Pith Number

pith:XBIJYL5C

pith:2015:XBIJYL5CIUSSEMEFBJTVLWA63N

not attested not anchored not stored refs pending

Statistical Estimation of Composite Risk Functionals and Risk Optimization Problems

Andrzej Ruszczynski, Darinka Dentcheva, Spiridon Penev

arxiv:1504.02658 v1 · 2015-04-10 · math.ST · 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{XBIJYL5CIUSSEMEFBJTVLWA63N}

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	2026-05-18T02:19:06.942487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8509c2fa245252230850a6755d81edb6a4c1f7f170a5905cb89bf48a3821c4d

Aliases

arxiv: 1504.02658 · arxiv_version: 1504.02658v1 · doi: 10.48550/arxiv.1504.02658 · pith_short_12: XBIJYL5CIUSS · pith_short_16: XBIJYL5CIUSSEMEF · pith_short_8: XBIJYL5C

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/XBIJYL5CIUSSEMEFBJTVLWA63N \
  | 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: b8509c2fa245252230850a6755d81edb6a4c1f7f170a5905cb89bf48a3821c4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40a6511f65059baf9dd0c7c2405a200bc311f6ce2a3a9ff48719dde4a1a48096",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-04-10T12:30:45Z",
    "title_canon_sha256": "b17ff01f15e180941f072525e26ecc8af5191c025773d04b109a9f2fac86d672"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02658",
    "kind": "arxiv",
    "version": 1
  }
}