Pith Number

pith:3XYT4OWZ

pith:2012:3XYT4OWZEGKPAQP45AHRL7KHH4

not attested not anchored not stored refs pending

Spectral Risk Measures, With Adaptions For Stochastic Optimization

Alois Pichler

arxiv:1209.3570 v1 · 2012-09-17 · math.ST · q-fin.RM · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XYT4OWZEGKPAQP45AHRL7KHH4}

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	2026-05-18T03:45:30.601767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddf13e3ad92194f041fce80f15fd473f2e5673a90a0f0ddaae9c6152ee61d681

Aliases

arxiv: 1209.3570 · arxiv_version: 1209.3570v1 · doi: 10.48550/arxiv.1209.3570 · pith_short_12: 3XYT4OWZEGKP · pith_short_16: 3XYT4OWZEGKPAQP4 · pith_short_8: 3XYT4OWZ

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/3XYT4OWZEGKPAQP45AHRL7KHH4 \
  | 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: ddf13e3ad92194f041fce80f15fd473f2e5673a90a0f0ddaae9c6152ee61d681

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db32a0b87ce5fc6ab269ff5f80577fd63cd08d82b7cb34178cf671ceb379c291",
    "cross_cats_sorted": [
      "q-fin.RM",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-09-17T08:01:18Z",
    "title_canon_sha256": "2d172e111c201a557431e35bd80ddab73740c4eb0989fb526ade281653e66dd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3570",
    "kind": "arxiv",
    "version": 1
  }
}