-fin.PR · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NDUGMMVNBSW5DL4VCBEFVS6VVU}

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	2026-05-18T02:58:57.682710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68e86632ad0cadd1af9510485acbd5ad29e2987dae628c19d70c2dd0bfc1bc46

Aliases

arxiv: 1210.2337 · arxiv_version: 1210.2337v1 · doi: 10.48550/arxiv.1210.2337 · pith_short_12: NDUGMMVNBSW5 · pith_short_16: NDUGMMVNBSW5DL4V · pith_short_8: NDUGMMVN

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/NDUGMMVNBSW5DL4VCBEFVS6VVU \
  | 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: 68e86632ad0cadd1af9510485acbd5ad29e2987dae628c19d70c2dd0bfc1bc46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de49d84432bc090c7a4b2ece38de94ecacc38bab936b2f8f9976b8c0877e9172",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2012-10-08T16:53:26Z",
    "title_canon_sha256": "d54bfabf8e1bdd9347d46cb8adc45cb3c68af3107abacc7e49f1bd020835bc40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2337",
    "kind": "arxiv",
    "version": 1
  }
}